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Синтетические плавки в ДСП-3: как сгенерировать данные и не обмануть себя

Привет, Хабр! Эта история началась с того, что меня позвали пообщаться на тему работы в металлургическую компанию. Спросили коротко: «Готов?». Я оценил свои силы, масштаб задачи и ответил прямо — готов зайти сразу на позицию Head of AI, чтобы выстроить процесс от и до.

И тут начался классический корпоративный футбол. Несмотря на предметный разговор, мне начали делать голову из‑за отсутствия профильной вышки по программированию. Для суровой индустрии диплом оказался важнее реального опыта и понимания процессов. Поняв, что стандартным путем эту бюрократию не пробить, я решил пойти напролом: за пару недель собрать работающее MVP, показать товар лицом и жестко выделиться на фоне остальных кандидатов с «правильными» дипломами.

Спойлер: красивого хэппи‑энда не будет. Моё MVP до высшего руководства так и не донесли, а меня в итоге просто развернули на пороге. Но не пропадать же добру? Проект получился слишком интересным, чтобы просто похоронить его на жестком диске.

Эта статья посвящена исключительно генератору. Мы разберем, как он устроен «под капотом», какие неочевидные ошибки я в нем допустил, и как проверить, что синтетика не врет сама себе. Обучение CatBoost и создание работающего микросервиса‑советника мы оставим для второй части.

Статья написана так, чтобы репозиторий вам не понадобился: весь код приведен прямо здесь, в том порядке, в котором его удобно читать и воспроизводить. Если вы захотите пропустить теоретические объяснения, в конце каждого раздела есть готовый рабочий фрагмент кода, который можно скопировать и запустить у себя.

Зачем вообще синтетика

На металлургических предприятиях данные есть, но выложить их в открытый доступ нельзя: это коммерческая тайна. В итоге у тех, кто учится или хочет проверить идею, нет ничего, на чём можно обучить модель и сравнить подходы. Синтетический набор не заменяет реальные данные, но позволяет отладить весь конвейер: от генерации и обучения до интерфейса, и потом подставить настоящие плавки.

Задача такая. При выпуске стали из печи в ковш сталевар добавляет ферросплавы, чтобы вернуть выгоревшие кремний и марганец в рамки ГОСТ. Часть сплава сгорает, и сколько именно, заранее неизвестно. Поэтому дозу берут с запасом, а запас стоит денег. Хочется по тому, что известно до добавки, оценить минимальную дозу, которой хватает.

Что получится в конце

генератор, воспроизводимый по seed
датасет на 2000 плавок с 18 колонками и пятью проверками годности по ГОСТ 977–88

Все цифры в статье получены на данных, которые создал этот же генератор. Они описывают симулятор, а не реальную печь, и я буду напоминать об этом там, где это важно.

Что мы моделируем

Моделируется выплавка отливки 1 группы из стали 35Л по ГОСТ 977–88, массой 3 тонны, в дуговой печи ДСП-3 с основной футеровкой. Сырьём служит лом чёрных металлов категорий 2А и 6А по ГОСТ 2787–2019 и передельный чугун. Лом 2А — это кусковая чистая тяжёлая сталь, основа шихты. 6А — брикеты прессованной стальной стружки: дешевое сырьё, но с маслом и окалиной, откуда берётся сера. Чугун нужен как науглероживатель, потому что в самом ломе углерода около 0,15%.

Завалка всегда ровно 3300 кг: недогруз печи убыточен. Около 10% металла уходит в угар, и на выпуске мы получаем около 3000 кг жидкой стали.

Этапы плавки

Завалка. Взвешивают и загружают лом 2А, брикеты 6А и чугун.
Расплавление. Дуги плавят шихту, углерод после расплавления полностью определяется завалкой.
Продувка кислородом. Кислород выжигает лишний углерод и уносит газы. Если передуть, металл переокислится.
Наведение шлака. Известь даёт основность. Высокая основность связывает серу и фосфор, кислый шлак (ниже 2,0) — нет.
Выпуск. Металл сливают в ковш при заданной температуре по погружной термопаре.
Легирование в ковше. Добавляют ферросилиций ФС75 и ферромарганец ФМн78. Часть кремния и марганца угарает, а доля усвоения зависит от температуры, кислорода и основности.
Контроль ОТК. Итоговый состав и перегрев проверяются по допускам.

Диапазоны входных параметров

Параметр	Диапазон	Единицы
Лом 2А	1600–2500	кг
Брикеты 6А	400–1300	кг
Чугун	200–400	кг
Кислород	35–75	м³
Основность шлака	1,8–2,9	—
Температура выпуска	1530–1660	°C
ФС75	15–30	кг
ФМн78	20–40	кг

Пять условий годности

Плавка считается годной, только если одновременно выполнены все пять условий:

Условие	Допуск
Углерод	0,32–0,40%
Кремний	0,20–0,52%
Марганец	0,45–0,90%
Сера + фосфор (сумма)	не больше 0,040%
Перегрев над ликвидусом	+45…+70 °C

Если перегрев меньше 45 °C, металл густой и при заливке получится недолив. Если больше 70 °C, металл прожжёт форму и отливка покроется газовыми порами. Пометьте для себя: это упрощённая модель. В самом ГОСТе сера и фосфор нормируются по отдельности, а окно перегрева придумано мной для заливки в формы из ХТС и не взято из стандарта.

Диаграмма железо‑углерод и ликвидус

Температуру плавления стали мы считаем линейной аппроксимацией по химсоставу:

$T_{liq} = 1538 - 88\,C - 8\,Si - 5\,Mn$

Здесь C, Si и Mn — массовые проценты. Это приближение, достаточное для симулятора. Для расчётов на реальной печи берут коэффициенты из справочника или термодинамического расчёта.

Первая попытка: независимый рандом

Первое, что приходит в голову, — взять каждый параметр равномерно из его диапазона, а результат посчитать по формулам. Вот сокращённая версия моего первого генератора:

np.random.seed(42)
n = 100

чугун = np.random.uniform(250, 400, n)
стружка = np.random.uniform(400, 1200, n)
лом = 3300 - чугун - стружка

кислород = np.random.uniform(35, 75, n)
основность = np.random.uniform(1.8, 2.9, n)
temp_выпуска = np.random.uniform(1530, 1660, n)

фс75 = np.random.uniform(15, 30, n)
фмн78 = np.random.uniform(20, 40, n)

На 100 плавках из этого получилась одна годная. На 2000 плавок после нескольких правок их стало 127, то есть 6,3%. Причина не в сложной физике, а в арифметике. Пять условий должны выполниться одновременно, а каждое из них при независимых параметрах выполняется с вероятностью от десятков процентов до долей. Окно перегрева шириной 25 °C попадало в случайную температуру из диапазона 130 °C редко, и в первой версии 82% плавок вылетали именно по перегреву.

Основные причины брака в той версии:

Условие	Плавок вне допуска
Перегрев вне 45–70 °C	82%
Углерод вне 0,32–0,40%	54%
Кремний вне 0,20–0,52%	42%
Марганец вне 0,45–0,90%	6%
Сера и фосфор выше 0,040%	0%

Последняя строка отдельно неприятна: условие по сере и фосфору вообще никогда не срабатывало. Максимум по формуле был 0,030 при пороге 0,040, то есть критерий был мёртвым. Для обучения такой датасет бесполезен: модель видит один класс и не может выучить ничего про причины брака.

Принцип: оператор целится и ошибается

Каждый параметр, которым управляет человек, в симуляторе устроен одинаково: цель считается из предыдущего измерения, к ней добавляется шум (точность прибора или человеческий фактор), и результат зажимается в физические границы. Сравните:

# так не надо: температура не связана ни с чем
temp_выпуска = rng.uniform(1530, 1660, n)

# так лучше: целимся в ликвидус + перегрев и ошибаемся на термопаре
tap_temp = np.clip(
    liquidus_plan + TARGET_SUPERHEAT + rng.normal(0, 5, n), *TAP_TEMP_RANGE
)

По шагам это выглядит так:

Этап	Что мастер знает	Что он считает	Откуда шум
Завалка	целевой углерод шихты	массу чугуна	погрешность весов, ±4 кг
Продувка	углерод после расплавления	объём кислорода	расходомер, ±2 м³
Шлак	загрязнённость партии 6А по анализу	основность шлака	анализ ±0,04, дозатор извести ±0,08
Ферросплавы	остаточные Si и Mn, цель	дозы ФС75 и ФМн78 при номинальном усвоении	дозатор, ±1,2 и ±1,8 кг
Выпуск	плановый химсостав	температуру выпуска	термопара и задержка, ±5 °C

Обратите внимание на ферросплавы. Мастер считает дозу при номинальном усвоении (80% для марганца, 90% для кремния), потому что фактическое усвоение он узнает только после выпуска. Всё, что мешает усвоению (перегрев, передув, кислый шлак), потом уменьшает реальный результат, и именно эта разница между планом и фактом даёт и брак, и запас, который модель будет пытаться оценить.

Генератор: код по шагам

Проект — небольшой пакет eafsim. Структура:

eaf-melt-sim/
├── eafsim/
│   ├── __init__.py
│   ├── generator.py     # симулятор плавок
│   └── model.py         # цель, обучение CatBoost, инференс
├── app.py               # приложение Streamlit
├── tests/
│   └── test_pipeline.py
├── data/                # сюда пишется CSV
├── models/              # сюда пишется модель и метрики
└── requirements.txt

Зависимости:

numpy>=2.0
pandas>=2.2
scikit-learn>=1.5
catboost>=1.2
streamlit>=1.50
plotly>=5.20

Файл eafsim/__init__.py состоит из двух строк:

"""Synthetic electric arc furnace heats and a minimum FeMn78 dose model."""

__version__ = "0.1.0"

Константы и допуски

Все числа, которые описывают печь и технологию, вынесены в начало generator.py. Так видно, что именно можно крутить, и в коде нет «магических» чисел.

"""Synthetic heat records for a 3 t electric arc furnace with basic lining.

The simulated route is: charge -> melting -> oxygen blowing -> slag adjustment
-> ferroalloy addition in the ladle -> tapping -> quality check against
GOST 977-88 (steel 35L, group 1 castings, 3 t).

At every stage the operator aims at a value derived from the previous
measurements and adds instrument or handling noise. Ferroalloy recovery in the
ladle degrades smoothly with overheating, excess oxygen and low slag
basicity, and carries an unexplained heat-to-heat residual.
"""

from __future__ import annotations

import argparse
from pathlib import Path

import numpy as np
import pandas as pd

CHARGE_KG = 3300.0
LIQUID_STEEL_KG = 3000.0

SCRAP_2A_RANGE = (1600.0, 2500.0)
SCRAP_6A_RANGE = (400.0, 1300.0)
PIG_IRON_RANGE = (200.0, 400.0)
OXYGEN_RANGE = (35.0, 75.0)
BASICITY_RANGE = (1.8, 2.9)
TAP_TEMP_RANGE = (1530.0, 1660.0)
FESI_RANGE = (15.0, 30.0)
FEMN_RANGE = (20.0, 40.0)

PIG_IRON_CARBON = 0.042
SCRAP_CARBON = 0.0015
CARBON_REMOVED_PER_M3 = 0.0025

FESI_SI_CONTENT = 0.75
FEMN_MN_CONTENT = 0.78
NOMINAL_SI_RECOVERY = 0.90
NOMINAL_MN_RECOVERY = 0.80
RESIDUAL_SI = 0.05
RESIDUAL_MN = 0.12

TARGET_CARBON = 0.36
TARGET_SI = 0.36
TARGET_MN = 0.68
TARGET_SUPERHEAT = 57.5
TARGET_SP = 0.024

SP_BASE = 0.010
SP_PER_6A_SHARE = 0.14
SP_BASICITY_SLOPE = 0.010

GOST_CARBON = (0.32, 0.40)
GOST_SILICON = (0.20, 0.52)
GOST_MANGANESE = (0.45, 0.90)
GOST_SP_MAX = 0.040
GOST_SUPERHEAT = (45.0, 70.0)

Несколько пояснений к числам:

CARBON_REMOVED_PER_M3 = 0.0025 — каждый кубометр кислорода снимает 0,0025% углерода из ванны. Это упрощение, но оно даёт линейную и понятную связь.
FESI_SI_CONTENT и FEMN_MN_CONTENT — доля кремния в ФС75 и марганца в ФМн78.
RESIDUAL_SI и RESIDUAL_MN — сколько кремния и марганца остаётся в ванне перед легированием.
TARGET_* — на что целится мастер. Марганец он целит в 0,68%, то есть в середину окна 0,45–0,90%. Именно из‑за этого запаса у модели вообще есть что экономить.
SP_* — коэффициенты для серы и фосфора. Они подобраны так, чтобы порог 0,040% реально мог нарушаться (в первой версии он не нарушался никогда).

Словарь колонок

Датасет самодокументируется: у каждой колонки в коде есть единицы и описание на двух языках. Из этого словаря потом строятся метаданные для Kaggle и вкладка с данными в приложении. Пропустите блок, если не нужны подробности, он не влияет на расчёт.

COLUMNS: dict[str, dict[str, str]] = {
    "melt_id": {
        "unit": "-",
        "en": "Heat identifier.",
        "ru": "Номер плавки.",
    },
    "scrap_2a_kg": {
        "unit": "kg",
        "en": "Bulk scrap, category 2A, in the charge.",
        "ru": "Кусковой лом категории 2А в шихте.",
    },
    "scrap_6a_kg": {
        "unit": "kg",
        "en": "Scrap category 6A in the charge; the contaminated, cheaper feedstock in the simulation.",
        "ru": "Лом категории 6А в шихте; в модели это более грязное и дешёвое сырьё.",
    },
    "pig_iron_kg": {
        "unit": "kg",
        "en": "Pig iron used as carburiser.",
        "ru": "Передельный чугун как науглероживатель.",
    },
    "carbon_pct": {
        "unit": "%",
        "en": "Carbon in the bath after oxygen blowing.",
        "ru": "Углерод в ванне после продувки кислородом.",
    },
    "oxygen_m3": {
        "unit": "m3",
        "en": "Oxygen blown during the boil.",
        "ru": "Объём кислорода, вдутого на этапе кипения.",
    },
    "slag_basicity": {
        "unit": "-",
        "en": "Slag basicity before tapping.",
        "ru": "Основность шлака перед выпуском.",
    },
    "sulfur_phosphorus_pct": {
        "unit": "%",
        "en": "Combined sulfur and phosphorus in the steel.",
        "ru": "Суммарное содержание серы и фосфора в стали.",
    },
    "fesi75_kg": {
        "unit": "kg",
        "en": "FeSi75 added to the ladle.",
        "ru": "Ферросилиций ФС75, добавленный в ковш.",
    },
    "femn78_kg": {
        "unit": "kg",
        "en": "FeMn78 added to the ladle.",
        "ru": "Ферромарганец ФМн78, добавленный в ковш.",
    },
    "tap_temp_c": {
        "unit": "C",
        "en": "Tapping temperature.",
        "ru": "Температура выпуска.",
    },
    "mn_recovery": {
        "unit": "fraction",
        "en": "Manganese recovery from FeMn78 (not observable before tapping).",
        "ru": "Усвоение марганца из ФМн78 (до выпуска наблюдать нельзя).",
    },
    "si_recovery": {
        "unit": "fraction",
        "en": "Silicon recovery from FeSi75 (not observable before tapping).",
        "ru": "Усвоение кремния из ФС75 (до выпуска наблюдать нельзя).",
    },
    "silicon_pct": {
        "unit": "%",
        "en": "Final silicon in the ladle.",
        "ru": "Итоговое содержание кремния в ковше.",
    },
    "manganese_pct": {
        "unit": "%",
        "en": "Final manganese in the ladle.",
        "ru": "Итоговое содержание марганца в ковше.",
    },
    "liquidus_c": {
        "unit": "C",
        "en": "Liquidus temperature from the final composition.",
        "ru": "Температура ликвидус по итоговому химическому составу.",
    },
    "superheat_c": {
        "unit": "C",
        "en": "Tapping temperature minus liquidus.",
        "ru": "Температура выпуска минус ликвидус.",
    },
    "gost_pass": {
        "unit": "0/1",
        "en": "1 if carbon, silicon, manganese, sulfur+phosphorus and superheat are all within limits.",
        "ru": "1, если углерод, кремний, марганец, сера+фосфор и перегрев одновременно в допуске.",
    },
}

Обратите внимание на mn_recovery и si_recovery: в описании прямо сказано, что до выпуска их наблюдать нельзя. Это важно для модели, и мы к этому вернёмся.

Вспомогательные функции

Четыре маленькие функции, на которых держится вся физика:

def _sigmoid_penalty(x, center: float, scale: float, max_penalty: float):
    return max_penalty / (1.0 + np.exp(-(x - center) / scale))


def _dose(target: float, residual: float, content: float, recovery: float) -> float:
    return (target - residual) / 100.0 * LIQUID_STEEL_KG / (content * recovery)


def _pickup(dose, content: float, recovery) -> float:
    return dose * content * recovery / LIQUID_STEEL_KG * 100.0


def _liquidus(carbon, silicon, manganese):
    return 1538.0 - 88.0 * carbon - 8.0 * silicon - 5.0 * manganese

sigmoidpenalty — плавная ступенька. Вместо резкого «выше 1640 °C усвоение падает на 15%» штраф нарастает постепенно вокруг порога. Почему это принципиально, расскажу в разделе про грабли.
_dose отвечает на вопрос «сколько килограммов сплава надо добавить, чтобы довести элемент от остатка до цели при заданном усвоении».
_pickup решает обратную задачу: сколько процентов элемента даст такая доза.
_liquidus — формула ликвидуса из раздела выше.

В виде формул первые две выглядят так:

$m = \frac{(w_{target} - w_{res}) / 100 \cdot 3000}{k \cdot r}$ $\Delta w = \frac{m \cdot k \cdot r}{3000} \cdot 100$

Здесь m — масса сплава в кг, w — содержание элемента в процентах, k — доля элемента в сплаве (0,75 для ФС75 и 0,78 для ФМн78), r — усвоение, 3000 — масса жидкой стали в кг.

Шихта

Это самое тонкое место первого этапа. Чугун здесь не случайная величина: мастер дозирует его так, чтобы после расплавления углерод оказался около 0,42–0,50%. Лом 2А и брикеты 6А на углерод почти не влияют (у обоих около 0,15%), поэтому их соотношение — экономический выбор, а не физика.

def _sample_charge(rng: np.random.Generator, n: int):
    scrap_2a: list[float] = []
    scrap_6a: list[float] = []
    pig_iron: list[float] = []
    carbon_per_kg_pig = PIG_IRON_CARBON - SCRAP_CARBON
    while len(scrap_2a) < n:
        batch = n * 3
        target_carbon = rng.uniform(0.42, 0.50, batch)
        pig_calc = (target_carbon / 100.0 - SCRAP_CARBON) * CHARGE_KG / carbon_per_kg_pig
        pig = np.clip(pig_calc + rng.normal(0, 4, batch), *PIG_IRON_RANGE)
        s6 = rng.uniform(*SCRAP_6A_RANGE, batch)
        s2 = CHARGE_KG - pig - s6
        keep = (s2 >= SCRAP_2A_RANGE[0]) & (s2 <= SCRAP_2A_RANGE[1])
        scrap_2a.extend(s2[keep])
        scrap_6a.extend(s6[keep])
        pig_iron.extend(pig[keep])
    return (
        np.array(scrap_2a[:n]),
        np.array(scrap_6a[:n]),
        np.array(pig_iron[:n]),
    )

Что здесь происходит:

Выбираем целевой углерод после расплавления из диапазона 0,42–0,50%.
Обратной формулой считаем, сколько чугуна для этого нужно, и добавляем шум весов ±4 кг. Формула следует из баланса углерода: масса чугуна, умноженная на разницу содержания углерода в чугуне и в ломе, плюс 3300 кг лома даёт целевое количество углерода.
Брикеты 6А выбираем случайно в их диапазоне 400–1300 кг, это выбор технолога по цене.
Лом 2А берём остатком до 3300 кг. Если он вылез за 1600–2500 кг, комбинацию отбрасываем и берём новую.

Завалка всегда сходится к 3300 кг, и каждый компонент остаётся в своих границах.

Функция simulate: шаг за шагом

Дальше идёт одна длинная функция. Я разрезаю её по этапам плавки; все куски стоят подряд внутри simulate с отступом в четыре пробела. В конце раздела есть команда, которая проверяет, что вы собрали всё правильно.

Шаг 1. Завалка и углерод после расплавления

def simulate(n: int = 2000, seed: int = 42) -> pd.DataFrame:
    """Generate ``n`` heats. The output is fully determined by ``seed``."""
    rng = np.random.default_rng(seed)

    scrap_2a, scrap_6a, pig_iron = _sample_charge(rng, n)
    carbon_melt = (
        (pig_iron * PIG_IRON_CARBON + (scrap_2a + scrap_6a) * SCRAP_CARBON)
        / CHARGE_KG
        * 100.0
    )
    contamination = rng.uniform(0.7, 1.4, n)

carbon_melt — углерод в ванне после расплавления, в процентах. contamination — скрытая загрязнённость конкретной партии брикетов 6А: 0,7 значит «чистая», 1,4 — «грязная». В датасет эта величина не попадёт, потому что в жизни мастер точно её не знает.

Шаг 2. Продувка кислородом

    oxygen_plan = (carbon_melt - TARGET_CARBON) / CARBON_REMOVED_PER_M3
    oxygen = np.clip(oxygen_plan + rng.normal(0, 2, n), *OXYGEN_RANGE)
    carbon = carbon_melt - oxygen * CARBON_REMOVED_PER_M3

Мастер видит пробу и считает, сколько кислорода нужно, чтобы дойти до 0,36%. Расходомер ошибается на ±2 м³. Последняя строка важна: итоговый углерод считается по фактически вдутому кислороду, а не по плановому. Только так шум расходомера реально попадает в химию.

Шаг 3. Шлак, сера и фосфор

    contamination_assay = contamination + rng.normal(0, 0.04, n)
    sp_load = scrap_6a / CHARGE_KG * SP_PER_6A_SHARE
    basicity_plan = (SP_BASE + sp_load * contamination_assay - TARGET_SP) / SP_BASICITY_SLOPE
    basicity = np.clip(basicity_plan + rng.normal(0, 0.08, n), *BASICITY_RANGE)
    sulfur_phosphorus = np.clip(
        SP_BASE + sp_load * contamination - basicity * SP_BASICITY_SLOPE, 0.006, None
    )

Сера и фосфор описываются линейной формулой: чем больше в шихте грязных брикетов, тем больше серы, а чем выше основность, тем больше она связывается шлаком:

$SP = 0.010 + 0.14 \cdot \frac{m_{6A}}{3300} \cdot c - 0.010 \cdot B$

Здесь m — масса брикетов 6А, c — загрязнённость партии, B — основность. Мастер решает это уравнение относительно B, чтобы получить SP = 0,024 (запас под порогом 0,040), но подставляет в него загрязнённость по анализу (contamination_assay), а не истинную. Анализ ошибается на ±0,04, а дозатор извести на ±0,08. Итоговая sulfur_phosphorus считается уже по истинной загрязнённости и фактической основности. Именно эта разница даёт редкий брак по сере, близкий к реальному.

Шаг 4. Дозы ферросплавов

    fesi_plan = _dose(TARGET_SI, RESIDUAL_SI, FESI_SI_CONTENT, NOMINAL_SI_RECOVERY)
    femn_plan = _dose(TARGET_MN, RESIDUAL_MN, FEMN_MN_CONTENT, NOMINAL_MN_RECOVERY)
    fesi = np.clip(fesi_plan + rng.normal(0, 1.2, n), *FESI_RANGE)
    femn = np.clip(femn_plan + rng.normal(0, 1.8, n), *FEMN_RANGE)

Мастер считает дозу при номинальном усвоении: 80% для марганца и 90% для кремния. Для целевого марганца 0,68% это около 26,9 кг ФМн78. Для кремния 0,36% плановая доза выходит около 13,8 кг, но нижняя граница по ТЗ — 15 кг, поэтому np.clip поднимает почти все дозы ФС75 до 15. Это плата за выбор диапазонов: у кремния в данных почти нет вариации, и я отдельно пишу об этом в ограничениях.

Шаг 5. Температура выпуска

    si_plan = RESIDUAL_SI + _pickup(fesi_plan, FESI_SI_CONTENT, NOMINAL_SI_RECOVERY)
    mn_plan = RESIDUAL_MN + _pickup(femn_plan, FEMN_MN_CONTENT, NOMINAL_MN_RECOVERY)
    liquidus_plan = _liquidus(TARGET_CARBON, si_plan, mn_plan)
    tap_temp = np.clip(
        liquidus_plan + TARGET_SUPERHEAT + rng.normal(0, 5, n), *TAP_TEMP_RANGE
    )

Мастер считает ликвидус по плановому химсоставу (тому, который получится при номинальном усвоении) и добавляет целевой перегрев 57,5 °C, середину окна 45–70. Реальное усвоение он ещё не знает, поэтому даже идеально попавшая температура может потом дать неверный перегрев: химсостав смещается и ликвидус уходит в сторону.

Шаг 6. Реальное усвоение ферросплавов

Здесь план встречается с фактом:

    oxygen_r = np.round(oxygen, 1)
    basicity_r = np.round(basicity, 2)
    tap_temp_r = np.round(tap_temp, 0)

    mn_loss = (
        _sigmoid_penalty(tap_temp_r, 1640, 8, 0.15)
        + _sigmoid_penalty(oxygen_r, 60, 5, 0.15)
        + _sigmoid_penalty(-basicity_r, -2.0, 0.1, 0.10)
    )
    si_loss = (
        _sigmoid_penalty(tap_temp_r, 1640, 8, 0.10)
        + _sigmoid_penalty(oxygen_r, 60, 5, 0.15)
        + _sigmoid_penalty(-basicity_r, -2.0, 0.1, 0.05)
    )
    furnace_noise = rng.normal(-0.01, 0.02, n)
    mn_recovery = np.clip(NOMINAL_MN_RECOVERY - mn_loss + furnace_noise, 0.20, NOMINAL_MN_RECOVERY)
    si_recovery = np.clip(NOMINAL_SI_RECOVERY - si_loss + furnace_noise * 0.7, 0.20, NOMINAL_SI_RECOVERY)

Три детали, которые стоит заметить.

Сначала округление, потом штрафы. Кислород, основность и температура округляются до того, как влияют на усвоение. Тогда в датасете лежат те же значения, по которым считалась физика, и никаких расхождений между «внутренним» и «видимым» миром нет.
Три сигмоиды. Каждый штраф «включается» плавно вокруг своего порога: 1640 °C по температуре, 60 м³ по кислороду и 2,0 по основности. Для основности штраф растёт, когда она падает, поэтому аргумент со знаком минус. При основности 1,8 это около 0,088 доли усвоения, при 2,5 — уже почти ноль.
Необъяснимый остаток. furnace_noise — случайная составляющая, которую нельзя предсказать по трём датчикам: положение дуги, износ футеровки, турбулентность струи при переливе. Смещение на −0,01 означает, что «повезло больше номинала» почти не бывает: 80% уже верхний предел, а усвоить меньше плана можно всегда. Без этого шума модель научилась бы только восстанавливать вашу формулу, объяснившись с погрешностью, близкой к нулю.

Шаг 7. Итоговый состав и вердикт ОТК

    silicon = RESIDUAL_SI + _pickup(fesi, FESI_SI_CONTENT, si_recovery)
    manganese = RESIDUAL_MN + _pickup(femn, FEMN_MN_CONTENT, mn_recovery)

    carbon_r = np.round(carbon, 3)
    silicon_r = np.round(silicon, 3)
    manganese_r = np.round(manganese, 3)
    liquidus = np.round(_liquidus(carbon_r, silicon_r, manganese_r), 1)
    superheat = np.round(tap_temp_r - liquidus, 1)

    df = pd.DataFrame(
        {
            "melt_id": np.arange(1, n + 1),
            "scrap_2a_kg": np.round(scrap_2a, 0),
            "scrap_6a_kg": np.round(scrap_6a, 0),
            "pig_iron_kg": np.round(pig_iron, 0),
            "carbon_pct": carbon_r,
            "oxygen_m3": oxygen_r,
            "slag_basicity": basicity_r,
            "sulfur_phosphorus_pct": np.round(sulfur_phosphorus, 3),
            "fesi75_kg": np.round(fesi, 1),
            "femn78_kg": np.round(femn, 1),
            "tap_temp_c": tap_temp_r,
            "mn_recovery": np.round(mn_recovery, 3),
            "si_recovery": np.round(si_recovery, 3),
            "silicon_pct": silicon_r,
            "manganese_pct": manganese_r,
            "liquidus_c": liquidus,
            "superheat_c": superheat,
        }
    )
    passed = (
        df["carbon_pct"].between(*GOST_CARBON)
        & df["silicon_pct"].between(*GOST_SILICON)
        & df["manganese_pct"].between(*GOST_MANGANESE)
        & (df["sulfur_phosphorus_pct"] <= GOST_SP_MAX)
        & df["superheat_c"].between(*GOST_SUPERHEAT)
    )
    df["gost_pass"] = passed.astype(int)
    return df[list(COLUMNS)]

Состав считается по фактической дозе и фактическому усвоению, а ликвидус — по фактическому составу. Так итоговый перегрев зависит от того, насколько план мастера расходится с реальностью. Колонки mn_recovery и si_recovery остаются в таблице, потому что из них строится цель модели, но в признаки обучения они не попадут.

Сводка и запуск из командной строки

def summarize(df: pd.DataFrame) -> str:
    lines = [f"heats: {len(df)}", f"gost_pass rate: {df['gost_pass'].mean():.1%}", "", "reject causes (share of heats outside the limit):"]
    checks = {
        "carbon": ~df["carbon_pct"].between(*GOST_CARBON),
        "silicon": ~df["silicon_pct"].between(*GOST_SILICON),
        "manganese": ~df["manganese_pct"].between(*GOST_MANGANESE),
        "sulfur+phosphorus": df["sulfur_phosphorus_pct"] > GOST_SP_MAX,
        "superheat": ~df["superheat_c"].between(*GOST_SUPERHEAT),
    }
    for name, mask in checks.items():
        lines.append(f"  {name:<18} {mask.mean():6.1%}")
    return "\n".join(lines)


def main() -> None:
    parser = argparse.ArgumentParser(description="Generate synthetic EAF heat records.")
    parser.add_argument("--n", type=int, default=2000, help="number of heats")
    parser.add_argument("--seed", type=int, default=42, help="random seed")
    parser.add_argument("--out", type=Path, default=Path("data/eaf_melts_2000.csv"))
    args = parser.parse_args()

    df = simulate(args.n, args.seed)
    args.out.parent.mkdir(parents=True, exist_ok=True)
    df.to_csv(args.out, index=False)
    print(f"saved {len(df)} rows to {args.out}\n")
    print(summarize(df))


if __name__ == "__main__":
    main()

Запуск:

python -m eafsim.generator --n 2000 --seed 42

Результат на моём прогоне:

saved 2000 rows to data/eaf_melts_2000.csv

heats: 2000
gost_pass rate: 89.4%

reject causes (share of heats outside the limit):
  carbon               0.0%
  silicon              0.0%
  manganese            0.0%
  sulfur+phosphorus    9.4%
  superheat            1.2%

С тем же ‑seed файл получается байт в байт: я проверил это, сравнив сгенерированный заново CSV с тем, что лежит в релизе.

Грабли: модель с ошибкой 0,02 кг, которая ничему не научилась

В одной из промежуточных версий я получил метрики, от которых хотелось радоваться: MAE на тесте 0,021 кг, RMSE 0,24 кг. Радоваться было рано.

В той версии усвоение марганца считалось ступеньками:

mn_loss = (np.where(df['temp_выпуска_C'] > 1640, 0.15, 0.0) +
           np.where(df['кислород_м3'] > 60, 0.15, 0.0) +
           np.where(df['основность_шлака'] < 2.0, 0.10, 0.0))
усвоение_Mn = np.clip(0.80 - mn_loss, 0.20, 0.80)

Три бинарных условия дают не больше восьми возможных значений усвоения. Цель модели считалась из усвоения, а входами модели были ровно те же три величины. Проверка занимает три строки:

df['femn78_min_kg'] = (0.45 - 0.12) * 30 / (0.78 * df['усвоение_Mn'])
print(df['femn78_min_kg'].round(4).nunique())
print(df['femn78_min_kg'].round(3).value_counts().head())

На 2000 плавок целевая переменная принимала четыре разных значения. CatBoost не учился закономерности, он выучил наизусть три условия if из моего же генератора. Такая модель выглядит идеально и бесполезна: стоит сместить порог, и она ничего не поймёт.

Как починил

Две правки в генераторе, обе уже есть в коде выше.

Ступеньки заменены сигмоидами. Штраф растёт плавно вокруг порога, поэтому цель принимает непрерывный набор значений. Физически это тоже честнее: усвоение не «обрушивается» ровно на 1640 °C, а ухудшается постепенно.
Добавлен необъяснимый остаток furnace_noise. В реальной печи на усвоение влияет то, чего нет в трёх датчиках, и модель не должна уметь воспроизводить его по признакам.

Проверка после правки:

df = pd.read_csv('data/eaf_melts_2000.csv')
print(df['mn_recovery'].nunique())

Теперь у цели 174 разных значения, а MAE на честном тесте около 0,35 кг. Ошибка не нулевая, и это правильно: часть изменчивости задана шумом, и никакая модель её не предскажет. Важность признаков тоже перестала быть вырожденной, хотя основность шлака по‑прежнему тянет на себя около 70%.

Эту проверку я вынес в тест, чтобы она не откатилась незаметно:

def test_recovery_has_many_distinct_values(heats):
    assert heats["mn_recovery"].nunique() > 50

Другие ошибки по пути

Подгонка шума под красивую цифру. Когда брака получилось слишком много, я начал менять амплитуды шума, чтобы получить «правдоподобные» 10–20% негодных. Это неправильный метод: процент брака должен получаться из процесса, а не быть целью настройки. Правильный порядок такой. Сначала понять, откуда берётся структурный брак, и только потом смотреть итоговую долю. В моём случае причина оказалась не в шуме, а в том, что чугун сыпался случайно, а не рассчитывался под нужный углерод. После этой правки брак по углероду упал с 20% до нуля.

Масштабирование шихты. Сначала я независимо выбирал вес каждого компонента, а затем масштабировал сумму до 3300 кг. После масштабирования границы из ТЗ нарушались: лом 2А доходил до 2608 кг при потолке 2500, чугун падал до 169 кг при нижней границе 200. Исправление: выбирать чугун и 6А, считать 2А остатком и отбрасывать комбинации, которые выходят за границы.

Мёртвый критерий. Критерий по сере и фосфору в первой версии никогда не срабатывал, потому что формула не могла дать значение выше порога. Простая проверка «а бывает ли вообще брак по этой причине» ловит такое сразу, и она есть в функции summarize.

Быстрый чек‑лист для любого синтетического датасета

Сколько уникальных значений у цели? Если единицы или десятки на тысячи строк, модель запомнит правило.
Есть ли в данных оба класса, и не слишком ли мало редкого?
Может ли каждый критерий годности реально нарушиться?
Укладываются ли все входные значения в диапазоны из описания?
Не создана ли цель из тех же величин, что и признаки, без шума?
Получается ли тот же файл при том же seed?

Что на самом деле лежит в данных

Этот раздел самый важный для честности. Ниже то, что я увидел, когда посмотрел на собственный датасет глазами, а не глазами метрики.

Колонка	Мин.	Среднее	Макс.
scrap_2a_kg	1721	2126,6	2500
scrap_6a_kg	531	920,7	1300
pig_iron_kg	211	252,8	293
carbon_pct	0,321	0,355	0,376
oxygen_m3	35,0	42,2	61,6
slag_basicity	1,80	2,42	2,90
tap_temp_c	1541	1557,7	1573
fesi75_kg	15,0	15,1	18,2
femn78_kg	21,3	26,9	32,9
mn_recovery	0,601	0,748	0,800
manganese_pct	0,475	0,643	0,796
superheat_c	39,6	57,1	73,2
femn78_min_kg	15,9	17,0	21,1
femn78_headroom_kg	1,6	9,8	16,6

Из таблицы следуют четыре вещи, и все печальные.

Температура выпуска не доходит до порога штрафа. Максимум 1573 °C при пороге 1640 °C. Штраф за перегрев в коде есть, но на этих данных он не срабатывает. Модель не могла выучить его влияние, потому что влияния в данных нет.
Кислород почти всегда у нижней границы. Среднее 42,2 м³ при полу 35 и пороге штрафа 60. Выше 60 ушло только несколько плавок (максимум 61,6).
ФС75 почти константа. Среднее 15,11 кг при нижней границе 15. У кремния по сути нет вариации, поэтому предсказывать его дозу нечего, и целевой переменной он не стал.
Основность шлака объясняет около 70% важности. Это не открытие о металлургии, а следствие того, что в моих правилах из трёх штрафов реально живёт один.

Отсюда выводы:

Модель, обученная на этих данных, восстанавливает правила генератора, а не поведение настоящей печи. Хорошая метрика на синтетике говорит о методике, а не о металлургии.
furnace_noise — случайная невязка, которую я добавил намеренно, чтобы остаток не был нулевым. Она по определению непредсказуема.
Ни один коэффициент не откалиброван по реальной печи. Все пороги (1640 °C, 60 м³, основность 2,0), все веса штрафов и все диапазоны шихты написаны мной по общему представлению о процессе.
Выбор порога 89,4% годных плавок не подгонялся. Он получился из правил после того, как я убрал ступенчатые функции, и совпал с тем, что называют нормальным уровнем брака для литейного цеха. Совпадение я не считаю доказательством.

Если использовать проект как основу, первое, что стоит сделать: заменить диапазоны и пороги в начале generator.py на свои, а потом проверить, что в сгенерированных данных штрафы начинают срабатывать, то есть повторить таблицу выше.

Итоги

Генератор умещается в один файл и воспроизводится одной командой с фиксированным seed. Главный урок: первая версия давала правдоподобные цифры и бесполезные данные. Поймать это помогли не метрики модели, а простые проверки самих данных: число уникальных значений, минимумы и максимумы, живы ли пороги.

Данные и код: GitHub, Kaggle.

Источник

Теги

ICO

Категория

Новости

Дата

9 нояб. 2026 г.

07.07.26 18:00 robertalfred175

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30.07.26 00:04 Ahmed

A really cool analysis, thank you. I was especially struck by how strictly the order is defined: data processing and formatting come first, with color only at the very end. This really saves you from the typical mistake of "first a pretty palette, then we figure out what the chart is for." And the palette validator with OKLCH + colorblindness check is absolutely fantastic; you almost never see that in regular tools. By the way, while reading about rank-trajectory and the logarithmic scale, I immediately remembered how convenient it is to analyze dynamics on charts in ExpertOption—I've been trading there for quite some time now. When the data is well visualized, decisions are noticeably easier and more relaxed. I also liked the point about "no more than eight colors" and the dual-axis ban. Strict restrictions sometimes actually produce better results than complete freedom. I'll try this approach myself.
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31.07.26 16:21 rssllhrnsb

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03.08.26 20:05 Philip

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04.08.26 11:05 Kisnoles

Excellent analysis, thank you. I was particularly struck by how rigidly the skill sets the order: data processing and form come first, with color coming last. This really cures the habit of "first a pretty palette, then we'll figure it out." A palette validator using OKLCH + color blindness + WCAG is something most chart generators lack. And regarding the boundaries of competence, it's very clear. Where there's a self-checking loop (color), you delegate freely. Where there's a heuristic (form, data interpretation), you remain the final filter. This is a universal principle, not just for /dataviz. By the way, when you look at trading dashboards (including those of decent platforms like ExpertOption), it's immediately clear who thought about readability and who just threw in rainbow lines. Tools like this skill could greatly improve the quality of analytics. Thanks again for the detailed analysis – saved.
04.08.26 12:37 kimberlyhebertt6877

I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] Call/Text Number: +1 (336) 390-6684
04.08.26 12:37 kimberlyhebertt6877

I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] Call/Text Number: +1 (336) 390-6684
06.08.26 08:11 ROMMYHENDERSON344

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06.08.26 13:56 lydiassmith567

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06.08.26 13:56 lydiassmith567

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11.08.26 03:43 raymont0714

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12.08.26 16:37 rssllhrnsb

I learned an important lesson after investing in what appeared to be a genuine opportunity. Unfortunately, I was unable to access my funds, which reinforced the importance of carrying out thorough due diligence, checking whether an investment is appropriately regulated, and seeking qualified professional advice rather than relying solely on online reviews or testimonials. During the process of addressing my case, I worked with Mrs. Tatiana Sorina , who communicated clearly, provided regular updates, and handled the matter in a professional manner. According to my experience, I have recovered $50,000 so far, while efforts to resolve the remaining balance are still in progress. If you wish to contact her, the details I used are: Mrs. Tatiana Sorina TEXT : (tatianasorina06 at G_Ma IL dot ..c 0 m)…. Before committing money to any investment, take time to verify the legitimacy of the platform, confirm any relevant regulatory authorisations, and avoid investing more than you can comfortably afford to lose.
16.08.26 01:44 Matt Kegan

CapitalNode Analytics. They help to investigate and recover stolen digital assets from fake trading platforms. Great firm i must say.
18.08.26 04:59 marcushenderson624

Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone WhatsApp/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
18.08.26 04:59 marcushenderson624

Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone WhatsApp/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
19.08.26 14:50 BAYER7043

My account was locked, and I couldn’t access my own information until [email protected] +447476618364 whats?up? helped me recover it. This lady hacker was kind and professional, but this experience showed me how risky account lockouts can be. If you’re facing the same problem, do not panic consult her A. S. A. P. Be careful with recovery agents outchea, and research their name, business, and reviews before sharing any details. Never send passwords, security codes, banking information, or copies of your ID unless you’ve confirmed who you’re dealing with. Be wary of promises that sound too good to be true, especially claims that require little information or guarantee instant access with outrageous fees.
20.08.26 11:32 michaeldavenport218

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20.08.26 11:32 michaeldavenport218

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23.08.26 20:02 leslieyee

Excellent analysis by /dataviz! I was particularly struck by how strictly the order is defined: "data meaning first, color last" and how the validator actually adjusts the palette according to OKLCH, color blindness, and WCAG standards. These rules greatly improve the quality of charts. By the way, a similar approach to clean and legible charts is highly valued in trading—for example, on the ExpertOption platform, the interface and price visualization are designed to ensure information is read instantly and without unnecessary noise.
25.08.26 13:44 lydiassmith567

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25.08.26 13:44 lydiassmith567

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30.08.26 15:37 [email protected]

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30.08.26 15:37 [email protected]

Discovering I had been defrauded, I searched online for services claiming to recover stolen ETH. I contacted several companies, but none succeeded. Although some claimed they could trace assets or recover funds, I could not verify their success or recover my money. I later found SYLVESTER BRYANT Recovery through Google. After contacting him, he recovered 450,000,00. He can be reached at [email protected] or WhatsApp at +1 512 577 7957.
01.09.26 11:16 lisawerth897

My Experience With Cryptocurrency — CAPITAL CRYPTO RECOVER I lost over $82,000 in Bitcoin after falling victim to a fraudulent online investment scheme. After realizing I had been scammed, I spent considerable time researching possible ways to recover my funds. During my research, I came across CAPITAL CRYPTO RECOVER and decided to contact them after reading their reported success record and encouraging client positive reviews and testimonials. Their team guided me through the recovery process, and I was grateful to successfully recover my lost cryptocurrency. The experience was challenging, but I appreciated the assistance and support I received throughout the process. I’m sharing my experience in the hope that it may encourage other victims to carefully research their options and verify any recovery service before proceeding. I will forever be thankful to you CAPITAL CRYPTO RECOVER 📧 [email protected] 🌐 Website: recovercapital.wixsite.com/capital-crypto-rec-1 📧 [email protected] 📞 Call/WhatsApp: +1 (336) 390-6684
01.09.26 11:16 lisawerth897

My Experience With Cryptocurrency — CAPITAL CRYPTO RECOVER I lost over $82,000 in Bitcoin after falling victim to a fraudulent online investment scheme. After realizing I had been scammed, I spent considerable time researching possible ways to recover my funds. During my research, I came across CAPITAL CRYPTO RECOVER and decided to contact them after reading their reported success record and encouraging client positive reviews and testimonials. Their team guided me through the recovery process, and I was grateful to successfully recover my lost cryptocurrency. The experience was challenging, but I appreciated the assistance and support I received throughout the process. I’m sharing my experience in the hope that it may encourage other victims to carefully research their options and verify any recovery service before proceeding. I will forever be thankful to you CAPITAL CRYPTO RECOVER 📧 [email protected] 🌐 Website: recovercapital.wixsite.com/capital-crypto-rec-1 📧 [email protected] 📞 Call/WhatsApp: +1 (336) 390-6684
01.09.26 17:34 Garry42

Really crazy world. These fraudsters go at any length to steal your hard earned funds. I have been a victim of a bitcoin scam about 7 months back. A Con artist gained access to my cashapp account through a phishing scam. They stole $409,000. I was really devastated. I did everything to get back my funds by contacting the FBI but they claimed there was nothing they could do. A friend told me about a recovery expert. He helps fight against various phishing and investment scams and they were able to help trace and recover my funds even though it took over 2 days. you can reach out to him through recoverydarek@gmail. com . I can guarantee his services are still active.
01.09.26 17:34 Garry42

Really crazy world. These fraudsters go at any length to steal your hard earned funds. I have been a victim of a bitcoin scam about 7 months back. A Con artist gained access to my cashapp account through a phishing scam. They stole $409,000. I was really devastated. I did everything to get back my funds by contacting the FBI but they claimed there was nothing they could do. A friend told me about a recovery expert. He helps fight against various phishing and investment scams and they were able to help trace and recover my funds even though it took over 2 days. you can reach out to him through recoverydarek@gmail. com . I can guarantee his services are still active.
02.09.26 03:43 kimberlyhebertt6877

I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684
02.09.26 03:43 kimberlyhebertt6877

I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684
04.09.26 21:51 Kovengray

Recovering your lost investment funds as the case might be, is not what you can do alone, you’d require the service of a trained recovery specialist. A recovery specialist is a person or a group of people who are well equipped to work around the brokerage network. They have vast knowledge about the whole network and have the right software and private keys to follow any transaction. I was ripped off trading online to an investment broker, good thing I got every penny back through the help of Gavin ray he’s a genius Contact : Gavinray78 at gmail com or WhatsApp +1 352 322 2096 It is also important to be patient and really calm during the process.
05.09.26 21:38 [email protected]

I invested 45,000 Euro, and later aggreviated to 198,000 Euro. I requested to place ‎Withdrawal of my funds to be paid to my Bank account. But nothing happened I was subjected to pay more fee until I can get my funds on my account, i got in touch with Theodore ryan here on this platform who had helped a lot of people, I followed all instructions and he legally got back my withheld funds, I got threatened by the company that if I don’t pay they will get my account frozen, all thanks to Theodore ryan and I highly recommend him to anyone dealing with an unregulated broker company… contact him on his Gmail - theodoreryan318@ gmail . com
09.09.26 21:31 lisawerth897

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09.09.26 21:31 lisawerth897

My Experience With Cryptocurrency — CAPITAL CRYPTO RECOVER I lost over $82,000 in Bitcoin after falling victim to a fraudulent online investment scheme. After realizing I had been scammed, I spent considerable time researching possible ways to recover my funds. During my research, I came across CAPITAL CRYPTO RECOVER and decided to contact them after reading their reported success record and encouraging client positive reviews and testimonials. Their team guided me through the recovery process, and I was grateful to successfully recover my lost cryptocurrency. The experience was challenging, but I appreciated the assistance and support I received throughout the process. I’m sharing my experience in the hope that it may encourage other victims to carefully research their options and verify any recovery service before proceeding. I will forever be thankful to you CAPITAL CRYPTO RECOVER 📧 [email protected] 🌐 Website: recovercapital.wixsite.com/capital-crypto-rec-1 📧 [email protected] 📞 Call/WhatsApp: +1 (336) 390-6684
09.09.26 23:22 Fraddy Pual

Hearing that these individuals are focusing on other people makes me very sad. I had a similar situation with them and lost a lot of money, but after learning about (Cruxcipherteam @ proton DoT me), whataqq:+168160-15021, telegram: @Cruxcipherteam I was able to get my money back. It's critical that we all be watchful and keep reporting these occurrences.
11.09.26 03:23 kimberlyhebertt6877

I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684
11.09.26 03:23 kimberlyhebertt6877

I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684
15.09.26 03:35 elioduncan

I fell victim to a freelance web development contract scam that ultimately cost me CAD 4,000. It all started when I came across a job posting on Indeed Canada, a popular online job portal. The position seemed perfect: a freelance web developer role for an established company looking for someone to design and build a fully functional e-commerce website. The job promised a high payment of CAD 20,000 upon successful completion, which sounded like a great opportunity for me to gain experience and earn decent pay.The employer, who introduced himself as a project manager from a "well-known" tech company, was very persuasive and professional in our initial communication. He explained that the project involved developing a user-friendly, responsive online store for their client and that they had a strict timeline to meet. He assured me that the payment would be made promptly after completing the tasks. However, before starting the work, he told me that I would need to pay an upfront fee of CAD 4,000 to cover certain software tools and licensing fees required for the project. This was supposedly a part of their company policy for freelance contractors, ensuring access to their premium resources. The idea of working on a professional project, coupled with the promise of a substantial payout, convinced me to pay the upfront fee.As soon as I made the payment, the project manager became increasingly difficult to reach. He initially responded to my emails and provided some vague instructions on what the project would entail, but as time went on, communication slowed to a complete halt. I never received the required tools or any proper project details. My emails went unanswered, and any attempts to contact the company were met with silence. After waiting for weeks, I realized that I had been scammed.Desperate to recover my money, I turned to TechY Force Cyber Retrieval, a service that specializes in helping victims of online scams. They helped me track the payment and took legal steps to pursue the fraudsters. Through their guidance, I was able to recover the full CAD 4,000. TechY Force Cyber Retrieval worked with my bank to reverse the transaction and liaised with the authorities to trace the scammer's details.This was a hard lesson, and I now know to be highly cautious about online job offers that require upfront payments. It is crucial to research companies thoroughly and avoid any job that seems too good to be true, especially when it involves paying money upfront. WhatsApp https://wa.link/2x6ktp Mail. [email protected]
15.09.26 15:45 lydiassmith567

HIRE A HACKER YOUR STOLEN CRYPTO RECOVERY / BTC / USDT / ETH WITH THE HELP OF CAPITAL CRYPTO RECOVER. I want to share my experience publicly regarding cryptocurrency wallet recovery, I highly recommend you to contact CAPITAL CRYPTO RECOVER, a professional private investigator in the Bitcoin world. They have a certified expert security team specializing in Bitcoin Recovery Services and have helped many people worldwide recover their lost funds. My wife and I were defrauded by an online manipulator posing as an experienced crypto investment professional. We lost $9.2 Million Stolen BTC in cryptocurrency and were left feeling homeless. After spending hours searching for a reliable crypto recovery service, I discovered CAPITAL CRYPTO RECOVER online. By patiently explaining my situation to their team, I was able to recover all my funds. Remarkably, my money was returned to my wallet in less than 24 hours. I am extremely grateful to CAPITAL CRYPTO RECOVER for their excellent assistance—they truly were a godsend in my difficult situation. If you have fallen victim to a cryptocurrency scam, you can reach CAPITAL CRYPTO RECOVER through the following channels Email: [email protected] OR Call/WhatsApp: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
15.09.26 15:45 lydiassmith567

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05.10.26 21:26 [email protected]

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06.10.26 06:13 melissathomason573

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06.10.26 17:44 Darrell1717

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11.10.26 03:04 Patricia014

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13.10.26 14:14 lisalisa22

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17.10.26 12:58 melissathomason573

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17.10.26 12:58 melissathomason573

Professional Crypto Recovery Testimonial After losing a significant amount of cryptocurrency through a scam on Twitter, I was unsure whether my Bitcoin funds could ever be recovered. The experience was extremely stressful, particularly because I encountered several individuals and services claiming they could help recover my assets, only to discover that some were fraudulent themselves. A friend eventually referred me to CAPITAL CRYPTO RECOVER. Their team handled my case professionally, discreetly, and efficiently. With their assistance, I successfully recovered approximately $130,000 worth of USDT in just over a week. My experience taught me the importance of being extremely cautious when seeking cryptocurrency recovery services, as scammers often target victims a second time. I am grateful to CAPITAL CRYPTO RECOVER for the assistance I received and wanted to share my experience with others who may be facing a similar situation. If you’ve been compromised, don’t lose hope—and be careful of fraudsters posing as saviors. CAPITAL CRYPTO RECOVER are real professionals in crypto recovery. I am a living proof of their effectiveness, you can reach them through Phone (Call/WhatsApp): +1 (336) 390-6684 Email: [email protected] Alternate Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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25.10.26 14:35 lydiasmitth456

HIRE A HACKER YOUR STOLEN CRYPTO RECOVERY / BTC / USDT / ETH WITH THE HELP OF CAPITAL CRYPTO RECOVER. I want to share my experience publicly regarding cryptocurrency wallet recovery, I highly recommend you to contact CAPITAL CRYPTO RECOVER, a professional private investigator in the Bitcoin world. They have a certified expert security team specializing in Bitcoin Recovery Services and have helped many people worldwide recover their lost funds. My wife and I were defrauded by an online manipulator posing as an experienced crypto investment professional. We lost $9.2 Million Stolen BTC in cryptocurrency and were left feeling homeless. After spending hours searching for a reliable crypto recovery service, I discovered CAPITAL CRYPTO RECOVER online. By patiently explaining my situation to their team, I was able to recover all my funds. Remarkably, my money was returned to my wallet in less than 24 hours. I am extremely grateful to CAPITAL CRYPTO RECOVER for their excellent assistance—they truly were a godsend in my difficult situation. If you have fallen victim to a cryptocurrency scam, you can reach CAPITAL CRYPTO RECOVER through the following channels Email: [email protected] OR Call/WhatsApp: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
25.10.26 14:35 lydiasmitth456

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27.10.26 01:58 KATHLEEN

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27.10.26 02:22 kimberlyhebertt6877

I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684
27.10.26 02:22 kimberlyhebertt6877

I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684
27.10.26 02:25 KATHLEEN

Cyberspacetechexpert focuses on recovering stolen cryptocurrency, particularly USDT and bitcoin. She is well-known for helping victims of digital asset theft. Her reputation arises from successful recoveries that have allowed many to regain their lost funds. I witnessed this when $74,000 was taken from me in January. Thanks to the best female hacker Gracias, I recovered the entire amount in just 14 hours. Her prompt response and effective methods relieved my financial burden. Her commitment to helping others is evident. She is always available to offer solutions to those facing similar problems. For assistance, she can be reached via email Cyberspacetechexpert@gmail .com. or speak to her on What App at + 44 7476618364.
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30.10.26 06:11 melissathomason573

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02.11.26 02:57 navare34

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02.11.26 21:26 lisawerth897

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05.11.26 18:21 Brian147

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06.11.26 13:22 kimberlyhebertt6877

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08.11.26 13:35 derek1987

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