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Оптимизация языковой модели Mamba для выполнения на CPU

Большие языковые модели с успехом применяются в биоинформатике. Неудивительно, ведь язык биологических последовательностей – всего лишь часть множества знаковых систем, существующих в природе. Но есть нюанс: осмысленные фразы языка биоинформатики, как правило, гораздо длиннее фраз языков межчеловеческого общения. Популярные языковые модели на основе трансформеров требуют квадратичного увеличения объема вычислений с ростом длины входной последовательности.

Мое внимание привлекла модель Mamba, демонстрирующая всего лишь линейный рост сложности с увеличением длины ввода, и из-за этой особенности прекрасно подходящая для задач биоинформатики. За деталями отправляю вас к оригинальной статье на Arxiv и двум публикациям на Хабре, здесь и здесь.

Официальная версия Мамбы оптимизирована под GPU с использованием технологии CUDA. К сожалению, все графические ускорители в облаке Microsoft Azure уходят коммерческим пользователям. А исследователям Microsoft Research оборудование достается по остаточному принципу. Я решил оставить ценный ресурс своим коллегам и запустить свою модель на CPU, предварительно оптимизировав ее под векторные вычисления.

Чтобы не заниматься отколупыванием CUDA кода от модели, авторы оригинальной статьи посоветовали мне начать с чисто Питонового кода из вот этого репозитория.

Прежде чем заняться оптимизацией, соберем профиль выполнения модели. Ограничим наш анализ первыми пятью строками отчета; остальное, по сути, шум, мало сказывающийся на производительности.

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Строка 2 — линейная проекция в начале и в конце Mamba блока, по сути, матричное умножение. Строка 6 — одномерная свертка. Мы оставим их в покое и используем в качестве эталона времени. А строки с 3 по 5 — это ядро алгоритма Mamba, в сумме эти строки отнимают более половины времени выполнения кода. Сосредоточимся на оптимизации именно этих строк, составляющих метод selective_scan.

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Все самое интересное происходит в вызове функции einsum, то есть, обобщенного тензорного перемножения в нотации Эйнштейна. Разумеется, функции библиотеки einops, как и весь PyTorch, написаны на C и уже оптимизированы талантливыми программистами. Это весьма распространенная ситуация, когда я не начинаю работу по оптимизации с чистого листа, а имею для сравнения результат работы опытного разработчика, использующего оптимизирующий компилятор. Посмотрим, удастся ли нам превзойти их результат.

Начнем нашу работу по оптимизации, как ни странно, с ухудшения производительности нашего кода. Вспомнив курс теоретической физики, распишем эйнштейновское перемножение тензоров из строки 5 в виде вложенных циклов на чистом Питоне.

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Поступим аналогично со строкой 7.

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Строки с 9 по 17 также могут быть расписаны в виде вложенных циклов.

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Полученный код выполняется чудовищно медленно, ведь мы отказались от оптимизированных библиотек в пользу чистого Питона. Зато теперь лучше видна структура кода, позволяющая инвариантные преобразования.

Во-первых, заметим, что все три вышеприведенных четверных цикла имеют одни и те же верхние границы и могут быть слиты в один. При этом оказывается, что промежуточные тензоры deltaA и deltaB_u не нужно сохранять в памяти, а можно использовать вычисленные значения немедленно.

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Во-вторых, изменим порядок циклов с h, i, j, k на h, j, k, i. Это допустимое инвариантное преобразование программы.

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Получилась очень интересная конструкция. Во внутреннем цикле вычисляются элементы xk, каждый из которых зависит от предыдущего, и последовательно прибавляются с некоторым весом к накопительной сумме; по-английски это операция называется scan. Именно эту операцию накопительной суммы с весом авторы метода и назвали selective scan. Несмотря на взаимозависимость членов накопительной суммы, ее возможно, пусть и с некоторыми ухищрениями, вычислять параллельно, и векторизация накопительной суммы – мой конек. Тем более, что учебник предписывает оптимизировать, в нашем случае векторизовать, самый внутренний цикл.

Но мы опять поступим неправильно и оставим внутренний цикл в покое.

Второй изнутри цикл мы тоже не станем векторизовывать. Поскольку этот цикл короткий, параметр модели channel_count всего 16, то этот цикл мы размотаем в последовательный код, подбросив процессору возможностей для внеочередного выполнения операций.

А вот третий изнутри цикл обладает чрезвычайной параллельностью, то есть вычисления на каждой итерации цикла не зависят от прочих итераций. Идеально подходит для векторизации.

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Несколько замечаний. Во-первых, здесь нам понадобилась функция векторного вычисления экспоненты, подробно разобранная в отдельной публикации. Тема интересная, но слабо пересекающаяся с оптимизацией языковой модели.

Во-вторых, тензор А во входных данных транспонирован по сравнению с исходной функцией. Мне было удобнее транспонировать данные в TensorFlow, чем усложнять векторный код.

И, наконец, в строке 33 я вспомнил, что, кроме оптимизации под одно ядро, можно использовать возможности многоядерной системы. Поскольку мы выбрали для оптимизации чрезвычайно параллельный цикл, разложить его по ядрам не составило труда. В этом мое кредо: прежде чем задействовать многие ядра и многочисленные ресурсы в облаке, следует качественно оптимизировать программу для выполнения на одном ядре.

Измерим производительность оптимизированной версии.

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Строка 4 нового отчета заменила собой строки 3-5 оригинала. Время выполнения функции уменьшилось почти в 20 раз. Неплохой результат.

Следующий логичный шаг — попытка ускорить перемножение матриц в операторе линейной проекции. Но это уже совсем другая история.

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    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 13.10.25 01:11 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 14.10.25 01:15 tyleradams

    Hi. Please be wise, do not make the same mistake I had made in the past, I was a victim of bitcoin scam, I saw a glamorous review showering praises and marketing an investment firm, I reached out to them on what their contracts are, and I invested $28,000, which I was promised to get my first 15% profit in weeks, when it’s time to get my profits, I got to know the company was bogus, they kept asking me to invest more and I ran out of patience then requested to have my money back, they refused to answer nor refund my funds, not until a friend of mine introduced me to the NVIDIA TECH HACKERS, so I reached out and after tabling my complaints, they were swift to action and within 36 hours I got back my funds with the due profit. I couldn’t contain the joy in me. I urge you guys to reach out to NVIDIA TECH HACKERS on their email: [email protected]

  • 14.10.25 08:46 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 14.10.25 08:46 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 14.10.25 08:46 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.10.25 18:07 crypto

    Cryptocurrency's digital realm presents many opportunities, but it also conceals complex frauds. It is quite painful to lose your cryptocurrency to scam. You can feel harassed and lost as a result. If you have been the victim of a cryptocurrency scam, this guide explains what to do ASAP. Following these procedures will help you avoid further issues or get your money back. Communication with Marie ([email protected] and WhatsApp: +1 7127594675) can make all the difference.

  • 15.10.25 21:52 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.10.25 21:52 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

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