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Исследователи Epoch AI представили набор сложных математических задач для нейросетей
2026-02-21 01:17 Diff
https://skillbox.ru/media/code/issledovateli-epoch-ai-predstavili-nabor-slozhnyh-matematicheskih-zadach-dlya-neyrosetey/
Онлайн-журнал для тех, кто влюблён в код и информационные технологии. Пишем для айтишников и об айтишниках.
Исследовательская группа компании Epoch AI представила набор математических задач FrontierMath. В его состав входят задачи, которые нейросети не могут решить и на которые ведущие профессора по математике тратят несколько часов или дней. Набор FrontierMath планируют использовать для оценки способностей ИИ-моделей и отслеживания динамики их развития.
Инфографика: Epoch AI
Над подготовкой задач работали ведущие профессора математики, авторы Международной математической олимпиады и медалисты Филдсовской премии. В работе над FrontierMath участвовали более 60 человек. Задачи из этого набора включают в себя такие разделы предмета, как алгебраическая геометрия и вычислительная теория чисел.
«[Эти задачи] чрезвычайно сложны. Я думаю, что в ближайшей перспективе единственный способ решить их, не имея настоящего эксперта в данной области, — это сочетание полуэксперта, например аспиранта в смежной области, в паре с современным ИИ и множеством паков по алгебре».
Теренс Тао, математик, обладатель Филдсовской премии 2006 года
Согласно исследованию Epoch AI, многие популярные ИИ-модели не способны решить задачи из набора, разработанного компанией. Например, Claude 3.5 Sonnet и Gemini 1.5 Pro смогли правильно решить только 2% задач, а нейросети o1 и GPT-4o — всего лишь 1%. Что касается других математических тестов, таких как GSM-8K и MATH, те же нейросети справляются с 90% их задач.
Инфографика: Epoch AI
Команда исследователей Epoch AI наметила дальнейшие шаги по работе над пакетом задач FrontierMath. Среди них:
Регулярная оценка — анализ ведущих ИИ-моделей и публикация результатов для обеспечения стандартизированного измерения прогресса.
Расширение бенчмарка — добавление новых задач при сохранении строгих стандартов и текущего распределения типов задач, уровней сложности и математических областей.
Публичный выпуск задач — команда планирует выпустить дополнительные задачи в ближайшие месяцы для привлечения сообщества и облегчения сравнительного анализа.
Усиление контроля качества за счёт расширения экспертной оценки, увеличения вознаграждения за обнаруженные ошибки и улучшения процессов рецензирования.
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                <div class="header-banner topBanner" data-type="header" style="display: block; position: sticky; top: 0; z-index: 999;">
        <a data-source="221292" data-banner="226288" class="universal-notice js-universal-notice-notice universal-notice--webp universal-notice--bitrix universal-notice--active" href="https://skillbox.ru/sale/main/?utm_source=media&utm_medium=banners&utm_campaign=all_all_media_banners_banners_header_all_all_skillbox" target="_blank" style="--banner-bg: #5927E9;--banner-color: #fff;--button-font-color: #000000;--button-bg-color: #FFFFFF;--banner-img-left: url(https://cdn.skillbox.pro/mainsite/banners/promo_picture_left/602754/f9ac17dd-a1d4-46c6-aa14-4f7b949defd1.png);--banner-img-left-webp: url(https://cdn.skillbox.pro/mainsite/banners/promo_picture_left/602754/f9ac17dd-a1d4-46c6-aa14-4f7b949defd1.webp);--banner-img-center: url(https://cdn.skillbox.pro/mainsite/banners/promo_picture_center/602507/232fc4a5-b130-4af2-a629-bdb293a4dd2e.png);--banner-img-center-webp: url(https://cdn.skillbox.pro/mainsite/banners/promo_picture_center/602507/232fc4a5-b130-4af2-a629-bdb293a4dd2e.webp);--banner-img-center-mobile: url(https://cdn.skillbox.pro/mainsite/banners/promo_picture_center/602507/232fc4a5-b130-4af2-a629-bdb293a4dd2e.png);--banner-img-center-mobile-webp: url(https://cdn.skillbox.pro/mainsite/banners/promo_picture_center/602507/232fc4a5-b130-4af2-a629-bdb293a4dd2e.webp);--banner-img-right: url(https://cdn.skillbox.pro/mainsite/banners/promo_picture_right/602755/ad7a7fe5-b8d3-47a3-885b-51a7971c12a9.png);--banner-img-right-webp: url(https://cdn.skillbox.pro/mainsite/banners/promo_picture_right/602755/ad7a7fe5-b8d3-47a3-885b-51a7971c12a9.webp);">
      <span class="universal-notice__wrapper">
        <b class="universal-notice__title">
          Скидка до&nbsp;55% и&nbsp;3&nbsp;курса в&nbsp;подарок
        </b>

        <span class="universal-timer js-universal-notice-timer js-universal-notice-active">
              <span class="universal-timer__days js-universal-notice-days">2 дня</span>
              <span class="js-universal-notice-hours">13</span>
              :<span class="js-universal-notice-minutes">30</span>
              :<span class="js-universal-notice-seconds">09</span>
            </span>

        <span class="universal-notice__button">Выбрать курс</span>
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            var seconds = Math.floor((diff % (1000 * 60)) / 1000).toString();

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                                    <div class="stk-post stk-layout_12col_18068 stk-theme_26309" data-stk="{&quot;images&quot;:[{&quot;id&quot;:99928,&quot;alt&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;},{&quot;id&quot;:99927,&quot;alt&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;}]}" data-ui-id="post" data-ce-tag="post" data-reset-type="class" data-layout-type="auto" data-editor-version="3.2.8-rc1"><div class="stk-grid" data-ce-tag="grid"><div data-col-width="12" class="stk-grid-col stk-grid-col_last" data-ce-tag="grid-col"><p class="stk-reset" data-ce-tag="paragraph">Исследовательская группа компании Epoch AI&nbsp;<a href="https://epoch.ai/frontiermath/the-benchmark" target="_blank" class="stk-reset" data-gtm-vis-has-fired10171822_255="1">представила</a> набор математических задач FrontierMath. В его состав входят задачи, которые нейросети не&nbsp;могут решить и на которые ведущие профессора по&nbsp;математике тратят несколько часов или дней. Набор FrontierMath планируют использовать для оценки способностей ИИ-моделей и&nbsp;отслеживания динамики их&nbsp;развития.</p><figure class="stk-reset stk-image-figure" data-ce-tag="image-figure"><div class="stk-mask" data-ce-tag="mask"><img src="/upload/setka_images/15010814112024_278cadb5c5a600fd354bbb4a32acf34407bf98f0.png" data-image-id="99928" data-image-name="2.png" width="1540" height="1082" loading="lazy" class="stk-image stk-reset"/></div><figcaption style="display:block" class="stk-reset stk-description" data-ce-tag="description"><em class="stk-reset">Инфографика: <a href="https://epoch.ai/frontiermath/the-benchmark" target="_blank" class="stk-reset">Epoch AI</a></em></figcaption></figure><p class="stk-reset" data-ce-tag="paragraph">Над подготовкой задач работали ведущие профессора математики, авторы Международной математической олимпиады и&nbsp;медалисты Филдсовской премии. В&nbsp;работе над FrontierMath участвовали более 60&nbsp;человек. Задачи из&nbsp;этого набора включают в&nbsp;себя такие разделы предмета, как алгебраическая геометрия и&nbsp;вычислительная теория чисел.</p><div class="stk-grid" data-ce-tag="grid" data-stk-css="stkUyKRg"><div data-col-width="1" class="stk-grid-col" data-ce-tag="grid-col" data-stk-css="" data-stk-css-m=""><p class="stk-element_no-text stk-reset" data-ce-tag="paragraph"><img alt="" class="stk-reset stk-theme_26309__symbol_custom_image_2666427 stk-icon" src="https://ceditor.setka.io/clients/Y5wcTIuOndOzJ1OsacHi3bS9nZFnZeBC/css/assets/26658/img/__hm6D-A.svg"></p></div><div data-col-width="11" class="stk-grid-col stk-grid-col_last" data-ce-tag="grid-col"><p class="stk-reset" data-ce-tag="paragraph">«[Эти задачи] чрезвычайно сложны. Я&nbsp;думаю, что в&nbsp;ближайшей перспективе единственный способ решить их, не&nbsp;имея настоящего эксперта в&nbsp;данной области,&nbsp;— это сочетание полуэксперта, например аспиранта в&nbsp;смежной области, в&nbsp;паре с&nbsp;современным ИИ&nbsp;и&nbsp;множеством паков по&nbsp;алгебре».</p><p class="stk-theme_26309__style_small_text stk-reset" data-ce-tag="paragraph"><strong class="stk-reset" data-gtm-vis-has-fired10171822_255="1">Теренс Тао</strong>, математик, обладатель Филдсовской премии 2006&nbsp;года</p></div></div><p class="stk-reset" data-ce-tag="paragraph">Согласно исследованию Epoch AI, многие популярные ИИ-модели не&nbsp;способны решить задачи из&nbsp;набора, разработанного компанией. Например, Claude 3.5 Sonnet и&nbsp;Gemini 1.5 Pro смогли правильно решить только 2% задач, а&nbsp;нейросети o1 и&nbsp;GPT-4o&nbsp;— всего лишь&nbsp;1%. Что касается других математических тестов, таких как GSM-8K и&nbsp;MATH, те&nbsp;же нейросети справляются с&nbsp;90% их&nbsp;задач.</p><figure class="stk-reset stk-image-figure" data-ce-tag="image-figure"><div class="stk-mask" data-ce-tag="mask"><img src="/upload/setka_images/15005914112024_5c20dcbcfbab07ab6c2df7e27444d5ac2afca569.png" data-image-id="99927" data-image-name="1.png" width="1540" height="1081" loading="lazy" class="stk-image stk-reset"/></div><figcaption style="display:block" class="stk-reset stk-description" data-ce-tag="description"><em class="stk-reset">Инфографика: <a href="https://epoch.ai/frontiermath/the-benchmark" target="_blank" class="stk-reset">Epoch AI</a></em></figcaption></figure><p class="stk-theme_26309__mb_05 stk-reset" data-ce-tag="paragraph">Команда исследователей Epoch AI&nbsp;наметила дальнейшие шаги по&nbsp;работе над пакетом задач FrontierMath. Среди них:</p><ul class="stk-theme_26309__pad_hor_1 stk-reset" data-ce-tag="list"><li class="stk-reset stk-list-item" data-ce-tag="list-item">Регулярная оценка — анализ ведущих ИИ-моделей и публикация результатов для обеспечения стандартизированного измерения прогресса.</li><li class="stk-reset stk-list-item" data-ce-tag="list-item">Расширение бенчмарка&nbsp;— добавление новых задач при сохранении строгих стандартов и&nbsp;текущего распределения типов задач, уровней сложности и&nbsp;математических областей.</li><li class="stk-reset stk-list-item" data-ce-tag="list-item">Публичный выпуск задач&nbsp;— команда планирует выпустить дополнительные задачи в&nbsp;ближайшие месяцы для привлечения сообщества и&nbsp;облегчения сравнительного анализа.</li><li class="stk-reset stk-list-item" data-ce-tag="list-item">Усиление контроля качества за&nbsp;счёт расширения экспертной оценки, увеличения вознаграждения за&nbsp;обнаруженные ошибки и&nbsp;улучшения процессов рецензирования.</li></ul><div class="stk-grid stk-grid__layout_columns stk-theme_26309__mb_15" data-stk-css="stkY6etq" data-ce-tag="grid"><div data-col-width="1" class="stk-grid-col align-left valign-top stk-mobile-hidden" data-ce-tag="grid-col" data-stk-css="" data-stk-css-m=""><a class="sklbx-link sklbx-link--fb stk-container stk-container-link stk-reset" data-ce-tag="container" data-container-name="Telegram" href="https://t.me/skillbox_media_code" target="_blank"><svg class="sklbx-link__icon" width="25" height="20" xmlns="http://www.w3.org/2000/svg">
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\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0437\u0430\u0434\u0430\u0447 FrontierMath. \u0412 \u0435\u0433\u043e \u0441\u043e\u0441\u0442\u0430\u0432 \u0432\u0445\u043e\u0434\u044f\u0442 \u0437\u0430\u0434\u0430\u0447\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043d\u0435\u0439\u0440\u043e\u0441\u0435\u0442\u0438 \u043d\u0435&nbsp;\u043c\u043e\u0433\u0443\u0442 \u0440\u0435\u0448\u0438\u0442\u044c \u0438 \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0432\u0435\u0434\u0443\u0449\u0438\u0435 \u043f\u0440\u043e\u0444\u0435\u0441\u0441\u043e\u0440\u0430 \u043f\u043e&nbsp;\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0442\u0440\u0430\u0442\u044f\u0442 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0447\u0430\u0441\u043e\u0432 \u0438\u043b\u0438 \u0434\u043d\u0435\u0439. \u041d\u0430\u0431\u043e\u0440 FrontierMath \u043f\u043b\u0430\u043d\u0438\u0440\u0443\u044e\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u043b\u044f \u043e\u0446\u0435\u043d\u043a\u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u043d\u043e\u0441\u0442\u0435\u0439 \u0418\u0418-\u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0438&nbsp;\u043e\u0442\u0441\u043b\u0435\u0436\u0438\u0432\u0430\u043d\u0438\u044f \u0434\u0438\u043d\u0430\u043c\u0438\u043a\u0438 \u0438\u0445&nbsp;\u0440\u0430\u0437\u0432\u0438\u0442\u0438\u044f.\r\n \r\n\u0418\u043d\u0444\u043e\u0433\u0440\u0430\u0444\u0438\u043a\u0430: Epoch AI  \r\n\r\n\u041d\u0430\u0434 \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u043a\u043e\u0439 \u0437\u0430\u0434\u0430\u0447 \u0440\u0430\u0431\u043e\u0442\u0430\u043b\u0438 \u0432\u0435\u0434\u0443\u0449\u0438\u0435 \r\n\u043f\u0440\u043e\u0444\u0435\u0441\u0441\u043e\u0440\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438, \u0430\u0432\u0442\u043e\u0440\u044b \u041c\u0435\u0436\u0434\u0443\u043d\u0430\u0440\u043e\u0434\u043d\u043e\u0439 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043e\u043b\u0438\u043c\u043f\u0438\u0430\u0434\u044b \u0438&nbsp;\u043c\u0435\u0434\u0430\u043b\u0438\u0441\u0442\u044b \u0424\u0438\u043b\u0434\u0441\u043e\u0432\u0441\u043a\u043e\u0439 \u043f\u0440\u0435\u043c\u0438\u0438. \u0412&nbsp;\u0440\u0430\u0431\u043e\u0442\u0435 \u043d\u0430\u0434 FrontierMath \u0443\u0447\u0430\u0441\u0442\u0432\u043e\u0432\u0430\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 60&nbsp;\u0447\u0435\u043b\u043e\u0432\u0435\u043a. \u0417\u0430\u0434\u0430\u0447\u0438 \u0438\u0437&nbsp;\u044d\u0442\u043e\u0433\u043e \u043d\u0430\u0431\u043e\u0440\u0430 \u0432\u043a\u043b\u044e\u0447\u0430\u044e\u0442 \u0432&nbsp;\u0441\u0435\u0431\u044f \u0442\u0430\u043a\u0438\u0435 \u0440\u0430\u0437\u0434\u0435\u043b\u044b \u043f\u0440\u0435\u0434\u043c\u0435\u0442\u0430, \u043a\u0430\u043a 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