From 92e033f9714ac150d1dd09910525569c81a32c2b Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=EC=95=88=EC=A7=80=EB=AF=BC?= Date: Sun, 30 Nov 2025 11:41:20 +0900 Subject: [PATCH 01/21] =?UTF-8?q?=E2=9C=8D=EF=B8=8F=20Add:=20Math-Verify-L?= =?UTF-8?q?eaderboard?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- _posts/2025-12-01-math-verify-leaderboard.md | 124 +++++++++++++++++++ 1 file changed, 124 insertions(+) create mode 100644 _posts/2025-12-01-math-verify-leaderboard.md diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md new file mode 100644 index 0000000..23609d1 --- /dev/null +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -0,0 +1,124 @@ +--- +layout: post +title: "Math-Verify로 Open LLM 리더보드 바로잡기" +author: Jimin +categories: [LLM, leaderboard] +image: assets/images/blog/posts/2025-12-01-math-verify-leaderboard/thumbnail.png +--- + +* TOC +{:toc} + +_이 글은 Hugging Face 블로그의 [Fixing Open LLM Leaderboard with Math-Verify](https://huggingface.co/blog/math_verify_leaderboard)를 한국어로 번역한 글입니다._ + +--- + +# Fixing Open LLM Leaderboard with Math-Verify + +3 weeks ago, we showed how hard it is to correctly evaluate LLM performance on math problems, and introduced [Math-Verify](https://github.com/huggingface/Math-Verify), a better solution to validate models on math (read more in the [announcement](https://x.com/HKydlicek/status/1881734376696041659))! + +Today, we’re thrilled to share that we’ve used Math-Verify to thoroughly re-evaluate all 3,751 models ever submitted to the Open LLM Leaderboard, for even fairer and more robust model comparisons! + +## Why math evaluation on the Open LLM Leaderboard was broken + +The Open LLM Leaderboard is the most used leaderboard on the Hugging Face Hub: it compares open Large Language Models (LLM) performance across various tasks. One of these tasks, called MATH-Hard, is specifically about math problems: it evaluates how well LLMs solve high-school and university-level math problems. It uses 1,324 highest difficulty problems (Level 5) from the [Hendrycks MATH](https://github.com/hendrycks/math) dataset spread across 7 topics (precalculus, prealgebra, algebra, intermediate algebra, counting/probability and number theory), using a 5-shot approach (the model is provided with 5 examples in the prompt to showcase how it should answer). + +A typical question looks like this: + +``` +For all real numbers $r$ and $s$, define the mathematical operation $\#$ such that the following conditions apply: $r\ \#\ 0 = r, r\ \#\ s = s\ \#\ r$, and $(r + 1)\ \#\ s = (r\ \#\ s) + s + 1$. What is the value of $11\ \#\ 5$? +``` + +To which the answer would be: + +``` +71 +``` + +In the leaderboard, models would have to end their answers with a very specific string (following the [Minerva-Math paper](https://arxiv.org/abs/2206.14858)): + +> “Final answer is [ANSWER]. I hope it is correct.” + +The leaderboard would then try to parse `[ANSWER]` with [SymPy](https://docs.sympy.org/latest/index.html) to convert it to a symbolic representation (and simplify the values if needed), before finally comparing it to the gold target. + +However, users reported a number of issues with the above. + +To start, a recurring issue was the inability of some models to follow the expected answer format from the examples: they outputted other sentences instead to introduce their answers. Since the format was not followed, answers were marked as wrong even if they were actually correct! (Which is an issue if what you’re interested in is “how good the model is at math” specifically). + +| 📄 Example | ❗️Issue | ✅ Math-Verify | 🛑 Old-Leaderboard | +|--------------------------------------------------------------------------------------------------------------------------------------------|--------------------|----------------------|--------------------| +| Therefore, the perimeter of one of these triangles is $14 + 7\sqrt{2}$ inches, expressed in simplest radical form. | Failed extraction | 7*sqrt(2) + 14 | None | +| Therefore, the sum of the infinite geometric series is (\frac{7}{9}). | Failed extraction | 7/9 | None | +| ( p(n) ) and ( p(n+1) ) share a common factor greater than 1 is (\boxed{41}). | Failed extraction | 4 | None | +| So it’s \frac{1}{9} | Failed extraction | 1/9 | None | +| Concluding he has \boxed{5} cars | Failed extraction | 5 | None | + + +The next step, converting `[ANSWER]` to the symbolic representation also presented some issues, this time linked to the SymPy parsing: + +| 📄 Example | ❗️Issue | ✅ Math-Verify | 🛑 Old-Leaderboard | +|----------------------------------------------------------------------------------------------------------------------------------------|------------------------------------------------------|-------------------------------------------------------------------------------|--------------------| +| The final answer is $2x + 4y + z - 19 = 0$. I hope it is correct. | Partial parse of parametric eq | Eq(2 x + 4 y + z - 19, 0) | 0 | +| (23) | Failed extraction due to latex borders | `23` | None | +| ((- \infty, -14) \cup (-3, \infty)). | Failed extraction due to interval | Union(Interval.open(-oo, -14), Interval.open(-3, oo)) | None | +| 100% | Failed extraction due to invalid symbol | `1` | None | +| \begin{pmatrix}\frac{1}{50}&\frac{7}{50}\frac{7}{50}&\frac{49}{50}\end{pmatrix} | Failed extraction due to Matrix | Matrix([[1/50, 7/50], [7/50, 49/50]]) | None | + + +On the final step, when comparing the extracted answer with the target expression, a number of issues also occurred: + +| 📄 Example | ❗️Issue | ✅ Math-Verify | 🛑 Old-Leaderboard | +|--------------------------------------------------|---------------------------------------|---------------|--------------------| +| 1/3 == 0.333333 | No rounding support | True | False | +| sqrt(1/2)\*7 == sqrt(0.5)\*7 | No numerical evaluation support | True | False | +| k = 1 == 1 | No variable assignment support | True | False | +| Matrix.ones == Matrix.ones | No support for matrix equivalence | True | False | +| {1} \union {1,4} == {1,4} | No support for set comparison | True | False | + + +**All of these issues are now completely fixed with the new Math-Verify parser!** + +## Which model is the best at math? A complete reshuffling of cards thanks to fairer evaluations + +As all these issues tend to accumulate, some models deeply suffered from this, and their performance was strongly underestimated… so we removed the previous evaluator and added Math-Verify, which was as simple as changing only 3 lines of code! (You can try it too on your math evals!) + +This therefore meant re-evaluating all submitted models since June… and it completely overhauled the top 20 models on the MATH subset of the leaderboard. + +### Impact of the change + +On average, models solved **61 more problems** across the board, equating to a **4.66-point** increase across the board! + +![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/score-change.png) + + +The two subsets that showed the most significant improvement were both algebra-related (Algebra and Prealgebra) with gains of 8.27 and 6.93, respectively. In extreme cases, some models demonstrated improvements of nearly 90 points on these subsets. We believe these subsets saw the greatest improvement because they frequently involve answers presented as sets (due to questions with multiple solutions) and matrices. The Math-Verify has enhanced its handling of both answer types, contributing to these notable gains. + +![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/subset-change.png) + +### Model Family Changes + +We initially discovered the math evaluation issues when inspecting Qwen models, which had unusually low scores compared to the self-reported performance. After the Math-Verify introduction, the scores more than doubled for these models, showcasing previous severe underestimation of performance. + +But Qwen models aren’t alone. Another major family affected is DeepSeek. After switching to Math-Verify, DeepSeek models almost tripled their scores! This is because their answers are typically wrapped in boxed `(\boxed{})` notations which the old evaluator couldn’t extract. + +![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/model-family-change.png) + +### Changes in the MATH-Hard Leaderboard + +As mentioned at the beginning, the Top 20 rankings have undergone a significant shift, with Nvidia’s AceMath models now dominating the MATH-Hard leaderboard. Other major beneficiaries of this change are the Qwen derivatives, which are now almost exclusively the only models ranking right below AceMath. Following is the complete table comparing the old and new Top 20 leaderboard rankings: + +![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/math-hard-change.png) + +### Changes in the Leaderboard + +Finally, we examined how the overall Leaderboard results have evolved. While the top four positions remain unchanged, the rest have undergone significant shifts. Due to the rise of multiple Qwen derivatives in the MATH subset, the presence of Qwen models among the top 20 has grown — derived models grown even further at the Overall results. + +![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/overal-change.png) + +Many other models also completely jumped in the rankings, gaining 200 places or more! You can check out the results in more detail at the Open LLM Leaderboard. + +## Wrapping Up + +The introduction of Math-Verify has significantly improved the accuracy and fairness of our evaluations on the Open LLM Leaderboard. This has led to a reshuffling of the leaderboard, with many models showing substantial improvements in their scores. + +We encourage all developers and researchers to adopt Math-Verify for their own math evaluations. By doing so, you can ensure that your models are evaluated with more reliable results. Additionally, we invite you to explore the updated rankings and see how your favorite models have changed in performance. From 69c6ab1a23c473f5800c1ebe7bf32629b78550fd Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=EC=95=88=EC=A7=80=EB=AF=BC?= Date: Sun, 30 Nov 2025 11:44:06 +0900 Subject: [PATCH 02/21] =?UTF-8?q?=E2=9C=8D=EF=B8=8F=20update:=20draft=20tr?= =?UTF-8?q?anslation?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- _posts/2025-12-01-math-verify-leaderboard.md | 117 ++++++++++--------- 1 file changed, 60 insertions(+), 57 deletions(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 23609d1..c2e1bb4 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -3,7 +3,7 @@ layout: post title: "Math-Verify로 Open LLM 리더보드 바로잡기" author: Jimin categories: [LLM, leaderboard] -image: assets/images/blog/posts/2025-12-01-math-verify-leaderboard/thumbnail.png +image: assets/images/blog/posts/2025-12-01-math-verify-leaderboard/thumbnail.png --- * TOC @@ -13,112 +13,115 @@ _이 글은 Hugging Face 블로그의 [Fixing Open LLM Leaderboard with Math-Ver --- -# Fixing Open LLM Leaderboard with Math-Verify -3 weeks ago, we showed how hard it is to correctly evaluate LLM performance on math problems, and introduced [Math-Verify](https://github.com/huggingface/Math-Verify), a better solution to validate models on math (read more in the [announcement](https://x.com/HKydlicek/status/1881734376696041659))! +# Math-Verify로 Open LLM 리더보드 바로잡기 -Today, we’re thrilled to share that we’ve used Math-Verify to thoroughly re-evaluate all 3,751 models ever submitted to the Open LLM Leaderboard, for even fairer and more robust model comparisons! +3주 전, 우리는 수학 문제에서 LLM 성능을 정확하게 평가하는 것이 얼마나 어려운지 보여주었고, 수학 모델 검증을 위한 더 나은 솔루션인 [Math-Verify](https://github.com/huggingface/Math-Verify)를 소개했습니다 (자세한 내용은 [공지](https://x.com/HKydlicek/status/1881734376696041659)에서 확인하세요)! -## Why math evaluation on the Open LLM Leaderboard was broken +오늘 우리는 Math-Verify를 사용하여 Open LLM Leaderboard에 제출된 모든 3,751개 모델을 완전히 재평가하였으며, 덕분에 이전보다 훨씬 더 공정하고 견고한 모델 비교가 가능해졌다는 소식을 전하게 되어 매우 기쁩니다! -The Open LLM Leaderboard is the most used leaderboard on the Hugging Face Hub: it compares open Large Language Models (LLM) performance across various tasks. One of these tasks, called MATH-Hard, is specifically about math problems: it evaluates how well LLMs solve high-school and university-level math problems. It uses 1,324 highest difficulty problems (Level 5) from the [Hendrycks MATH](https://github.com/hendrycks/math) dataset spread across 7 topics (precalculus, prealgebra, algebra, intermediate algebra, counting/probability and number theory), using a 5-shot approach (the model is provided with 5 examples in the prompt to showcase how it should answer). +## 왜 Open LLM Leaderboard의 수학 평가가 잘못되었을까? -A typical question looks like this: +Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 사용되는 리더보드입니다. 이는 다양한 태스크에서 오픈 LLM(대규모 언어 모델)의 성능을 비교합니다. 이 중 하나인 MATH-Hard는 수학 문제에 특화된 태스크로, LLM이 고등학교 및 대학 수준의 수학 문제를 얼마나 잘 해결하는지를 평가합니다. 이는 [Hendrycks MATH](https://github.com/hendrycks/math) 데이터셋의 최고 난이도(Level 5) 문제 1,324개를 7개 주제(Precalculus, Prealgebra, Algebra, Intermediate Algebra, Counting/Probability, Number Theory)에 걸쳐 사용하며, 5-shot 방식(모델에 5개의 예시를 제공하여 답변 형식을 보여줌)을 적용합니다. + +일반적인 문제 예시는 다음과 같습니다: ``` For all real numbers $r$ and $s$, define the mathematical operation $\#$ such that the following conditions apply: $r\ \#\ 0 = r, r\ \#\ s = s\ \#\ r$, and $(r + 1)\ \#\ s = (r\ \#\ s) + s + 1$. What is the value of $11\ \#\ 5$? ``` -To which the answer would be: +이에 대한 정답은: ``` 71 ``` -In the leaderboard, models would have to end their answers with a very specific string (following the [Minerva-Math paper](https://arxiv.org/abs/2206.14858)): - -> “Final answer is [ANSWER]. I hope it is correct.” - -The leaderboard would then try to parse `[ANSWER]` with [SymPy](https://docs.sympy.org/latest/index.html) to convert it to a symbolic representation (and simplify the values if needed), before finally comparing it to the gold target. +리더보드에서는 모델이 다음과 같은 매우 특정한 문자열로 답변을 마무리해야 했습니다 ( [Minerva-Math 논문](https://arxiv.org/abs/2206.14858)을 따름): -However, users reported a number of issues with the above. +``` +“Final answer is [ANSWER]. I hope it is correct.” +``` -To start, a recurring issue was the inability of some models to follow the expected answer format from the examples: they outputted other sentences instead to introduce their answers. Since the format was not followed, answers were marked as wrong even if they were actually correct! (Which is an issue if what you’re interested in is “how good the model is at math” specifically). +그 후 리더보드는 [SymPy](https://docs.sympy.org/latest/index.html)를 사용하여 `[ANSWER]`를 기호 표현으로 변환하고(필요한 경우 값을 단순화), 정답과 비교했습니다. -| 📄 Example | ❗️Issue | ✅ Math-Verify | 🛑 Old-Leaderboard | -|--------------------------------------------------------------------------------------------------------------------------------------------|--------------------|----------------------|--------------------| -| Therefore, the perimeter of one of these triangles is $14 + 7\sqrt{2}$ inches, expressed in simplest radical form. | Failed extraction | 7*sqrt(2) + 14 | None | -| Therefore, the sum of the infinite geometric series is (\frac{7}{9}). | Failed extraction | 7/9 | None | -| ( p(n) ) and ( p(n+1) ) share a common factor greater than 1 is (\boxed{41}). | Failed extraction | 4 | None | -| So it’s \frac{1}{9} | Failed extraction | 1/9 | None | -| Concluding he has \boxed{5} cars | Failed extraction | 5 | None | +하지만 위 방식에는 여러 가지 문제가 있다는 것이 사용자들로부터 보고되었습니다. +먼저, 반복적으로 보고된 문제는 일부 모델이 예시에서 기대한 답변 형식을 따르지 못한다는 점입니다. 대신 답변을 소개하는 문장을 출력하는 경우가 있었고, 이로 인해 형식을 따르지 않았다는 이유만으로 실제로는 정답임에도 오답 처리되었습니다! (이는 “모델이 수학을 얼마나 잘하는지”를 정확히 평가하고 싶을 때 큰 문제입니다). -The next step, converting `[ANSWER]` to the symbolic representation also presented some issues, this time linked to the SymPy parsing: +| 📄 예시 | ❗️문제 유형 | ✅ Math-Verify 변환값 | 🛑 기존 리더보드 결과 | +| ------------------------------------------------------------------------------------------------------------------ | ------- | ----------------- | ------------- | +| Therefore, the perimeter of one of these triangles is $14 + 7\sqrt{2}$ inches, expressed in simplest radical form. | 추출 실패 | 7*sqrt(2) + 14 | None | +| Therefore, the sum of the infinite geometric series is (\frac{7}{9}). | 추출 실패 | 7/9 | None | +| ( p(n) ) and ( p(n+1) ) share a common factor greater than 1 is (\boxed{41}). | 추출 실패 | 4 | None | +| So it’s \frac{1}{9} | 추출 실패 | 1/9 | None | +| Concluding he has \boxed{5} cars | 추출 실패 | 5 | None | -| 📄 Example | ❗️Issue | ✅ Math-Verify | 🛑 Old-Leaderboard | -|----------------------------------------------------------------------------------------------------------------------------------------|------------------------------------------------------|-------------------------------------------------------------------------------|--------------------| -| The final answer is $2x + 4y + z - 19 = 0$. I hope it is correct. | Partial parse of parametric eq | Eq(2 x + 4 y + z - 19, 0) | 0 | -| (23) | Failed extraction due to latex borders | `23` | None | -| ((- \infty, -14) \cup (-3, \infty)). | Failed extraction due to interval | Union(Interval.open(-oo, -14), Interval.open(-3, oo)) | None | -| 100% | Failed extraction due to invalid symbol | `1` | None | -| \begin{pmatrix}\frac{1}{50}&\frac{7}{50}\frac{7}{50}&\frac{49}{50}\end{pmatrix} | Failed extraction due to Matrix | Matrix([[1/50, 7/50], [7/50, 49/50]]) | None | +다음 단계인 `[ANSWER]`를 기호 표현으로 변환하는 과정에서도 SymPy 파싱과 관련된 다양한 문제가 있었습니다: +| 📄 예시 | ❗️문제 유형 | ✅ Math-Verify 변환값 | 🛑 기존 리더보드 | +| ------------------------------------------------------------------------------- | ------------------ | ----------------------------------------------------- | ---------- | +| The final answer is $2x + 4y + z - 19 = 0$. I hope it is correct. | 매개변수 방정식 부분 파싱 실패 | Eq(2 x + 4 y + z - 19, 0) | 0 | +| (23) | LaTeX 경계 문자로 추출 실패 | `23` | None | +| ((- \infty, -14) \cup (-3, \infty)). | 구간 표현 추출 실패 | Union(Interval.open(-oo, -14), Interval.open(-3, oo)) | None | +| 100% | 잘못된 기호로 인한 추출 실패 | `1` | None | +| \begin{pmatrix}\frac{1}{50}&\frac{7}{50}\frac{7}{50}&\frac{49}{50}\end{pmatrix} | 행렬 추출 실패 | Matrix([[1/50, 7/50], [7/50, 49/50]]) | None | -On the final step, when comparing the extracted answer with the target expression, a number of issues also occurred: +마지막으로, 추출된 답과 정답 표현을 비교하는 과정에서도 여러 문제가 발생했습니다: -| 📄 Example | ❗️Issue | ✅ Math-Verify | 🛑 Old-Leaderboard | -|--------------------------------------------------|---------------------------------------|---------------|--------------------| -| 1/3 == 0.333333 | No rounding support | True | False | -| sqrt(1/2)\*7 == sqrt(0.5)\*7 | No numerical evaluation support | True | False | -| k = 1 == 1 | No variable assignment support | True | False | -| Matrix.ones == Matrix.ones | No support for matrix equivalence | True | False | -| {1} \union {1,4} == {1,4} | No support for set comparison | True | False | +| 📄 예시 | ❗️문제 유형 | ✅ Math-Verify | 🛑 기존 리더보드 | +| -------------------------- | ------------- | ------------- | ---------- | +| 1/3 == 0.333333 | 반올림 비교 미지원 | True | False | +| sqrt(1/2)*7 == sqrt(0.5)*7 | 수치 평가 비교 미지원 | True | False | +| k = 1 == 1 | 변수 할당 비교 미지원 | True | False | +| Matrix.ones == Matrix.ones | 행렬 동등성 비교 미지원 | True | False | +| {1} \union {1,4} == {1,4} | 집합 비교 미지원 | True | False | +**이 모든 문제가 이제 새로운 Math-Verify 파서로 완전히 해결되었습니다!** -**All of these issues are now completely fixed with the new Math-Verify parser!** +--- -## Which model is the best at math? A complete reshuffling of cards thanks to fairer evaluations +## 어느 모델이 수학을 가장 잘할까? 공정한 평가를 통해 완전히 뒤바뀐 결과 -As all these issues tend to accumulate, some models deeply suffered from this, and their performance was strongly underestimated… so we removed the previous evaluator and added Math-Verify, which was as simple as changing only 3 lines of code! (You can try it too on your math evals!) +이러한 문제들이 누적되면서, 일부 모델은 심각한 과소평가를 받았으며 실제보다 훨씬 낮은 성능으로 평가되었습니다… 그래서 우리는 기존 평가기를 제거하고 Math-Verify를 도입했으며, 이 작업은 단 3줄의 코드만 수정하면 될 정도로 간단했습니다! (여러분도 수학 평가에 쉽게 적용할 수 있습니다.) -This therefore meant re-evaluating all submitted models since June… and it completely overhauled the top 20 models on the MATH subset of the leaderboard. +그 결과, 6월 이후 제출된 모든 모델을 다시 평가해야 했으며… 이는 리더보드의 MATH 영역 상위 20위 모델들의 순위를 완전히 바꾸어 놓았습니다. -### Impact of the change +### 변화의 영향 -On average, models solved **61 more problems** across the board, equating to a **4.66-point** increase across the board! +평균적으로 모델들은 **문제 61개를 더 맞았으며**, 이는 전체적으로 **4.66점의 점수 상승**에 해당합니다! ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/score-change.png) - -The two subsets that showed the most significant improvement were both algebra-related (Algebra and Prealgebra) with gains of 8.27 and 6.93, respectively. In extreme cases, some models demonstrated improvements of nearly 90 points on these subsets. We believe these subsets saw the greatest improvement because they frequently involve answers presented as sets (due to questions with multiple solutions) and matrices. The Math-Verify has enhanced its handling of both answer types, contributing to these notable gains. +가장 큰 개선을 보여준 두 개의 서브셋은 모두 대수 관련 영역(Algebra와 Prealgebra)으로, 각각 8.27점과 6.93점의 상승이 있었습니다. 극단적인 경우 일부 모델은 이 영역에서 거의 90점 가까이 향상되기도 했습니다. 우리는 이러한 서브셋이 여러 해답(집합 형태), 또는 행렬 형식으로 답을 표현하는 경우가 많기 때문에 개선 폭이 컸다고 판단합니다. Math-Verify는 이러한 형식의 정답 처리를 크게 향상시켰고, 이로 인해 높은 점수 상승이 있었습니다. ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/subset-change.png) -### Model Family Changes +### 모델 패밀리별 변화 -We initially discovered the math evaluation issues when inspecting Qwen models, which had unusually low scores compared to the self-reported performance. After the Math-Verify introduction, the scores more than doubled for these models, showcasing previous severe underestimation of performance. +우리는 처음에 Qwen 모델을 점검하면서 수학 평가 방식의 문제를 발견했습니다. 기존 리더보드에서 Qwen 모델은 스스로 보고한 성능보다 비정상적으로 낮은 점수를 받고 있었기 때문입니다. Math-Verify 적용 이후, Qwen 모델의 점수는 두 배 이상 증가하며 이전 평가가 얼마나 과소평가되었는지를 보여주었습니다. -But Qwen models aren’t alone. Another major family affected is DeepSeek. After switching to Math-Verify, DeepSeek models almost tripled their scores! This is because their answers are typically wrapped in boxed `(\boxed{})` notations which the old evaluator couldn’t extract. +하지만, 영향받은 것은 Qwen 모델만이 아닙니다. DeepSeek 모델들도 크게 개선되었습니다. Math-Verify 적용 후 DeepSeek 모델의 점수는 거의 세 배 가까이 상승했습니다! 이는 DeepSeek 모델이 정답을 일반적으로 `(\boxed{})` 표기 안에 넣어 출력하는데, 기존 평가기는 이를 제대로 추출하지 못했기 때문입니다. ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/model-family-change.png) -### Changes in the MATH-Hard Leaderboard +### MATH-Hard 리더보드 변화 -As mentioned at the beginning, the Top 20 rankings have undergone a significant shift, with Nvidia’s AceMath models now dominating the MATH-Hard leaderboard. Other major beneficiaries of this change are the Qwen derivatives, which are now almost exclusively the only models ranking right below AceMath. Following is the complete table comparing the old and new Top 20 leaderboard rankings: +앞서 언급했듯, 상위 20개 모델 순위는 크게 변동되었으며, Nvidia의 AceMath 모델들이 이제 MATH-Hard 리더보드를 장악하고 있습니다. 특히 Qwen 파생 모델들은 거의 AceMath 바로 아래 대부분의 순위를 차지하고 있습니다. 아래는 기존 및 새로운 상위 20개 모델 리더보드 전체 비교 테이블입니다: ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/math-hard-change.png) -### Changes in the Leaderboard +### 전체 리더보드 변화 -Finally, we examined how the overall Leaderboard results have evolved. While the top four positions remain unchanged, the rest have undergone significant shifts. Due to the rise of multiple Qwen derivatives in the MATH subset, the presence of Qwen models among the top 20 has grown — derived models grown even further at the Overall results. +마지막으로 전체 리더보드 결과가 어떻게 변화했는지 살펴보았습니다. 상위 4개 순위는 변하지 않았지만, 그 이후의 순위는 상당히 크게 바뀌었습니다. 특히 MATH 서브셋에서 Qwen 파생 모델들이 대거 떠오르면서, 전체 리더보드 상위권에서도 파생 모델의 비중이 크게 늘었습니다. ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/overal-change.png) -Many other models also completely jumped in the rankings, gaining 200 places or more! You can check out the results in more detail at the Open LLM Leaderboard. +또한 순위가 200위 이상 상승한 모델들도 다수 존재합니다! 더 자세한 결과는 Open LLM Leaderboard에서 확인할 수 있습니다. + +--- -## Wrapping Up +## 마무리 -The introduction of Math-Verify has significantly improved the accuracy and fairness of our evaluations on the Open LLM Leaderboard. This has led to a reshuffling of the leaderboard, with many models showing substantial improvements in their scores. +Math-Verify의 도입은 Open LLM Leaderboard에서 평가의 정확성과 공정성을 크게 향상시켰습니다. 이로 인해 리더보드가 재편되었으며, 많은 모델이 이전보다 훨씬 정확한 성능을 보여주게 되었습니다. -We encourage all developers and researchers to adopt Math-Verify for their own math evaluations. By doing so, you can ensure that your models are evaluated with more reliable results. Additionally, we invite you to explore the updated rankings and see how your favorite models have changed in performance. +우리는 모든 개발자 및 연구자들이 자신의 수학 평가에도 Math-Verify를 적용해 보기를 적극 권장합니다. 이를 통해 훨씬 더 신뢰할 수 있는 평가 결과를 얻을 수 있습니다. 또한, 업데이트된 리더보드를 살펴보고, 여러분이 관심 있는 모델이 얼마나 달라졌는지도 확인해 보세요. \ No newline at end of file From b530ba74b6a545971c8bb9a5b91ad9849e81d6cf Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=EC=95=88=EC=A7=80=EB=AF=BC?= Date: Sun, 30 Nov 2025 12:41:33 +0900 Subject: [PATCH 03/21] =?UTF-8?q?=E2=9C=8D=EF=B8=8F=20update:=20final=20re?= =?UTF-8?q?vision?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- _posts/2025-12-01-math-verify-leaderboard.md | 64 +++++++++--------- .../thumbnail.png | Bin 0 -> 240979 bytes 2 files changed, 33 insertions(+), 31 deletions(-) create mode 100644 assets/images/blog/posts/2025-12-01-math-verify-leaderboard/thumbnail.png diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index c2e1bb4..beedb2b 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -16,37 +16,37 @@ _이 글은 Hugging Face 블로그의 [Fixing Open LLM Leaderboard with Math-Ver # Math-Verify로 Open LLM 리더보드 바로잡기 -3주 전, 우리는 수학 문제에서 LLM 성능을 정확하게 평가하는 것이 얼마나 어려운지 보여주었고, 수학 모델 검증을 위한 더 나은 솔루션인 [Math-Verify](https://github.com/huggingface/Math-Verify)를 소개했습니다 (자세한 내용은 [공지](https://x.com/HKydlicek/status/1881734376696041659)에서 확인하세요)! +3주 전, 우리는 LLM이 수학 문제를 제대로 풀었는지 정확하게 평가하는 일이 얼마나 어려운지를 보여주었고, 이를 해결할 더 나은 방법으로 [Math-Verify](https://github.com/huggingface/Math-Verify)를 소개했습니다 (자세한 내용은 [공지](https://x.com/HKydlicek/status/1881734376696041659)에서 확인할 수 있어요)! -오늘 우리는 Math-Verify를 사용하여 Open LLM Leaderboard에 제출된 모든 3,751개 모델을 완전히 재평가하였으며, 덕분에 이전보다 훨씬 더 공정하고 견고한 모델 비교가 가능해졌다는 소식을 전하게 되어 매우 기쁩니다! +그리고 오늘, Math-Verify를 활용해 지금까지 Open LLM Leaderboard에 제출된 **총 3,751개 모델을 전부 다시 평가**했고, 그 결과 이전보다 훨씬 더 **공정하고 신뢰할 수 있는 모델 비교가 가능해졌습니다!** -## 왜 Open LLM Leaderboard의 수학 평가가 잘못되었을까? -Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 사용되는 리더보드입니다. 이는 다양한 태스크에서 오픈 LLM(대규모 언어 모델)의 성능을 비교합니다. 이 중 하나인 MATH-Hard는 수학 문제에 특화된 태스크로, LLM이 고등학교 및 대학 수준의 수학 문제를 얼마나 잘 해결하는지를 평가합니다. 이는 [Hendrycks MATH](https://github.com/hendrycks/math) 데이터셋의 최고 난이도(Level 5) 문제 1,324개를 7개 주제(Precalculus, Prealgebra, Algebra, Intermediate Algebra, Counting/Probability, Number Theory)에 걸쳐 사용하며, 5-shot 방식(모델에 5개의 예시를 제공하여 답변 형식을 보여줌)을 적용합니다. -일반적인 문제 예시는 다음과 같습니다: +## 왜 Open LLM Leaderboard의 수학 평가는 제대로 작동하지 않았을까? + +Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더보드로, 다양한 태스크에서 오픈 LLM(대규모 언어 모델)의 성능을 비교합니다. 이 중 MATH-Hard는 수학 문제에 특화된 평가로, LLM이 고등학교 및 대학 수준의 수학 문제를 얼마나 정확하게 풀 수 있는지 측정합니다. 이는 [Hendrycks MATH](https://github.com/hendrycks/math) 데이터셋의 최고 난이도(Level 5) 문제 1,324개이며, 문제는 선행 미적분(Precalculus), 기초 대수(Prealgebra), 대수(Algebra), 중급 대수(Intermediate Algebra), 조합·확률(Counting/Probability), 정수론(Number Theory) 등 7개의 주제로 구성되어 있습니다. 문제는 5-shot 방식으로 진행되며, 모델은 문제를 풀기 전에 예시 5개를 참고해 답변 형식을 학습합니다. -``` -For all real numbers $r$ and $s$, define the mathematical operation $\#$ such that the following conditions apply: $r\ \#\ 0 = r, r\ \#\ s = s\ \#\ r$, and $(r + 1)\ \#\ s = (r\ \#\ s) + s + 1$. What is the value of $11\ \#\ 5$? -``` +일반적인 문제 예시는 다음과 같습니다: -이에 대한 정답은: +> 모든 실수 r,s에 대해 연산 # 를 다음 두 조건으로 정의한다: +> +> $r\ \#\ 0 = r, r\ \#\ s = s\ \#\ r$ and $(r + 1)\ \#\ s = (r\ \#\ s) + s + 1$ +> +> 이때 $11\ \#\ 5$의 값은? -``` -71 -``` +이에 대한 정답(grount truth)은 다음과 같습니다. +> 71 -리더보드에서는 모델이 다음과 같은 매우 특정한 문자열로 답변을 마무리해야 했습니다 ( [Minerva-Math 논문](https://arxiv.org/abs/2206.14858)을 따름): +기존 리더보드에서는 모델이 다음과 같이 고정된 문자열로 답변을으 마무리해야 합니다 ([Minerva-Math 논문](https://arxiv.org/abs/2206.14858)): -``` -“Final answer is [ANSWER]. I hope it is correct.” -``` +> “Final answer is [ANSWER]. I hope it is correct.” -그 후 리더보드는 [SymPy](https://docs.sympy.org/latest/index.html)를 사용하여 `[ANSWER]`를 기호 표현으로 변환하고(필요한 경우 값을 단순화), 정답과 비교했습니다. +이후 리더보드에서는 [SymPy](https://docs.sympy.org/latest/index.html)를 사용하여 `[ANSWER]`를 기호 표현으로 변환하고(필요한 경우 값을 단순화), 정답과 비교합니다. -하지만 위 방식에는 여러 가지 문제가 있다는 것이 사용자들로부터 보고되었습니다. +하지만 이러한 기존 방식에는 여러 문제가 있다는 사용자들의 보고가 있었습니다. -먼저, 반복적으로 보고된 문제는 일부 모델이 예시에서 기대한 답변 형식을 따르지 못한다는 점입니다. 대신 답변을 소개하는 문장을 출력하는 경우가 있었고, 이로 인해 형식을 따르지 않았다는 이유만으로 실제로는 정답임에도 오답 처리되었습니다! (이는 “모델이 수학을 얼마나 잘하는지”를 정확히 평가하고 싶을 때 큰 문제입니다). +가장 반복적으로 나타난 문제는 일부 모델이 예시에서 제시된 답변 형식을 제대로 따르지 못한다는 점입니다. 대신 답변을 소개하는 문장을 함께 출력하는 경우가 있었고, 이 때문에 형식을 지키지 않았다는 이유만으로 실제로는 정답임에도 오답 처리되는 상황이 발생했습니다. +(이는 “모델이 수학 문제를 얼마나 잘 푸는지”를 정확히 평가하고 싶을 때 큰 문제가 됩니다.) | 📄 예시 | ❗️문제 유형 | ✅ Math-Verify 변환값 | 🛑 기존 리더보드 결과 | | ------------------------------------------------------------------------------------------------------------------ | ------- | ----------------- | ------------- | @@ -56,7 +56,7 @@ For all real numbers $r$ and $s$, define the mathematical operation $\#$ such th | So it’s \frac{1}{9} | 추출 실패 | 1/9 | None | | Concluding he has \boxed{5} cars | 추출 실패 | 5 | None | -다음 단계인 `[ANSWER]`를 기호 표현으로 변환하는 과정에서도 SymPy 파싱과 관련된 다양한 문제가 있었습니다: +다음 단계인 `[ANSWER]`를 기호 표현으로 변환하는 과정에서도 SymPy 파싱과 관련된 다양한 문제가 있었습니다: | 📄 예시 | ❗️문제 유형 | ✅ Math-Verify 변환값 | 🛑 기존 리더보드 | | ------------------------------------------------------------------------------- | ------------------ | ----------------------------------------------------- | ---------- | @@ -66,6 +66,7 @@ For all real numbers $r$ and $s$, define the mathematical operation $\#$ such th | 100% | 잘못된 기호로 인한 추출 실패 | `1` | None | | \begin{pmatrix}\frac{1}{50}&\frac{7}{50}\frac{7}{50}&\frac{49}{50}\end{pmatrix} | 행렬 추출 실패 | Matrix([[1/50, 7/50], [7/50, 49/50]]) | None | + 마지막으로, 추출된 답과 정답 표현을 비교하는 과정에서도 여러 문제가 발생했습니다: | 📄 예시 | ❗️문제 유형 | ✅ Math-Verify | 🛑 기존 리더보드 | @@ -76,31 +77,32 @@ For all real numbers $r$ and $s$, define the mathematical operation $\#$ such th | Matrix.ones == Matrix.ones | 행렬 동등성 비교 미지원 | True | False | | {1} \union {1,4} == {1,4} | 집합 비교 미지원 | True | False | -**이 모든 문제가 이제 새로운 Math-Verify 파서로 완전히 해결되었습니다!** +**이 모든 문제가 이제 새로운 Math-Verify 파서로 완전히 해결 가능합니다!** + + ---- ## 어느 모델이 수학을 가장 잘할까? 공정한 평가를 통해 완전히 뒤바뀐 결과 이러한 문제들이 누적되면서, 일부 모델은 심각한 과소평가를 받았으며 실제보다 훨씬 낮은 성능으로 평가되었습니다… 그래서 우리는 기존 평가기를 제거하고 Math-Verify를 도입했으며, 이 작업은 단 3줄의 코드만 수정하면 될 정도로 간단했습니다! (여러분도 수학 평가에 쉽게 적용할 수 있습니다.) -그 결과, 6월 이후 제출된 모든 모델을 다시 평가해야 했으며… 이는 리더보드의 MATH 영역 상위 20위 모델들의 순위를 완전히 바꾸어 놓았습니다. +그 결과, 6월 이후 제출된 모든 모델을 다시 평가하게 되었고, 이 과정에서 MATH 영역 상위 20위 모델들의 순위가 완전히 뒤바뀌었습니다. ### 변화의 영향 -평균적으로 모델들은 **문제 61개를 더 맞았으며**, 이는 전체적으로 **4.66점의 점수 상승**에 해당합니다! +평균적으로 모델들은 기존보다 61문제를 더 맞혔고, 이에 따라 총점 기준으로 4.66점 상승이라는 큰 변화를 기록했습니다! ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/score-change.png) -가장 큰 개선을 보여준 두 개의 서브셋은 모두 대수 관련 영역(Algebra와 Prealgebra)으로, 각각 8.27점과 6.93점의 상승이 있었습니다. 극단적인 경우 일부 모델은 이 영역에서 거의 90점 가까이 향상되기도 했습니다. 우리는 이러한 서브셋이 여러 해답(집합 형태), 또는 행렬 형식으로 답을 표현하는 경우가 많기 때문에 개선 폭이 컸다고 판단합니다. Math-Verify는 이러한 형식의 정답 처리를 크게 향상시켰고, 이로 인해 높은 점수 상승이 있었습니다. +가장 큰 개선을 보여준 두 개의 서브셋은 모두 대수 관련 영역(Algebra와 Prealgebra)으로, 각각 8.27점과 6.93점의 상승이 있었습니다. 극단적인 경우 일부 모델은 이 영역에서 거의 90점 가까이 향상되기도 했습니다. 우리는 이러한 서브셋이 여러 해답이 존재하는 문제(집합 형태)나 행렬 형식으로 답을 표현하는 문제가 많기 때문에 개선 폭이 컸다고 보고 있습니다. Math-Verify는 이러한 형식의 답변 처리 능력을 크게 향상시켰고, 그 결과 높은 점수 상승으로 이어졌습니다. ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/subset-change.png) ### 모델 패밀리별 변화 -우리는 처음에 Qwen 모델을 점검하면서 수학 평가 방식의 문제를 발견했습니다. 기존 리더보드에서 Qwen 모델은 스스로 보고한 성능보다 비정상적으로 낮은 점수를 받고 있었기 때문입니다. Math-Verify 적용 이후, Qwen 모델의 점수는 두 배 이상 증가하며 이전 평가가 얼마나 과소평가되었는지를 보여주었습니다. +우리는 처음에 Qwen 모델을 점검하는 과정에서 수학 평가 방식의 문제를 발견했습니다. 기존 리더보드에서 Qwen 모델은 공식 성능(자체 보고 점수)보다 비정상적으로 낮은 점수를 받고 있었기 때문입니다. Math-Verify 적용 이후, Qwen 모델의 점수는 두 배 이상 증가하며 이전 평가가 얼마나 과소평가되었는지를 보여주었습니다. -하지만, 영향받은 것은 Qwen 모델만이 아닙니다. DeepSeek 모델들도 크게 개선되었습니다. Math-Verify 적용 후 DeepSeek 모델의 점수는 거의 세 배 가까이 상승했습니다! 이는 DeepSeek 모델이 정답을 일반적으로 `(\boxed{})` 표기 안에 넣어 출력하는데, 기존 평가기는 이를 제대로 추출하지 못했기 때문입니다. +하지만, 영향받은 것은 Qwen 모델만이 아닙니다. DeepSeek 모델들도 크게 개선되었습니다. Math-Verify 적용 후 DeepSeek 모델의 점수는 거의 세 배 가까이 상승했습니다! 이는 DeepSeek 모델이 정답을 일반적으로 `(\boxed{})` 표기 안에 넣어 출력하는데, 기존 평가 방식은 이 정답 형식을 제대로 추출하지 못해 실제로는 맞은 답을 오답으로 처리했기 떄문입니다. ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/model-family-change.png) @@ -112,16 +114,16 @@ For all real numbers $r$ and $s$, define the mathematical operation $\#$ such th ### 전체 리더보드 변화 -마지막으로 전체 리더보드 결과가 어떻게 변화했는지 살펴보았습니다. 상위 4개 순위는 변하지 않았지만, 그 이후의 순위는 상당히 크게 바뀌었습니다. 특히 MATH 서브셋에서 Qwen 파생 모델들이 대거 떠오르면서, 전체 리더보드 상위권에서도 파생 모델의 비중이 크게 늘었습니다. +마지막으로 전체 리더보드 결과가 어떻게 변했는지 살펴보았습니다. 상위 4위까지는 순위가 그대로 유지되었지만, 그 이후 순위는 상당히 큰 변동이 있었습니다. 특히 MATH 서브셋에서 Qwen 파생 모델들이 다수 상승하면서, 전체 리더보드 상위권에서도 파생 모델의 비중이 크게 늘어났습니다. ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/overal-change.png) 또한 순위가 200위 이상 상승한 모델들도 다수 존재합니다! 더 자세한 결과는 Open LLM Leaderboard에서 확인할 수 있습니다. ---- ## 마무리 -Math-Verify의 도입은 Open LLM Leaderboard에서 평가의 정확성과 공정성을 크게 향상시켰습니다. 이로 인해 리더보드가 재편되었으며, 많은 모델이 이전보다 훨씬 정확한 성능을 보여주게 되었습니다. +Math-Verify의 도입으로 Open LLM Leaderboard의 평가 정확성과 공정성이 크게 향상되었습니다. 덕분에 리더보드가 재편되었고, 많은 모델들이 이전보다 훨씬 정확한 성능을 보여주게 되었습니다. -우리는 모든 개발자 및 연구자들이 자신의 수학 평가에도 Math-Verify를 적용해 보기를 적극 권장합니다. 이를 통해 훨씬 더 신뢰할 수 있는 평가 결과를 얻을 수 있습니다. 또한, 업데이트된 리더보드를 살펴보고, 여러분이 관심 있는 모델이 얼마나 달라졌는지도 확인해 보세요. \ No newline at end of file +저희는 모든 개발자와 연구자들에게 자신의 수학 평가에도 Math-Verify를 적용해 볼 것을 적극 권장합니다. 이를 통해 훨씬 신뢰할 수 있는 평가 결과를 얻을 수 있습니다. +또한, 업데이트된 리더보드를 확인하며, 관심 있는 모델이 어떻게 달라졌는지 직접 살펴보시길 바랍니다. \ No newline at end of file diff --git a/assets/images/blog/posts/2025-12-01-math-verify-leaderboard/thumbnail.png b/assets/images/blog/posts/2025-12-01-math-verify-leaderboard/thumbnail.png new file mode 100644 index 0000000000000000000000000000000000000000..090120665492face4782c9d42293148e867344d5 GIT binary patch literal 240979 zcmZU41z23Y)-LYu?!{dOcXzkq?mBpJ8KAfocXugJ+y-~I;%=pAkpjJ(U%u1x-&s#) zXOgUB_DY^)$(v|36R`xSyMDjxzFTk&MVb+1zw$u 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From 96a3ac648cfc87509e9ae23279f479de434489c3 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=EC=95=88=EC=A7=80=EB=AF=BC?= Date: Sun, 30 Nov 2025 12:55:47 +0900 Subject: [PATCH 04/21] =?UTF-8?q?=E2=9C=8D=EF=B8=8F=20update:=20typo?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- _posts/2025-12-01-math-verify-leaderboard.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index beedb2b..fdd54de 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -30,9 +30,9 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 > 모든 실수 r,s에 대해 연산 # 를 다음 두 조건으로 정의한다: > -> $r\ \#\ 0 = r, r\ \#\ s = s\ \#\ r$ and $(r + 1)\ \#\ s = (r\ \#\ s) + s + 1$ +> $r\ ≠ 0 = r, r\ ≠ s = s\ ≠ r$ and $(r + 1)\ ≠ s = (r\ ≠ s) + s + 1$ > -> 이때 $11\ \#\ 5$의 값은? +> 이때 $11\ ≠ 5$의 값은? 이에 대한 정답(grount truth)은 다음과 같습니다. > 71 @@ -84,7 +84,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 ## 어느 모델이 수학을 가장 잘할까? 공정한 평가를 통해 완전히 뒤바뀐 결과 -이러한 문제들이 누적되면서, 일부 모델은 심각한 과소평가를 받았으며 실제보다 훨씬 낮은 성능으로 평가되었습니다… 그래서 우리는 기존 평가기를 제거하고 Math-Verify를 도입했으며, 이 작업은 단 3줄의 코드만 수정하면 될 정도로 간단했습니다! (여러분도 수학 평가에 쉽게 적용할 수 있습니다.) +이러한 문제들이 누적되면서, 일부 모델은 심각한 과소평가를 받았으며 실제보다 훨씬 낮은 성능으로 평가되었습니다. 그래서 우리는 기존 평가기를 제거하고 Math-Verify를 도입했으며, 이 작업은 단 3줄의 코드만 수정하면 될 정도로 간단했습니다! (여러분도 수학 평가에 쉽게 적용할 수 있습니다.) 그 결과, 6월 이후 제출된 모든 모델을 다시 평가하게 되었고, 이 과정에서 MATH 영역 상위 20위 모델들의 순위가 완전히 뒤바뀌었습니다. From 3a3dc1f536272c491a461f4b369085e2cd35b560 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:09:23 +0900 Subject: [PATCH 05/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: Ahnjj_DEV --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index fdd54de..7895b01 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -24,7 +24,7 @@ _이 글은 Hugging Face 블로그의 [Fixing Open LLM Leaderboard with Math-Ver ## 왜 Open LLM Leaderboard의 수학 평가는 제대로 작동하지 않았을까? -Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더보드로, 다양한 태스크에서 오픈 LLM(대규모 언어 모델)의 성능을 비교합니다. 이 중 MATH-Hard는 수학 문제에 특화된 평가로, LLM이 고등학교 및 대학 수준의 수학 문제를 얼마나 정확하게 풀 수 있는지 측정합니다. 이는 [Hendrycks MATH](https://github.com/hendrycks/math) 데이터셋의 최고 난이도(Level 5) 문제 1,324개이며, 문제는 선행 미적분(Precalculus), 기초 대수(Prealgebra), 대수(Algebra), 중급 대수(Intermediate Algebra), 조합·확률(Counting/Probability), 정수론(Number Theory) 등 7개의 주제로 구성되어 있습니다. 문제는 5-shot 방식으로 진행되며, 모델은 문제를 풀기 전에 예시 5개를 참고해 답변 형식을 학습합니다. +Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더보드로, 다양한 태스크에서 오픈 LLM(대규모 언어 모델)의 성능을 비교합니다. 이 중 MATH-Hard는 수학 문제에 특화된 평가로, LLM이 고등학교 및 대학 수준의 수학 문제를 얼마나 정확하게 풀 수 있는지 측정합니다. 이 수학 문제들은 [Hendrycks MATH](https://github.com/hendrycks/math) 데이터셋의 최고 난이도(Level 5) 문제 중 1,324개를 뽑아, 선행 미적분(Precalculus), 기초 대수(Prealgebra), 대수(Algebra), 중급 대수(Intermediate Algebra), 조합·확률(Counting/Probability), 정수론(Number Theory) 등 7개의 주제로 구성되어 있습니다. 문제는 5-shot 방식으로 진행되며, 모델은 문제를 풀기 전에 예시 5개를 참고해 답변 형식을 학습합니다. 일반적인 문제 예시는 다음과 같습니다: From 459c527b317eb57ad5bffea2e22bd514da588727 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:09:32 +0900 Subject: [PATCH 06/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: Ahnjj_DEV --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 7895b01..c36970b 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -34,7 +34,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 > > 이때 $11\ ≠ 5$의 값은? -이에 대한 정답(grount truth)은 다음과 같습니다. +이에 대한 정답(ground truth)은 다음과 같습니다. > 71 기존 리더보드에서는 모델이 다음과 같이 고정된 문자열로 답변을으 마무리해야 합니다 ([Minerva-Math 논문](https://arxiv.org/abs/2206.14858)): From 7869e62eaaa7148defa4815ced02d0d3537b3e4b Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:09:42 +0900 Subject: [PATCH 07/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: Ahnjj_DEV --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index c36970b..a1f4c53 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -37,7 +37,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 이에 대한 정답(ground truth)은 다음과 같습니다. > 71 -기존 리더보드에서는 모델이 다음과 같이 고정된 문자열로 답변을으 마무리해야 합니다 ([Minerva-Math 논문](https://arxiv.org/abs/2206.14858)): +기존 리더보드에서는 모델이 다음과 같이 고정된 문자열로 답변을 마무리해야 합니다 ([Minerva-Math 논문](https://arxiv.org/abs/2206.14858)): > “Final answer is [ANSWER]. I hope it is correct.” From 679f00a5f53ebea9f601c3daee34c84518576aee Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:09:57 +0900 Subject: [PATCH 08/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: Ahnjj_DEV --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index a1f4c53..a4df758 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -77,7 +77,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 | Matrix.ones == Matrix.ones | 행렬 동등성 비교 미지원 | True | False | | {1} \union {1,4} == {1,4} | 집합 비교 미지원 | True | False | -**이 모든 문제가 이제 새로운 Math-Verify 파서로 완전히 해결 가능합니다!** +**새로운 Math-Verify 파서로 이 모든 문제를 해결 할 수 있습니다!** From 6dd1b72f0a4678631e63a89f54db43afa2749de7 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:10:20 +0900 Subject: [PATCH 09/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: Hyeonseo Yun <0525yhs@gmail.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index a4df758..0d6b579 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -102,7 +102,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 우리는 처음에 Qwen 모델을 점검하는 과정에서 수학 평가 방식의 문제를 발견했습니다. 기존 리더보드에서 Qwen 모델은 공식 성능(자체 보고 점수)보다 비정상적으로 낮은 점수를 받고 있었기 때문입니다. Math-Verify 적용 이후, Qwen 모델의 점수는 두 배 이상 증가하며 이전 평가가 얼마나 과소평가되었는지를 보여주었습니다. -하지만, 영향받은 것은 Qwen 모델만이 아닙니다. DeepSeek 모델들도 크게 개선되었습니다. Math-Verify 적용 후 DeepSeek 모델의 점수는 거의 세 배 가까이 상승했습니다! 이는 DeepSeek 모델이 정답을 일반적으로 `(\boxed{})` 표기 안에 넣어 출력하는데, 기존 평가 방식은 이 정답 형식을 제대로 추출하지 못해 실제로는 맞은 답을 오답으로 처리했기 떄문입니다. +하지만, 영향받은 것은 Qwen 모델만이 아닙니다. DeepSeek 모델들도 크게 개선되었습니다. Math-Verify 적용 후 DeepSeek 모델의 점수는 거의 세 배 가까이 상승했습니다! 이는 DeepSeek 모델이 정답을 일반적으로 `(\boxed{})` 표기 안에 넣어 출력하는데, 기존 평가 방식은 이 정답 형식을 제대로 추출하지 못해 실제로는 맞은 답을 오답으로 처리했기 때문입니다. ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/model-family-change.png) From dc8ca58814003afc702e4c958ce8e8253a425774 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:10:27 +0900 Subject: [PATCH 10/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: Hyeonseo Yun <0525yhs@gmail.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 0d6b579..48c4f75 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -64,7 +64,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 | (23) | LaTeX 경계 문자로 추출 실패 | `23` | None | | ((- \infty, -14) \cup (-3, \infty)). | 구간 표현 추출 실패 | Union(Interval.open(-oo, -14), Interval.open(-3, oo)) | None | | 100% | 잘못된 기호로 인한 추출 실패 | `1` | None | -| \begin{pmatrix}\frac{1}{50}&\frac{7}{50}\frac{7}{50}&\frac{49}{50}\end{pmatrix} | 행렬 추출 실패 | Matrix([[1/50, 7/50], [7/50, 49/50]]) | None | +| \begin{pmatrix}\frac{1}{50}&\frac{7}{50}\\frac{7}{50}&\frac{49}{50}\end{pmatrix} | 행렬 추출 실패 | Matrix([[1/50, 7/50], [7/50, 49/50]]) | None | 마지막으로, 추출된 답과 정답 표현을 비교하는 과정에서도 여러 문제가 발생했습니다: From 143065ce9f87a8049f29fdcc8fa65a56e5e20dc5 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:10:34 +0900 Subject: [PATCH 11/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: Hyeonseo Yun <0525yhs@gmail.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 48c4f75..c4228c0 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -45,7 +45,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 하지만 이러한 기존 방식에는 여러 문제가 있다는 사용자들의 보고가 있었습니다. -가장 반복적으로 나타난 문제는 일부 모델이 예시에서 제시된 답변 형식을 제대로 따르지 못한다는 점입니다. 대신 답변을 소개하는 문장을 함께 출력하는 경우가 있었고, 이 때문에 형식을 지키지 않았다는 이유만으로 실제로는 정답임에도 오답 처리되는 상황이 발생했습니다. +가장 반복적으로 나타난 문제는 일부 모델이 예시에서 제시된 답변 형식을 제대로 따르지 못한다는 점입니다. 대신 답변을 소개하는 문장을 함께 출력하는 경우가 있었고, 이 때문에 실제로는 정답임에도 정해진 형식을 지키지 않았다는 이유만으로 오답 처리되는 경우가 발생했습니다. (이는 “모델이 수학 문제를 얼마나 잘 푸는지”를 정확히 평가하고 싶을 때 큰 문제가 됩니다.) | 📄 예시 | ❗️문제 유형 | ✅ Math-Verify 변환값 | 🛑 기존 리더보드 결과 | From bdd29f05721be3e8db5a8a3e92c77b191897291a Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:10:42 +0900 Subject: [PATCH 12/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: eehyo <112912122+eehyo@users.noreply.github.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index c4228c0..515b62e 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -50,7 +50,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 | 📄 예시 | ❗️문제 유형 | ✅ Math-Verify 변환값 | 🛑 기존 리더보드 결과 | | ------------------------------------------------------------------------------------------------------------------ | ------- | ----------------- | ------------- | -| Therefore, the perimeter of one of these triangles is $14 + 7\sqrt{2}$ inches, expressed in simplest radical form. | 추출 실패 | 7*sqrt(2) + 14 | None | +| Therefore, the perimeter of one of these triangles is $14 + 7\sqrt{2}$ inches, expressed in simplest radical form. | 추출 실패 | `7*sqrt(2) + 14` | None | | Therefore, the sum of the infinite geometric series is (\frac{7}{9}). | 추출 실패 | 7/9 | None | | ( p(n) ) and ( p(n+1) ) share a common factor greater than 1 is (\boxed{41}). | 추출 실패 | 4 | None | | So it’s \frac{1}{9} | 추출 실패 | 1/9 | None | From 8c6d822339390693f238c517ef08bb09e9a41fe1 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:10:52 +0900 Subject: [PATCH 13/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: eehyo <112912122+eehyo@users.noreply.github.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 515b62e..5007532 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -108,7 +108,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 ### MATH-Hard 리더보드 변화 -앞서 언급했듯, 상위 20개 모델 순위는 크게 변동되었으며, Nvidia의 AceMath 모델들이 이제 MATH-Hard 리더보드를 장악하고 있습니다. 특히 Qwen 파생 모델들은 거의 AceMath 바로 아래 대부분의 순위를 차지하고 있습니다. 아래는 기존 및 새로운 상위 20개 모델 리더보드 전체 비교 테이블입니다: +앞서 언급했듯, 상위 20개 모델 순위는 크게 변동되었으며, **Nvidia의 AceMath** 모델들이 이제 MATH-Hard 리더보드를 장악하고 있습니다. 특히 **Qwen** 파생 모델들은 거의 AceMath 바로 아래 대부분의 순위를 차지하고 있습니다. 아래는 기존 및 새로운 상위 20개 모델 리더보드 전체 비교 테이블입니다: ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/math-hard-change.png) From ab26f24fcf24c69635e715a961b6c062f4a42f4d Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:10:59 +0900 Subject: [PATCH 14/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: eehyo <112912122+eehyo@users.noreply.github.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 5007532..9fba068 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -94,7 +94,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/score-change.png) -가장 큰 개선을 보여준 두 개의 서브셋은 모두 대수 관련 영역(Algebra와 Prealgebra)으로, 각각 8.27점과 6.93점의 상승이 있었습니다. 극단적인 경우 일부 모델은 이 영역에서 거의 90점 가까이 향상되기도 했습니다. 우리는 이러한 서브셋이 여러 해답이 존재하는 문제(집합 형태)나 행렬 형식으로 답을 표현하는 문제가 많기 때문에 개선 폭이 컸다고 보고 있습니다. Math-Verify는 이러한 형식의 답변 처리 능력을 크게 향상시켰고, 그 결과 높은 점수 상승으로 이어졌습니다. +가장 큰 개선을 보여준 두 개의 서브셋은 모두 대수 관련 영역(Algebra와 Prealgebra)으로, 각각 **8.27점**과 **6.93점**의 상승이 있었습니다. 극단적인 경우 일부 모델은 이 영역에서 거의 **90점** 가까이 향상되기도 했습니다. 우리는 이러한 서브셋이 여러 해답이 존재하는 문제(집합 형태)나 행렬 형식으로 답을 표현하는 문제가 많기 때문에 개선 폭이 컸다고 보고 있습니다. Math-Verify는 이러한 형식의 답변 처리 능력을 크게 향상시켰고, 그 결과 높은 점수 상승으로 이어졌습니다. ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/subset-change.png) From 9cbe4da4e5b014fa92be67bc6c5a9c40e218b03e Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:11:06 +0900 Subject: [PATCH 15/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: eehyo <112912122+eehyo@users.noreply.github.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 9fba068..0f3525f 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -90,7 +90,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 ### 변화의 영향 -평균적으로 모델들은 기존보다 61문제를 더 맞혔고, 이에 따라 총점 기준으로 4.66점 상승이라는 큰 변화를 기록했습니다! +평균적으로 모델들은 기존보다 **61문제**를 더 맞혔고, 이에 따라 총점 기준으로 **4.66점** 상승이라는 큰 변화를 기록했습니다! ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/blog/math_verify_leaderboard/score-change.png) From cceb2cdb9dfe0996b9cbe09f180221e50b62b448 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:11:16 +0900 Subject: [PATCH 16/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: Ahnjj_DEV --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 0f3525f..46a6317 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -126,4 +126,4 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 Math-Verify의 도입으로 Open LLM Leaderboard의 평가 정확성과 공정성이 크게 향상되었습니다. 덕분에 리더보드가 재편되었고, 많은 모델들이 이전보다 훨씬 정확한 성능을 보여주게 되었습니다. 저희는 모든 개발자와 연구자들에게 자신의 수학 평가에도 Math-Verify를 적용해 볼 것을 적극 권장합니다. 이를 통해 훨씬 신뢰할 수 있는 평가 결과를 얻을 수 있습니다. -또한, 업데이트된 리더보드를 확인하며, 관심 있는 모델이 어떻게 달라졌는지 직접 살펴보시길 바랍니다. \ No newline at end of file +또한, 업데이트된 리더보드를 확인해 관심 있는 모델이 어떻게 달라졌는지 직접 살펴보시길 바랍니다. \ No newline at end of file From 47c971ce5a70593dfb43fdaa85a4e82eda188044 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:11:23 +0900 Subject: [PATCH 17/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: eehyo <112912122+eehyo@users.noreply.github.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 46a6317..a724d1b 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -51,7 +51,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 | 📄 예시 | ❗️문제 유형 | ✅ Math-Verify 변환값 | 🛑 기존 리더보드 결과 | | ------------------------------------------------------------------------------------------------------------------ | ------- | ----------------- | ------------- | | Therefore, the perimeter of one of these triangles is $14 + 7\sqrt{2}$ inches, expressed in simplest radical form. | 추출 실패 | `7*sqrt(2) + 14` | None | -| Therefore, the sum of the infinite geometric series is (\frac{7}{9}). | 추출 실패 | 7/9 | None | +| Therefore, the sum of the infinite geometric series is (\frac{7}{9}). | 추출 실패 | `7/9` | None | | ( p(n) ) and ( p(n+1) ) share a common factor greater than 1 is (\boxed{41}). | 추출 실패 | 4 | None | | So it’s \frac{1}{9} | 추출 실패 | 1/9 | None | | Concluding he has \boxed{5} cars | 추출 실패 | 5 | None | From 64fde24c48e463d4ac28aa888833cbdb7526bfe2 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:11:29 +0900 Subject: [PATCH 18/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: eehyo <112912122+eehyo@users.noreply.github.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index a724d1b..6541a44 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -52,7 +52,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 | ------------------------------------------------------------------------------------------------------------------ | ------- | ----------------- | ------------- | | Therefore, the perimeter of one of these triangles is $14 + 7\sqrt{2}$ inches, expressed in simplest radical form. | 추출 실패 | `7*sqrt(2) + 14` | None | | Therefore, the sum of the infinite geometric series is (\frac{7}{9}). | 추출 실패 | `7/9` | None | -| ( p(n) ) and ( p(n+1) ) share a common factor greater than 1 is (\boxed{41}). | 추출 실패 | 4 | None | +| ( p(n) ) and ( p(n+1) ) share a common factor greater than 1 is (\boxed{41}). | 추출 실패 | `4` | None | | So it’s \frac{1}{9} | 추출 실패 | 1/9 | None | | Concluding he has \boxed{5} cars | 추출 실패 | 5 | None | From aa2f3909245e8792aed6185957059bad3f4a8c71 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:11:36 +0900 Subject: [PATCH 19/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: eehyo <112912122+eehyo@users.noreply.github.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 6541a44..d7ffc2a 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -53,7 +53,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 | Therefore, the perimeter of one of these triangles is $14 + 7\sqrt{2}$ inches, expressed in simplest radical form. | 추출 실패 | `7*sqrt(2) + 14` | None | | Therefore, the sum of the infinite geometric series is (\frac{7}{9}). | 추출 실패 | `7/9` | None | | ( p(n) ) and ( p(n+1) ) share a common factor greater than 1 is (\boxed{41}). | 추출 실패 | `4` | None | -| So it’s \frac{1}{9} | 추출 실패 | 1/9 | None | +| So it’s \frac{1}{9} | 추출 실패 | `1/9` | None | | Concluding he has \boxed{5} cars | 추출 실패 | 5 | None | 다음 단계인 `[ANSWER]`를 기호 표현으로 변환하는 과정에서도 SymPy 파싱과 관련된 다양한 문제가 있었습니다: From b3ed0be5d23ccaffe6a64d27e9d1c04b09410ea7 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:11:42 +0900 Subject: [PATCH 20/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: eehyo <112912122+eehyo@users.noreply.github.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index d7ffc2a..291503b 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -54,7 +54,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 | Therefore, the sum of the infinite geometric series is (\frac{7}{9}). | 추출 실패 | `7/9` | None | | ( p(n) ) and ( p(n+1) ) share a common factor greater than 1 is (\boxed{41}). | 추출 실패 | `4` | None | | So it’s \frac{1}{9} | 추출 실패 | `1/9` | None | -| Concluding he has \boxed{5} cars | 추출 실패 | 5 | None | +| Concluding he has \boxed{5} cars | 추출 실패 | `5` | None | 다음 단계인 `[ANSWER]`를 기호 표현으로 변환하는 과정에서도 SymPy 파싱과 관련된 다양한 문제가 있었습니다: From a5b047f52ab7c4c7045fa14bd96a7748e5d94e17 Mon Sep 17 00:00:00 2001 From: jiminAn Date: Sun, 14 Dec 2025 16:11:49 +0900 Subject: [PATCH 21/21] Update _posts/2025-12-01-math-verify-leaderboard.md Co-authored-by: eehyo <112912122+eehyo@users.noreply.github.com> --- _posts/2025-12-01-math-verify-leaderboard.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-01-math-verify-leaderboard.md b/_posts/2025-12-01-math-verify-leaderboard.md index 291503b..b88c642 100644 --- a/_posts/2025-12-01-math-verify-leaderboard.md +++ b/_posts/2025-12-01-math-verify-leaderboard.md @@ -60,7 +60,7 @@ Open LLM Leaderboard는 Hugging Face Hub에서 가장 많이 활용되는 리더 | 📄 예시 | ❗️문제 유형 | ✅ Math-Verify 변환값 | 🛑 기존 리더보드 | | ------------------------------------------------------------------------------- | ------------------ | ----------------------------------------------------- | ---------- | -| The final answer is $2x + 4y + z - 19 = 0$. I hope it is correct. | 매개변수 방정식 부분 파싱 실패 | Eq(2 x + 4 y + z - 19, 0) | 0 | +| The final answer is $2x + 4y + z - 19 = 0$. I hope it is correct. | 매개변수 방정식 부분 파싱 실패 | Eq(2*x + 4*y + z - 19, 0) | 0 | | (23) | LaTeX 경계 문자로 추출 실패 | `23` | None | | ((- \infty, -14) \cup (-3, \infty)). | 구간 표현 추출 실패 | Union(Interval.open(-oo, -14), Interval.open(-3, oo)) | None | | 100% | 잘못된 기호로 인한 추출 실패 | `1` | None |