Anthropic Research 5 min

Claude-shaped science

🔗 https://www.anthropic.com/research/claude-shaped-science

📌 【Anthropic 客座文章】放棄跟 Claude 爭論,物理學家反而挖到跨領域金礦

TL;DR:物理學家 Matthew Schwartz 打造開源工具 BootLoops,讓 Claude 找出跨領域都適用的「Claude 型」計算問題。

AI 做科學的新聞標題總是很誘人,但多數學術研究者真正動手用模型時,卻常常感到一種落差:模型很聰明,可是離「像人類科學家一樣工作」還差得遠。這篇 Anthropic 客座文章,就是一位物理學家正面迎擊這個落差之後的紀錄。

🤔 人類科學家與 LLM 之間的「阻抗不匹配」

作者 Matthew Schwartz 指出,目前的 LLM 擅長的事情,和科學家實際需要的工作方式並不吻合,他借用物理學的概念稱之為「impedance mismatch」:兩個系統各自運作良好,但彼此銜接不良,導致大部分輸入的東西傳不過去。多數媒體報導的 AI 科學突破集中在數學領域,因為那裡的問題可以被完整陳述、答案也能被絕對驗證,但這不是科學研究的常態。他去年底曾讓 Claude Opus 4.5 擔任研究助理,發現它表現得像一位速度快 20 倍的優秀研究生,但過程很辛苦,他必須逐句修改、把它從無關的方向拉回來、從死胡同中拽出來。

🧩 不再硬逼 Claude 當合作者,而是找「Claude 型」問題

這次作者換了做法:不把 Claude 當成他想要的那種合作者,而是去找真正適合 Claude 能力的問題。他鎖定的切入點是散射振幅(scattering amplitudes)計算,這是解讀大型強子對撞機(LHC)數據的理論工具,核心是一種被稱為 Feynman 圖的多維積分,難度高到一個積分可能就是一篇博士論文的份量。過去 20 年間,學界發展出「S-matrix bootstrap」方法:不直接硬算積分,而是用物理約束條件不斷縮小可能答案的範圍(例如先用奇異點把選項縮到 2 萬個、再用對稱性縮到 500 個,一路收斂到唯一解)。更新的「半數值化 bootstrap」則是搭配極高精度(甚至上千位數)的數值計算,在約束不足以完全收斂時,用數字把剩下的係數精確釘死。作者認為這類問題特別適合 agentic AI:需要橫跨數學、物理、程式設計等多領域知識,需要大量寫程式與演算法開發,而且結果可以用兩支腳本互相驗證,門檻低到不管是不是專家都能檢查答案。

於是作者交給 Claude Fable 5 的第一個任務,是把散射振幅領域中分散在 Wolfram Language、C++、Python、Julia,甚至只存在論文裡(完全沒有程式碼)的方法,統一移植到同一套框架,這個過程逐漸發展成一套工具組,作者稱之為 BootLoops,其定位類似 Claude Code、Claude Science 之於 Claude,或是 Codex 之於 GPT 的「harness(任務框架)」。BootLoops 已經開源,可以搭配任何模型使用。

📊 20 分鐘重現了作者花數週寫出的程式

作者提到,Claude 用 BootLoops 在約 20 分鐘內重現了他自己論文中的計算結果,而他當初寫那段程式碼卻花了數週。更出乎意料的是,Claude 還主動指出他原本的做法效率不佳,並提出一個他自己並不知道的更好演算法。不過,當作者請 Claude 去尋找 S-matrix bootstrap 能解開的「未解」振幅問題時,卻發現:凡是簡單到這個方法能處理的問題,也簡單到人類早就做過了,也就是說大多數都已經被解決。

💡 跨領域的「Claude 型問題」:連結到生態學、族群遺傳學等領域

作者指出,一旦 Claude 擁有了 BootLoops,它持續發現同一種模式:許多領域其實存在一個數學、物理或電腦科學上的既有技巧就能徹底解決的問題,只是該領域沒有人知道這個技巧存在。作者把這類問題稱為「Claude-shaped problems」,並把搜尋範圍從自己熟悉的高能理論物理,延伸到地質學、生物學、經濟學與語言學等領域。由於作者在這些領域沒有專業背景,他找了各領域的專家來判斷 Claude 找到的連結是否真的有意義,結果不少連結最初雖然技術上正確,但在科學上並不特別,於是他與領域專家合作,引導 BootLoops 去回答那些該領域真正關心的問題。

⚠️ AI 擅長的和科學家需要的,仍有落差

作者坦言,目前的 Claude 仍無法處理深層的概念性問題,也不是嚴格意義上的「科學家」;它需要被引導去找到適合自己能力的問題,而非被要求像人類研究者一樣思考。同時,絕大多數科學問題並不像數學那樣可以被完整陳述並絕對驗證,這正是目前 agentic AI 在科學應用上普遍存在的侷限。

🎯 實務啟示

這篇文章給做 AI 應用的工程師一個很實際的提醒:與其硬逼模型扮演它不擅長的角色,不如反過來盤點它真正擅長的能力組合(例如跨領域知識廣度、程式能力、處理機械式但高複雜度的計算),然後去尋找剛好吻合這組能力的問題。BootLoops 的經驗也顯示,讓模型自由探索、再由領域專家把關篩選方向,可能是目前人機協作科學研究較務實的模式。

🔗 來源

#Anthropic #Claude #AIforScience #ScatteringAmplitudes #Bootstrap #AgenticAI #OpenSource #ScientificComputing #PhysicsResearch #LLM

原始資料 Anthropic Research · 收集於 2026-10-01
來源原標題
Claude-shaped science
機構
Anthropic
原始標籤
Research
原始連結
https://www.anthropic.com/research/claude-shaped-science

摘要原文

Science Claude-shaped science Oct 1, 2026 Summary: In this guest post, Prof. Matthew Schwartz returns to describe a new approach to AI-accelerated science. In Vibe Physics , Schwartz discussed similarities in capability between Claude and a physics graduate student. Here, he describes what happened when he stopped fighting Claude and allowed Claude to find “Claude-shaped” problems: ones best suited to the capabilities of the current generation of LLM tools. This led him to build BootLoops, a toolkit for exact calculations in quantitative science. Because similar calculations often turn up across very disparate areas of science, Claude found connections to ecology, population genetics, and a dozen other fields. These connections were often technically correct but scientifically unremarkable at first, so Schwartz worked with domain experts to steer BootLoops toward questions those fields care about. Below, we share more about these projects and how BootLoops came about. Agentic AI is improving rapidly. Everyone notices the models seem smarter: they know more, make fewer mistakes, and have better ideas. If you follow the trend lines, it is easy to speak confidently about the potential of AI to revolutionize science. However, academic scientists trying to use the models today in their own work often feel a disconnect. The models may be solving challenging and longstanding problems , but so far these have mostly been well-scoped applications of existing techniques. Many of the headlines seem to be in mathematics, the one part of science where a problem can be stated completely and an answer checked absolutely. But most of science is not like that. And for many of us researchers and students, the distance between those headlines and what happens when we use these models can leave us frustrated and anxious. The core conflict, as I see it, is that although these models are brilliant, working like a human scientist is not what current LLMs do best. Claude and GPT are good at science, but they are not scientists : yes, they are smart, but it can take a lot of hand-holding to get them to produce anything of scientific value. Physicists would call this an “impedance mismatch”: two systems that each work fine but are poorly matched, so most of what one puts in never gets through to the other. Here, the mismatch is between what scientists want and what AI does well. So how can we fix it? I started looking for examples where the impedance mismatches are less acute. I began by having Claude build an accessible suite of tools for mathematical physics. Before long, the tools found uses for other problems. This iterative process generated a set of software and scientific protocols, which I call BootLoops. BootLoops functions as a kind of harness for the LLM, much like Claude Code or Claude Science is a harness for Claude, or Codex is a harness for GPT. I’ve found BootLoops especially well-suited for a class of quantitative problems in science. It is also open-source, so it can be used with whatever model you like. The current generation of AI tools is not capable of solving most problems in science. However, they are astonishingly good at certain “agentic-AI-shaped” problems. Once Claude had BootLoops, it kept noticing the same pattern: many fields have problems that a technique from mathematics, physics, or computer science would solve outright if anyone knew it existed. I started calling these “Claude-shaped” problems, and followed them outside high-energy theoretical physics—my home turf—into geology, biology, economics, and linguistics. In these other areas, I could not rely on my own expertise to know whether what Claude found was interesting. So I found some experts and asked. With their guidance, BootLoops was able to make substantive advances in many research areas. Below, I share how BootLoops came about, describe some early findings in areas where I have been applying it, and share some of my thinking on how to resolve the impedance mismatch between human and AI scientists today. Claude, take the wheel! Last December, I tried using Claude as a research assistant , and found that Claude Opus 4.5 performed like a strong graduate student at 20 times the speed. Despite Claude producing a high-quality paper at the end of the experiment, it was a slog to get there. I had to correct every sentence it wrote, steer it away from irrelevant threads, and pull it back from dead ends. This summer, I tried doing something different: instead of treating Claude like the collaborator I wanted it to be, I started to treat it like the collaborator it actually is. This required looking for problems suited to its strengths. Right now, Claude is just not able to help me with deep conceptual questions—but it does have a virtually unlimited breadth of knowledge across all domains, incredible coding skills, leading-edge knowledge of mathematics and statistics, and the ability to parse papers, appendices, and data at machine speed. A natural place to start looking for Claude-shaped problems was in areas where coding could help. When Anthropic released Claude Fable 5 in Summer 2026, I wanted to see whether its cyber capabilities would translate to scientific computing. So I sought to test it by having it port, code up, and improve various methods from a handful of my papers and the adjacent literature on scattering amplitudes. Scattering amplitudes are how we interpret data from the Large Hadron Collider: smash two protons at 13 trillion electron volts, and the amplitude is the theoretical bridge between the debris and whatever new particle, a Higgs boson or something unknown, the collision produced. At their core are Feynman diagrams, multidimensional integrals of a particular form. The ones we are struggling with now can each be a PhD thesis, or occupy a group for years. Over the past 20 years an alternative has grown up: the S-matrix bootstrap. In the bootstrap approach, instead of grinding out the integral, you impose physical constraints until only one answer is possible. Knowing where the amplitude is infinite (its “singularities”) might narrow it to 20,000 options; a symmetry cuts that to 500; and so on down to one. The traditional bootstrap is purely analytic and has gone furthest in the most symmetric theories, where the constraints reach all the way to a single option (the nine-loop amplitude in N=4 super-Yang–Mills is an example). Closer to the real world you often run out of constraints before the end. A newer pivot , the semi-numerical bootstrap, closes the gap when you can also compute the amplitude at a handful of points to absurd precision (sometimes 1,000 digits): if few enough options remain, those numbers pin down the remaining coefficients exactly. The semi-numerical bootstrap seemed ideal for agentic AI. It draws on mathematics, physics, and computer science that no one person has mastered; it needs a great deal of coding and algorithm development; and it is checkable, since the same numerics let anyone, expert or not, verify the final answer against the integral to as many digits as they like by running two scripts. The community's expertise is also unevenly distributed: good ideas sit in Wolfram Language, C++, Python, or Julia, and many more sit in papers with no code at all. So my first assignment for Fable 5 was to port all of it to a common framework, and to write the code the papers never provided. Claude did this effortlessly. I was surprised when it reproduced the results from my paper in around 20 minutes, while the code I wrote to do it took me weeks. However, I was not surprised when it informed me that I was doing something very inefficiently and that there was a better algorithm I was unaware of. Then, I asked Claude to search for unsolved amplitudes it could compute. It turns out that problems that are simple enough for the S-matrix bootstrap are also simple enough for humans to do—and, indeed, most have been done.

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