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Artificial intelligence (AI) has demonstrated impressive progress in mathematical reasoning, yet its integration into the practice of mathematical research remains limited. In this study, we investigate how the AI Mathematician (AIM) system…

Artificial Intelligence · Computer Science 2025-10-31 Yuanhang Liu , Beichen Wang , Peng Li , Yang Liu

AI for Mathematics (AI4Math) has emerged as a distinct field that leverages machine learning to navigate mathematical landscapes historically intractable for early symbolic systems. While mid-20th-century symbolic approaches successfully…

History and Overview · Mathematics 2026-05-05 Haocheng Ju , Bin Dong

Large Reasoning Models (LRMs) have made significant progress in mathematical capabilities in recent times. However, these successes have been primarily confined to competition-level problems. In this work, we propose AI Mathematician (AIM)…

Artificial Intelligence · Computer Science 2025-05-29 Yuanhang Liu , Yanxing Huang , Yanqiao Wang , Peng Li , Yang Liu

The rapid development of artificial intelligence (AI), marked by breakthroughs like 'AlphaEvolve' and 'Gemini Deep Think', is beginning to offer powerful new tools that have the potential to significantly alter the research practice in many…

History and Overview · Mathematics 2025-08-29 Jonas Henkel

AI for Mathematics (AI4Math) is not only intriguing intellectually but also crucial for AI-driven discovery in science, engineering, and beyond. Extensive efforts on AI4Math have mirrored techniques in NLP, in particular, training large…

Artificial Intelligence · Computer Science 2024-12-23 Kaiyu Yang , Gabriel Poesia , Jingxuan He , Wenda Li , Kristin Lauter , Swarat Chaudhuri , Dawn Song

AI tools and agents are reshaping how researchers work, from proving theorems to training neural networks. Yet for many, it remains unclear how these tools fit into everyday research practice. This paper is a practical guide to AI-assisted…

Machine Learning · Computer Science 2026-03-18 Max Zimmer , Nico Pelleriti , Christophe Roux , Sebastian Pokutta

We present the AI Cosmologist, an agentic system designed to automate cosmological/astronomical data analysis and machine learning research workflows. This implements a complete pipeline from idea generation to experimental evaluation and…

Instrumentation and Methods for Astrophysics · Physics 2025-04-07 Adam Moss

We introduce FrontierMath, a benchmark of hundreds of original, exceptionally challenging mathematics problems crafted and vetted by expert mathematicians. The questions cover most major branches of modern mathematics -- from…

Scientific discovery relies on scientists generating novel hypotheses that undergo rigorous experimental validation. To augment this process, we introduce an AI co-scientist, a multi-agent system built on Gemini 2.0. The AI co-scientist is…

This overview article highlights the critical role of mathematics in artificial intelligence (AI), emphasizing that mathematics provides tools to better understand and enhance AI systems. Conversely, AI raises new problems and drives the…

Optimization and Control · Mathematics 2025-01-22 Gabriel Peyré

Recent developments show that AI can prove research-level theorems in mathematics, both formally and informally. This essay urges mathematicians to stay up-to-date with the technology, to consider the ways it will disrupt mathematical…

History and Overview · Mathematics 2026-04-07 Jeremy Avigad

The main drawback of using generative AI models for advanced mathematics is that these models are not primarily logical reasoning engines. However, Large Language Models, and their refinements, can pick up on patterns in higher mathematics…

History and Overview · Mathematics 2025-12-19 Lisa Carbone

This paper presents a comprehensive overview on the applications of artificial intelligence (AI) in mathematical research, highlighting the transformative role AI has begun to play in this domain. Traditionally, AI advancements have heavily…

Artificial Intelligence · Computer Science 2026-02-16 Shizhe Liang , Wei Zhang , Tianyang Zhong , Tianming Liu

Recent advances in AI agents for software engineering and scientific discovery have demonstrated remarkable capabilities, yet their application to developing novel ranking models in commercial search engines remains unexplored. In this…

Information Retrieval · Computer Science 2026-03-25 Liwei Wu , Cho-Jui Hsieh

We study mathematical discovery through the lens of neurosymbolic reasoning, where an AI agent powered by a large language model (LLM), coupled with symbolic computation tools, and human strategic direction, jointly produced a new result in…

Artificial Intelligence · Computer Science 2026-03-10 Hai Xia , Carla P. Gomes , Bart Selman , Stefan Szeider

Artificial intelligence systems for scientific discovery have demonstrated remarkable potential, yet existing approaches remain largely proprietary and operate in batch-processing modes requiring hours per research cycle, precluding…

Artificial Intelligence · Computer Science 2026-01-28 Lukas Weidener , Marko Brkić , Mihailo Jovanović , Ritvik Singh , Chiara Baccin , Emre Ulgac , Alex Dobrin , Aakaash Meduri

Mathematics is one of the most powerful conceptual systems developed and used by the human species. Dreams of automated mathematicians have a storied history in artificial intelligence (AI). Rapid progress in AI, particularly propelled by…

Neurons and Cognition · Quantitative Biology 2023-10-23 Cedegao E. Zhang , Katherine M. Collins , Adrian Weller , Joshua B. Tenenbaum

This book provides a comprehensive and accessible introduction to the emerging field of AI for mathematics. It covers the core principles and diverse applications of using artificial intelligence to advance mathematical research. Through…

Artificial Intelligence · Computer Science 2026-04-14 Xiaoyang Chen , Xiaoyang Chen

We envision "AI scientists" as systems capable of skeptical learning and reasoning that empower biomedical research through collaborative agents that integrate AI models and biomedical tools with experimental platforms. Rather than taking…

Can artificial intelligence truly contribute to creative mathematical research, or does it merely automate routine calculations while introducing risks of error? We provide empirical evidence through a detailed case study: the discovery of…

Artificial Intelligence · Computer Science 2026-04-17 Tan Bui-Thanh
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