English
Related papers

Related papers: Mathematical exploration and discovery at scale

200 papers

The paradigm of automated program generation is shifting from one-shot generation to inference-time search, where Large Language Models (LLMs) function as semantic mutation operators within evolutionary loops. While effective, these systems…

Neural and Evolutionary Computing · Computer Science 2026-02-24 Mert Cemri , Shubham Agrawal , Akshat Gupta , Shu Liu , Audrey Cheng , Qiuyang Mang , Ashwin Naren , Lutfi Eren Erdogan , Koushik Sen , Matei Zaharia , Alex Dimakis , Ion Stoica

LLM-driven evolutionary systems have shown promise for automated science discovery, yet existing approaches such as AlphaEvolve rely on full-code histories that are context-inefficient and potentially provide weak evolutionary guidance. In…

Artificial Intelligence · Computer Science 2026-02-04 Jiachen Jiang , Tianyu Ding , Zhihui Zhu

The rapid advancement of Large Language Models (LLMs) poses a significant challenge to existing mathematical reasoning benchmarks. However, these benchmarks tend to become easier over time as LLMs can learn from the published benchmarks.…

Artificial Intelligence · Computer Science 2025-10-07 Shengbo Wang , Mingwei Liu , Zike Li , Anji Li , Yanlin Wang , Xin Peng , Zibin Zheng

Large language models (LLMs) have recently shown strong coding abilities, enabling not only static code generation but also iterative code self-evolving through agentic frameworks. Recently, AlphaEvolve \cite{novikov2025alphaevolve}…

Artificial Intelligence · Computer Science 2025-09-10 Cunxi Yu , Rongjian Liang , Chia-Tung Ho , Haoxing Ren

Recent progress in LLM-driven algorithm discovery, exemplified by DeepMind's AlphaEvolve, has produced new best-known solutions for a range of hard geometric and combinatorial problems. This raises a natural question: to what extent can…

Optimization and Control · Mathematics 2026-01-16 Timo Berthold , Dominik Kamp , Gioni Mexi , Sebastian Pokutta , Imre Pólik

Reinforcement learning algorithms are defined by their learning update rules, which are typically hand-designed and fixed. We present an evolutionary framework for discovering reinforcement learning algorithms by searching directly over…

Machine Learning · Computer Science 2026-03-31 Alkis Sygkounas , Amy Loutfi , Andreas Persson

Recent work pairs LLMs with evolutionary search to iteratively generate, modify, and select code using task-specific feedback. These systems have produced strong results in mathematical discovery and algorithm design, yet a fundamental…

Neural and Evolutionary Computing · Computer Science 2026-05-20 Nico Pelleriti , Sree Harsha Nelaturu , Zhanke Zhou , Zongze Li , Max Zimmer , Bo Han , Sebastian Pokutta

The rapid advancement of large language models (LLMs) has transformed the landscape of agentic information seeking capabilities through the integration of tools such as search engines and web browsers. However, current mainstream approaches…

Computation and Language · Computer Science 2025-05-29 Dingchu Zhang , Yida Zhao , Jialong Wu , Baixuan Li , Wenbiao Yin , Liwen Zhang , Yong Jiang , Yufeng Li , Kewei Tu , Pengjun Xie , Fei Huang

We explore the application of LLM-driven algorithm optimization to several common tasks in quantitative finance. MadEvolve, a general-purpose algorithm optimization framework inspired by DeepMind's Alpha-Evolve, was recently developed to…

Trading and Market Microstructure · Quantitative Finance 2026-05-25 Yurii Kvasiuk , Tianyi Li , Owen Colegrove , Moritz Münchmeyer

We introduce ShinkaEvolve: a new open-source framework leveraging large language models (LLMs) to advance scientific discovery with state-of-the-art performance and unprecedented efficiency. Recent advances in scaling inference time compute…

Computation and Language · Computer Science 2025-09-25 Robert Tjarko Lange , Yuki Imajuku , Edoardo Cetin

Large Language Model (LLM)-guided evolutionary search is increasingly used for automated algorithm discovery, yet most current methods track search progress primarily through executable programs and scalar fitness. Even when…

Computation and Language · Computer Science 2026-05-11 Sichun Luo , Yi Huang , Haochen Luo , Fengyuan Liu , Guanzhi Deng , Lei Li , Qinghua Yao , Zefa Hu , Junlan Feng , Qi Liu

Large language models (LLMs) have shown remarkable performance on various tasks, but existing evaluation benchmarks are often static and insufficient to fully assess their robustness and generalization in realistic scenarios. Prior work…

Computation and Language · Computer Science 2025-07-01 JiaRu Wu , Mingwei Liu

Scientific algorithm discovery is iterative: hypotheses are proposed, implemented, stress-tested, and revised. Current LLM-guided search systems accelerate proposal generation, but often under-represent scientific structure by optimizing…

Machine Learning · Computer Science 2026-04-02 Youssef Mroueh , Carlos Fonseca , Brian Belgodere , David Cox

Evolutionary algorithms serve as a powerful paradigm for tackling optimization challenges, yet their reliance on manually engineered heuristics inherently limits their adaptability across diverse landscapes. However, the transition from the…

Neural and Evolutionary Computing · Computer Science 2026-03-04 Jiaxin Gao , Yaohua Liu , Ran Cheng , Kay Chen Tan

Equation discovery is aimed at directly extracting physical laws from data and has emerged as a pivotal research domain. Previous methods based on symbolic mathematics have achieved substantial advancements, but often require the design of…

Machine Learning · Computer Science 2024-07-23 Mengge Du , Yuntian Chen , Zhongzheng Wang , Longfeng Nie , Dongxiao Zhang

Molecular discovery, when formulated as an optimization problem, presents significant computational challenges because optimization objectives can be non-differentiable. Evolutionary Algorithms (EAs), often used to optimize black-box…

LLM-guided evolutionary methods such as AlphaEvolve have proven effective in domains like math, systems research, and algorithmic discovery, but their reliance on frontier models makes each run expensive. We argue this is largely an…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Temoor Tanveer

Artificial intelligence offers powerful new tools for scientific discovery, but the interaction paradigms required to effectively harness these systems remain underexplored. In this paper, we present findings from a formative user study…

Artificial Intelligence · Computer Science 2026-05-08 Alex Bäuerle , Adam Connors , Alexander Novikov , Adam Zsolt Wagner , Ngân Vũ , Fernanda Viegas , Martin Wattenberg , Lucas Dixon

Autonomous agents powered by large language models (LLMs) have the potential to significantly enhance human productivity by reasoning, using tools, and executing complex tasks in diverse environments. However, current approaches to…

We introduce Evolutionary Ensemble (EvE), a decentralized framework that organizes existing, highly capable coding agents into a live, co-evolving system for algorithmic discovery. Rather than reinventing the wheel within the "LLMs as…

Neural and Evolutionary Computing · Computer Science 2026-05-15 Zongmin Yu , Liu Yang