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Evolutionary program synthesis systems such as AlphaEvolve, OpenEvolve, and ShinkaEvolve offer a new approach to AI-assisted mathematical discovery. These systems utilize teams of large language models (LLMs) to generate candidate solutions…

Combinatorics · Mathematics 2025-11-27 Davis Brown , Jesse He , Helen Jenne , Henry Kvinge , Max Vargas

We introduce CodeEvolve, an open-source framework that couples large language models with island-based evolutionary search for end-to-end algorithmic discovery. CodeEvolve integrates inspiration-based crossover, meta-prompting, and…

Artificial Intelligence · Computer Science 2026-05-29 Henrique Assumpção , Diego Ferreira , Leandro Campos , Fabricio Murai

Recent advances in large language models (LLMs) have enabled breakthroughs in mathematical discovery, exemplified by AlphaEvolve, a closed-source system that evolves programs to improve bounds on open problems. However, it relies on…

Recent advances in LLM-guided evolutionary computation, particularly AlphaEvolve (Novikov et al., 2025; Georgiev et al., 2025), have demonstrated remarkable success in discovering novel mathematical constructions and solving challenging…

Neural and Evolutionary Computing · Computer Science 2025-11-25 Valentin Khrulkov , Andrey Galichin , Denis Bashkirov , Dmitry Vinichenko , Oleg Travkin , Roman Alferov , Andrey Kuznetsov , Ivan Oseledets

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

In this white paper, we present AlphaEvolve, an evolutionary coding agent that substantially enhances capabilities of state-of-the-art LLMs on highly challenging tasks such as tackling open scientific problems or optimizing critical pieces…

LLM-driven program evolution has emerged as a powerful tool for automated scientific discovery, yet existing frameworks offer no principled guide for designing their individual components and provide no guarantee that the search converges.…

Artificial Intelligence · Computer Science 2026-05-18 Jiachen Jiang , Huminhao Zhu , Zhihui Zhu

Technology mapping is a critical yet challenging stage in logic synthesis. While Large Language Models (LLMs) have been applied to generate optimization scripts, their potential for core algorithm enhancement remains untapped. We introduce…

Computational Engineering, Finance, and Science · Computer Science 2026-04-30 Rongliang Fu , Yi Liu , Qiang Xu , Tsung-Yi Ho

While combining large language models (LLMs) with evolutionary algorithms (EAs) shows promise for solving complex optimization problems, current approaches typically evolve individual solutions, often incurring high LLM call costs. We…

Artificial Intelligence · Computer Science 2025-08-12 Yi Zhai , Zhiqiang Wei , Ruohan Li , Keyu Pan , Shuo Liu , Lu Zhang , Jianmin Ji , Wuyang Zhang , Yu Zhang , Yanyong Zhang

AlphaEvolve (Novikov et al., 2025) is a generic evolutionary coding agent that combines the generative capabilities of LLMs with automated evaluation in an iterative evolutionary framework that proposes, tests, and refines algorithmic…

Neural and Evolutionary Computing · Computer Science 2025-12-23 Bogdan Georgiev , Javier Gómez-Serrano , Terence Tao , Adam Zsolt Wagner

Evolve-based agent such as AlphaEvolve is one of the notable successes in using Large Language Models (LLMs) to build AI Scientists. These agents tackle open-ended scientific problems by iteratively improving and evolving programs,…

Machine Learning · Computer Science 2026-03-31 Yongqiang Chen , Chenxi Liu , Zhenhao Chen , Tongliang Liu , Bo Han , Kun Zhang

Large language models hold promise as scientific assistants, yet existing agents either rely solely on algorithm evolution or on deep research in isolation, both of which face critical limitations. Pure algorithm evolution, as in…

Artificial Intelligence · Computer Science 2025-10-08 Gang Liu , Yihan Zhu , Jie Chen , Meng Jiang

We present CodeEvolve, an evolutionary framework for improving program performance and code quality with Large Language Models (LLMs). CodeEvolve extends OpenEvolve with runtime-guided target selection, Monte Carlo Tree Search (MCTS),…

The transition from static Large Language Models (LLMs) to self-improving agents is hindered by the lack of structured reasoning in traditional evolutionary approaches. Existing methods often struggle with premature convergence and…

Artificial Intelligence · Computer Science 2026-01-01 Chunhui Wan , Xunan Dai , Zhuo Wang , Minglei Li , Yanpeng Wang , Yinan Mao , Yu Lan , Zhiwen Xiao

We show that verifier-free evolution is bottlenecked by both diversity and efficiency: without external correction, repeated evolution accelerates collapse toward narrow modes, while the uniform use of a high-cost model wastes compute and…

LLM-driven program evolution can discover high-quality programs, but its cost and run-to-run variance hinder reliable progress. We propose TurboEvolve, a multi-island evolutionary framework that improves sample efficiency and robustness…

Neural and Evolutionary Computing · Computer Science 2026-04-22 Yang Yang , Zining Zhong , Jindong Li , Jiemin Wu , Kaishen Yuan , Wenshuo Chen , Menglin Yang , Yutao Yue

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

Optimizing scientific computing algorithms for modern GPUs is a labor-intensive and iterative process involving repeated code modification, benchmarking, and tuning across complex hardware and software stacks. Recent work has explored large…

Artificial Intelligence · Computer Science 2026-01-22 Leyi Zhao , Weijie Huang , Yitong Guo , Jiang Bian , Chenghong Wang , Xuhong Zhang

Evolutionary agentic systems intensify the trade-off between computational efficiency and reasoning capability by repeatedly invoking large language models (LLMs) during inference. This setting raises a central question: how can an agent…

Computation and Language · Computer Science 2026-04-27 Pretam Ray , Pratik Prabhanjan Brahma , Zicheng Liu , Emad Barsoum

The discovery of symbolic solutions -- mathematical expressions, logical rules, and algorithmic structures -- is fundamental to advancing scientific and engineering progress. However, traditional methods often struggle with search…

Artificial Intelligence · Computer Science 2025-11-17 Ping Guo , Qingfu Zhang , Xi Lin
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