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Related papers: Mathematical exploration and discovery at scale

200 papers

Combinatorial evolution - the creation of new things through the combination of existing things - can be a powerful way to evolve rather than design technical objects such as electronic circuits. Intriguingly, this seems to be an ongoing…

Software Engineering · Computer Science 2021-11-23 Sebastian Fix , Thomas Probst , Oliver Ruggli , Thomas Hanne , Patrik Christen

Ptychography is a computational imaging technique widely used for high-resolution materials characterization, but high-quality reconstructions often require the use of regularization functions that largely remain manually designed. We…

Computational Engineering, Finance, and Science · Computer Science 2026-03-09 Xiangyu Yin , Ming Du , Junjing Deng , Zhi Yang , Yimo Han , Yi Jiang

Traditional self-adaptive systems automatically reconfigure existing components in response to changing requirements, but provide limited support for the generation of novel functionalities. The software generation capabilities of large…

Software Engineering · Computer Science 2026-04-21 Md Asif Iqbal Fahim , Oluwadamilola Adebayo , Alessio Ferrari

Many applications seek to optimize LLM outputs at test time by iteratively proposing, scoring, and refining candidates over a discrete output space. Existing methods use a calibrated scalar evaluator for the target objective to guide…

Machine Learning · Computer Science 2026-02-27 Sweta Karlekar , Carolina Zheng , Magnus Saebo , Nicolas Beltran-Velez , Shuyang Yu , John Bowlan , Michal Kucer , David Blei

We present a genetic algorithm framework for automatically discovering deep learning optimization algorithms. Our approach encodes optimizers as genomes that specify combinations of primitive update terms (gradient, momentum, RMS…

Neural and Evolutionary Computing · Computer Science 2025-12-16 Mitchell Marfinetz

Large Language Models (LLMs) such as GPT-4 have demonstrated their ability to understand natural language and generate complex code snippets. This paper introduces a novel Large Language Model Evolutionary Algorithm (LLaMEA) framework,…

Neural and Evolutionary Computing · Computer Science 2025-01-31 Niki van Stein , Thomas Bäck

Designing optimization approaches, whether heuristic or meta-heuristic, usually demands extensive manual intervention and has difficulty generalizing across diverse problem domains. The combination of Large Language Models (LLMs) and…

Neural and Evolutionary Computing · Computer Science 2024-10-29 He Yu , Jing Liu

The application of Large Language Models (LLMs) for Automated Algorithm Discovery (AAD), particularly for optimisation heuristics, is an emerging field of research. This emergence necessitates robust, standardised benchmarking practices to…

Software Engineering · Computer Science 2025-04-30 Niki van Stein , Anna V. Kononova , Haoran Yin , Thomas Bäck

Self-evolving reasoning frameworks let LLMs improve their reasoning capabilities by iteratively generating and solving problems without external supervision, using verifiable rewards. Ideally, such systems are expected to explore a diverse…

Machine Learning · Computer Science 2026-03-17 Vaibhav Mishra

Pre-trained large language models (LLMs) exhibit powerful capabilities for generating natural text. Evolutionary algorithms (EAs) can discover diverse solutions to complex real-world problems. Motivated by the common collective and…

Neural and Evolutionary Computing · Computer Science 2025-03-10 Chao Wang , Jiaxuan Zhao , Licheng Jiao , Lingling Li , Fang Liu , Shuyuan Yang

Feature transformation aims to reconstruct the feature space of raw features to enhance the performance of downstream models. However, the exponential growth in the combinations of features and operations poses a challenge, making it…

Machine Learning · Computer Science 2024-12-19 Nanxu Gong , Chandan K. Reddy , Wangyang Ying , Haifeng Chen , Yanjie Fu

Large Language Models (LLMs) have shown remarkable performance in automated code generation. However, existing approaches often rely heavily on pre-defined test cases, which become impractical in scenarios where such cases are unavailable.…

Software Engineering · Computer Science 2025-07-28 Kefan Li , Yuan Yuan , Hongyue Yu , Tingyu Guo , Shijie Cao

Practical optimization problems may contain different kinds of difficulties that are often not tractable if one relies on a particular optimization method. Different optimization approaches offer different strengths that are good at…

Neural and Evolutionary Computing · Computer Science 2024-07-08 Ankur Sinha , Dhaval Pujara , Hemant Kumar Singh

Formula alpha mining, which generates predictive signals from financial data, is critical for quantitative investment. Although various algorithmic approaches-such as genetic programming, reinforcement learning, and large language…

Artificial Intelligence · Computer Science 2025-08-20 Hongjun Ding , Binqi Chen , Jinsheng Huang , Taian Guo , Zhengyang Mao , Guoyi Shao , Lutong Zou , Luchen Liu , Ming Zhang

We provide an open source framework to experiment with evolutionary algorithms which we call "Experimenting and Learning toolkit for Evolutionary Algorithms (ELEA)". ELEA is browser-based and allows to assemble evolutionary algorithms using…

Neural and Evolutionary Computing · Computer Science 2023-02-14 Markus Wagner , Erik Kohlros , Gerome Quantmeyer , Timo Kötzing

Recent advances in foundational models have yielded reasoning systems capable of achieving a gold-medal standard at the International Mathematical Olympiad. The transition from competition-level problem-solving to professional research,…

Automatic algorithm configuration tools such as irace efficiently tune parameter values but leave algorithmic code unchanged. This paper introduces a first version of irace-evo, an extension of irace that integrates code evolution through…

Software Engineering · Computer Science 2025-11-20 Camilo Chacón Sartori , Christian Blum

Large language models (LLMs) have recently shown strong potential for automated program repair (APR), particularly through iterative refinement that generates and improves candidate patches. However, state-of-the-art iterative refinement…

Software Engineering · Computer Science 2026-04-03 Cuong Chi Le , Minh Le-Anh , Cuong Duc Van , Tien N. Nguyen

Making deep learning recommendation model (DLRM) training and inference fast and efficient is important. However, this presents three key system challenges - model architecture diversity, kernel primitive diversity, and hardware generation…

We present AlphaApollo, an agentic reasoning system that targets two bottlenecks in foundation-model reasoning: (1) limited reasoning capacity for complex, long-horizon problem solving and (2) unreliable test-time evolution without…