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Evolution Strategies (ES) have emerged as a scalable gradient-free alternative to reinforcement learning based LLM fine-tuning, but it remains unclear whether comparable task performance implies comparable solutions in parameter space. We…

Machine Learning · Computer Science 2026-04-03 William Hoy , Binxu Wang , Xu Pan

Reinforcement learning (RL) has become a key training step for improving mathematical reasoning in large language models (LLMs), but it often has high GPU memory usage, which makes it hard to use in settings with limited resources. To…

Machine Learning · Computer Science 2026-05-11 Zhishen Sun , Sizhe Dang , Guang Dai , Haishan Ye

Fine-tuning large language models (LLMs) for downstream tasks is an essential stage of modern AI deployment. Reinforcement learning (RL) has emerged as the dominant fine-tuning paradigm, underpinning many state-of-the-art LLMs. In contrast,…

Machine Learning · Computer Science 2026-02-10 Xin Qiu , Yulu Gan , Conor F. Hayes , Qiyao Liang , Yinggan Xu , Roberto Dailey , Elliot Meyerson , Babak Hodjat , Risto Miikkulainen

In recent years, large language models (LLMs) have made remarkable progress, with model optimization primarily relying on gradient-based optimizers such as Adam. However, these gradient-based methods impose stringent hardware requirements,…

Artificial Intelligence · Computer Science 2025-10-24 WenTao Liu , Siyu Song , Hao Hao , Aimin Zhou

Large Language Models (LLMs) exhibit world knowledge and inference capabilities, making them powerful tools for various applications. This paper proposes a feedback loop mechanism that leverages these capabilities to tune Evolution…

Machine Learning · Computer Science 2024-05-21 Oliver Kramer

The machine learning community has witnessed impressive advancements since large language models (LLMs) first appeared. Yet, their massive memory consumption has become a significant roadblock to large-scale training. For instance, a 7B…

Machine Learning · Computer Science 2024-12-30 Rui Pan , Xiang Liu , Shizhe Diao , Renjie Pi , Jipeng Zhang , Chi Han , Tong Zhang

Evolution Strategies (ES) is a class of powerful black-box optimisation methods that are highly parallelisable and can handle non-differentiable and noisy objectives. However, na\"ive ES becomes prohibitively expensive at scale on GPUs due…

This paper introduces an approach that integrates self-adaptive Evolution Strategies (ES) with Large Language Models (LLMs) to enhance the explainability of complex optimization processes. By employing a self-adaptive ES equipped with a…

Neural and Evolutionary Computing · Computer Science 2024-08-06 Jill Baumann , Oliver Kramer

Evolution Strategies (ES) are stochastic derivative-free optimization algorithms whose most prominent representative, the CMA-ES algorithm, is widely used to solve difficult numerical optimization problems. We provide the first rigorous…

Optimization and Control · Mathematics 2022-10-25 Cheikh Touré , Anne Auger , Nikolaus Hansen

Environmental, Social, and Governance (ESG) considerations play a central role in contemporary financial decision-making. In parallel, Large Language Model (LLM) applications in this domain have primarily emphasized well-defined…

Computational Engineering, Finance, and Science · Computer Science 2026-05-01 Gabriel Assis , Ayrton Surica , Pedro Kroll , Gabriela Aires , Darian Rabbani , Edson Bollis , Lucas Pellicer , Aline Paes

Post-Training Quantization (PTQ) is essential for deploying Large Language Models (LLMs) on memory-constrained devices, yet it renders models static and difficult to fine-tune. Standard fine-tuning paradigms, including Reinforcement…

Machine Learning · Computer Science 2026-02-04 Yinggan Xu , Risto Miikkulainen , Xin Qiu

In the evolutionary computing community, the remarkable language-handling capabilities and reasoning power of large language models (LLMs) have significantly enhanced the functionality of evolutionary algorithms (EAs), enabling them to…

Neural and Evolutionary Computing · Computer Science 2025-09-25 Jiao Liu , Zhu Sun , Shanshan Feng , Caishun Chen , Yew-Soon Ong

Fine-tuning Large Language Models (LLMs) has become a crucial technique for adapting pre-trained models to downstream tasks. However, the enormous size of LLMs poses significant challenges in terms of computational complexity and resource…

Computation and Language · Computer Science 2024-10-28 Yifei Zhang , Hao Zhu , Aiwei Liu , Han Yu , Piotr Koniusz , Irwin King

In this work we show that Evolution Strategies (ES) are a viable method for learning non-differentiable parameters of large supervised models. ES are black-box optimization algorithms that estimate distributions of model parameters; however…

Neural and Evolutionary Computing · Computer Science 2019-06-10 Karel Lenc , Erich Elsen , Tom Schaul , Karen Simonyan

Foundation models (FMs) are pre-trained on large-scale datasets and then fine-tuned for a specific downstream task. The most common fine-tuning method is to update pretrained weights via low-rank adaptation (LoRA). Existing initialization…

Machine Learning · Computer Science 2025-10-21 Fabian Paischer , Lukas Hauzenberger , Thomas Schmied , Benedikt Alkin , Marc Peter Deisenroth , Sepp Hochreiter

Large Language Models (LLMs) have transformed both everyday life and scientific research. However, adapting LLMs from general-purpose models to specialized tasks remains challenging, particularly in resource-constrained environments.…

Machine Learning · Computer Science 2025-09-12 Hao Zhang , Bo Huang , Zhenjia Li , Xi Xiao , Hui Yi Leong , Zumeng Zhang , Xinwei Long , Tianyang Wang , Hao Xu

In Large Language Model (LLM) development, Reinforcement Learning from Human Feedback (RLHF) is crucial for aligning models with human values and preferences. RLHF traditionally relies on the Kullback-Leibler (KL) divergence between the…

Machine Learning · Computer Science 2024-11-05 Atoosa Chegini , Hamid Kazemi , Iman Mirzadeh , Dong Yin , Maxwell Horton , Moin Nabi , Mehrdad Farajtabar , Keivan Alizadeh

Sparse portfolio optimization is a fundamental yet challenging problem in quantitative finance, since traditional approaches heavily relying on historical return statistics and static objectives can hardly adapt to dynamic market regimes.…

Portfolio Management · Quantitative Finance 2025-07-24 Haochen Luo , Yuan Zhang , Chen Liu

Despite their widespread use, large language models (LLMs) are known to hallucinate incorrect information and be poorly calibrated. This makes the uncertainty quantification of these models of critical importance, especially in high-stakes…

Machine Learning · Computer Science 2025-06-27 Colin Samplawski , Adam D. Cobb , Manoj Acharya , Ramneet Kaur , Susmit Jha

Reinforcement learning (RL) has become a central component of post-training for large language models (LLMs), particularly for complex reasoning tasks that require stable optimization over long generation horizons. However, achieving…

Machine Learning · Computer Science 2026-02-17 Yuepeng Sheng , Yuwei Huang , Shuman Liu , Anxiang Zeng , Haibo Zhang
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