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An important recurring pattern in scientific breakthroughs is a two-stage process: an initial phase of undirected experimentation that yields an unexpected finding, followed by a retrospective phase that explains why the finding works and…

Artificial Intelligence · Computer Science 2026-04-08 Zhe Zhao , Haibin Wen , Jiaming Ma , Jiachang Zhan , Tianyi Xu , Ye Wei , Qingfu Zhang

Long-term memory is essential for LLM agents that operate across multiple sessions, yet existing memory systems treat retrieval infrastructure as fixed: stored content evolves while scoring functions, fusion strategies, and…

Machine Learning · Computer Science 2026-05-15 Jiaqi Liu , Xinyu Ye , Peng Xia , Zeyu Zheng , Cihang Xie , Mingyu Ding , Huaxiu Yao

Population Monte Carlo (PMC) sampling methods are powerful tools for approximating distributions of static unknowns given a set of observations. These methods are iterative in nature: at each step they generate samples from a proposal…

Computation · Statistics 2022-01-17 Víctor Elvira , Luca Martino , David Luengo , Mónica F. Bugallo

We develop an Evolutionary Markov Chain Monte Carlo (EMCMC) algorithm for sampling spatial partitions that lie within a large and complex spatial state space. Our algorithm combines the advantages of evolutionary algorithms (EAs) as…

Computation · Statistics 2021-01-19 Wendy K. Tam Cho , Yan Y. Liu

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

Most of Markov Chain Monte Carlo (MCMC) and sequential Monte Carlo (SMC) algorithms in existing probabilistic programming systems suboptimally use only model priors as proposal distributions. In this work, we describe an approach for…

Artificial Intelligence · Computer Science 2016-05-17 Yura N Perov , Tuan Anh Le , Frank Wood

We propose a new framework for how to use sequential Monte Carlo (SMC) algorithms for inference in probabilistic graphical models (PGM). Via a sequential decomposition of the PGM we find a sequence of auxiliary distributions defined on a…

Methodology · Statistics 2014-10-07 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

Competitive program generation aims to automatically produce correct and efficient solutions for programming-contest problems under strict time and memory constraints. Existing LLM-based approaches often fail to perform explicit algorithmic…

Software Engineering · Computer Science 2026-05-05 Minnan Wei , Xiang Chen , Xiaoshuai Niu , Siyu Chen

Frontier model developers aim to train models continually to possess emergent, diverse capabilities. To extend capabilities, the current pre-training and post-training paradigm requires manually starting training runs with static datasets…

Artificial Intelligence · Computer Science 2026-04-17 Andrew Dai , Boris Meinardus , Ciaran Regan , Yingtao Tian , Yujin Tang

Iterative methods for computing matrix functions have been extensively studied and their convergence speed can be significantly improved with the right tuning of parameters and by mixing different iteration types. Handtuning the design…

Machine Learning · Computer Science 2025-07-17 Sungyoon Kim , Rajat Vadiraj Dwaraknath , Longling geng , Mert Pilanci

Large Language Models (LLMs) have achieved remarkable capabilities, yet their improvement methods remain fundamentally constrained by human design. We present Self-Developing, a framework that enables LLMs to autonomously discover,…

Computation and Language · Computer Science 2025-06-11 Yoichi Ishibashi , Taro Yano , Masafumi Oyamada

Resilience is becoming crucial for future wireless networks, which must withstand, adapt to, and recover from rare but potentially cascading disruptions. This paper develops a sequential Monte Carlo (SMC) simulation framework for such…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Onel L. A. López , Amirhossein Azarbahram

Sequential Monte Carlo (SMC) is a methodology for sampling approximately from a sequence of probability distributions of increasing dimension and estimating their normalizing constants. We propose here an alternative methodology named…

Statistics Theory · Mathematics 2012-11-13 Anthony Brockwell , Pierre Del Moral , Arnaud Doucet

In Bayesian phylogenetics, our goal is to estimate the posterior distribution over phylogenetic trees. Markov chain Monte Carlo methods are widely used to approximate the phylogenetic posterior distributions. For large-scale sequence data,…

Methodology · Statistics 2026-05-12 Wentao Yu , Shijia Wang

1. Temporal trends in species distributions are necessary for monitoring changes in biodiversity, which aids policymakers and conservationists in making informed decisions. Dynamic species distribution models are often fitted to ecological…

Applications · Statistics 2024-01-15 Kwaku Peprah Adjei , Rob Cooke , Nick Isaac , Robert B. O'Hara

Large language models (LLMs) have shown potential in assisting scientific research, yet their ability to discover high-quality research hypotheses remains unexamined due to the lack of a dedicated benchmark. To address this gap, we…

Computation and Language · Computer Science 2026-04-21 Yujie Liu , Zonglin Yang , Tong Xie , Jinjie Ni , Ben Gao , Yuqiang Li , Shixiang Tang , Wanli Ouyang , Erik Cambria , Dongzhan Zhou

Sequential Monte Carlo methods, also known as particle methods, are a popular set of techniques for approximating high-dimensional probability distributions and their normalizing constants. These methods have found numerous applications in…

Computation · Statistics 2021-06-23 Jeremy Heng , Adrian N. Bishop , George Deligiannidis , Arnaud Doucet

Modern macroeconometrics often relies on time series models for which it is time-consuming to evaluate the likelihood function. We demonstrate how Bayesian computations for such models can be drastically accelerated by reweighting and…

Econometrics · Economics 2024-09-10 Marko Mlikota , Frank Schorfheide

A basic simulation-based reinforcement learning algorithm is the Monte Carlo Exploring States (MCES) method, also known as optimistic policy iteration, in which the value function is approximated by simulated returns and a greedy policy is…

Optimization and Control · Mathematics 2020-07-22 Jun Liu

Machine learning and deep learning have revolutionized computational physics, particularly the simulation of complex systems. Equivariance is essential for simulating physical systems because it imposes a strong inductive bias on the…

Strongly Correlated Electrons · Physics 2024-11-13 Yuki Nagai , Akio Tomiya