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By relaxing conditions for natural structure learning algorithms, a family of constraint-based algorithms containing all exact structure learning algorithms under the faithfulness assumption, we define localised natural structure learning…

Methodology · Statistics 2024-05-28 Kai Z Teh , Kayvan Sadeghi , Terry Soo

Large Language Models (LLMs) demonstrate impressive ability in handling reasoning tasks. However, unlike humans who can instinctively adapt their problem-solving strategies to the complexity of task, most LLM-based methods adopt a…

Computation and Language · Computer Science 2024-12-24 Jianpeng Zhou , Wanjun Zhong , Yanlin Wang , Jiahai Wang

We provide a new proof of the linear convergence of the alternating direction method of multipliers (ADMM) when one of the objective terms is strongly convex. Our proof is based on a framework for analyzing optimization algorithms…

Optimization and Control · Mathematics 2015-05-20 Robert Nishihara , Laurent Lessard , Benjamin Recht , Andrew Packard , Michael I. Jordan

In real-world optimization scenarios, the problem instance that we are asked to solve may change during the optimization process, e.g., when new information becomes available or when the environmental conditions change. In such situations,…

Neural and Evolutionary Computing · Computer Science 2022-09-12 Nina Bulanova , Arina Buzdalova , Carola Doerr

It is a well known fact that sequential algorithms which exhibit a strong "local" nature can be adapted to the distributed setting given a legal graph coloring. The running time of the distributed algorithm will then be at least the number…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Ken-ichi Kawarabayashi , Gregory Schwartzman

Incorporating auxiliary information alongside primary data can significantly enhance the accuracy of simultaneous inference. However, existing multiple testing methods face challenges in efficiently incorporating complex side information,…

Methodology · Statistics 2025-02-11 Ziyi Liang , T. Tony Cai , Wenguang Sun , Yin Xia

Large Language Models (LLMs) have revolutionized various domains, including natural language processing, data analysis, and software development, by enabling automation. In software engineering, LLM-powered coding agents have garnered…

Computation and Language · Computer Science 2025-03-19 Vaibhav Aggarwal , Ojasv Kamal , Abhinav Japesh , Zhijing Jin , Bernhard Schölkopf

Reinforcement Learning (RL) has made significant strides in enabling artificial agents to learn diverse behaviors. However, learning an effective policy often requires a large number of environment interactions. To mitigate sample…

Artificial Intelligence · Computer Science 2024-04-04 Yash Shukla , Tanushree Burman , Abhishek Kulkarni , Robert Wright , Alvaro Velasquez , Jivko Sinapov

Local Search is one of the fundamental approaches to combinatorial optimization and it is used throughout AI. Several local search algorithms are based on searching the k-exchange neighborhood. This is the set of solutions that can be…

Data Structures and Algorithms · Computer Science 2012-08-20 Serge Gaspers , Eun Jung Kim , Sebastian Ordyniak , Saket Saurabh , Stefan Szeider

Dynamic Optimization Problems (DOPs) are challenging to address due to their complex nature, i.e., dynamic environment variation. Evolutionary Computation methods are generally advantaged in solving DOPs since they resemble dynamic…

Neural and Evolutionary Computing · Computer Science 2026-02-02 Zijian Gao , Yuanting Zhong , Zeyuan Ma , Yue-Jiao Gong , Hongshu Guo

Recent medical image reconstruction techniques focus on generating high-quality medical images suitable for clinical use at the lowest possible cost and with the fewest possible adverse effects on patients. Recent works have shown…

Image and Video Processing · Electrical Eng. & Systems 2025-01-07 Shijun Liang , Anish Lahiri , Saiprasad Ravishankar

Iteration complexities for optimizing smooth functions with first-order algorithms are typically stated in terms of a global Lipschitz constant of the gradient, and near-optimal results are then achieved using fixed step sizes. But many…

Optimization and Control · Mathematics 2026-05-19 Curtis Fox , Aaron Mishkin , Sharan Vaswani , Mark Schmidt

The need for fast sparse optimization is emerging, e.g., to deal with large-dimensional data-driven problems and to track time-varying systems. In the framework of linear sparse optimization, the iterative shrinkage-thresholding algorithm…

Optimization and Control · Mathematics 2025-01-22 Vito Cerone , Sophie M. Fosson , Diego Regruto

Adversarial behavior plays a central role in aligning large language models with human values. However, existing alignment methods largely rely on static adversarial settings, which fundamentally limit robustness, particularly in multimodal…

Cryptography and Security · Computer Science 2026-03-03 Guoxin Shi , Haoyu Wang , Zaihui Yang , Yuxing Wang , Yongzhe Chang

We propose and analyze a self-adaptive version of the $(1,\lambda)$ evolutionary algorithm in which the current mutation rate is part of the individual and thus also subject to mutation. A rigorous runtime analysis on the OneMax benchmark…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Benjamin Doerr , Carsten Witt , Jing Yang

We study unconstrained smooth convex optimization under stochastic first- and zeroth-order oracles subject only to finite-moment bounds, naturally admitting persistent bias and heavy-tailed noise. In this hostile environment, integrating…

Optimization and Control · Mathematics 2026-04-20 Shunzhi Zhang , Shichen Liao , Congying Han , Tiande Guo

Algorithms for learning decision trees often include heuristic local-search operations such as (1) adjusting the threshold of a cut or (2) also exchanging the feature of that cut. We study minimizing the number of classification errors by…

Machine Learning · Computer Science 2025-10-15 Juha Harviainen , Frank Sommer , Manuel Sorge

We present a framework for performing efficient regression in general metric spaces. Roughly speaking, our regressor predicts the value at a new point by computing a Lipschitz extension --- the smoothest function consistent with the…

Machine Learning · Computer Science 2017-04-25 Lee-Ad Gottlieb , Aryeh Kontorovich , Robert Krauthgamer

Dense retrieval systems increasingly need to handle complex queries. In many realistic settings, users express intent through long instructions or task-specific descriptions, while target documents remain relatively simple and static. This…

Information Retrieval · Computer Science 2026-04-07 Seiji Maekawa , Moin Aminnaseri , Pouya Pezeshkpour , Estevam Hruschka

Stochastic policies (also known as relaxed controls) are widely used in continuous-time reinforcement learning algorithms. However, executing a stochastic policy and evaluating its performance in a continuous-time environment remain open…

Machine Learning · Computer Science 2025-10-03 Yanwei Jia , Du Ouyang , Yufei Zhang