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Diffusion models (DMs) have proven to be effective in modeling high-dimensional distributions, leading to their widespread adoption for representing complex priors in Bayesian inverse problems (BIPs). However, current DM-based posterior…

机器学习 · 计算机科学 2025-06-06 Haoxuan Chen , Yinuo Ren , Martin Renqiang Min , Lexing Ying , Zachary Izzo

Subspace clustering methods based on $\ell_1$, $\ell_2$ or nuclear norm regularization have become very popular due to their simplicity, theoretical guarantees and empirical success. However, the choice of the regularizer can greatly impact…

计算机视觉与模式识别 · 计算机科学 2016-05-09 Chong You , Daniel P. Robinson , Rene Vidal

The Maximally Diverse Grouping Problem (MDGP) is the problem of assigning a set of elements to mutually disjoint groups in order to maximise the overall diversity between the elements. Because the MDGP is NP-complete, most studies have…

最优化与控制 · 数学 2024-10-14 Kevin Fu Yuan Lam , Jiang Qian

Tensor networks are a tool first employed in the context of many-body quantum physics that now have a wide range of uses across the computational sciences, from numerical methods to machine learning. Methods integrating tensor networks into…

机器学习 · 计算机科学 2026-04-27 John Gardiner , Javier Lopez-Piqueres

In this paper, we are concerned with a branch of evolutionary algorithms termed estimation of distribution (EDA), which has been successfully used to tackle derivative-free global optimization problems. For existent EDA algorithms, it is a…

神经与进化计算 · 计算机科学 2016-11-29 Bin Liu , Shi Cheng , Yuhui Shi

Evolutionarily stable strategy (ESS) is an important solution concept in game theory which has been applied frequently to biological models. Informally an ESS is a strategy that if followed by the population cannot be taken over by a…

计算机科学与博弈论 · 计算机科学 2019-01-18 Sam Ganzfried

Motivated by recently discovered relations between logarithmically correlated Gaussian processes and characteristic polynomials of large random $N \times N$ matrices $H$ from the Gaussian Unitary Ensemble (GUE), we consider the problem of…

数学物理 · 物理学 2016-09-28 Yan V. Fyodorov , Nicholas J. Simm

Convolutional Neural Networks(CNN) are inherently equivariant under translations, however, they do not have an equivalent embedded mechanism to handle other transformations such as rotations and change in scale. Several approaches exist…

计算机视觉与模式识别 · 计算机科学 2021-11-30 Naman Khetan , Tushar Arora , Samee Ur Rehman , Deepak K. Gupta

Querying uncertain data sets (represented as probability distributions) presents many challenges due to the large amount of data involved and the difficulties comparing uncertainty between distributions. The Earth Mover's Distance (EMD) has…

数据库 · 计算机科学 2011-12-01 Brian E. Ruttenberg , Ambuj K. Singh

In this paper we revisit random linear under-determined systems with sparse solutions. We consider $\ell_1$ optimization heuristic known to work very well when used to solve these systems. A collection of fundamental results that relate to…

最优化与控制 · 数学 2016-12-20 Mihailo Stojnic

Estimation-of-distribution algorithms (EDAs) are randomized search heuristics that create a probabilistic model of the solution space, which is updated iteratively, based on the quality of the solutions sampled according to the model. As…

神经与进化计算 · 计算机科学 2020-12-23 Benjamin Doerr , Martin Krejca

Domain generalization aims to learn invariance across multiple training domains, thereby enhancing generalization against out-of-distribution data. While gradient or representation matching algorithms have achieved remarkable success, these…

机器学习 · 计算机科学 2024-06-17 Yuxin Dong , Tieliang Gong , Hong Chen , Shuangyong Song , Weizhan Zhang , Chen Li

Dimension reduction algorithms are a crucial part of many data science pipelines, including data exploration, feature creation and selection, and denoising. Despite their wide utilization, many non-linear dimension reduction algorithms are…

机器学习 · 统计学 2024-08-06 Ryan Murray , Adam Pickarski

We study the problem of bounding the posterior distribution of discrete probabilistic programs with unbounded support, loops, and conditioning. Loops pose the main difficulty in this setting: even if exact Bayesian inference is possible,…

编程语言 · 计算机科学 2024-12-06 Fabian Zaiser , Andrzej S. Murawski , C. -H. Luke Ong

An evolution strategy (ES) variant based on a simplification of a natural evolution strategy recently attracted attention because it performs surprisingly well in challenging deep reinforcement learning domains. It searches for neural…

神经与进化计算 · 计算机科学 2018-05-03 Joel Lehman , Jay Chen , Jeff Clune , Kenneth O. Stanley

Error-Correcting Output Codes (ECOCs) offer a principled approach for combining simple binary classifiers into multiclass classifiers. In this paper, we investigate the problem of designing optimal ECOCs to achieve both nominal and…

机器学习 · 计算机科学 2020-11-03 Samarth Gupta , Saurabh Amin

Out-of-distribution (OOD) generalization has long been a challenging problem that remains largely unsolved. Gaussian processes (GP), as popular probabilistic model classes, especially in the small data regime, presume strong OOD…

机器学习 · 计算机科学 2023-12-19 Xilong Zhao , Siyuan Bian , Yaoyun Zhang , Yuliang Zhang , Qinying Gu , Xinbing Wang , Chenghu Zhou , Nanyang Ye

Estimation of distribution algorithms (EDAs) constitute a new branch of evolutionary optimization algorithms, providing effective and efficient optimization performance in a variety of research areas. Recent studies have proposed new EDAs…

神经与进化计算 · 计算机科学 2024-07-29 Dae-Won Kim , Song Ko , Bo-Yeong Kang

Several mating restriction techniques have been implemented in Evolutionary Algorithms to promote diversity. From similarity-based selection to niche preservation, the general goal is to avoid premature convergence by not having fitness…

神经与进化计算 · 计算机科学 2025-04-09 José Maria Simões , Nuno Lourenço , Penousal Machado

In recent years, there has been an increasing demand on efficient algorithms for large scale change point detection problems. To this end, we propose seeded binary segmentation, an approach relying on a deterministic construction of…

统计方法学 · 统计学 2023-03-13 Solt Kovács , Housen Li , Peter Bühlmann , Axel Munk