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Attention is a general reasoning mechanism than can flexibly deal with image information, but its memory requirements had made it so far impractical for high resolution image generation. We present Grid Partitioned Attention (GPA), a new…

Computer Vision and Pattern Recognition · Computer Science 2021-07-09 Nikolay Jetchev , Gökhan Yildirim , Christian Bracher , Roland Vollgraf

Sparse principal component analysis (PCA) and sparse canonical correlation analysis (CCA) are two essential techniques from high-dimensional statistics and machine learning for analyzing large-scale data. Both problems can be formulated as…

Machine Learning · Statistics 2019-03-28 Shixiang Chen , Shiqian Ma , Lingzhou Xue , Hui Zou

In recent years, many test case prioritization (TCP) techniques have been proposed to speed up the process of fault detection. However, little work has taken the efficiency problem of these techniques into account. In this paper, we target…

Software Engineering · Computer Science 2022-05-23 Feng Li , Jianyi Zhou , Yinzhu Li , Dan Hao , Lu Zhang

Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms…

Methodology · Statistics 2012-12-10 D. J. Nott , Y. Fan , L. Marshall , S. A. Sisson

In Social Robot Navigation, autonomous agents need to resolve many sequential interactions with other agents. State-of-the art planners can efficiently resolve the next, imminent interaction cooperatively and do not focus on longer planning…

Independent Component Analysis (ICA) is a dimensionality reduction technique that can boost efficiency of machine learning models that deal with probability density functions, e.g. Bayesian neural networks. Algorithms that implement…

Machine Learning · Computer Science 2017-07-10 Mahdi Nazemi , Shahin Nazarian , Massoud Pedram

In this paper, we propose a proximal stochasitc gradient algorithm (PSGA) for solving composite optimization problems by incorporating variance reduction techniques and an adaptive step-size strategy. In the PSGA method, the objective…

Optimization and Control · Mathematics 2026-04-06 Changjie Fang , Hao Yang , Shenglan Chen

Our goal is to evaluate the accuracy of a black-box classification model, not as a single aggregate on a given test data distribution, but as a surface over a large number of combinations of attributes characterizing multiple test data…

Machine Learning · Computer Science 2021-10-27 Vihari Piratla , Soumen Chakrabarty , Sunita Sarawagi

The Improved Partial Area-Analytical Calculation (IPA-AC) method represents a leading meshfree discretization strategy for peridynamic models, distinguished by its rigorous geometric treatment of boundary intersections via dual corrections…

Numerical Analysis · Mathematics 2026-03-20 Xiuzhu Yang , Xiaobo Yin

Constraint Programming (CP) has been successfully applied to both constraint satisfaction and constraint optimization problems. A wide variety of specialized global constraints provide critical assistance in achieving a good model that can…

Artificial Intelligence · Computer Science 2007-05-23 Peter Tiedemann , Henrik Reif Andersen , Rasmus Pagh

Much recent research effort has been directed to the development of efficient algorithms for solving minimax problems with theoretical convergence guarantees due to the relevance of these problems to a few emergent applications. In this…

Optimization and Control · Mathematics 2023-01-18 Zi Xu , Huiling Zhang , Yang Xu , Guanghui Lan

Earlier versions proposed Graded Projection Recursion (GPR) as a deterministic packed-recursion framework for model-honest near-quadratic dense matrix multiplication. This revised version withdraws the exact dense matrix multiplication…

Computational Complexity · Computer Science 2026-05-12 Jeffrey Uhlmann

This paper presents an accelerated composite gradient (ACG) variant, referred to as the AC-ACG method, for solving nonconvex smooth composite minimization problems. As opposed to well-known ACG variants that are either based on a known…

Optimization and Control · Mathematics 2020-10-30 Jiaming Liang , Renato D. C. Monteiro

Robust federated learning aims to maintain reliable performance despite the presence of adversarial or misbehaving workers. While state-of-the-art (SOTA) robust distributed gradient descent (Robust-DGD) methods were proven theoretically…

Machine Learning · Computer Science 2025-05-12 Youssef Allouah , Rachid Guerraoui , Nirupam Gupta , Ahmed Jellouli , Geovani Rizk , John Stephan

Approximate Bayesian computation methods are useful for generative models with intractable likelihoods. These methods are however sensitive to the dimension of the parameter space, requiring exponentially increasing resources as this…

Computation · Statistics 2026-02-09 Grégoire Clarté , Christian P. Robert , Robin Ryder , Julien Stoehr

In this paper, we address the challenge of Markov Chain Monte Carlo (MCMC) algorithms within the approximate Bayesian Computation (ABC) framework, which often get trapped in local optima due to their inherent local exploration mechanism. We…

Computation · Statistics 2025-12-16 Xuefei Cao , Shijia Wang , Yongdao Zhou

The combinatorial integral approximation (CIA) is a solution technique for integer optimal control problems. In order to regularize the solutions produced by CIA, one can minimize switching costs in one of its algorithmic steps. This leads…

Optimization and Control · Mathematics 2023-05-23 Felix Bestehorn , Christoph Hansknecht , Christian Kirches , Paul Manns

The multiplication of matrices is an important arithmetic operation in computational mathematics. In the context of hierarchical matrices, this operation can be realized by the multiplication of structured block-wise low-rank matrices,…

Numerical Analysis · Mathematics 2018-05-24 Jürgen Dölz , Helmut Harbrecht , Michael D. Multerer

We propose an end-to-end trainable framework that processes large-scale visual data tensors by looking at a fraction of their entries only. Our method combines a neural network encoder with a tensor train decomposition to learn a low-rank…

Computer Vision and Pattern Recognition · Computer Science 2021-11-15 Mikhail Usvyatsov , Anastasia Makarova , Rafael Ballester-Ripoll , Maxim Rakhuba , Andreas Krause , Konrad Schindler

Gaussian and quadratic approximations of message passing algorithms on graphs have attracted considerable recent attention due to their computational simplicity, analytic tractability, and wide applicability in optimization and statistical…

Information Theory · Computer Science 2026-03-12 Sundeep Rangan , Alyson K. Fletcher , Vivek K. Goyal , Evan Byrne , Philip Schniter