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Combining satellite imagery with machine learning (SIML) has the potential to address global challenges by remotely estimating socioeconomic and environmental conditions in data-poor regions, yet the resource requirements of SIML limit its…

Matrix factorization learned by implicit alternating least squares (iALS) is a popular baseline in recommender system research publications. iALS is known to be one of the most computationally efficient and scalable collaborative filtering…

Information Retrieval · Computer Science 2021-10-28 Steffen Rendle , Walid Krichene , Li Zhang , Yehuda Koren

This paper studies the problem of Simultaneous Sparse Approximation (SSA). This problem arises in many applications which work with multiple signals maintaining some degree of dependency such as radar and sensor networks. In this paper, we…

Information Theory · Computer Science 2023-04-04 Sahar Sadrizadeh , Shahrzad Kiani , Mahdi Boloursaz , Farokh Marvasti

Medical image analysis faces two critical challenges: scarcity of labeled data and lack of model interpretability, both hindering clinical AI deployment. Few-shot learning (FSL) addresses data limitations but lacks transparency in…

Image and Video Processing · Electrical Eng. & Systems 2026-01-07 Longwei Wang , Ifrat Ikhtear Uddin , KC Santosh

The proximal point algorithm is a widely used tool for solving a variety of convex optimization problems such as finding zeros of maximally monotone operators, fixed points of nonexpansive mappings, as well as minimizing convex functions.…

Optimization and Control · Mathematics 2018-04-19 Laurentiu Leustean , Adriana Nicolae , Andrei Sipos

Large-scale constrained optimization is pivotal in modern scientific, engineering, and industrial computation, often involving complex systems with numerous variables and constraints. This paper provides a unified and comprehensive…

Optimization and Control · Mathematics 2025-10-21 Kangkang Deng , Rui Wang , Zhenyuan Zhu , Junyu Zhang , Zaiwen Wen

Non-convex functional constrained optimization problems have gained substantial attention in machine learning and data science, addressing broad requirements that typically go beyond the often performance-centric objectives. An influential…

Optimization and Control · Mathematics 2025-10-29 Sang Bin Moon , Jong Gwang Kim , Ashish Chandra , Christopher Brinton , Abolfazl Hashemi

Sparse coding is a core building block in many data analysis and machine learning pipelines. Typically it is solved by relying on generic optimization techniques, such as the Iterative Soft Thresholding Algorithm and its accelerated version…

Machine Learning · Statistics 2017-06-06 Thomas Moreau , Joan Bruna

High-quality saliency maps are essential in several machine learning application areas including explainable AI and weakly supervised object detection and segmentation. Many techniques have been developed to generate better saliency using…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Osman Tursun , Simon Denman , Sridha Sridharan , Clinton Fookes

Given a dissimilarity matrix, the metric nearness problem is to find the nearest matrix of distances that satisfy the triangle inequalities. This problem has wide applications, such as sensor networks, image processing, and so on. But it is…

Optimization and Control · Mathematics 2022-11-03 Peipei Tang , Bo Jiang , Chengjing Wang

In this paper we propose a splitting scheme which hybridizes generalized conditional gradient with a proximal step which we call CGALP algorithm, for minimizing the sum of three proper convex and lower-semicontinuous functions in real…

Optimization and Control · Mathematics 2022-10-20 Antonio Silveti-Falls , Cesare Molinari , Jalal Fadili

We introduce the Stochastic Asynchronous Proximal Alternating Linearized Minimization (SAPALM) method, a block coordinate stochastic proximal-gradient method for solving nonconvex, nonsmooth optimization problems. SAPALM is the first…

Optimization and Control · Mathematics 2016-06-09 Damek Davis , Brent Edmunds , Madeleine Udell

It is widely acknowledged that single image super-resolution (SISR) methods would not perform well if the assumed degradation model deviates from those in real images. Although several degradation models take additional factors into…

Image and Video Processing · Electrical Eng. & Systems 2021-10-01 Kai Zhang , Jingyun Liang , Luc Van Gool , Radu Timofte

Dictionary Learning (DL) is one of the leading sparsity promoting techniques in the context of image classification, where the "dictionary" matrix D of images and the sparse matrix X are determined so as to represent a redundant image…

Numerical Analysis · Mathematics 2022-03-10 Domitilla Brandoni , Margherita Porcelli , Valeria Simoncini

High-resolution aerial images have a wide range of applications, such as military exploration, and urban planning. Semantic segmentation is a fundamental method extensively used in the analysis of high-resolution aerial images. However, the…

Computer Vision and Pattern Recognition · Computer Science 2019-07-09 Jingbo Lin , Weipeng Jing , Houbing Song

We propose QPALM, a nonconvex quadratic programming (QP) solver based on the proximal augmented Lagrangian method. This method solves a sequence of inner subproblems which can be enforced to be strongly convex and which therefore admit a…

Optimization and Control · Mathematics 2024-04-17 Ben Hermans , Andreas Themelis , Panagiotis Patrinos

In this paper, we consider the linearly constrained composite convex optimization problem, whose objective is a sum of a smooth function and a possibly nonsmooth function. We propose an inexact augmented Lagrangian (IAL) framework for…

Optimization and Control · Mathematics 2018-03-30 Ya-Feng Liu , Xin Liu , Shiqian Ma

Inspired by the developments in quantum computing, building domain-specific classical hardware to solve computationally hard problems has received increasing attention. Here, by introducing systematic sparsification techniques, we…

We consider the problem of minimizing a convex objective which is the sum of a smooth part, with Lipschitz continuous gradient, and a nonsmooth part. Inspired by various applications, we focus on the case when the nonsmooth part is a…

Optimization and Control · Mathematics 2013-08-28 Ting Kei Pong

We study the problem of minimizing the average of a very large number of smooth functions, which is of key importance in training supervised learning models. One of the most celebrated methods in this context is the SAGA algorithm. Despite…

Machine Learning · Computer Science 2019-01-28 Xu Qian , Zheng Qu , Peter Richtárik
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