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In the context of linear inverse problems, we propose and study a general iterative regularization method allowing to consider large classes of regularizers and data-fit terms. The algorithm we propose is based on a primal-dual diagonal…

Optimization and Control · Mathematics 2017-08-04 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa

We present a new solution for fundamental problems in nonlinear dynamical systems: finding, verifying, and stabilizing cycles. The solution we propose consists of a new control method based on mixing previous states of the system (or the…

Dynamical Systems · Mathematics 2017-12-19 D. Dmitrishin , I. E. Iacob , I. Skrinnik , A. Stokolos

The graph matching problem is a significant special case of the Quadratic Assignment Problem, with extensive applications in pattern recognition, computer vision, protein alignments and related fields. As the problem is NP-hard, relaxation…

Optimization and Control · Mathematics 2025-04-01 Rongxuan Li

In computer networks, participants may cooperate in processing tasks, so that loads are balanced among them. We present local distributed algorithms that (repeatedly) use local imbalance criteria to transfer loads concurrently across the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-07 Yefim Dinitz , Shlomi Dolev , Manish Kumar

We propose an algorithm for solving bound-constrained mathematical programs with complementarity constraints on the variables. Each iteration of the algorithm involves solving a linear program with complementarity constraints in order to…

Optimization and Control · Mathematics 2022-01-14 Christian Kirches , Jeffrey Larson , Sven Leyffer , Paul Manns

We investigate the stabilization of unstable multidimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels under fixed-rate information…

Optimization and Control · Mathematics 2012-09-21 Andrew P. Johnston , Serdar Yüksel

Localization and mapping with heterogeneous multi-sensor fusion have been prevalent in recent years. To adequately fuse multi-modal sensor measurements received at different time instants and different frequencies, we estimate the…

Robotics · Computer Science 2023-02-16 Jiajun Lv , Xiaolei Lang , Jinhong Xu , Mengmeng Wang , Yong Liu , Xingxing Zuo

Evolving data streams induce joint nonstationarity in continual semantic segmentation, where semantic classes, input distributions, and supervision availability change simultaneously over time. This setting reflects practical structured…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Prashant Pandey , Himanshu Kumar , Devineni Sri Venkatraya Chowdary , Brejesh Lall

In many applications, SMT solvers are utilized to solve similar or identical tasks over time. Significant variations in performance due to small changes in the input are not uncommon and lead to frustration for users. This sort of stability…

Logic in Computer Science · Computer Science 2025-05-16 Daneshvar Amrollahi , Mathias Preiner , Aina Niemetz , Andrew Reynolds , Moses Charikar , Cesare Tinelli , Clark Barrett

For three decades, carrier-phase observations have been used to obtain the most accurate location estimates using global navigation satellite systems (GNSS). These estimates are computed by minimizing a nonlinear mixed-integer least-squares…

Signal Processing · Electrical Eng. & Systems 2026-01-01 Ophir Uziel , Efi Fogel , Dan Halperin , Sivan Toledo

The first generic self-stabilizing transformer for local problems in a constrained bandwidth model is introduced. This transformer can be applied to a wide class of locally checkable labeling (LCL) problems, converting a given fault free…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-09 Shimon Bitton , Yuval Emek , Taisuke Izumi , Shay Kutten

Single fault sequential change point problems have become important in modeling for various phenomena in large distributed systems, such as sensor networks. But such systems in many situations present multiple interacting faults. For…

Information Theory · Computer Science 2015-03-17 Ram Rajagopal , XuanLong Nguyen , Sinem Coleri Ergen , Pravin Varaiya

The idea of unfolding iterative algorithms as deep neural networks has been widely applied in solving sparse coding problems, providing both solid theoretical analysis in convergence rate and superior empirical performance. However, for…

Machine Learning · Computer Science 2020-10-27 Yuhai Song , Zhong Cao , Kailun Wu , Ziang Yan , Changshui Zhang

Column generation (CG) is a well-established method for solving large-scale linear programs. It involves iteratively optimizing a subproblem containing a subset of columns and using its dual solution to generate new columns with negative…

Optimization and Control · Mathematics 2024-05-21 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Zhiguang Cao , Andrew Eberhard , Guangquan Zhang

Over the past few years, self-attention is shining in the field of deep learning, especially in the domain of natural language processing(NLP). Its impressive effectiveness, along with ubiquitous implementations, have aroused our interest…

Machine Learning · Computer Science 2020-12-03 Mingfei Yu , Masahiro Fujita

We present a class of iterative fully distributed fixed point methods to solve a system of linear equations, such that each agent in the network holds one of the equations of the system. Under a generic directed, strongly connected network,…

Numerical Analysis · Mathematics 2020-01-16 Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic , Greta Malaspina , Alessandra Micheletti

This study combines simulated annealing with delta evaluation to solve the joint stratification and sample allocation problem. In this problem, atomic strata are partitioned into mutually exclusive and collectively exhaustive strata. Each…

Artificial Intelligence · Computer Science 2021-11-23 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

New methods are developed for the stabilization of a linear system with general time-varying distributed delays existing at the system's states, inputs and outputs. In contrast to most existing literature where the function of time-varying…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Qian Feng , Sing Kiong Nguang , Wilfrid Perruquetti

Recently, inverse problems have attracted more and more attention in computational mathematics and become increasingly important in engineering applications. After the discretization, many of inverse problems are reduced to linear systems.…

Numerical Analysis · Mathematics 2022-04-07 Gong Rongfang , Huang Qin

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

Machine Learning · Computer Science 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying
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