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Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

Artificial Intelligence · Computer Science 2013-02-08 Carla P. Gomes , Bart Selman

In this two-part paper, we propose a general algorithmic framework for the minimization of a nonconvex smooth function subject to nonconvex smooth constraints. The algorithm solves a sequence of (separable) strongly convex problems and…

Multiagent Systems · Computer Science 2016-01-18 Gesualdo Scutari , Francisco Facchinei , Lorenzo Lampariello , Peiran Song

Previous efforts on making Satisfiability (SAT) solving fit for high performance computing (HPC) have lead to super-linear speedups on particular formulae, but for most inputs cannot make efficient use of a large number of processors.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-16 Dominik Schreiber , Peter Sanders

This paper introduces madupite, a high-performance distributed solver for large-scale Markov Decision Processes (MDPs). MDPs are widely used to model complex dynamical systems in various fields, including finance, epidemiology, and traffic…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-21 Matilde Gargiani , Robin Sieber , Philip Pawlowsky , Václav Hapla , John Lygeros

This work introduces StageSAT, a new approach to solving floating-point satisfiability that bridges SMT solving with numerical optimization. StageSAT reframes a floating-point formula as a series of optimization problems in three stages of…

Programming Languages · Computer Science 2026-01-09 Yuanzhuo Zhang , Zhoulai Fu , Binoy Ravindran

Building on the progress in Boolean satisfiability (SAT) solving over the last decades, maximum satisfiability (MaxSAT) has become a viable approach for solving NP-hard optimization problems, but ensuring correctness of MaxSAT solvers has…

Artificial Intelligence · Computer Science 2024-04-29 Hannes Ihalainen , Andy Oertel , Yong Kiam Tan , Jeremias Berg , Matti Järvisalo , Jakob Nordström

Diffusion models have achieved great success in synthesizing high-quality images. However, generating high-resolution images with diffusion models is still challenging due to the enormous computational costs, resulting in a prohibitive…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Muyang Li , Tianle Cai , Jiaxin Cao , Qinsheng Zhang , Han Cai , Junjie Bai , Yangqing Jia , Ming-Yu Liu , Kai Li , Song Han

Generating diverse solutions to the Boolean Satisfiability Problem (SAT) is a hard computational problem with practical applications for testing and functional verification of software and hardware designs. We explore the way to generate…

Artificial Intelligence · Computer Science 2022-12-02 Karlis Freivalds , Sergejs Kozlovics

In the contexts of automated reasoning (AR) and formal verification (FV), important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for…

Logic in Computer Science · Computer Science 2014-10-23 Roberto Sebastiani , Silvia Tomasi

With the ever-increasing computational demand of DNN training workloads, distributed training has been widely adopted. A combination of data, model and pipeline parallelism strategy, called hybrid parallelism distributed training, is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-16 Guandong Lu , Runzhe Chen , Yakai Wang , Yangjie Zhou , Rui Zhang , Zheng Hu , Yanming Miao , Zhifang Cai , Li Li , Jingwen Leng , Minyi Guo

We contribute NeuralSolver, a novel recurrent solver that can efficiently and consistently extrapolate, i.e., learn algorithms from smaller problems (in terms of observation size) and execute those algorithms in large problems. Contrary to…

Machine Learning · Computer Science 2024-11-01 Bernardo Esteves , Miguel Vasco , Francisco S. Melo

We develop an integrated Multi-Port Concurrent Communication Divisible Load Theory (MPCC-DLT) framework for relay-centric distributed satellite systems (DSS), capturing concurrent data dissemination, parallel computation, and result return…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-26 Bharadwaj Veeravalli

Direct Multisearch (DMS) is a Derivative-free Optimization class of algorithms suited for computing approximations to the complete Pareto front of a given Multiobjective Optimization problem. It has a well-supported convergence analysis and…

Optimization and Control · Mathematics 2021-05-10 S. Tavares , C. P. Brás , A. L. Custódio , V. Duarte , P. Medeiros

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

We give a general method of construting quantum circuit for random \QTR{it}{satisfiability} (SAT) problems with the basic logic gates such as multi-qubit controlled-NOT and NOT gates. The sizes of these circuits are almost the same as the…

Quantum Physics · Physics 2007-05-23 Xinhua Peng , Xiwen Zhu , Kelin Gao

Distributed storage systems (DSSs) provide a scalable solution for reliably storing massive amounts of data coming from various sources. Heterogeneity of these data sources often means different data classes (types) exist in a DSS, each…

Information Theory · Computer Science 2017-01-24 Koosha Pourtahmasi Roshandeh , Moslem Noori , Masoud Ardakani , Chintha Tellambura

Many practical applications require solving an optimization over large and high-dimensional data sets, which makes these problems hard to solve and prohibitively time consuming. In this paper, we propose a parallel distributed algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-12-03 Elad Gilboa , Phani Chavali , Peng Yang , Arye Nehorai

Although resource allocation is a well studied problem in computer science, until the prevalence of distributed systems, such as computing clouds and data centres, the question had been addressed predominantly for single resource type…

Computer Science and Game Theory · Computer Science 2025-12-29 Serdar Metin

Many different approaches for solving Constraint Satisfaction Problems (CSPs) and related Constraint Optimization Problems (COPs) exist. However, there is no single solver (nor approach) that performs well on all classes of problems and…

Artificial Intelligence · Computer Science 2015-05-11 Mirko Stojadinović , Mladen Nikolić , Filip Marić