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In this work, we investigate a neural network based solver for optimal control problems (without / with box constraint) for linear and semilinear second-order elliptic problems. It utilizes a coupled system derived from the first-order…

Optimization and Control · Mathematics 2024-05-09 Yongcheng Dai , Bangti Jin , Ramesh Sau , Zhi Zhou

This paper argues for an accelerator development toolchain that takes into account the whole system containing the accelerator. With whole-system visibility, the toolchain can better assist accelerator scoping and composition in the context…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-06 André DeHon , Hans Giesen , Nik Sultana , Yuanlong Xiao

This paper proposes a new algorithm for solving MAX2SAT problems based on combining search methods with semidefinite programming approaches. Semidefinite programming techniques are well-known as a theoretical tool for approximating maximum…

Optimization and Control · Mathematics 2018-12-18 Po-Wei Wang , J. Zico Kolter

Optimization networks are a new methodology for holistically solving interrelated problems that have been developed with combinatorial optimization problems in mind. In this contribution we revisit the core principles of optimization…

In this paper we present novel algorithmic solutions for several resource processing and data transfer multicriteria optimization problems. The results of most of the presented techniques are strategies which solve the considered problems…

Data Structures and Algorithms · Computer Science 2010-06-28 Mugurel Ionut Andreica , Nicolae Tapus

We propose an algorithm to explore the global optimization method, using SAT solvers, for training a neural net. Deep Neural Networks have achieved great feats in tasks like-image recognition, speech recognition, etc. Much of their success…

Machine Learning · Computer Science 2022-06-13 Subham S. Sahoo

In practice, optimization tasks have some structure that allows developing new algorithms for every problem with faster convergence rates. Using the structure of optimization tasks, we can propose algorithms with more optimistic convergence…

Optimization and Control · Mathematics 2020-09-01 Alexander Tyurin

Recent research has shown that a single arbitrarily efficient solver can be significantly outperformed by a portfolio of possibly slower on-average solvers. The solver selection is usually done by means of (un)supervised learning techniques…

Artificial Intelligence · Computer Science 2014-04-03 Roberto Amadini , Maurizio Gabbrielli , Jacopo Mauro

Though numerous solvers have been proposed for the MaxSAT problem, and the benchmark environment such as MaxSAT Evaluations provides a platform for the comparison of the state-of-the-art solvers, existing assessments were usually evaluated…

Artificial Intelligence · Computer Science 2026-04-09 Furong Ye , Chuan Luo , Shaowei Cai

A common problem in elastic optical networks is to study the behavior of different resources allocation algorithms, such as signal modulation formats or quality of service, in optical networks in dynamic scenarios where connections are…

Networking and Internet Architecture · Computer Science 2021-05-07 Felipe Falcón , Gonzalo España , Danilo Bórquez-Paredes

Many problems of systems control theory boil down to solving polynomial equations, polynomial inequalities or polyomial differential equations. Recent advances in convex optimization and real algebraic geometry can be combined to generate…

Optimization and Control · Mathematics 2013-09-13 Didier Henrion

In spite of the recent improvements in the performance of the solvers based on the DPLL procedure, it is still possible for the search algorithm to focus on the wrong areas of the search space, preventing the solver from returning a…

Artificial Intelligence · Computer Science 2015-03-18 Marcello Balduccini

Synthesizing optimal controllers for dynamical systems often involves solving optimization problems with hard real-time constraints. These constraints determine the class of numerical methods that can be applied: computationally expensive…

Optimization and Control · Mathematics 2022-03-16 Federico Berto , Stefano Massaroli , Michael Poli , Jinkyoo Park

This paper surveys the recent attempts, both from the machine learning and operations research communities, at leveraging machine learning to solve combinatorial optimization problems. Given the hard nature of these problems,…

Machine Learning · Computer Science 2020-03-16 Yoshua Bengio , Andrea Lodi , Antoine Prouvost

The ability to model search in a constraint solver can be an essential asset for solving combinatorial problems. However, existing infrastructure for defining search heuristics is often inadequate. Either modeling capabilities are extremely…

Artificial Intelligence · Computer Science 2012-03-07 Tom Schrijvers , Guido Tack , Pieter Wuille , Horst Samulowitz , Peter J. Stuckey

Software-defined networking (SDN) can enable diverse network management applications such as traffic engineering, service chaining, network function outsourcing, and topology reconfiguration. Realizing the benefits of SDN for these…

Networking and Internet Architecture · Computer Science 2015-04-30 Victor Heorhiadi , Michael K. Reiter , Vyas Sekar

This paper surveys the recent attempts at leveraging machine learning to solve constrained optimization problems. It focuses on surveying the work on integrating combinatorial solvers and optimization methods with machine learning…

Machine Learning · Computer Science 2021-03-31 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck , Bryan Wilder

In this paper, we propose an efficient semidefinite programming (SDP) approach to worst-case linear discriminant analysis (WLDA). Compared with the traditional LDA, WLDA considers the dimensionality reduction problem from the worst-case…

Machine Learning · Computer Science 2023-07-19 Hui Li , Chunhua Shen , Anton van den Hengel , Qinfeng Shi

This paper studies first-order algorithms for solving fully composite optimization problems over convex and compact sets. We leverage the structure of the objective by handling its differentiable and non-differentiable components…

Optimization and Control · Mathematics 2023-07-13 Maria-Luiza Vladarean , Nikita Doikov , Martin Jaggi , Nicolas Flammarion

The Satisfiability (SAT) problem is a core challenge with significant applications in software engineering, including automated testing, configuration management, and program verification. This paper presents SolSearch, a novel framework…

Software Engineering · Computer Science 2025-02-21 Junjie Sheng , Yanqiu Lin , Jiehao Wu , Yanhong Huang , Jianqi Shi , Min Zhang , Xiangfeng Wang