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Quadratic constrained quadratic programming problems often occur in various fields such as engineering practice, management science, and network communication. This article mainly studies a non convex quadratic programming problem with…

最优化与控制 · 数学 2023-12-29 Bo Zhang , YueLin Gao , Xia Liu , XiaoLi Huang

Given a family of linear constraints and a linear objective function one can consider whether to apply a Linear Programming (LP) algorithm or use a Linear Superiorization (LinSup) algorithm on this data. In the LP methodology one aims at…

最优化与控制 · 数学 2026-01-27 Jan Schröder , Yair Censor , Philipp Süss , Karl-Heinz Küfer

This paper explores reoptimization techniques for solving sequences of similar mixed integer programs (MIPs) more effectively. Traditionally, these MIPs are solved independently, without capitalizing on information from previously solved…

最优化与控制 · 数学 2024-01-26 Krunal Kishor Patel

Existing techniques for the cost optimization of water distribution networks either employ meta-heuristics, or try to develop problem-specific optimization techniques. Instead, we exploit recent advances in generic NLP solvers and explore a…

系统与控制 · 电气工程与系统科学 2021-11-24 Saumya Goyal , Om Damani , Ashutosh Mahajan

Deep neural networks have achieved great success in many data processing applications. However, the high computational complexity and storage cost makes deep learning hard to be used on resource-constrained devices, and it is not…

机器学习 · 计算机科学 2023-03-27 Xinwei Ou , Zhangxin Chen , Ce Zhu , Yipeng Liu

We optimize pipeline parallelism for deep neural network (DNN) inference by partitioning model graphs into $k$ stages and minimizing the running time of the bottleneck stage, including communication. We give practical and effective…

机器学习 · 计算机科学 2024-06-05 Aaron Archer , Matthew Fahrbach , Kuikui Liu , Prakash Prabhu

Deep learning approaches have achieved great success in the field of Natural Language Processing (NLP). However, directly training deep neural models often suffer from overfitting and data scarcity problems that are pervasive in NLP tasks.…

人工智能 · 计算机科学 2024-04-30 Shijie Chen , Yu Zhang , Qiang Yang

High-level decision-making for dynamical systems often involves performance and safety specifications that are activated or deactivated depending on conditions related to the system state and commands. Such decision-making problems can be…

最优化与控制 · 数学 2025-04-04 Andrea Ghezzi , Armin Nurkanović , Avishai Weiss , Moritz Diehl , Stefano Di Cairano

This paper presents a comprehensive survey of methods which can be utilized to search for solutions to systems of nonlinear equations (SNEs). Our objectives with this survey are to synthesize pertinent literature in this field by presenting…

Non-convex optimization is a critical tool in advancing machine learning, especially for complex models like deep neural networks and support vector machines. Despite challenges such as multiple local minima and saddle points, non-convex…

机器学习 · 计算机科学 2024-10-04 Greg B Fotopoulos , Paul Popovich , Nicholas Hall Papadopoulos

Normalization techniques are essential for accelerating the training and improving the generalization of deep neural networks (DNNs), and have successfully been used in various applications. This paper reviews and comments on the past,…

机器学习 · 计算机科学 2020-09-29 Lei Huang , Jie Qin , Yi Zhou , Fan Zhu , Li Liu , Ling Shao

This paper studies how to train machine-learning models that directly approximate the optimal solutions of constrained optimization problems. This is an empirical risk minimization under constraints, which is challenging as training must…

机器学习 · 计算机科学 2022-11-24 Seonho Park , Pascal Van Hentenryck

The global optimization literature places large emphasis on reducing intractable optimization problems into more tractable structured optimization forms. In order to achieve this goal, many existing methods are restricted to optimization…

最优化与控制 · 数学 2025-04-28 Dimitris Bertsimas , Berk Öztürk

Deep neural networks excel at learning from labeled data and achieve state-of-the-art resultson a wide array of Natural Language Processing tasks. In contrast, learning from unlabeled data, especially under domain shift, remains a…

计算与语言 · 计算机科学 2020-10-29 Alan Ramponi , Barbara Plank

PDE-constrained optimization problems with control or state constraints are challenging from an analytical as well as numerical perspective. The combination of these constraints with a sparsity-promoting $\rm L^1$ term within the objective…

最优化与控制 · 数学 2019-02-13 John W. Pearson , Margherita Porcelli , Martin Stoll

Neural networks (NNs) are pervasive across various domains but often lack interpretability. To address the growing need for explanations, logic-based approaches have been proposed to explain predictions made by NNs, offering correctness…

计算机科学中的逻辑 · 计算机科学 2026-02-26 Luiz Fernando Paulino Queiroz , Carlos Henrique Leitão Cavalcante , Thiago Alves Rocha

Deep neural networks (DNNs) have shown great success in many machine learning tasks. Their training is challenging since the loss surface of the network architecture is generally non-convex, or even non-smooth. How and under what…

机器学习 · 计算机科学 2022-02-09 Lam M. Nguyen , Trang H. Tran , Marten van Dijk

Binary optimization is a central problem in mathematical optimization and its applications are abundant. To solve this problem, we propose a new class of continuous optimization techniques which is based on Mathematical Programming with…

最优化与控制 · 数学 2017-12-07 Ganzhao Yuan , Bernard Ghanem

Large Language Models (LLMs) have revolutionized many areas of artificial intelligence (AI), but their substantial resource requirements limit their deployment on mobile and edge devices. This survey paper provides a comprehensive overview…

In this work, we consider a class of differentiable criteria for sparse image computing problems, where a nonconvex regularization is applied to an arbitrary linear transform of the target image. As special cases, it includes…

最优化与控制 · 数学 2013-08-27 Emilie Chouzenoux , Anna Jezierska , Jean-Christophe Pesquet , Hugues Talbot