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In this work, we propose and study a framework of generalized proximal point algorithms associated with a maximally monotone operator. We indicate sufficient conditions on the regularization and relaxation parameters of generalized proximal…

最优化与控制 · 数学 2022-03-29 Hui Ouyang

This paper deals with a unifying approach to the problems of computing the admissible sets of parametrical multi perturbations in appropriate bounded sets such that some fundamental properties of parameter-varying linear dynamic systems are…

最优化与控制 · 数学 2008-03-28 M. De la Sen

The concept of programmable matter envisions a very large number of tiny and simple robot particles forming a smart material. Even though the particles are restricted to local communication, local movement, and simple computation, their…

分布式、并行与集群计算 · 计算机科学 2026-02-04 Irina Kostitsyna , Tom Peters , Bettina Speckmann

We propose a general framework for reconstructing and denoising single entries of incomplete and noisy entries. We describe: effective algorithms for deciding if and entry can be reconstructed and, if so, for reconstructing and denoising…

机器学习 · 统计学 2013-04-02 Franz J. Király , Louis Theran

Linear optimization is many times algorithmically simpler than non-linear convex optimization. Linear optimization over matroid polytopes, matching polytopes and path polytopes are example of problems for which we have simple and efficient…

机器学习 · 计算机科学 2015-08-17 Dan Garber , Elad Hazan

Gradient-descent based iterative algorithms pervade a variety of problems in estimation, prediction, learning, control, and optimization. Recently iterative algorithms based on higher-order information have been explored in an attempt to…

机器学习 · 计算机科学 2021-03-25 Spencer McDonald , Yingnan Cui , Joseph E. Gaudio , Anuradha M. Annaswamy

We study the design of one-to-one matching mechanisms that are strategy-proof for both sides and as stable as possible. Motivated by the impossibility result of Roth (1982), we formulate the mechanism design problem as a linear program that…

理论经济学 · 经济学 2026-02-04 Tohya Sugano

Machine learning pipelines often rely on optimization procedures to make discrete decisions (e.g., sorting, picking closest neighbors, or shortest paths). Although these discrete decisions are easily computed, they break the…

机器学习 · 计算机科学 2020-06-11 Quentin Berthet , Mathieu Blondel , Olivier Teboul , Marco Cuturi , Jean-Philippe Vert , Francis Bach

This paper proposes an asymmetric perturbation technique for solving bilinear saddle-point optimization problems, commonly arising in minimax problems, game theory, and constrained optimization. Perturbing payoffs or values is known to be…

最优化与控制 · 数学 2026-02-16 Kenshi Abe , Mitsuki Sakamoto , Kaito Ariu , Atsushi Iwasaki

In this paper, we propose a new framework for designing fast parallel algorithms for fundamental statistical subset selection tasks that include feature selection and experimental design. Such tasks are known to be weakly submodular and are…

机器学习 · 计算机科学 2021-04-02 Sharon Qian , Yaron Singer

This paper proposes an algorithm that combines Fast Moving Horizon Parameter Estimation and Model Predictive Control subject to an observability constraint designed to ensure a lower bound on the performance of the parameter estimator.…

最优化与控制 · 数学 2023-03-27 Emilien Flayac , Girish Nair , Iman Shames

In this paper, we move towards combining large parametric models with non-parametric prototypical networks. We propose prototypical fine-tuning, a novel prototypical framework for fine-tuning pretrained language models (LM), which…

计算与语言 · 计算机科学 2022-11-28 Yiqiao Jin , Xiting Wang , Yaru Hao , Yizhou Sun , Xing Xie

This work provides a novel convergence analysis for stochastic optimization in terms of stopping times, addressing the practical reality that algorithms are often terminated adaptively based on observed progress. Unlike prior approaches,…

最优化与控制 · 数学 2025-07-17 Yasong Feng , Yifan Jiang , Tianyu Wang , Zhiliang Ying

Performance tuning of Database Management Systems(DBMS) is both complex and challenging as it involves identifying and altering several key performance tuning parameters. The quality of tuning and the extent of performance enhancement…

数据库 · 计算机科学 2010-05-07 S. F. Rodd , U. P. Kulkarni

Given a static vertex-selection problem (e.g. independent set, dominating set) on a graph, we can define a corresponding temporally satisfying reconfiguration problem on a temporal graph which asks for a sequence of solutions to the…

数据结构与算法 · 计算机科学 2025-09-22 Tom Davot , Jessica Enright , Laura Larios-Jones

We propose a first-order augmented Lagrangian algorithm (FALC) to solve the composite norm minimization problem min |sigma(F(X)-G)|_alpha + |C(X)- d|_beta subject to A(X)-b in Q; where sigma(X) denotes the vector of singular values of X,…

最优化与控制 · 数学 2012-08-07 Necdet Serhat Aybat , Garud Iyengar

The development of nonlinear optimization algorithms capable of performing reliably in the presence of noise has garnered considerable attention lately. This paper advocates for strategies to create noise-tolerant nonlinear optimization…

最优化与控制 · 数学 2024-10-04 Yuchen Lou , Shigeng Sun , Jorge Nocedal

The problem of monotone submodular maximization has been studied extensively due to its wide range of applications. However, there are cases where one can only access the objective function in a distorted or noisy form because of the…

数据结构与算法 · 计算机科学 2022-10-24 Lingxiao Huang , Yuyi Wang , Chunxue Yang , Huanjian Zhou

Partial-differential-equation (PDE)-constrained optimization is a well-worn technique for acquiring optimal parameters of systems governed by PDEs. However, this approach is limited to providing a single set of optimal parameters per…

计算物理 · 物理学 2024-10-17 Archis S. Joglekar

Selecting an optimizer is a central step in the contemporary deep learning pipeline. In this paper, we demonstrate the sensitivity of optimizer comparisons to the hyperparameter tuning protocol. Our findings suggest that the hyperparameter…

机器学习 · 计算机科学 2020-06-17 Dami Choi , Christopher J. Shallue , Zachary Nado , Jaehoon Lee , Chris J. Maddison , George E. Dahl