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The study of genetic map linearization leads to a combinatorial hard problem, called the {\em minimum breakpoint linearization} (MBL) problem. It is aimed at finding a linearization of a partial order which attains the minimum breakpoint…

基因组学 · 定量生物学 2015-02-26 Xin Chen

In many operational contexts, solutions to NP-hard combinatorial optimization problems, modeled by means of Mixed-Integer Linear Programming (MILP), may become infeasible due to unpredictable disruptions. Typically, reoptimizing by solving…

最优化与控制 · 数学 2026-05-27 Mathieu Lerouge , Andrea Lodi , Enrico Malaguti , Michele Monaci , Filippo Focacci

In this paper, we propose a Bi-layer Predictionbased Reduction Branch (BP-RB) framework to speed up the process of finding a high-quality feasible solution for Mixed Integer Programming (MIP) problems. A graph convolutional network (GCN) is…

最优化与控制 · 数学 2022-09-28 Lingying Huang , Xiaomeng Chen , Wei Huo , Jiazheng Wang , Fan Zhang , Bo Bai , Ling Shi

Mixed Integer Linear Programs (MILP) are well known to be NP-hard (Non-deterministic Polynomial-time hard) problems in general. Even though pure optimization-based methods, such as constraint generation, are guaranteed to provide an optimal…

最优化与控制 · 数学 2022-07-18 Asunción Jiménez-Cordero , Juan Miguel Morales , Salvador Pineda

In computer science, there exist a large number of optimization problems defined on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

机器学习 · 计算机科学 2020-04-17 Yaoxin Li , Jing Liu , Guozheng Lin , Yueyuan Hou , Muyun Mou , Jiang Zhang

Mixed Integer Linear Programming (MILP) can be considered the backbone of the modern power system optimization process, with a large application spectrum, from Unit Commitment and Optimal Transmission Switching to verifying Neural Networks…

量子物理 · 物理学 2024-04-17 Petros Ellinas , Samuel Chevalier , Spyros Chatzivasileiadis

Mixed-integer linear programming problems are extensively used in industry for a wide range of optimization tasks. However, as they get larger, they present computational challenges for classical solvers within practical time limits.…

量子物理 · 物理学 2026-01-21 Sergio López-Baños , Elisabeth Lobe , Ontje Lünsdorf , Oriol Raventós

We introduce the ``soft Deep MaxPain'' (softDMP) algorithm, which integrates the optimization of long-term policy entropy into reward-punishment reinforcement learning objectives. Our motivation is to facilitate a smoother variation of…

机器学习 · 计算机科学 2024-09-16 Jiexin Wang , Eiji Uchibe

We consider the problem of max-min beamforming (MMB) for cell-free massive multi-input multi-output (MIMO) systems, where the objective is to maximize the minimum achievable rate among all users. Existing MMB methods are mainly based on…

信号处理 · 电气工程与系统科学 2025-07-28 Bin Wang , Jun Fang , Yue Xiao , Martin Haardt

Sparsity constrained minimization captures a wide spectrum of applications in both machine learning and signal processing. This class of problems is difficult to solve since it is NP-hard and existing solutions are primarily based on…

最优化与控制 · 数学 2018-12-31 Ganzhao Yuan , Bernard Ghanem

Learned sparse retrieval systems aim to combine the effectiveness of contextualized language models with the scalability of conventional data structures such as inverted indexes. Nevertheless, the indexes generated by these systems exhibit…

信息检索 · 计算机科学 2024-05-03 Antonio Mallia , Torten Suel , Nicola Tonellotto

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for nonnegative data, with applications such as hyperspectral unmixing and topic modeling. NMF is a difficult problem in general (NP-hard), and its…

数值分析 · 数学 2025-11-11 Junjun Pan , Valentin Leplat , Michael Ng , Nicolas Gillis

This paper is concerned with the problem of low rank plus sparse matrix decomposition for big data. Conventional algorithms for matrix decomposition use the entire data to extract the low-rank and sparse components, and are based on…

数值分析 · 计算机科学 2017-03-17 Mostafa Rahmani , George Atia

Softmax is the most commonly used output function for multiclass problems and is widely used in areas such as vision, natural language processing, and recommendation. A softmax model has linear costs in the number of classes which makes it…

机器学习 · 计算机科学 2018-08-03 Guy Blanc , Steffen Rendle

In many submodular optimization applications, datasets are naturally partitioned into disjoint subsets. These scenarios give rise to submodular optimization problems with partition-based constraints, where the desired solution set should be…

数据结构与算法 · 计算机科学 2026-01-21 Wenjing Chen , Yixin Chen , Victoria G. Crawford

In a wide range of applications, we are required to rapidly solve a sequence of convex multiparametric quadratic programs (mp-QPs) on resource-limited hardwares. This is a nontrivial task and has been an active topic for decades in control…

最优化与控制 · 数学 2024-12-17 Zhinan Hou , Keyou You

Telecommunication networks frequently face technological advancements and need to upgrade their infrastructure. Adapting legacy networks to the latest technology requires synchronized technicians responsible for migrating the equipment. The…

最优化与控制 · 数学 2023-05-11 Maryam Daryalal , Hamed Pouya

In many operations management problems, we need to make decisions sequentially to minimize the cost while satisfying certain constraints. One modeling approach to study such problems is constrained Markov decision process (CMDP). When…

最优化与控制 · 数学 2021-01-27 Yi Chen , Jing Dong , Zhaoran Wang

We consider a class of optimization problems over stochastic variables where the algorithm can learn information about the value of any variable through a series of costly steps; we model this information acquisition process as a Markov…

数据结构与算法 · 计算机科学 2025-07-25 Shuchi Chawla , Dimitris Christou , Amit Harlev , Ziv Scully

A mean field feedback artificial neural network algorithm is developed and explored for the set covering problem. A convenient encoding of the inequality constraints is achieved by means of a multilinear penalty function. An approximate…

神经与进化计算 · 计算机科学 2007-05-23 Mattias Ohlsson , Carsten Peterson , Bo Söderberg