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This paper presents an algorithmic study of a class of covering mixed-integer linear programming problems which encompasses classic cover problems, including multidimensional knapsack, facility location and supplier selection problems. We…

数据结构与算法 · 计算机科学 2026-02-12 Kobe Grobben , Phablo F. S. Moura , Hande Yaman

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

统计方法学 · 统计学 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

We introduce a new optimization framework to maximize the expected spread of cascades in networks. Our model allows a rich set of actions that directly manipulate cascade dynamics by adding nodes or edges to the network. Our motivating…

Facility location problems (FLPs) are a family of optimisation problems with significant social impact. This class of problems has been the subject of study since the 1960s, with classical approaches including the Weber problem and the…

最优化与控制 · 数学 2026-02-26 Sergio Salazar , Abraham Duarte , Mauricio G. C. Resende , J. Manuel Colmenar

Subspace clustering aims to find groups of similar objects (clusters) that exist in lower dimensional subspaces from a high dimensional dataset. It has a wide range of applications, such as analysing high dimensional sensor data or DNA…

机器学习 · 计算机科学 2018-11-08 Minh Tuan Doan , Jianzhong Qi , Sutharshan Rajasegarar , Christopher Leckie

Multi-agent geographical models integrate very large numbers of spatial interactions. In order to validate those models large amount of computing is necessary for their simulation and calibration. Here a new data processing chain including…

计算机与社会 · 计算机科学 2015-02-25 Clara Schmitt , Sébastien Rey-Coyrehourcq , Romain Reuillon , Denise Pumain

In hybrid Model Predictive Control (MPC), a Mixed-Integer Quadratic Program (MIQP) is solved at each sampling time to compute the optimal control action. Although these optimizations are generally very demanding, in MPC we expect…

系统与控制 · 电气工程与系统科学 2020-04-01 Tobia Marcucci , Russ Tedrake

Clustering task of mixed data is a challenging problem. In a probabilistic framework, the main difficulty is due to a shortage of conventional distributions for such data. In this paper, we propose to achieve the mixed data clustering with…

统计方法学 · 统计学 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

Invariant prediction [Peters et al., 2016] analyzes feature/outcome data from multiple environments to identify invariant features - those with a stable predictive relationship to the outcome. Such features support generalization to new…

机器学习 · 统计学 2025-07-10 Luhuan Wu , Mingzhang Yin , Yixin Wang , John P. Cunningham , David M. Blei

This paper introduces the two-level capacitated vehicle routing problem (2S-CVRP). This problem combines the two-level bin packing problem and the vehicle routing problem into an integrated framework. The problem itself is an NP-hard…

最优化与控制 · 数学 2022-10-14 Congzheng Liu

Ising machines can solve combinatorial optimization problems by representing them as energy minimization problems. A common implementation is the probabilistic Ising machine (PIM), which uses probabilistic (p-) bits to represent coupled…

Modern recommender systems lie at the heart of complex ecosystems that couple the behavior of users, content providers, advertisers, and other actors. Despite this, the focus of the majority of recommender research -- and most practical…

人工智能 · 计算机科学 2023-09-25 Craig Boutilier , Martin Mladenov , Guy Tennenholtz

We study several models of growth driven by innovation and imitation by a continuum of firms, focusing on the interaction between the two. We first investigate a model on a technology ladder where innovation and imitation combine to…

理论经济学 · 经济学 2020-08-27 Jess Benhabib , Éric Brunet , Mildred Hager

Over the past few decades, neuroscience experiments have become increasingly complex and naturalistic. Experimental design has in turn become more challenging, as experiments must conform to an ever-increasing diversity of design…

神经元与认知 · 定量生物学 2020-12-07 Storm Slivkoff , Jack L. Gallant

We propose an ML-based model that automates and expedites the solution of MIPs by predicting the values of variables. Our approach is motivated by the observation that many problem instances share salient features and solution structures…

最优化与控制 · 数学 2023-02-24 Konstantinos Benidis , Ugo Rosolia , Syama Rangapuram , George Iosifidis , Georgios Paschos

Tipping elements occur in various systems such as in socio-economics, ecology and the climate system. In many cases, the individual tipping elements are not independent from each other, but they interact across scales in time and space. To…

We present a new mixed integer formulation for the discrete informative path planning problem in random fields. The objective is to compute a budget constrained path while collecting measurements whose linear estimate results in minimum…

系统与控制 · 电气工程与系统科学 2022-04-21 Shamak Dutta , Nils Wilde , Stephen L. Smith

Cutting planes are crucial for the performance of branch-and-cut algorithms for solving mixed-integer programming (MIP) problems, and linear row aggregation has been successfully applied to better leverage the potential of several major…

最优化与控制 · 数学 2025-02-05 Liding Xu , Gioni Mexi , Ksenia Bestuzheva

With the inflation of the data, clustering analysis, as a branch of unsupervised learning, lacks unified understanding and application of its mathematical law. Based on the view of fixed point, this paper restates the model-based clustering…

机器学习 · 计算机科学 2020-02-20 Jianhao Ding , Lansheng Han

Subspace clustering is to find underlying low-dimensional subspaces and cluster the data points correctly. In this paper, we propose a novel multi-view subspace clustering method. Most existing methods suffer from two critical issues.…

人工智能 · 计算机科学 2022-05-24 Mengyuan Zhang , Kai Liu
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