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This paper deals with a distributed Mixed-Integer Linear Programming (MILP) set-up arising in several control applications. Agents of a network aim to minimize the sum of local linear cost functions subject to both individual constraints…

Optimization and Control · Mathematics 2021-02-12 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally optimal piecewise linear (PWL) fitting problem. Our main contribution is a family of strengthened MIP…

Optimization and Control · Mathematics 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

Training large language models (LLMs) efficiently while preserving model quality poses significant challenges, particularly with subbyte precision supported by state-of-the-art GPUs. Current mixed-precision training approaches either apply…

Machine Learning · Computer Science 2026-02-03 Yunjie Pan , Yongyi Yang , Hanmei Yang , Scott Mahlke

Similarity search is an important problem in information retrieval. This similarity is based on a distance. Symbolic representation of time series has attracted many researchers recently, since it reduces the dimensionality of these high…

Information Retrieval · Computer Science 2010-06-18 Muhammad Marwan Muhammad Fuad , Pierre-François Marteau

This work focuses on support vector machine (SVM) with feature selection. A MILP formulation is proposed for the problem. The choice of suitable features to construct the separating hyperplanes has been modelled in this formulation by…

Optimization and Control · Mathematics 2018-08-08 Martine Labbé , Luisa I. Martínez-Merino , Antonio M. Rodríguez-Chía

This paper addresses the problem of tightening the mixed-integer linear programming (MILP) formulation for continuous piecewise linear (CPWL) approximations of data sets in arbitrary dimensions. The MILP formulation leverages the…

Optimization and Control · Mathematics 2026-01-08 Quentin Ploussard , Xiang Li , Matija Pavičević

Fairness has become a crucial aspect in the development of trustworthy machine learning algorithms. Current fairness metrics to measure the violation of demographic parity have the following drawbacks: (i) the average difference of model…

Machine Learning · Computer Science 2024-06-06 Jinqiu Jin , Haoxuan Li , Fuli Feng

Graph comparison plays a major role in many network applications. We often need a similarity metric for comparing networks according to their structural properties. Various network features - such as degree distribution and clustering…

Social and Information Networks · Computer Science 2013-07-16 Sadegh Aliakbary , Sadegh Motallebi , Jafar Habibi , Ali Movaghar

Distance metric learning can be viewed as one of the fundamental interests in pattern recognition and machine learning, which plays a pivotal role in the performance of many learning methods. One of the effective methods in learning such a…

Machine Learning · Computer Science 2020-02-21 Mostafa Razavi Ghods , Mohammad Hossein Moattar , Yahya Forghani

Mixed integer convex and nonlinear programs, MICP and MINLP, are expressive but require long solving times. Recent work that combines data-driven methods on solver heuristics has shown potential to overcome this issue allowing for…

Optimization and Control · Mathematics 2022-08-30 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong

Mixed Integer Linear Programming (MILP) is a well-known approach for the cryptanalysis of a symmetric cipher. A number of MILP-based security analyses have been reported for non-linear (SBoxes) and linear layers. Researchers proposed word-…

Cryptography and Security · Computer Science 2023-06-06 Debranjan Pal , Vishal Pankaj Chandratreya , Dipanwita Roy Chowdhury

Navigating rigid body objects through crowded environments can be challenging, especially when narrow passages are presented. Existing sampling-based planners and optimization-based methods like mixed integer linear programming (MILP)…

Robotics · Computer Science 2024-09-19 Mingxin Yu , Chuchu Fan

Mixed Integer Programming (MIP) solvers rely on an array of sophisticated heuristics developed with decades of research to solve large-scale MIP instances encountered in practice. Machine learning offers to automatically construct better…

Deep brain stimulation (DBS) programming remains a complex and time-consuming process, requiring manual selection of stimulation parameters to achieve therapeutic effects while minimizing adverse side-effects. This study explores…

Systems and Control · Electrical Eng. & Systems 2025-02-12 Anna Franziska Frigge , Alexander Medvedev

Designing metrics for evaluating instance segmentation revolves around comprehensively considering object detection and segmentation accuracy. However, other important properties, such as sensitivity, continuity, and equality, are…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Long Chen , Yuli Wu , Johannes Stegmaier , Dorit Merhof

Maximum diversity problems arise in many practical settings from facility location to social networks, and constitute an important class of NP-hard problems in combinatorial optimization. There has been a growing interest in these problems…

Optimization and Control · Mathematics 2024-01-25 Francisco Parreño , Ramón Álvarez-Valdés , Rafael Martí

Mixed integer linear programming (MILP) is a powerful tool for planning and control problems because of its modeling capability and the availability of good solvers. However, for large models, MILP methods suffer computationally. In this…

Robotics · Computer Science 2007-05-23 Matthew Earl , Raffaello D'Andrea

We solve large-scale mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This is motivated by the MILPs being able to model problems in multi-agent autonomy, e.g., task assignment problems and…

Optimization and Control · Mathematics 2022-11-23 Luke Fina , Matthew Hale

There has been much discussion recently about how fairness should be measured or enforced in classification. Individual Fairness [Dwork, Hardt, Pitassi, Reingold, Zemel, 2012], which requires that similar individuals be treated similarly,…

Machine Learning · Computer Science 2020-04-03 Christina Ilvento

Recent work has shown a variety of ways in which machine learning can be used to accelerate the solution of constrained optimization problems. Increasing demand for real-time decision-making capabilities in applications such as artificial…

Machine Learning · Computer Science 2024-04-02 Ethan King , James Kotary , Ferdinando Fioretto , Jan Drgona
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