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Clustering by projection has been proposed as a way to preserve network structure in linear multi-agent systems. Here, we extend this approach to a class of nonlinear network systems. Additionally, we generalize our clustering method which…

Numerical Analysis · Mathematics 2022-04-01 Peter Benner , Sara Grundel , Petar Mlinarić

Pruning coupled with learning aims to optimize the neural network (NN) structure for solving specific problems. This optimization can be used for various purposes: to prevent overfitting, to save resources for implementation and training,…

Machine Learning · Computer Science 2023-01-24 Alexander N. Gorban , Evgeny M. Mirkes

We develop new algorithmic methods with provable guarantees for feature selection in regard to categorical data clustering. While feature selection is one of the most common approaches to reduce dimensionality in practice, most of the known…

Data Structures and Algorithms · Computer Science 2021-08-20 Sayan Bandyapadhyay , Fedor V. Fomin , Petr A. Golovach , Kirill Simonov

Cutting plane methods play a significant role in modern solvers for tackling mixed-integer programming (MIP) problems. Proper selection of cuts would remove infeasible solutions in the early stage, thus largely reducing the computational…

Optimization and Control · Mathematics 2021-10-11 Zeren Huang , Kerong Wang , Furui Liu , Hui-ling Zhen , Weinan Zhang , Mingxuan Yuan , Jianye Hao , Yong Yu , Jun Wang

Iterative pruning is one of the most effective compression methods for pre-trained language models. We discovered that finding the optimal pruning decision is an equality-constrained 0-1 Integer Linear Programming problem. The solution to…

Computation and Language · Computer Science 2023-05-23 Siyu Ren , Kenny Q. Zhu

To reduce memory footprint and run-time latency, techniques such as neural network pruning and binarization have been explored separately. However, it is unclear how to combine the best of the two worlds to get extremely small and efficient…

Computer Vision and Pattern Recognition · Computer Science 2018-12-12 Yinghao Xu , Xin Dong , Yudian Li , Hao Su

The sophisticated structure of Convolutional Neural Network (CNN) allows for outstanding performance, but at the cost of intensive computation. As significant redundancies inevitably present in such a structure, many works have been…

Machine Learning · Computer Science 2019-09-13 Zhuwei Qin , Fuxun Yu , Chenchen Liu , Xiang Chen

Data clustering is an instrumental tool in the area of energy resource management. One problem with conventional clustering is that it does not take the final use of the clustered data into account, which may lead to a very suboptimal use…

Machine Learning · Computer Science 2021-06-03 Chao Zhang , Samson Lasaulce , Martin Hennebel , Lucas Saludjian , Patrick Panciatici , H. Vincent Poor

We present a novel particle filtering framework for continuous-time dynamical systems with continuous-time measurements. Our approach is based on the duality between estimation and optimal control, which allows reformulating the estimation…

Optimization and Control · Mathematics 2021-10-08 Qinsheng Zhang , Amirhossein Taghvaei , Yongxin Chen

Clustering serves as a vital tool for uncovering latent data structures, and achieving both high accuracy and interpretability is essential. To this end, existing methods typically construct binary decision trees by solving mixed-integer…

Machine Learning · Computer Science 2026-02-17 Hayato Suzuki , Shunnosuke Ikeda , Yuichi Takano

We study a class of convex-concave min-max problems in which the coupled component of the objective is linear in at least one of the two decision vectors. We identify such problem structure as interpolating between the bilinearly and…

Optimization and Control · Mathematics 2025-07-10 Ronak Mehta , Jelena Diakonikolas , Zaid Harchaoui

Most existing channel pruning methods formulate the pruning task from a perspective of inefficiency reduction which iteratively rank and remove the least important filters, or find the set of filters that minimizes some reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2019-07-17 Chengcheng Li , Zi Wang , Dali Wang , Xiangyang Wang , Hairong Qi

In the multiple changepoint setting, various search methods have been proposed which involve optimising either a constrained or penalised cost function over possible numbers and locations of changepoints using dynamic programming. Such…

Computation · Statistics 2014-12-12 Kaylea Haynes , Idris A. Eckley , Paul Fearnhead

It is today accepted that matrix factorization models allow a high quality of rating prediction in recommender systems. However, a major drawback of matrix factorization is its static nature that results in a progressive declining of the…

Machine Learning · Computer Science 2012-12-05 Modou Gueye , Talel Abdessalem , Hubert Naacke

Bayesian filtering is a well-known problem that aims to estimate plausible states of a dynamical system from observations. Among existing approaches to solve this problem, particle filters are theoretically exact for non-linear dynamics and…

Machine Learning · Computer Science 2026-05-20 Thomas Savary , François Rozet , Gilles Louppe

This paper addresses the energy management of a grid-connected renewable generation plant coupled with a battery energy storage device in the capacity firming market, designed to promote renewable power generation facilities in small…

Intermittent renewable energy resources like wind and solar pose great uncertainty of multiple time scales, from minutes to years, on the design and operation of power systems. Energy system optimization models have been developed to find…

Optimization and Control · Mathematics 2022-04-27 Yuheng Zhang , Vivian Cheng , Dharik S. Mallapragada , Jie Song , Guannan He

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

Machine Learning · Computer Science 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

In this paper we propose a technique that assigns obstacles to clusters used for collision avoidance via Mixed-Integer Programming. This strategy enables a reduction in the number of binary variables used for collision avoidance, thus…

Systems and Control · Electrical Eng. & Systems 2020-09-17 Vinicius Antonio Battagello , Nei Yoshihiro Soma , Rubens Junqueira Magalhaes Afonso

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

Databases · Computer Science 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab