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For clustering of an undirected graph, this paper presents an exact algorithm for the maximization of modularity density, a more complicated criterion to overcome drawbacks of the well-known modularity. The problem can be interpreted as the…

Social and Information Networks · Computer Science 2017-06-28 Keisuke Sato , Yoichi Izunaga

Mixed-integer linear programming (MILP) has been a fundamental problem in combinatorial optimization. Conventional MILP solving mainly relies on carefully designed heuristics embedded in the branch-and-bound framework. Driven by the strong…

Artificial Intelligence · Computer Science 2026-01-13 Siyuan Li , Yifan Yu , Zhihao Zhang , Mengjing Chen , Fangzhou Zhu , Tao Zhong , Peng Liu , Jianye Hao

Mixed Integer Linear Programming (MILP) is a fundamental tool for modeling combinatorial optimization problems. Recently, a growing body of research has used machine learning to accelerate MILP solving. Despite the increasing popularity of…

Machine Learning · Computer Science 2024-10-29 Weimin Huang , Taoan Huang , Aaron M Ferber , Bistra Dilkina

Mixed-integer quadratic programs (MIQPs) are a versatile way of formulating vehicle decision making and motion planning problems, where the prediction model is a hybrid dynamical system that involves both discrete and continuous decision…

Robotics · Computer Science 2024-05-15 Rudolf Reiter , Rien Quirynen , Moritz Diehl , Stefano Di Cairano

With the recent development of new geometric and angular-radial frameworks for multivariate extremes, reliably simulating from angular variables in moderate-to-high dimensions is of increasing importance. Empirical approaches have the…

Machine Learning · Statistics 2026-01-01 Jakob Benjamin Wessel , Callum J. R. Murphy-Barltrop , Emma S. Simpson

We transform join ordering into a mixed integer linear program (MILP). This allows to address query optimization by mature MILP solver implementations that have evolved over decades and steadily improved their performance. They offer…

Databases · Computer Science 2015-11-09 Immanuel Trummer , Christoph Koch

Scheduling flexible sources to promote the integration of renewable generation is one fundamental problem for operating active distribution networks (ADNs). However, existing works are usually based on power flow models, which require…

Optimization and Control · Mathematics 2022-08-09 Ge Chen , Hongcai Zhang , Yonghua Song

We introduce GlassMLP, a machine learning framework using physics-inspired structural input to predict the long-time dynamics in deeply supercooled liquids. We apply this deep neural network to atomistic models in 2D and 3D. Its performance…

Soft Condensed Matter · Physics 2023-09-29 Gerhard Jung , Giulio Biroli , Ludovic Berthier

Recent work has shown potential in using Mixed Integer Programming (MIP) solvers to optimize certain aspects of neural networks (NNs). However the intriguing approach of training NNs with MIP solvers is under-explored.…

Machine Learning · Computer Science 2023-04-03 Tómas Thorbjarnarson , Neil Yorke-Smith

Neural network training is inherently sequential where the layers finish the forward propagation in succession, followed by the calculation and back-propagation of gradients (based on a loss function) starting from the last layer. The…

Machine Learning · Computer Science 2023-12-01 Vahid Janfaza , Shantanu Mandal , Farabi Mahmud , Abdullah Muzahid

Leveraging machine learning (ML) to predict an initial solution for mixed-integer linear programming (MILP) has gained considerable popularity in recent years. These methods predict a solution and fix a subset of variables to reduce the…

Machine Learning · Computer Science 2025-03-04 Haoyang Liu , Jie Wang , Zijie Geng , Xijun Li , Yuxuan Zong , Fangzhou Zhu , Jianye Hao , Feng Wu

In this paper, we propose to equip Generative Adversarial Networks with the ability to produce direct energy estimates for samples.Specifically, we propose a flexible adversarial training framework, and prove this framework not only ensures…

Machine Learning · Computer Science 2017-02-27 Zihang Dai , Amjad Almahairi , Philip Bachman , Eduard Hovy , Aaron Courville

During a geosteering operation the well path is intentionally adjusted in response to the new data acquired while drilling. To achieve consistent high-quality decisions, especially when drilling in complex environments, decision support…

Machine Learning · Statistics 2021-11-16 Kristian Fossum , Sergey Alyaev , Jan Tveranger , Ahmed Elsheikh

In this paper, we propose a new mixed-integer linear programming (MILP) model ontology and a novel constraint typology of MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life…

Artificial Intelligence · Computer Science 2021-03-02 Bahadorreza Ofoghi , Vicky Mak , John Yearwood

Natural Language Inference is an important task for Natural Language Understanding. It is concerned with classifying the logical relation between two sentences. In this paper, we propose several text generative neural networks for…

Artificial Intelligence · Computer Science 2017-03-28 Janez Starc , Dunja Mladenić

Generative Adversarial Networks (GANs) have known a tremendous success for many continuous generation tasks, especially in the field of image generation. However, for discrete outputs such as language, optimizing GANs remains an open…

Machine Learning · Computer Science 2022-01-31 Sylvain Lamprier , Thomas Scialom , Antoine Chaffin , Vincent Claveau , Ewa Kijak , Jacopo Staiano , Benjamin Piwowarski

In this paper, we consider the network slicing (NS) problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and manage network resources to meet diverse…

Information Theory · Computer Science 2025-07-03 Wei-Kun Chen , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

Mixed-integer rounding (MIR) cutting planes (cuts) are effective at improving the strength of a linear relaxation for mixed-integer linear programming (MIP) problems. The cuts in this family are derived by aggregating constraints then…

Optimization and Control · Mathematics 2024-12-16 Oscar Guaje , Arnaud Deza , Aleksandr M. Kazachkov , Elias B. Khalil

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

We study regenerative stopping problems in which the system starts anew whenever the controller decides to stop and the long-term average cost is to be minimized. Traditional model-based solutions involve estimating the underlying process…

Machine Learning · Computer Science 2021-05-07 Kishor Jothimurugan , Matthew Andrews , Jeongran Lee , Lorenzo Maggi