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The Sparse Approximation problem asks to find a solution $x$ such that $||y - Hx|| < \alpha$, for a given norm $||\cdot||$, minimizing the size of the support $||x||_0 := \#\{j \ |\ x_j \neq 0 \}$. We present valid inequalities for Mixed…

离散数学 · 计算机科学 2020-09-15 Diego Delle Donne , Matthieu Kowalski , Leo Liberti

The increase in non-renewable energy consumption and CO2 emissions, especially in the manufacturing sector, is moving radical shifts in energy supply policies and production models. Renewable energy integration and regulated pricing…

Mixed integer nonlinear programming (MINLP) problems are encountered in modeling a physical/industrial process consisting both nonlinearity and discrete selective parameters. There are variety of algorithms for solving MINLP problems most…

最优化与控制 · 数学 2024-05-17 Negin Bagherpour , Mahdi Sharifzadeh

This work proposes a novel method to generate C-Tests; a deviated form of cloze tests (a gap filling exercise) where only the last part of a word is turned into a gap. In contrast to previous works that only consider varying the gap size or…

计算与语言 · 计算机科学 2024-04-16 Ji-Ung Lee , Marc E. Pfetsch , Iryna Gurevych

Poor diet and nutrition in the United States has immense financial and health costs, and development of new tools for diet planning could help families better balance their financial and temporal constraints with the quality of their diet…

最优化与控制 · 数学 2017-09-27 Pedro Hespanhol , Anil Aswani

Mixed-integer linear programming (MILP) is at the core of many advanced algorithms for solving fundamental problems in combinatorial optimization. The complexity of solving MILPs directly correlates with their support size, which is the…

数据结构与算法 · 计算机科学 2023-05-16 Sebastian Berndt , Hauke Brinkop , Klaus Jansen , Matthias Mnich , Tobias Stamm

Mixed Integer Linear Programs (MILPs) are essential tools for solving planning and scheduling problems across critical industries such as construction, manufacturing, and logistics. However, their widespread adoption is limited by long…

机器学习 · 计算机科学 2025-06-10 Xiaoke Wang , Batuhan Altundas , Zhaoxin Li , Aaron Zhao , Matthew Gombolay

We establish a broad methodological foundation for mixed-integer optimization with learned constraints. We propose an end-to-end pipeline for data-driven decision making in which constraints and objectives are directly learned from data…

This paper proposes a novel primal heuristic for Mixed Integer Programs, by employing machine learning techniques. Mixed Integer Programming is a general technique for formulating combinatorial optimization problems. Inside a solver, primal…

人工智能 · 计算机科学 2021-07-05 Yunzhuang Shen , Yuan Sun , Andrew Eberhard , Xiaodong Li

Current inverse treatment planning methods that optimize both catheter positions and dwell times in prostate HDR brachytherapy use surrogate linear or quadratic objective functions that have no direct interpretation in terms of dose-volume…

医学物理 · 物理学 2014-08-13 Bram L. Gorissen , Dick den Hertog , Aswin L. Hoffmann

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

信息论 · 计算机科学 2022-03-01 Wei-Kun Chen , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

Computational design of menu systems has been solved in limited cases such as the linear menu (list) as an assignment task, where commands are assigned to menu positions while optimizing for for users selection performance and distance of…

人机交互 · 计算机科学 2020-10-21 Niraj Ramesh Dayama , Morteza Shiripour , Antti Oulasvirta , Evgeny Ivanko , Andreas Karrenbauer

The interval Distance Geometry Problem (iDGP) consists in finding a realization in $\mathbb{R}^K$ of a simple undirected graph $G=(V,E)$ with nonnegative intervals assigned to the edges in such a way that, for each edge, the Euclidean…

计算几何 · 计算机科学 2016-07-05 Claudia D'Ambrosio , Ky Vu , Carlile Lavor , Leo Liberti , Nelson Maculan

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

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.…

机器学习 · 计算机科学 2023-04-03 Tómas Thorbjarnarson , Neil Yorke-Smith

In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

人工智能 · 计算机科学 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

By exploiting the correlation between the structure and the solution of Mixed-Integer Linear Programming (MILP), Machine Learning (ML) has become a promising method for solving large-scale MILP problems. Existing ML-based MILP solvers…

机器学习 · 计算机科学 2025-01-03 Yixuan Li , Can Chen , Jiajun Li , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

With the escalating demand for meal delivery services, this study delves into the Meal Delivery Routing Problem (MDRP) within the context of last-mile logis-tics. Focusing on the critical aspects of courier allocation and order fulfillment,…

机器人学 · 计算机科学 2024-08-14 Daniel Giraldo-Herrera , David Álvarez-Martínez

Mixed-integer nonlinear programs (MINLPs) arise in domains such as energy systems, process engineering, and transportation, and are notoriously difficult to solve at scale due to the interplay of discrete decisions and nonlinear…

机器学习 · 计算机科学 2025-12-16 Bo Tang , Elias B. Khalil , Ján Drgoňa

Mixed-Integer Second-Order Cone Programs (MISOCPs) form a nice class of mixed-inter convex programs, which can be solved very efficiently due to the recent advances in optimization solvers. Our paper bridges the gap between modeling a class…

最优化与控制 · 数学 2022-06-22 Amir Ahmadi-Javid , Pooya Hoseinpour