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The Reactive Optimal Power Flow (ROPF) problem consists in computing an optimal power generation dispatch for an alternating current transmission network that respects power flow equations and operational constraints. Some means of action…

Robotics · Computer Science 2021-03-26 Julie Sliwak , Miguel Anjos , Lucas Létocart , Emiliano Traversi

VLMs have broad potential in privacy-sensitive domains such as healthcare and finance, yet strict data-sharing constraints render centralized training infeasible. FL mitigates this issue by enabling decentralized training, but practical…

Artificial Intelligence · Computer Science 2026-03-06 Shule Lu , Yujing Wang , Hainan Zhang , Xiaoshan Yang , Hongwei Zheng , Yongxin Tong , Changsheng Xu , Zhiming Zheng

An important challenge in multi-objective reinforcement learning is obtaining a Pareto front of policies to attain optimal performance under different preferences. We introduce Iterated Pareto Referent Optimisation (IPRO), which decomposes…

Machine Learning · Computer Science 2025-02-07 Willem Röpke , Mathieu Reymond , Patrick Mannion , Diederik M. Roijers , Ann Nowé , Roxana Rădulescu

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

In the field of compressed sensing, a key problem remains open: to explicitly construct matrices with the restricted isometry property (RIP) whose performance rivals those generated using random matrix theory. In short, RIP involves…

Functional Analysis · Mathematics 2012-10-02 Matthew Fickus , John Jasper , Dustin G. Mixon , Jesse Peterson

We propose a new estimator based on a linear programming method for smooth frontiers of sample points. The derivative of the frontier function is supposed to be Holder continuous.The estimator is defined as a linear combination of kernel…

Statistics Theory · Mathematics 2014-09-23 Alexander Nazin , Stephane Girard

Optimal distribution of power among generating units to meet a specific demand subject to system constraints is an ongoing research topic in the power system community. The problem, even in a static setting, turns out to be hard to solve…

Optimization and Control · Mathematics 2014-07-17 Michael Azzam , S. Easter Selvan , Augustin Lefèvre , P. -A. Absil

Graph matching is an important problem that has received widespread attention, especially in the field of computer vision. Recently, state-of-the-art methods seek to incorporate graph matching with deep learning. However, there is no…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Zhoubo Xu , Puqing Chen , Romain Raveaux , Xin Yang , Huadong Liu

Mixed-integer linear programs (MILPs) are extensively used to model practical problems such as planning and scheduling. A prominent method for solving MILPs is large neighborhood search (LNS), which iteratively seeks improved solutions…

Optimization and Control · Mathematics 2024-12-12 Wenbo Liu , Akang Wang , Wenguo Yang , Qingjiang Shi

This paper introduces a novel approach for multi-task regression that connects Kernel Machines (KMs) and Extreme Learning Machines (ELMs) through the exploitation of the Random Fourier Features (RFFs) approximation of the RBF kernel. In…

Jeroslow and Lowe gave an exact geometric characterization of subsets of $\mathbb{R}^n$ that are projections of mixed-integer linear sets, also known as MILP-representable or MILP-R sets. We give an alternate algebraic characterization by…

Optimization and Control · Mathematics 2017-11-21 Amitabh Basu , Kipp Martin , Christopher Thomas Ryan , Guanyi Wang

In this paper, we propose an efficient algorithm for 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…

Information Theory · Computer Science 2023-02-14 Wei-Kun Chen , Ya-Feng Liu , Fan Liu , Yu-Hong Dai , Zhi-Quan Luo

This paper introduces a new method of partitioning the solution space of a multi-objective optimisation problem for parallel processing, called Efficient Projection Partitioning. This method projects solutions down into a single dimension,…

Optimization and Control · Mathematics 2017-11-23 William Pettersson , Melih Ozlen

Mixed Integer Linear Programming (MILP) can be considered the backbone of the modern power system optimization process, with a large application spectrum, from Unit Commitment and Optimal Transmission Switching to verifying Neural Networks…

Quantum Physics · Physics 2024-04-17 Petros Ellinas , Samuel Chevalier , Spyros Chatzivasileiadis

Automating optimization modeling with LLMs is a promising path toward scalable decision intelligence, but existing approaches either rely on agentic pipelines built on closed-source LLMs with high inference latency, or fine-tune smaller…

Artificial Intelligence · Computer Science 2026-04-02 Runda Guan , Xiangqing Shen , Jiajun Zhang , Yifan Zhang , Jian Cheng , Rui Xia

There has been growing interest in implementing massive MIMO systems by one-bit analog-to-digital converters (ADCs), which have the benefit of reducing the power consumption and hardware complexity. One-bit MIMO detection arises in such a…

Information Theory · Computer Science 2023-07-04 Cheng-Yang Yu , Mingjie Shao , Wei-Kun Chen , Ya-Feng Liu , Wing-Kin Ma

A current trend in networking and cloud computing is to provide compute resources at widely dispersed places; this is exemplified by developments such as Network Function Virtualisation. This paves the way for wide-area service deployments…

Networking and Internet Architecture · Computer Science 2016-08-31 Matthias Keller , Holger Karl

We are concerned with three types of uncertainties: probabilistic, possibilitistic and interval. By using possibility and necessity measures as an Interval Valued Probability Measure (IVPM), we present IVPM's interval expected values whose…

Optimization and Control · Mathematics 2008-01-25 Phantipa Thipwiwatpotjana , Weldon A. Lodwick

Markov reward processes (MRPs) are used to model stochastic phenomena arising in operations research, control engineering, robotics, and artificial intelligence, as well as communication and transportation networks. In many of these cases,…

Machine Learning · Statistics 2020-09-17 Ashwin Pananjady , Martin J. Wainwright

Branch-and-bound is the workhorse of all state-of-the-art mixed integer linear programming (MILP) solvers. These implementations of branch-and-bound typically use variable branching, that is, the child nodes are obtained by fixing some…

Optimization and Control · Mathematics 2021-09-20 Santanu S. Dey , Yatharth Dubey , Marco Molinaro