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We identify a new and important global (or non-binary) constraint. This constraint ensures that the values taken by two vectors of variables, when viewed as multisets, are ordered. This constraint is useful for a number of different…

Artificial Intelligence · Computer Science 2009-05-26 Alan M. Frisch , Ian Miguel , Zeynep Kiziltan , Brahim Hnich , Toby Walsh

We present a multi-objective Bayesian optimisation algorithm that allows the user to express preference-order constraints on the objectives of the type "objective A is more important than objective B". These preferences are defined based on…

Machine Learning · Computer Science 2019-11-14 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh

Solving planning and scheduling problems for multiple tasks with highly coupled state and temporal constraints is notoriously challenging. An appealing approach to effectively decouple the problem is to judiciously order the events such…

Artificial Intelligence · Computer Science 2021-04-02 Jingkai Chen , Yuening Zhang , Cheng Fang , Brian C. Williams

Multiobjective combinatorial optimization deals with problems considering more than one viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing objective function is of special interest when the number of…

Optimization and Control · Mathematics 2013-06-07 Elena Fernández , Miguel A. Pozo , Justo Puerto

Finding the optimal configuration of parameters in ResNet is a nonconvex minimization problem, but first-order methods nevertheless find the global optimum in the overparameterized regime. We study this phenomenon with mean-field analysis,…

Machine Learning · Computer Science 2021-11-30 Zhiyan Ding , Shi Chen , Qin Li , Stephen Wright

This paper proposes an improved version of the current online learning algorithm for a general fuzzy min-max neural network (GFMM) to tackle existing issues concerning expansion and contraction steps as well as the way of dealing with…

Machine Learning · Computer Science 2020-01-09 Thanh Tung Khuat , Fang Chen , Bogdan Gabrys

We study the well-motivated problem of online distribution shift in which the data arrive in batches and the distribution of each batch can change arbitrarily over time. Since the shifts can be large or small, abrupt or gradual, the length…

Machine Learning · Computer Science 2025-04-11 Dheeraj Baby , Boran Han , Shuai Zhang , Cuixiong Hu , Yuyang Wang , Yu-Xiang Wang

A homotopy method for multi-objective optimization that produces uniformly sampled Pareto fronts by construction is presented. While the algorithm is general, of particular interest is application to simulation-based engineering…

Optimization and Control · Mathematics 2015-05-13 Andreas Adelmann , Peter Arbenz , Andrew Foster , Yves Ineichen

Pareto Front Learning (PFL) was recently introduced as an efficient method for approximating the entire Pareto front, the set of all optimal solutions to a Multi-Objective Optimization (MOO) problem. In the previous work, the mapping…

Optimization and Control · Mathematics 2023-08-15 Tran Anh Tuan , Long P. Hoang , Dung D. Le , Tran Ngoc Thang

We introduce a class of first-order methods for smooth constrained optimization that are based on an analogy to non-smooth dynamical systems. Two distinctive features of our approach are that (i) projections or optimizations over the entire…

Optimization and Control · Mathematics 2025-04-15 Michael Muehlebach , Michael I. Jordan

The AC Optimal Power Flow (AC-OPF) problem is central to power system operation but challenging to solve efficiently due to its nonconvex and nonlinear nature. Neural networks (NNs) offer fast surrogates, yet their black-box behavior raises…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Bastien Giraud , Rahul Nellikath , Johanna Vorwerk , Maad Alowaifeer , Spyros Chatzivasileiadis

Gradient-free/zeroth-order methods for black-box convex optimization have been extensively studied in the last decade with the main focus on oracle calls complexity. In this paper, besides the oracle complexity, we focus also on iteration…

Generative Flow Networks (GFlowNets) are a novel class of generative models designed to sample from unnormalized distributions and have found applications in various important tasks, attracting great research interest in their training…

Machine Learning · Computer Science 2024-10-04 Rui Hu , Yifan Zhang , Zhuoran Li , Longbo Huang

The rapid proliferation of food delivery platforms has reshaped urban mobility but has also contributed significantly to environmental degradation through increased greenhouse gas emissions. Existing optimization mechanisms produce…

Data Structures and Algorithms · Computer Science 2025-07-22 Aqsa Ashraf Makhdomi , Iqra Altaf Gillani

Multi-task learning (MTL), which aims to improve performance by learning multiple tasks simultaneously, inherently presents an optimization challenge due to multiple objectives. Hence, multi-objective optimization (MOO) approaches have been…

Artificial Intelligence · Computer Science 2021-10-08 Simyung Chang , KiYoon Yoo , Jiho Jang , Nojun Kwak

In our prior work we have proposed the use of GFlowNets, a generative AI (GenAI) framework, for designing a secure communication system comprising a time-modulated intelligent reflecting surface (TM-IRS). However, GFlowNet-based approaches…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Zhihao Tao , Athina P. Petropulu

Achieving good speed and accuracy trade-off on a target platform is very important in deploying deep neural networks in real world scenarios. However, most existing automatic architecture search approaches only concentrate on high…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Xin Li , Yiming Zhou , Zheng Pan , Jiashi Feng

In the framework of convolutional neural networks that lie at the heart of deep learning, downsampling is often performed with a max-pooling operation that only retains the element with maximum activation, while completely discarding the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-17 Ashwani Kumar

Decentralized optimization to minimize a finite sum of functions over a network of nodes has been a significant focus within control and signal processing research due to its natural relevance to optimal control and signal estimation…

Machine Learning · Computer Science 2020-09-15 Ran Xin , Shi Pu , Angelia Nedić , Usman A. Khan

The integration of intermittent and stochastic renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on…

Optimization and Control · Mathematics 2014-11-05 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal