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The Optimal Power Flow (OPF) problem is a fundamental building block for the optimization of electrical power systems. It is nonlinear and nonconvex and computes the generator setpoints for power and voltage, given a set of load demands. It…

Signal Processing · Electrical Eng. & Systems 2019-12-04 Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

In this paper, we present a deep neural network based adaptive learning (DNN-AL) approach for switched systems. Currently, deep neural network based methods are actively developed for learning governing equations in unknown dynamic systems,…

Machine Learning · Computer Science 2022-07-12 Junjie He , Zhihang Xu , Qifeng Liao

A new data-driven method for operator learning of stochastic differential equations(SDE) is proposed in this paper. The central goal is to solve forward and inverse stochastic problems more effectively using limited data. Deep operator…

Machine Learning · Statistics 2022-04-08 Jiahao Zhang , Shiqi Zhang , Guang Lin

An important application of neural networks to scientific computing has been the learning of non-linear operators. In this framework, a neural network is trained to fit a non-linear map between two infinite dimensional spaces, for example,…

Machine Learning · Computer Science 2026-02-03 Shao-Ting Chiu , Aditya Nambiar , Ali Syed , Jonathan W. Siegel , Ulisses Braga-Neto

There exists many resource allocation problems in the field of wireless communications which can be formulated as the generalized assignment problems (GAP). GAP is a generic form of linear sum assignment problem (LSAP) and is more…

Machine Learning · Computer Science 2021-03-29 Arjun Kaushik , Mehrazin Alizadeh , Omer Waqar , Hina Tabassum

Designing universal artificial intelligence (AI) solver for partial differential equations (PDEs) is an open-ended problem and a significant challenge in science and engineering. Currently, data-driven solvers have achieved great success,…

Machine Learning · Computer Science 2025-02-24 Qinglong Ma , Peizhi Zhao , Sen Wang , Tao Song

Recently, a deep reinforcement learning method is proposed to solve multiobjective optimization problem. In this method, the multiobjective optimization problem is decomposed to a number of single-objective optimization subproblems and all…

Neural and Evolutionary Computing · Computer Science 2020-02-14 Hong Wu , Jiahai Wang , Zizhen Zhang

In recent years, deep neural networks (DNNs) have been found very successful for multi-label classification (MLC) of remote sensing (RS) images. Self-supervised pre-training combined with fine-tuning on a randomly selected small training…

Computer Vision and Pattern Recognition · Computer Science 2023-06-22 Lars Möllenbrok , Begüm Demir

The scarcity of labelled data makes training Deep Neural Network (DNN) models in bioacoustic applications challenging. In typical bioacoustics applications, manually labelling the required amount of data can be prohibitively expensive. To…

Sound · Computer Science 2024-07-02 Md Mohaimenuzzaman , Christoph Bergmeir , Bernd Meyer

Physics-informed Neural Networks (PINNs) have been shown as a promising approach for solving both forward and inverse problems of partial differential equations (PDEs). Meanwhile, the neural operator approach, including methods such as Deep…

Machine Learning · Computer Science 2023-10-31 Bin Lin , Zhiping Mao , Zhicheng Wang , George Em Karniadakis

Solving constrained nonlinear optimization problems (CNLPs) is a longstanding problem that arises in various fields, e.g., economics, computer science, and engineering. We propose optimization-informed neural networks (OINN), a deep…

Optimization and Control · Mathematics 2023-06-27 Dawen Wu , Abdel Lisser

Neural operator learning directly constructs the mapping relationship from the equation parameter space to the solution space, enabling efficient direct inference in practical applications without the need for repeated solution of partial…

Machine Learning · Computer Science 2026-04-28 Heng Wu , Junjie Wang , Benzhuo Lu

Deep neural networks (DNNs) typically employ an end-to-end (E2E) training paradigm which presents several challenges, including high GPU memory consumption, inefficiency, and difficulties in model parallelization during training. Recent…

Computer Vision and Pattern Recognition · Computer Science 2024-12-23 Yuming Zhang , Shouxin Zhang , Peizhe Wang , Feiyu Zhu , Dongzhi Guan , Junhao Su , Jiabin Liu , Changpeng Cai

Interpretation of Deep Neural Networks (DNNs) training as an optimal control problem with nonlinear dynamical systems has received considerable attention recently, yet the algorithmic development remains relatively limited. In this work, we…

Machine Learning · Computer Science 2021-06-14 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

Automated mathematical reasoning is a challenging problem that requires an agent to learn algebraic patterns that contain long-range dependencies. Two particular tasks that test this type of reasoning are (1) mathematical equation…

Machine Learning · Computer Science 2021-04-08 Ankur Mali , Alexander Ororbia , Daniel Kifer , C. Lee Giles

In recent years, Artificial Neural Networks (ANNs) and Deep Learning have become increasingly popular across a wide range of scientific and technical fields, including Fluid Mechanics. While it will take time to fully grasp the…

Fluid Dynamics · Physics 2020-01-09 Jean Rabault , Feng Ren , Wei Zhang , Hui Tang , Hui Xu

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

Optimization and Control · Mathematics 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

Differentiable solvers for the linear assignment problem (LAP) have attracted much research attention in recent years, which are usually embedded into learning frameworks as components. However, previous algorithms, with or without learning…

Machine Learning · Computer Science 2022-01-07 He Liu , Tao Wang , Congyan Lang , Songhe Feng , Yi Jin , Yidong Li

This paper proposes an input convex neural network (ICNN)-Assisted optimal power flow (OPF) in distribution networks. Instead of relying purely on optimization or machine learning, the ICNN-Assisted OPF is a combination of optimization and…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Rui Cheng , Yuze Yang , Wenxia Liu , Nian Liu , Zhaoyu Wang

As deep learning is pervasive in modern applications, many deep learning frameworks are presented for deep learning practitioners to develop and train DNN models rapidly. Meanwhile, as training large deep learning models becomes a trend in…

Machine Learning · Computer Science 2023-03-09 Cody Hao Yu , Haozheng Fan , Guangtai Huang , Zhen Jia , Yizhi Liu , Jie Wang , Zach Zheng , Yuan Zhou , Haichen Shen , Junru Shao , Mu Li , Yida Wang