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Deep learning-based methods deliver state-of-the-art performance for solving inverse problems that arise in computational imaging. These methods can be broadly divided into two groups: (1) learn a network to map measurements to the signal…

Image and Video Processing · Electrical Eng. & Systems 2023-10-11 Nebiyou Yismaw , Ulugbek S. Kamilov , M. Salman Asif

Benders decomposition (BD) is a widely used solution approach for solving two-stage stochastic programs arising in real-world decision-making under uncertainty. However, it often suffers from slow convergence as the master problem grows…

Optimization and Control · Mathematics 2026-05-08 Haochen Cai , Xian Yu

We address the problem of solving convex optimization problems with many convex constraints in a distributed setting. Our approach is based on an extension of the alternating direction method of multipliers (ADMM) that recently gained a lot…

Optimization and Control · Mathematics 2018-04-09 Joachim Giesen , Sören Laue

Extended formulations are an important tool in polyhedral combinatorics. Many combinatorial optimization problems require an exponential number of inequalities when modeled as a linear program in the natural space of variables. However, by…

Optimization and Control · Mathematics 2024-06-07 Christoph Buchheim

Randomized linear solvers randomly compress and solve a linear system with compelling theoretical convergence rates and computational complexities. However, such solvers suffer a substantial disconnect between their theoretical rates and…

Numerical Analysis · Mathematics 2023-05-01 Vivak Patel , Mohammad Jahangoshahi , Daniel Adrian Maldonado

Active learning parallelization is widely used, but typically relies on fixing the batch size throughout experimentation. This fixed approach is inefficient because of a dynamic trade-off between cost and speed -- larger batches are more…

Machine Learning · Computer Science 2024-10-15 Masaki Adachi , Satoshi Hayakawa , Martin Jørgensen , Xingchen Wan , Vu Nguyen , Harald Oberhauser , Michael A. Osborne

Bundle Adjustment (BA) refers to the problem of simultaneous determination of sensor poses and scene geometry, which is a fundamental problem in robot vision. This paper presents an efficient and consistent bundle adjustment method for…

Robotics · Computer Science 2024-06-18 Zheng Liu , Xiyuan Liu , Fu Zhang

In this paper we discuss a deterministic form of ensemble Kalman inversion as a regularization method for linear inverse problems. By interpreting ensemble Kalman inversion as a low-rank approximation of Tikhonov regularization, we are able…

Numerical Analysis · Mathematics 2023-10-31 Fabian Parzer , Otmar Scherzer

This work presents a general framework for the operationally driven optimal siting and sizing of battery energy storage systems in power transmission networks, aimed at enhancing their resource adequacy. The approach considers multi-period…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Ginevra Larroux , Matthieu Jacobs , Keyu Jia , Fabrizio Sossan , Mario Paolone

Recently a new class of techniques termed the max-plus curse of dimensionality-free methods have been developed to solve nonlinear optimal control problems. In these methods the discretization in state space is avoided by using a max-plus…

Optimization and Control · Mathematics 2015-01-05 Stephane Gaubert , Zheng Qu , Srinivas Sridharan

We shall investigate randomized algorithms for solving large-scale linear inverse problems with general regularizations. We first present some techniques to transform inverse problems of general form into the ones of standard form, then…

Numerical Analysis · Mathematics 2014-12-30 Hua Xiang , Jun Zou

Bundle adjustment (BA) with parallax angle based feature parameterization has been shown to have superior performance over BA using inverse depth or XYZ feature forms. In this paper, we propose an improved version of the parallax BA…

Robotics · Computer Science 2018-07-11 Liyang Liu , Teng Zhang , Yi Liu , Brenton Leighton , Liang Zhao , Shoudong Huang , Gamini Dissanayake

This paper presents a proximal bundle (PB) framework based on a generic bundle update scheme for solving the hybrid convex composite optimization (HCCO) problem and establishes a common iteration-complexity bound for any variant belonging…

Optimization and Control · Mathematics 2023-03-29 Jiaming Liang , Renato D. C. Monteiro

Data augmentation has been proven to be an effective technique for developing machine learning models that are robust to known classes of distributional shifts (e.g., rotations of images), and alignment regularization is a technique often…

Machine Learning · Computer Science 2022-06-07 Haohan Wang , Zeyi Huang , Xindi Wu , Eric P. Xing

We introduce a numerical linked cluster expansion for square-lattice models whose building block is an L-shape cluster. For the spin-1/2 models studied in this work, we find that this expansion exhibits a similar or better convergence of…

Statistical Mechanics · Physics 2025-07-10 Mahmoud Abdelshafy , Marcos Rigol

In this paper, a short-term load forecasting approach based network reconfiguration is proposed in a parallel manner. Specifically, a support vector regression (SVR) based short-term load forecasting approach is designed to provide an…

Systems and Control · Computer Science 2017-11-30 Yi Gu , Huaiguang Jiang , Jun Jason Zhang , Yingchen Zhang , Eduard Muljadi , Francisco J. Solis

Optimal decision-making is key to efficient allocation and scheduling of repair resources (e.g., crews) to service affected nodes of large power grid networks. Traditional manual restoration methods are inadequate for modern smart grids…

Optimization and Control · Mathematics 2024-04-23 Harshal D. Kaushik , Roshni Anna Jacob , Souma Chowdhury , Jie Zhang

In this paper, we present a distributed algorithm for the reconstruction of large-scale nonlinear networks. In particular, we focus on the identification from time-series data of the nonlinear functional forms and associated parameters of…

Optimization and Control · Mathematics 2014-03-31 Wei Pan , Aivar Sootla , Guy-Bart Stan

Gradient boosting algorithms construct a regression predictor using a linear combination of ``base learners''. Boosting also offers an approach to obtaining robust non-parametric regression estimators that are scalable to applications with…

Methodology · Statistics 2020-08-11 Xiaomeng Ju , Matías Salibián-Barrera

Deep learning-based methods have revolutionized the field of imaging inverse problems, yielding state-of-the-art performance across various imaging domains. The best performing networks incorporate the imaging operator within the network…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Romain Vo , Julián Tachella