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Primal-dual interior-point methods solve constrained convex optimization problems to tight tolerances with speed and robustness. Their solutions are also efficiently differentiable with respect to the problem data through the implicit…

Optimization and Control · Mathematics 2026-05-19 Jon Arrizabalaga , Kevin Tracy , Zachary Manchester

This paper proposes a new framework for the optimization of excitation inputs for system identification. The optimization problem considered is to maximize a reduced Fisher information matrix in any of the classical D-, E-, or A-optimal…

Optimization and Control · Mathematics 2016-11-17 Ian R. Manchester

This paper proposes a learning-based approach to accelerate the interior-point method (IPM) for solving optimal power flow (OPF) problems by learning the structure of the IPM central path from its early stable iterations. Unlike traditional…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Farshad Amani , Amin Kargarian , Ramachandran Vaidyanathan

We propose a family of search directions based on primal-dual entropy in the context of interior-point methods for linear optimization. We show that by using entropy based search directions in the predictor step of a predictor-corrector…

Optimization and Control · Mathematics 2014-10-31 Mehdi Karimi , Shen Lou , Levent Tunçel

An algorithm based on the interior-point methodology for solving continuous nonlinearly constrained optimization problems is proposed, analyzed, and tested. The distinguishing feature of the algorithm is that it presumes that only noisy…

Optimization and Control · Mathematics 2025-02-18 Frank E. Curtis , Shima Dezfulian , Andreas Waechter

Emerging applications in multi-agent environments such as internet-of-things, networked sensing, autonomous systems and federated learning, call for decentralized algorithms for finite-sum optimizations that are resource-efficient in terms…

Machine Learning · Statistics 2021-12-03 Boyue Li , Zhize Li , Yuejie Chi

The Electro-Encephalo-Graphy (EEG) technique consists of estimating the cortical distribution of signals over time of electrical activity and also of locating the zones of primary sensory projection. Moreover, it is able to record…

Signal Processing · Electrical Eng. & Systems 2021-12-02 Ridha jarray , Abir Hadriche , Cokri ben Amar , Nawel Jmail

We propose and analyse primal-dual interior-point algorithms for convex optimization problems in conic form. The families of algorithms we analyse are so-called short-step algorithms and they match the current best iteration complexity…

Optimization and Control · Mathematics 2014-11-11 Tor Myklebust , Levent Tunçel

In this study, the neuronal current in the brain is represented using Helmholtz decomposition. It was shown in earlier work that data obtained via electroencephalography (EEG) are affected only by the irrotational component of the current.…

Computational Physics · Physics 2019-06-05 Parham Hashemzadeh , A. S. Fokas , C. B. Schönlieb

In this work, we propose an optimization framework for estimating a sparse robust one-dimensional subspace. Our objective is to minimize both the representation error and the penalty, in terms of the l1-norm criterion. Given that the…

Machine Learning · Statistics 2024-03-07 Xiao Ling , Paul Brooks

Wavefront phase retrieval from a set of intensity measurements can be formulated as an optimization problem. Two nonconvex objective models (MLP and its variants LS) based on maximum likelihood estimation are investigated. We develop…

Optimization and Control · Mathematics 2016-07-08 Ji Li , Tie Zhou

A major shortcoming of medical practice is the lack of an objective measure of conscious level. Impairment of consciousness is common, e.g. following brain injury and seizures, which can also interfere with sensory processing and volitional…

Neurons and Cognition · Quantitative Biology 2025-12-24 Alexis Pomares Pastor , Ines Ribeiro Violante , Gregory Scott

We present a novel method called TESALOCS (TEnsor SAmpling and LOCal Search) for multidimensional optimization, combining the strengths of gradient-free discrete methods and gradient-based approaches. The discrete optimization in our method…

Optimization and Control · Mathematics 2025-05-20 Konstantin Sozykin , Andrei Chertkov , Anh-Huy Phan , Ivan Oseledets , Gleb Ryzhakov

This paper studies a classic maximum entropy sampling problem (MESP), which aims to select the most informative principal submatrix of a prespecified size from a covariance matrix. MESP has been widely applied to many areas, including…

Machine Learning · Statistics 2023-05-02 Yongchun Li , Weijun Xie

High-energy physics experiments face extreme data rates, requiring real-time trigger systems to reduce event throughput while preserving sensitivity to rare processes. Trigger systems are typically constructed as modular chains of…

High Energy Physics - Experiment · Physics 2026-03-10 Noah Clarke Hall , Ioannis Xiotidis , Nikos Konstantinidis , David W. Miller

Constrained optimization problems appear in a wide variety of challenging real-world problems, where constraints often capture the physics of the underlying system. Classic methods for solving these problems rely on iterative algorithms…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Meiyi Li , Soheil Kolouri , Javad Mohammadi

Input design is an important issue for classical system identification methods but has not been investigated for the kernel-based regularization method (KRM) until very recently. In this paper, we consider in the time domain the input…

Systems and Control · Computer Science 2017-08-21 Biqiang Mu , Tianshi Chen

Performance optimization is the art of continuous seeking a harmonious mapping between the application domain and hardware. Recent years have witnessed a surge of deep learning (DL) applications in industry. Conventional wisdom for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-27 Guoping Long , Jun Yang , Wei Lin

We present a head-to-head evaluation of the Improved Inexact--Newton--Smart (INS) algorithm against a primal--dual interior-point framework for large-scale nonlinear optimization. On extensive synthetic benchmarks, the interior-point method…

Optimization and Control · Mathematics 2025-11-18 Neda Bagheri Renani , Maryam Jaefarzadeh , Daniel Sevcovic

Constraint Optimization Problems (COP) pose intricate challenges in combinatorial problems usually addressed through Branch and Bound (B\&B) methods, which involve maintaining priority queues and iteratively selecting branches to search for…

Artificial Intelligence · Computer Science 2023-12-27 Yingkai Xiao , Jingjin Liu , Hankz Hankui Zhuo