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The question of fast convergence in the classical problem of high dimensional linear regression has been extensively studied. Arguably, one of the fastest procedures in practice is Iterative Hard Thresholding (IHT). Still, IHT relies…

Statistics Theory · Mathematics 2020-08-28 Mohamed Ndaoud

In this letter, we describe and develop edge-based and node-based formulations for combined-cycle units (CCUs) with different levels of accuracy in respecting physical restrictions of each turbine, from no restriction requirement of each…

Optimization and Control · Mathematics 2018-08-06 Yongpei Guan , Lei Fan , Yanan Yu

Convex hulls are fundamental objects in computational geometry. In moderate dimensions or for large numbers of vertices, computing the convex hull can be impractical due to the computational complexity of convex hull algorithms. In this…

Computational Geometry · Computer Science 2017-06-16 Robert Graham , Adam M. Oberman

In this paper, we study the low-complexity iterative soft-input soft-output (SISO) detection algorithm in a large-scale distributed multiple-input multiple-output (MIMO) system. The uplink interference suppression matrix is designed to…

Signal Processing · Electrical Eng. & Systems 2018-11-20 Yuan Feng , Menghan Wang , Dongming Wang , Xiaohu You

In this paper we consider $l_0$ regularized convex cone programming problems. In particular, we first propose an iterative hard thresholding (IHT) method and its variant for solving $l_0$ regularized box constrained convex programming. We…

Optimization and Control · Mathematics 2012-11-05 Zhaosong Lu

We explore the combination of deterministic and Monte Carlo methods to facilitate efficient automatic numerical computation of multidimensional integrals with singular integrands. Two adaptive algorithms are presented that employ recursion…

Computational Physics · Physics 2009-11-07 N. Kauer

This paper presents an iterative geometric mean decomposition (IGMD) algorithm for multiple-input-multiple-output (MIMO) wireless communications. In contrast to the existing GMD algorithms, the proposed IGMD does not require the explicit…

Information Theory · Computer Science 2013-11-05 Chiao-En Chen , Chia-Hsiang Yang

One of the most difficult parts of motion planning in configuration space is ensuring a trajectory does not collide with task-space obstacles in the environment. Generating regions that are convex and collision free in configuration space…

Robotics · Computer Science 2023-03-28 Mark Petersen , Russ Tedrake

In this letter, we introduce a novel pilot design approach that minimizes the total mean square errors of the minimum mean square error estimators of all base stations (BSs) subject to the transmit power constraints of individual users in…

Information Theory · Computer Science 2018-03-06 Hayder Al-Salihi , Trinh Van Chien , Tuan Anh Le , Mohammad Reza Nakhai

We formulate the discovery of Lax integrability of Hamiltonian dynamical systems as a symbolic regression problem, which, loosely speaking, seeks to maximize the compatibility between a pair of Lax operators and the known Hamiltonian of the…

Exactly Solvable and Integrable Systems · Physics 2025-03-04 Jimmie Adriazola , Wei Zhu , Panayotis Kevrekidis , Alejandro Aceves

This paper studies the procurement and pricing of inertial response using a frequency-constrained unit commitment formulation, which co-optimizes the provision of energy and inertia services while accounting for their complementary…

Optimization and Control · Mathematics 2020-05-25 Matthieu Paturet , Uros Markovic , Stefanos Delikaraoglou , Evangelos Vrettos , Petros Aristidou , Garbiela Hug

We focus on the realistic maximization of the uplink minimum signal-to-interference-plus-noise ratio (SINR) of a general multiple-input single-output (MISO) system assisted by an intelligent reflecting surface (IRS) in the large system…

Information Theory · Computer Science 2021-07-07 Anastasios Papazafeiropoulos , Cunhua Pan , Ahmet Elbir , Van Nguyen , Pandelis Kourtessis , Symeon Chatzinotas

The spatial photonic Ising machine (SPIM) is a promising optical hardware solver for large-scale combinatorial optimization problems with dense interactions. As the SPIM can represent Ising problems with rank-one coupling matrices,…

Disordered Systems and Neural Networks · Physics 2026-02-03 Hiroshi Yamashita , Hideyuki Suzuki

The alternating-current unit commitment problem provides a realistic representation of power system operations, which is a nonconvex mixed-integer nonlinear programming problem and hence is computationally intractable. A common relaxation…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai

This paper proposes an open-source distributed solver for solving Sparse Convex Optimization (SCO) problems over computational networks. Motivated by past algorithmic advances in mixed-integer optimization, the Sparse Convex Optimization…

Optimization and Control · Mathematics 2022-11-01 Alireza Olama , Eduardo Camponogara , Jan Kronqvist

This paper introduces an interacting-particle optimization method tailored to possibly non-convex composite optimization problems, which arise widely in signal processing. The proposed method, \emph{ProxiCBO}, integrates consensus-based…

Optimization and Control · Mathematics 2026-04-20 Haoyu Zhang , Yanting Ma , Ruangrawee Kitichotkul , Joshua Rapp , Petros Boufounos

In this study, we propose the lopsided HSS (LHSS) iteration method for solving a class of complex symmetric indefinite systems of linear equations. This method employs an alternating iterative scheme, where each iteration entails solving…

Numerical Analysis · Mathematics 2025-11-27 Yusong Zhang , Zeng-Qi Wang

We study the distributed optimization of transmit strategies in a multiple-input, single-output (MISO) interference channel (IFC). Existing distributed algorithms rely on stricly synchronized update steps by the individual users. They…

Information Theory · Computer Science 2015-06-19 Stefan Wesemann , Gerhard Fettweis

Orbital optimization procedure is widely called in electronic structure simulation. To efficiently find the orbital optimization solution, we developed a new second order orbital optimization algorithm, co-iteration augmented Hessian (CIAH)…

Chemical Physics · Physics 2017-01-11 Qiming Sun

Importance sampling (IS) is a powerful Monte Carlo (MC) technique for approximating intractable integrals, for instance in Bayesian inference. The performance of IS relies heavily on the appropriate choice of the so-called proposal…

Computation · Statistics 2024-12-30 Ali Mousavi , Víctor Elvira