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This paper examines the nonconvex quadratically constrained quadratic programming (QCQP) problems using an iterative method. One of the existing approaches for solving nonconvex QCQP problems relaxes the rank one constraint on the unknown…

最优化与控制 · 数学 2016-09-12 Chuangchuang Sun , Ran Dai

In this work an iterative algorithm based on unsupervised learning is presented, specifically on a Restricted Boltzmann Machine (RBM) to solve a perfect matching problem on a bipartite weighted graph. Iteratively is calculated the weights…

最优化与控制 · 数学 2019-05-03 Francesco Curia

Bayesian approaches are one of the primary methodologies to tackle an inverse problem in high dimensions. Such an inverse problem arises in hydrology to infer the permeability field given flow data in a porous media. It is common practice…

统计方法学 · 统计学 2023-10-02 Navid Shervani-Tabar

This paper develops an envelope-based approach to establish a link between information and queueing theory. Unlike classical, equilibrium information theory, information envelopes focus on the dynamics of sources and coders, using functions…

性能 · 计算机科学 2015-03-19 Ralf Lübben , Markus Fidler

The article poses a general model for optimal control subject to information constraints, motivated in part by recent work of Sims and others on information-constrained decision-making by economic agents. In the average-cost optimal control…

最优化与控制 · 数学 2016-02-24 Ehsan Shafieepoorfard , Maxim Raginsky , Sean P. Meyn

Multiquery planning algorithms find paths between various different starts and goals in a single search space. They are designed to do so efficiently by reusing information across planning queries. This information may be computed before or…

机器人学 · 计算机科学 2023-04-20 Valentin N. Hartmann , Marlin P. Strub , Marc Toussaint , Jonathan D. Gammell

A two-user downlink network aided by a reconfigurable intelligent surface is considered. The weighted sum signal to interference plus noise ratio maximization and the sum rate maximization models are presented, where the precoding vectors…

信号处理 · 电气工程与系统科学 2022-02-15 Cong Sun , Xian Liu , Bile Peng , Eduard Jorswieck

A demanding challenge in Bayesian inversion is to efficiently characterize the posterior distribution. This task is problematic especially in high-dimensional non-Gaussian problems, where the structure of the posterior can be very chaotic…

统计理论 · 数学 2015-06-04 Tapio Helin , Martin Burger

We present a new approach to the electromagnetic inverse problem that explicitly addresses the ambiguity associated with its ill-posed character. Rather than calculating a single ``best'' solution according to some criterion, our approach…

神经元与认知 · 定量生物学 2007-05-23 David M. Schmidt , John S. George , C. C. Wood

This paper uses Euclidean Information Theory (EIT) to analyze the wiretap channel. We investigate a scenario of efficiently transmitting a small amount of information subject to compression rate and secrecy constraints. We transform the…

信息论 · 计算机科学 2024-03-21 Emmanouil M. Athanasakos , Nicholas Kalouptsidis , Hariprasad Manjunath

We study the capacity of a quantum channel for retrocausal communication, where messages are transmitted backward in time, from a sender in the future to a receiver in the past, through a noisy postselected closed timelike curve (P-CTC)…

量子物理 · 物理学 2026-04-17 Kaiyuan Ji , Seth Lloyd , Mark M. Wilde

Distinguishability is fundamental to information theory and extends naturally to quantum systems. While quantum state discrimination is well understood, quantum channel discrimination remains challenging due to the dynamic nature of…

量子物理 · 物理学 2025-07-15 Kun Fang , Gilad Gour , Xin Wang

The electrical impedance tomography (EIT) problem of estimating the unknown conductivity distribution inside a domain from boundary current or voltage measurements requires the solution of a nonlinear inverse problem. Sparsity promoting…

数值分析 · 数学 2024-05-27 Daniela Calvetti , Monica Pragliola , Erkki Somersalo

In image processing, Total Variation (TV) regularization models are commonly used to recover blurred images. One of the most efficient and popular methods to solve the convex TV problem is the Alternating Direction Method of Multipliers…

最优化与控制 · 数学 2019-10-02 Tao Sun , Roberto Barrio , Marcos Rodriguez , Hao Jiang

In this paper, we study a new approach related to the convergence analysis of Ishikawa-type iterative models to a common fixed point of two non-expansive mappings in Banach spaces. The main novelty of our contribution lies in the so-called…

In this paper, a reconstruction method for the spatially distributed dielectric constant of a medium from the back scattering wave field in the frequency domain is considered. Our approach is to propose a globally convergent algorithm,…

偏微分方程分析 · 数学 2016-03-01 Michael V. Klibanov , Loc H. Nguyen , Anders Sullivan , Lam Nguyen

Intelligent reflecting surface (IRS) is a promising solution to enhance the wireless communication capacity both cost-effectively and energy-efficiently, by properly altering the signal propagation via tuning a large number of passive…

信息论 · 计算机科学 2019-10-04 Shuowen Zhang , Rui Zhang

The constrained minimization (respectively maximization) of directed distances and of related generalized entropies is a fundamental task in information theory as well as in the adjacent fields of statistics, machine learning, artificial…

信息论 · 计算机科学 2024-10-28 Michel Broniatowski , Wolfgang Stummer

In this paper, the sum capacity of the Gaussian Multiple Input Multiple Output (MIMO) Cognitive Radio Channel (MCC) is expressed as a convex problem with finite number of linear constraints, allowing for polynomial time interior point…

信息论 · 计算机科学 2008-02-29 Rajiv Soundararajan , Sriram Vishwanath

Electrical impedance tomography (EIT) is a non-invasive imaging method in which an unknown physical body is probed with electric currents applied on the boundary, and the internal conductivity distribution is recovered from the measured…

数值分析 · 数学 2014-02-07 Sarah Jane Hamilton , Samuli Siltanen