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The paper covers a formulation of the inverse quadratic programming problem in terms of unconstrained optimization where it is required to find the unknown parameters (the matrix of the quadratic form and the vector of the quasi-linear part…

Numerical Analysis · Computer Science 2017-01-09 E. G. Abramov

We introduce a framework for performing the inverse imaging of composite elastic materials. Our technique uses surface acoustic wave (SAW) boundary observations within a minimization problem to express the interior composition of the…

Numerical Analysis · Mathematics 2019-03-15 Elliott Ginder , Riku Kanai

Simulating high-resolution Synthetic Aperture Radar (SAR) images in complex scenes has consistently presented a significant research challenge. The development of a microwave-domain surface scattering model and its reversibility are poised…

Computer Vision and Pattern Recognition · Computer Science 2024-01-03 Jiangtao Wei , Yixiang Luomei , Xu Zhang , Feng Xu

This work continues the development of the raytracing method of [1] for computing the scattered fields from metasurfaces characterized by locally periodic reflection and transmission coefficients. In this work, instead of describing the…

Optics · Physics 2022-02-16 Scott Stewart , Yvo L. C. de Jong , Tom J. Smy , Shulabh Gupta

We propose an alternating direction method of multipliers (ADMM) to solve an optimization problem stemming from inverse lithography. The objective functional of the optimization problem includes three terms: the misfit between the imaging…

Numerical Analysis · Mathematics 2026-04-21 Junqing Chen , Haibo Liu

The inherently high computational cost of iterative self-consistent-field (SCF) methods proves to be a critical issue delaying visual and haptic feedback in real-time quantum chemistry. In this work, we introduce two schemes for SCF…

Chemical Physics · Physics 2016-03-10 Adrian H. Mühlbach , Alain C. Vaucher , Markus Reiher

This paper addresses the optimization problem of minimizing non-convex continuous functions, which is relevant in the context of high-dimensional machine learning applications characterized by over-parametrization. We analyze a randomized…

Machine Learning · Computer Science 2025-02-28 Jim Zhao , Aurelien Lucchi , Nikita Doikov

In this work, we construct a novel numerical method for solving the multi-marginal optimal transport problems with Coulomb cost. This type of optimal transport problems arises in quantum physics and plays an important role in understanding…

Optimization and Control · Mathematics 2023-06-16 Yukuan Hu , Huajie Chen , Xin Liu

A universal and flexible design method for freeform surface that can modulate the distribution of an zero-\'etendue source to an arbitrary irradiance distribution is a significant challenge in the field of non-imaging optics. Current design…

Optics · Physics 2023-03-31 Haoqiang Wang , Zihan Zang , Yunpeng Xu , Yanjun Han , Hongtao Li , Yi Luo

We propose to address the problem of a secondary resource allocation when a primary Incremental Redundancy Hybrid Automatic Repeat reQuest (IR-HARQ) protocol. The Secondary Users (SUs) intend to use their knowledge of the IR-HARQ protocol…

Information Theory · Computer Science 2013-06-25 Romain Tajan , Charly Poulliat , Inbar Fijalkow

In this paper, we formulate the precoding problem of integrated sensing and communication (ISAC) waveform as a non-convex quadratically constrainted quadratic program (QCQP), in which the weighted sum of communication multi-user…

Signal Processing · Electrical Eng. & Systems 2024-02-13 Yating Chen , Cai Wen , Yan Huang , Le Liang , Jie Li , Hui Zhang , Wei Hong

Inverse boundary value problems for the radiative transport equation play important roles in optics-based medical imaging techniques such as diffuse optical tomography (DOT) and fluorescence optical tomography (FOT). Despite the rapid…

Numerical Analysis · Mathematics 2015-06-19 Tian Ding , Kui Ren

In recent years, there has been an increasing demand for ubiquitous streaming like applications in data networks. In this paper, we concentrate on NUM-based rate allocation for streaming applications with the so-called S-curve utility…

Networking and Internet Architecture · Computer Science 2015-03-19 Ali Sehati , Mohammad Sadegh Talebi , Ahmad Khonsari

Recently, intelligent reflecting surface (IRS) has emerged as an appealing technique that enables wireless communications with low hardware cost and low power consumption. In this letter, we consider an IRS-assisted point-to-point…

Information Theory · Computer Science 2020-04-17 Boyu Ning , Zhi Chen , Wenjie Chen , Jun Fang

We propose an algorithm to reconstruct explicit polygonal meshes from discretely sampled Signed Distance Function (SDF) data, which is especially effective at recovering sharp features. Building on the traditional Dual Contouring of Hermite…

Graphics · Computer Science 2026-04-02 Xiana Carrera , Ningna Wang , Christopher Batty , Oded Stein , Silvia Sellán

Radiotherapy planning naturally leads to a multi-criteria optimization problem which is subject to different sources of uncertainty. In order to find the desired treatment plan, a decision maker must balance these objectives as well as the…

Optimization and Control · Mathematics 2026-01-27 Jan Schröeder , Yair Censor , Philipp Süss , Karl-Heinz Küfer

Reconfigurable intelligent surface (RIS) provides a promising way to build the programmable wireless transmission environments in the future. Owing to the large number of reflecting elements used at the RIS, joint optimization for the…

Information Theory · Computer Science 2021-01-11 Xiaoyan Ma , Shuaishuai Guo , Haixia Zhang , Yuguang Fang , Dongfeng Yuan

This paper focuses on the design of sequential quadratic optimization (commonly known as SQP) methods for solving large-scale nonlinear optimization problems. The most computationally demanding aspect of such an approach is the computation…

Optimization and Control · Mathematics 2020-02-27 James V. Burke , Frank E. Curtis , Hao Wang , Jiashan Wang

In this paper we consider finding an approximate second-order stationary point (SOSP) of nonconvex conic optimization that minimizes a twice differentiable function over the intersection of an affine subspace and a convex cone. In…

Optimization and Control · Mathematics 2022-10-12 Chuan He , Zhaosong Lu

We propose a novel design of a dual-function radar communication (DFRC) system aided by an Intelligent Reflecting Surface (IRS). We consider a scenario with one target and multiple communication receivers, where there is no line-of-sight…

Signal Processing · Electrical Eng. & Systems 2022-04-12 Yikai Li , Athina Petropulu