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Inspired by the quantum computing algorithms for Linear Algebra problems [HHL,TaShma] we study how the simulation on a classical computer of this type of "Phase Estimation algorithms" performs when we apply it to solve the Eigen-Problem of…

数据结构与算法 · 计算机科学 2017-04-07 Michael Ben-Or , Lior Eldar

This paper examines the problem of state estimation in power distribution systems under low-observability conditions. The recently proposed constrained matrix completion method which combines the standard matrix completion method and power…

最优化与控制 · 数学 2020-06-09 Yajing Liu , April Sagan , Andrey Bernstein , Rui Yang , Xinyang Zhou , Yingchen Zhang

We consider an optimization problem related to semi-active damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use a minimization…

动力系统 · 数学 2017-07-07 Zoran Tomljanović , Christopher Beattie , Serkan Gugercin

In this paper, we compute the eigenvalue problem (EVP) for the semiclassical random Schr\"odinger operators, where the random potentials are parameterized by an infinite series of random variables. After truncating the series, we introduce…

数值分析 · 数学 2025-02-12 Panchi Li , Zhiwen Zhang

In this paper, a novel modulation scheme called set partition modulation (SPM) is proposed. In this scheme, set partitioning and ordered subsets in the set partitions are used to form codewords. We define different SPM variants and depict a…

信号处理 · 电气工程与系统科学 2019-10-25 Ferhat Yarkin , Justin P. Coon

The Partitioning Min-Max Weighted Matching (PMMWM) problem is an NP-hard problem that combines the problem of partitioning a group of vertices of a bipartite graph into disjoint subsets with limited size and the classical Min-Max Weighted…

数据结构与算法 · 计算机科学 2022-01-26 Yuxuan Wang , Jinyao Xie , Jiongzhi Zheng , Kun He

We describe a method for improving coherent control through the use of detailed knowledge of the system's Hamiltonian. Precise unitary transformations were obtained by strongly modulating the system's dynamics to average out unwanted…

#SMT, or model counting for logical theories, is a well-known hard problem that generalizes such tasks as counting the number of satisfying assignments to a Boolean formula and computing the volume of a polytope. In the realm of…

计算机科学中的逻辑 · 计算机科学 2015-10-30 Dmitry Chistikov , Rayna Dimitrova , Rupak Majumdar

An instance $I$ of the Stable Matching Problem (SMP) is given by a bipartite graph with a preference list of neighbors for every vertex. A swap in $I$ is the exchange of two consecutive vertices in a preference list. A swap can be viewed as…

数据结构与算法 · 计算机科学 2022-11-16 Eduard Eiben , Gregory Gutin , Philip R. Neary , Clément Rambaud , Magnus Wahlström , Anders Yeo

Modal analysis is the process of estimating a system's modal parameters such as its natural frequencies and mode shapes. One application of modal analysis is in structural health monitoring (SHM), where a network of sensors may be used to…

信息论 · 计算机科学 2018-03-14 Shuang Li , Dehui Yang , Gongguo Tang , Michael B. Wakin

This work considers the problem of selecting sensors in a large scale system to minimize the error in estimating its states. More specifically, the state estimation mean-square error(MSE) and worst-case error for Kalman filtering and…

最优化与控制 · 数学 2020-02-24 Luiz F. O. Chamon , George J. Pappas , Alejandro Ribeiro

We propose a novel scheme that allows MIMO system to modulate a set of permutation matrices to send more information bits, extending our initial work on the topic. This system is called Permutation Matrix Modulation (PMM). The basic idea is…

信息论 · 计算机科学 2022-12-27 Rahmat Faddli Siregar , Nandana Rajatheva , Matti Latva-Aho

Dense linear layers are a dominant source of computational and parametric cost in modern machine learning models, despite their quadratic complexity and often being misaligned with the compositional structure of learned representations. We…

机器学习 · 计算机科学 2026-01-01 Peter Farag

he segment minimization problem consists of finding the smallest set of integer matrices that sum to a given intensity matrix, such that each summand has only one non-zero value, and the non-zeroes in each row are consecutive. This has…

数据结构与算法 · 计算机科学 2011-09-27 Therese Biedl , Stephane Durocher , Holger H. Hoos , Shuang Luan , Jared Saia , Maxwell Young

Time-multiplexed Spinwave Ising Machines (SWIMs) have unveiled a route towards miniaturized, low-cost, and low-power solvers of combinatorial optimization problems. While the number of supported spins is limited by the nonlinearity of the…

介观与纳米尺度物理 · 物理学 2023-11-14 Artem Litvinenko , Roman Khymyn , Roman Ovcharov , Johan Åkerman

In this paper we generalize the Interior Point-Proximal Method of Multipliers (IP-PMM) presented in [An Interior Point-Proximal Method of Multipliers for Convex Quadratic Programming, Computational Optimization and Applications, 78,…

最优化与控制 · 数学 2021-09-09 Spyridon Pougkakiotis , Jacek Gondzio

Optimized Pulse Patterns (OPPs) are gaining increasing popularity in the power electronics community over the well-studied pulse width modulation due to their inherent ability to provide the switching instances that optimize current…

最优化与控制 · 数学 2020-10-29 Lukas Wachter , Orcun Karaca , Georgios Darivianakis , Themistoklis Charalambous

Modular multilevel converters have promising applications in clean energy, electric vehicles, and biomedical instrumentation, but need many modules to achieve fine output granularity, particularly of the voltage. Asymmetric multilevel…

信号处理 · 电气工程与系统科学 2025-09-19 Jinshui Zhang , Angel V Peterchev , Stefan M Goetz

An estimation problem of fundamental interest is that of phase synchronization, in which the goal is to recover a collection of phases using noisy measurements of relative phases. It is known that in the Gaussian noise setting, the maximum…

最优化与控制 · 数学 2016-11-02 Huikang Liu , Man-Chung Yue , Anthony Man-Cho So

In this paper, we develop a computational multiscale to solve the parabolic wave approximation with heterogeneous and variable media. Parabolic wave approximation is a technique to approximate the full wave equation. One benefit of the…

数值分析 · 数学 2021-04-07 Eric Chung , Yalchin Efendiev , Sai-Mang Pun , Zecheng Zhang