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Economic policy and research rely on the correct evaluation of the billions of high-frequency data points that we collect every day. Consistent clustering algorithms, like DBSCAN, allow us to make sense of the data in a useful way. However,…

统计理论 · 数学 2024-03-25 Nicholas Waltz

Splitting methods constitute a widely used class of numerical integrators for ordinary and partial differential equations, particularly well suited to problems that can be decomposed into simpler subproblems. High-order splitting schemes…

数值分析 · 数学 2026-04-02 Fernando Casas , Ander Murua

This paper proposes a new second-order symmetric algorithm for solving decoupled forward-backward stochastic differential equations. Inspired by the alternating direction implicit splitting method for partial differential equations, we…

数值分析 · 数学 2026-01-16 Wenbo Wang , Guangyan Jia

We introduce an efficient scheme to correct errors due to the finite squeezing effects in continuous-variable cluster states. Specifically, we consider the typical situation where the class of algorithms consists of input states that are…

量子物理 · 物理学 2018-10-10 Daiqin Su , Christian Weedbrook , Kamil Brádler

We investigate how originally localized two pieces of quantum information represented by a tensor product of two unknown qudit states are delocalized by performing two-qudit global unitary operations. To characterize the delocalization…

量子物理 · 物理学 2010-09-15 Akihito Soeda , Mio Murao

Numerous sophisticated local algorithm were suggested in the literature for various fundamental problems. Notable examples are the MIS and $(\Delta+1)$-coloring algorithms by Barenboim and Elkin [6], by Kuhn [22], and by Panconesi and…

分布式、并行与集群计算 · 计算机科学 2015-12-12 Amos Korman , Jean-Sébastien Sereni , Laurent Viennot

We study bipartite community detection in networks, or more generally the network biclustering problem. We present a fast two-stage procedure based on spectral initialization followed by the application of a pseudo-likelihood classifier…

统计理论 · 数学 2018-12-27 Zhixin Zhou , Arash A. Amini

We introduce unitary network, an oriented architecture for tensor network unitaries. Compared to existing architectures, in a unitary network each local tensor is required to be a unitary matrix upon suitable reshaping. Global unitarity is…

量子物理 · 物理学 2025-08-26 Wenqing Xie , Seishiro Ono , Hoi Chun Po

Local distinguishability of orthogonal product states is an area of active research in quantum information theory. However, most of the relevant results about local distinguishability found in bipartite quantum systems and very few are…

量子物理 · 物理学 2025-08-21 Atanu Bhunia , Indrani Chattopadhyay , Debasis Sarkar

Both bilevel and robust optimization are established fields of mathematical optimization and operations research. However, only until recently, the similarities in their mathematical structure has neither been studied theoretically nor…

最优化与控制 · 数学 2026-02-20 Henri Lefebvre , Martin Schmidt , Simon Stevens , Johannes Thürauf

We initiate the study of strategic behavior in screening processes with multiple classifiers. We focus on two contrasting settings: a conjunctive setting in which an individual must satisfy all classifiers simultaneously, and a sequential…

机器学习 · 计算机科学 2023-02-14 Lee Cohen , Saeed Sharifi-Malvajerdi , Kevin Stangl , Ali Vakilian , Juba Ziani

Partitioning a graph into blocks of roughly equal weight while cutting only few edges is a fundamental problem in computer science with numerous practical applications. While shared-memory parallel partitioners have recently matured to…

分布式、并行与集群计算 · 计算机科学 2024-06-06 Peter Sanders , Daniel Seemaier

We show that an arbitrary basis of a multipartite quantum state space consisting of $K$ distant parties such that the $k$th party has local dimension $d_k$ always contains at least $N=\sum_{k=1}^K (d_k-1)+1$ members that are unambiguously…

量子物理 · 物理学 2007-06-11 Runyao Duan , Yuan Feng , Zhengfeng Ji , Mingsheng Ying

The Bicameral Cache is a cache organization proposal for a vector architecture that segregates data according to their access type, distinguishing scalar from vector references. Its aim is to avoid both types of references from interfering…

硬件体系结构 · 计算机科学 2025-03-28 Susana Rebolledo , Borja Perez , Jose Luis Bosque , Peter Hsu

We investigate an optimization problem of finding quantum sequential measurements, which forms a wide class of state discrimination problems with the restriction that only sequential measurements are allowed. Sequential measurements from…

量子物理 · 物理学 2018-03-02 Kenji Nakahira , Kentaro Kato , Tsuyoshi Sasaki Usuda

When developing robust preconditioners for multiphysics problems, fractional functions of the Laplace operator often arise and need to be inverted. Rational approximation in the uniform norm can be used to convert inverting those fractional…

数值分析 · 数学 2024-07-23 James H. Adler , Xiaozhe Hu , Xue Wang , Zhongqin Xue

A development of an inverse first-order divided difference operator for functions of several variables is presented. Two generalized derivative-free algorithms builded up from Ostrowski's method for solving systems of nonlinear equations…

数值分析 · 数学 2011-10-12 Miquel Grau-Sánchez , Miquel Noguera , Sergio Amat

Asynchronous executions of a distributed algorithm differ from each other due to the nondeterminism in the order in which the messages exchanged are handled. In many situations of interest, the asynchronous executions induced by restricting…

分布式、并行与集群计算 · 计算机科学 2016-11-11 Ricardo C. Correa , Valmir C. Barbosa

A multipartite system comprised of $n$ subsystems, each of which is described with `local variables' in ${\mathbb Z}(d)$ and with a $d$-dimensional Hilbert space $H(d)$, is considered. Local Fourier transforms in each subsystem are defined…

量子物理 · 物理学 2023-01-31 C. Lei , A. Vourdas

Understanding the role that quantum entanglement plays as a resource in various information processing tasks is one of the crucial goals of quantum information theory. Here we propose a new perspective for studying quantum entanglement:…

量子物理 · 物理学 2015-09-23 L. Czekaj , M. Pawlowski , T. Vertesi , A. Grudka , M. Horodecki , R. Horodecki
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