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Higher-order tensor methods were recently proposed for minimizing smooth convex and nonconvex functions. Higher-order algorithms accelerate the convergence of the classical first-order methods thanks to the higher-order derivatives used in…

最优化与控制 · 数学 2024-01-11 Ion Necoara

We present a quasipolynomial-time algorithm for solving the weak membership problem for the convex set of separable, i.e. non-entangled, bipartite density matrices. The algorithm decides whether a density matrix is separable or whether it…

量子物理 · 物理学 2011-06-13 Fernando G. S. L. Brandao , Matthias Christandl , Jon Yard

Recently, several works have shown that natural modifications of the classical conditional gradient method (aka Frank-Wolfe algorithm) for constrained convex optimization, provably converge with a linear rate when: i) the feasible set is a…

最优化与控制 · 数学 2016-05-23 Dan Garber , Ofer Meshi

Surface crack segmentation poses a challenging computer vision task as background, shape, colour and size of cracks vary. In this work we propose optimized deep encoder-decoder methods consisting of a combination of techniques which yield…

计算机视觉与模式识别 · 计算机科学 2021-08-27 Jacob König , Mark Jenkins , Mike Mannion , Peter Barrie , Gordon Morison

Distillation protocols enable generation of high quality entanglement even in the presence of noise. Existing protocols ignore the presence of local information in mixed states produced from some noise sources such as photon loss, amplitude…

量子物理 · 物理学 2010-07-12 Earl T. Campbell

This paper addresses the sweep coverage problem of multi-agent systems in uncertain regions. A new formulation of distributed sweep coverage is proposed to cooperatively complete the workload in the uncertain region. Specifically, each…

最优化与控制 · 数学 2017-11-30 Chao Zhai

The quadratic unconstrained binary optimization (QUBO) problem arises in diverse optimization applications ranging from Ising spin problems to classical problems in graph theory and binary discrete optimization. The use of preprocessing to…

人工智能 · 计算机科学 2017-05-29 Fred Glover , Mark Lewis , Gary Kochenberger

Particle filtering is a popular method for inferring latent states in stochastic dynamical systems, whose theoretical properties have been well studied in machine learning and statistics communities. In many control problems, e.g.,…

机器学习 · 计算机科学 2021-07-12 Simon S. Du , Wei Hu , Zhiyuan Li , Ruoqi Shen , Zhao Song , Jiajun Wu

Model-based derivative-free optimization (DFO) methods are an important class of DFO methods that are known to struggle with solving high-dimensional optimization problems. Recent research has shown that incorporating random subspaces into…

最优化与控制 · 数学 2026-05-14 Yiwen Chen , Warren Hare , Amy Wiebe

Most measurements in particle and nuclear physics use matrix-based unfolding algorithms to correct for detector effects. In nearly all cases, the observable is defined analogously at the particle and detector level. We point out that while…

高能物理 - 实验 · 物理学 2022-07-08 Miguel Arratia , Daniel Britzger , Owen Long , Benjamin Nachman

The Closest String Problem is an NP-complete problem which appears more commonly in bioinformatics and coding theory. Less surprisingly, classical approaches have been pursued with two prominent algorithms being the genetic algorithm and…

量子物理 · 物理学 2023-10-20 Chandeepa Dissanayake

Modular quantum computing architectures require error correction schemes that remain effective in the presense of noisy inter-processor operations. We introduce a distributed quantum error correction framework based on approximate codes to…

量子物理 · 物理学 2025-11-05 Connor Clayton , Bruno Avritzer

A common setting for scientific inference is the ability to sample from a high-fidelity forward model (simulation) without having an explicit probability density of the data. We propose a simulation-based maximum likelihood deconvolution…

Due to the short decohorence time of qubits available in the NISQ-era, it is essential to pack (minimize the size and or the depth of) a logical quantum circuit as efficiently as possible given a sparsely coupled physical architecture. In…

量子物理 · 物理学 2022-03-23 Avah Banerjee , Xin Liang , Rod Tohid

This work introduces a tensor-based method to perform supervised classification on spatiotemporal data processed in an echo state network. Typically when performing supervised classification tasks on data processed in an echo state network,…

机器学习 · 计算机科学 2017-08-25 Ashley Prater

A self-organizing approach is proposed for gene finding based on the model of codon usage for coding regions and positional preference for noncoding regions. The symmetry between the direct and reverse coding regions is adopted for reducing…

生物物理 · 物理学 2007-05-23 Fang Wu , Wei-Mou Zheng

The integration of constrained optimization models as components in deep networks has led to promising advances on many specialized learning tasks. A central challenge in this setting is backpropagation through the solution of an…

机器学习 · 计算机科学 2024-01-01 James Kotary , Jacob Christopher , My H Dinh , Ferdinando Fioretto

In this paper we will see deductive systems for classical propositional and predicate logic in the calculus of structures. Like sequent systems, they have a cut rule which is admissible. In addition, they enjoy a top-down symmetry and some…

逻辑 · 数学 2009-09-29 Kai Bruennler

We present a novel arbitrary high order accurate central WENO spatial reconstruction procedure (CWENO) for the solution of nonlinear systems of hyperbolic conservation laws on fixed and moving unstructured simplex meshes in two and three…

数值分析 · 数学 2018-04-18 Michael Dumbser , Walter Boscheri , Matteo Semplice , Giovanni Russo

The advantage that many quantum algorithms have over their classical counterparts may be lost when the results are extracted as classical data (output problem). One example are eigenpair solvers, which encode the eigenpairs in a quantum…

量子物理 · 物理学 2025-11-13 Sven Danz