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The FEAST algorithm is a subspace iteration method that uses a spectral projector as a rational filter in order to efficiently solve interior eigenvalue problems in parallel. Although the solutions from the FEAST algorithm converge rapidly…

数值分析 · 数学 2016-05-30 Brendan Gavin , Eric Polizzi

The quantum many-body problem is an important topic in condensed matter physics. To efficiently solve the problem, several methods have been developped to improve the representation ability of wave-functions. For the Fermi-Hubbard model…

强关联电子 · 物理学 2024-06-05 Yu-Tong Zhou , Zheng-Wei Zhou , Xiao Liang

Basic-block throughput models such as uiCA, IACA, GRANITE, Ithemal, llvm-mca, OSACA, or CQA guide optimizing compilers and help performance engineers identify and eliminate bottlenecks. For this purpose, basic-block throughput models should…

性能 · 计算机科学 2023-10-23 Andreas Abel , Shrey Sharma , Jan Reineke

We present an iterative method to solve the multipartite quantum state estimation problem. We demonstrate convergence for any informationally complete set of generalized quantum measurements in every finite dimension. Our method exhibits…

量子物理 · 物理学 2022-03-21 Daniel Uzcategui Contreras , Gabriel Senno , Dardo Goyeneche

Experimental mathematics is an experimental approach to mathematics in which programming and symbolic computation are used to investigate mathematical objects, identify properties and patterns, discover facts and formulas and even…

组合数学 · 数学 2020-05-19 Yukun Yao

$\renewcommand{\Re}{\mathbb{R}}$ We develop a general randomized technique for solving "implic it" linear programming problems, where the collection of constraints are defined implicitly by an underlying ground set of elements. In many…

计算几何 · 计算机科学 2021-12-24 Timothy M. Chan , Sariel Har-Peled , Mitchell Jones

We present Fortuna, an open-source library for uncertainty quantification in deep learning. Fortuna supports a range of calibration techniques, such as conformal prediction that can be applied to any trained neural network to generate…

In this paper, a novel parallel hybrid iterative method is proposed for finding a common element of the set of solutions of a system of equilibrium problems, the set of solutions of variational inequalities for inverse strongly monotone…

最优化与控制 · 数学 2015-10-28 Dang Van Hieu

Decision-making problems can be modeled as combinatorial optimization problems with Constraint Programming formalisms such as Constrained Optimization Problems. However, few Constraint Programming formalisms can deal with both optimization…

人工智能 · 计算机科学 2022-05-24 Valentin Antuori , Florian Richoux

We present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors which come from a Galerkin weak form, discretized with…

数学软件 · 计算机科学 2015-07-29 Lisandro Dalcin , Nathan Collier , Philippe Vignal , Adriano M. A. Cortes , V. M. Calo

The finite element method is used to approximately solve boundary value problems for differential equations. The method discretises the parameter space and finds an approximate solution by solving a large system of linear equations. Here we…

量子物理 · 物理学 2016-03-23 Ashley Montanaro , Sam Pallister

Several paradigms for declarative problem solving start from a specification in a high-level language, which is then transformed to a low-level language, such as SAT or SMT. Often, this transformation includes a "grounding" step to remove…

计算机科学中的逻辑 · 计算机科学 2024-08-16 Lucas Van Laer , Simon Vandevelde , Joost Vennekens

This paper is devoted to studying the global and finite convergence of the semi-smooth Newton method for solving a piecewise linear system that arises in cone-constrained quadratic programming problems and absolute value equations. We first…

最优化与控制 · 数学 2023-01-24 Nicolas F. Armijo , Yunier Bello-Cruz , Gabriel Haeser

We prove that all valid Herbrand equalities can be inter-procedurally inferred for programs where all assignments whose right-hand sides depend on at most one variable are taken into account. The analysis is based on procedure summaries…

计算机科学中的逻辑 · 计算机科学 2019-03-14 Stefan Schulze Frielinghaus , Michael Petter , Helmut Seidl

Argumentation frameworks, consisting of arguments and an attack relation representing conflicts, are fundamental for formally studying reasoning under conflicting information. We use methods from mathematical logic, specifically…

人工智能 · 计算机科学 2025-12-01 Uri Andrews , Luca San Mauro

We propose in this paper a Proper Generalized Decomposition (PGD) solver for reduced-order modeling of linear elastodynamic problems. It primarily focuses on enhancing the computational efficiency of a previously introduced PGD solver based…

计算工程、金融与科学 · 计算机科学 2024-05-15 Clément Vella , Pierre Gosselet , Serge Prudhomme

A system of equations resulting from an approximation of the equation of motion of Green functions for correlated electron systems is usually solved using Matsubara technique. In this work we propose an alternative method which works…

强关联电子 · 物理学 2007-05-23 M. Letz , F. Marsiglio

We describe and motivate a proposed new approach to lowerbounding the circuit complexity of boolean functions, based on a new formalization of "patterns" as elements of a special basis of the vector space of all truth table properties. We…

计算复杂性 · 计算机科学 2016-06-17 Bruce K. Smith

We study higher form Proca equations on Einstein manifolds with boundary data along conformal infinity. We solve these Laplace-type boundary problems formally, and to all orders, by constructing an operator which projects arbitrary forms to…

微分几何 · 数学 2017-07-28 A. Rod Gover , Emanuele Latini , Andrew Waldron

To promote and further develop RST-style discourse parsing models, we need a strong baseline that can be regarded as a reference for reporting reliable experimental results. This paper explores a strong baseline by integrating existing…

计算与语言 · 计算机科学 2022-11-02 Naoki Kobayashi , Tsutomu Hirao , Hidetaka Kamigaito , Manabu Okumura , Masaaki Nagata
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