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Computationally efficient classification system architecture is proposed. It utilizes fast tensor-vector multiplication algorithm to apply linear operators upon input signals . The approach is applicable to wide variety of recognition…

Computer Vision and Pattern Recognition · Computer Science 2016-03-08 Pavel Dourbal , Mikhail Pekker

Multi-particle cumulants of azimuthal angle correlations have been compelling tools to probe the properties of the Quark-Gluon Plasma (QGP) created in the ultra-relativistic heavy-ion collisions and the search for the QGP in small collision…

Nuclear Theory · Physics 2021-03-03 Zuzana Moravcova , Kristjan Gulbrandsen , You Zhou

In this paper, we develop algorithms for computing the recurrence coefficients corresponding to multiple orthogonal polynomials on the step-line. We reformulate the problem as an inverse eigenvalue problem, which can be solved using…

Numerical Analysis · Mathematics 2026-03-05 Amin Faghih , Michele Rinelli , Marc Van Barel , Raf Vandebril , Robbe Vermeiren

We analyze a method to produce pairs of non independent Poisson processes $M(t),N(t)$ from positively correlated, self-decomposable, exponential renewals. In particular the present paper provides the family of copulas pairing the renewals,…

Probability · Mathematics 2017-01-16 Nicola Cufaro Petroni , Piergiacomo Sabino

In earlier work, we developed a modular approach for automatic complexity analysis of integer programs. However, these integer programs do not allow non-tail recursive calls or subprocedures. In this paper, we consider integer programs with…

Logic in Computer Science · Computer Science 2026-01-07 Nils Lommen , Jürgen Giesl

We derive a novel formula for the derivative of operator product expansion (OPE) coefficients with respect to a coupling constant. The formula only involves the OPE coefficients themselves, and no further input, and is in this sense…

Mathematical Physics · Physics 2015-06-18 J. Holland , S. Hollands

Representations of multivariate functions with low-dimensional functions that depend on subsets of original coordinates (corresponding of different orders of coupling) are useful in quantum dynamics and other applications, especially where…

Machine Learning · Computer Science 2024-06-26 Sergei Manzhos , Manabu Ihara

Compositional data consist of known compositions vectors whose components are positive and defined in the interval (0,1) representing proportions or fractions of a "whole". The sum of these components must be equal to one. Compositional…

Applications · Statistics 2015-07-02 Taciana K. O. Shimizu , Francisco Louzada , Adriano K. Suzuki , Ricardo S. Ehlers

Multiconfiguration expansions frequently target valence correlation and correlation between valence electrons and the outermost core electrons. Correlation within the core is often neglected. A large orbital basis is needed to saturate both…

Atomic Physics · Physics 2010-04-20 S. Verdebout , P. Jönsson , G. Gaigalas , M. Godefroid , C. Froese Fischer

We compute to all loop orders correlation function of four heavy BPS operators in $\mathcal{N}$= 4 SYM with special polarisations considered recently by Frank Coronado. Our main result is an expression for the octagon form factor as…

High Energy Physics - Theory · Physics 2019-06-19 Ivan Kostov , Valentina B. Petkova , Didina Serban

It is well known that under a BCFW-deformation, there is a boundary contribution when the amplitude scales as O(1) or worse. We show that boundary contributions have a similar recursion relation as scattering amplitude. Just like the BCFW…

High Energy Physics - Theory · Physics 2015-05-04 Qingjun Jin , Bo Feng

Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge…

High Energy Physics - Theory · Physics 2009-09-28 Robert de Mello Koch , Tanay K. Dey , Norman Ives , Michael Stephanou

This paper is concerned with the optimal number of redundant allocation to $n$-component coherent systems consist of heterogeneous dependent components. We assume that the system is built of $L$ groups of different components, $L\geq 1$,…

Optimization and Control · Mathematics 2022-02-22 Maryam Kelkinnama , Majid Asadi

Associated to a finite measure on the real line with finite moments are recurrence coefficients in a three-term formula for orthogonal polynomials with respect to this measure. These recurrence coefficients are frequently inputs to modern…

Numerical Analysis · Mathematics 2021-02-01 Zexin Liu , Akil Narayan

Benson's outer approximation algorithm and its variants are the most frequently used methods for solving linear multiobjective optimization problems. These algorithms have two intertwined components: one-dimensional linear optimization one…

Optimization and Control · Mathematics 2019-03-21 Laszlo Csirmaz

The geometry of Arithmetic Random Waves has been extensively investigated in the last fifteen years, starting from the seminal papers [RW08, ORW08]. In this paper we study the correlation structure among different functionals such as nodal…

Probability · Mathematics 2023-12-21 Valentina Cammarota , Riccardo-W. Maffucci , Domenico Marinucci , Maurizia Rossi

Compositional barrier functions are proposed in this paper to systematically compose multiple objectives for teams of mobile robots. The objectives are first encoded as barrier functions, and then composed using AND and OR logical…

Robotics · Computer Science 2016-08-25 Li Wang , Aaron D. Ames , Magnus Egerstedt

Temporal meson correlators and their spectral functions are calculated in the deconfined phase using the hard thermal loop resummation technique. The spectral functions exhibit strong medium effects coming from the hard thermal loop…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. Karsch , M. G. Mustafa , M. H. Thoma

The maximum entropy method (MEM) and the Gaussian process (GP) regression, which are both well-suited for the treatment of inverse problems, are used to reconstruct net-baryon number distributions based on a finite number of cumulants of…

High Energy Physics - Phenomenology · Physics 2023-03-21 Chuang Huang , Yang-yang Tan , Rui Wen , Shi Yin , Wei-jie Fu

The paper proposes an implicit (i.e., machine-independent) complexity approach to studying computation by polynomial-size, constant-depth circuits with gates counting modulo a constant through the lens of discrete ordinary differential…

Computational Complexity · Computer Science 2026-05-25 Melissa Antonelli , Arnaud Durand , Rui Li