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Industrial prognostics aims to develop data-driven methods that leverage high-dimensional degradation signals from assets to predict their failure times. The success of these models largely depends on the availability of substantial…

Machine Learning · Statistics 2024-10-16 Yuqi Su , Xiaolei Fang

We propose an importance sampling scheme to estimate the partition function of the two-dimensional ferromagnetic Ising model and the two-dimensional ferromagnetic $q$-state Potts model, both in the presence of an external magnetic field.…

Computation · Statistics 2015-02-06 Mehdi Molkaraie

This paper addresses the nonparametric estimation of the drift function over a compact domain for a time-homogeneous diffusion process, based on high-frequency discrete observations from $N$ independent trajectories. We propose a neural…

Machine Learning · Statistics 2026-04-01 Yuzhen Zhao , Yating Liu , Marc Hoffmann

We show how quark-disconnected and quark-connected contributions to hadronic n-point functions can be written as independent correlators for which one can derive expressions in partially quenched chiral effective theory. As an example we…

High Energy Physics - Lattice · Physics 2010-12-06 Michele Della Morte , Andreas Juttner

Unequal-time correlation functions fundamentally characterize emergent statistical properties in complex systems, yet their direct measurement in experiments is challenging. We report the experimental observation of two-time, ballistic…

Exactly Solvable and Integrable Systems · Physics 2026-01-30 Elias Charnay , Adrien Escoubet , Francois Copie , Stephane Randoux , Thibault Bonnemain , Alvise Bastianello , Pierre Suret

We provide a concise exposition with original proofs of combinatorial formulas for the 2D Ising model partition function, multi-point fermionic observables, spin and energy density correlations, for general graphs and interaction constants,…

Combinatorics · Mathematics 2019-03-15 Dmitry Chelkak , David Cimasoni , Adrien Kassel

We introduce the Hamming Ball Sampler, a novel Markov Chain Monte Carlo algorithm, for efficient inference in statistical models involving high-dimensional discrete state spaces. The sampling scheme uses an auxiliary variable construction…

Methodology · Statistics 2015-05-05 Michalis K. Titsias , Christopher Yau

The computation of multifractal scaling properties associated with a critical field theory involves non-local operators and remains an open problem using conventional techniques of field theory. We propose a new description of Gaussian…

Condensed Matter · Physics 2009-10-28 Claudio de C. Chamon , Christopher Mudry , Xiao-Gang Wen

We perform a high statistics calculation of disconnected fermion loops on Graphics Processing Units for a range of nucleon matrix elements extracted using lattice QCD. The isoscalar electromagnetic and axial vector form factors, the…

High Energy Physics - Lattice · Physics 2014-02-12 A. Abdel-Rehim , C. Alexandrou , M. Constantinou , V. Drach , K. Hadjiyiannakou , K. Jansen , G. Koutsou , A. Vaquero

We compute the condensate in QCD with two flavors of dynamical fermions using numerical simulation. The simulations use overlap fermions, and the condensate is extracted by fitting the distribution of low lying eigenvalues of the Dirac…

High Energy Physics - Lattice · Physics 2014-11-17 Thomas DeGrand , Zhaofeng Liu , Stefan Schaefer

Fractional dissipation is a powerful tool to study non-local physical phenomena such as damping models. The design of geometric, in particular, variational integrators for the numerical simulation of such systems relies on a variational…

Numerical Analysis · Mathematics 2024-03-28 Khaled Hariz , Fernando Jiménez , Sina Ober-Blöbaum

We present a new technique for efficiently simulating (in polynomial time) a class of one-dimensional (1D) dissipative spin chains that, when mapped to fermions, have quadratic Hamiltonians, with the only nonlinearity coming from…

Quantum Physics · Physics 2025-09-24 Andrew Pocklington , Aashish A. Clerk

Applying domain decomposition to the lattice Dirac operator and the associated quark propagator, we arrive at expressions which, with the proper insertion of random sources therein, can provide improvement to the estimation of the…

High Energy Physics - Lattice · Physics 2008-11-26 Tommy Burch , Christian Hagen

Fermions in two-dimensional space, commonly called $(1+2)$-dimensional fermions, exhibit intriguing and distinctive characteristics that distinguish them from their higher-dimensional counterparts. This paper offers a comprehensive…

High Energy Physics - Theory · Physics 2025-10-28 J. A. A. S. Reis , L. Lisboa-Santos , Fabiano M. Andrade , Frankbelson dos S. Azevedo , Edilberto O. Silva

This paper is concerned with differentiable resampling in the context of sequential Monte Carlo (e.g., particle filtering). Drawing on reparametrisation, we propose a new resampling method that is informative and instantly differentiable,…

Machine Learning · Statistics 2026-05-29 Jennifer Rosina Andersson , Zheng Zhao

We evaluate the fermionic determinant for massless QED_2 at finite temperature, in the imaginary time formalism. By using a decoupling transformation of the fermionic fields, we show that the determinant factorizes into the usual,…

High Energy Physics - Theory · Physics 2007-05-23 C. D. Fosco , R. E. Gamboa Saravi , F. A. Schaposnik

Estimation and inference with modern longitudinal data from wearable devices, which consist of biological signals at high-frequency time points, is burdened by massive computational costs. We propose a distributed estimation and inference…

Methodology · Statistics 2023-09-13 Cole Manschot , Emily C. Hector

We analyze various two-point correlation functions of fermionic bilinears in a rotating finite-size cylinder at finite temperatures, with a focus on susceptibility functions. Due to the noninvariance of radial translation, the…

High Energy Physics - Phenomenology · Physics 2025-12-01 Mamiya Kawaguchi , Kazuya Mameda

Correlations of detection events in two detectors are studied in case of linear excitation of the measuring apparatus. On the basis of classical probability theory and fundamental conservation laws, a general formula is derived for the…

Quantum Physics · Physics 2011-03-01 Sandor Varro

Using the intertwining relation we construct a pseudosuperpartner for a (non-Hermitian) Dirac-like Hamiltonian describing a two-level system interacting in the rotating wave approximation with the electric component of an electromagnetic…

Quantum Physics · Physics 2009-11-11 Boris F Samsonov , V V Shamshutdinova
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