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The importance-sampling Monte Carlo algorithm appears to be the universally optimal solution to the problem of sampling the state space of statistical mechanical systems according to the relative importance of configurations for the…

Statistical Mechanics · Physics 2010-06-22 Martin Weigel

We study the implementation of Monte Carlo renormalization group (MCRG) in momentum space. This technique is most efficient when used in combination with a Fourier accelerated Langevin algorithm. As a benchmark we calculate the critical…

High Energy Physics - Lattice · Physics 2009-10-28 D. ESPRIU , A. TRAVESSET

This contribution provides a pedagogical introduction to and review of the current status and ongoing progress in the development of Monte Carlo tools for the calculation and simulation of high-Q^2 processes in hadronic collisions.

High Energy Physics - Phenomenology · Physics 2010-10-27 M. L. Mangano

Quantum computing has become increasingly practical in solving real-world problems due to advances in hardware and algorithms. In this paper, we aim to design and estimate quantum machine learning and hybrid quantum-classical models in a…

Quantum Physics · Physics 2025-07-14 Leyang Wang , Yilun Gong , Zongrui Pei

Quantum Monte Carlo is one of the most promising approaches for dealing with large-scale quantum many-body systems. It has played an extremely important role in understanding strongly correlated physics. However, two fundamental problems,…

Strongly Correlated Electrons · Physics 2026-03-03 Zhiyan Wang , Zenan Liu , Bin-Bin Mao , Zhe Wang , Zheng Yan

This work investigates in detail the performance and advantages of a new quantum Monte Carlo integrator, dubbed Quantum Fourier Iterative Amplitude Estimation (QFIAE), to numerically evaluate for the first time loop Feynman integrals in a…

High Energy Physics - Phenomenology · Physics 2024-11-20 Jorge J. Martínez de Lejarza , Leandro Cieri , Michele Grossi , Sofia Vallecorsa , Germán Rodrigo

FinInG is a package for computation in Finite Incidence Geometry. It provides users with the basic tools to work in various areas of finite geometry from the realms of projective spaces to the flat lands of generalised polygons. The…

Combinatorics · Mathematics 2016-06-20 John Bamberg , Anton Betten , Philippe Cara , Jan De Beule , Max Neunhöffer , Michel Lavrauw

Quantization is a powerful tool to improve large language model (LLM) inference efficiency by utilizing more energy-efficient low-precision datapaths and reducing memory footprint. However, accurately quantizing LLM weights and activations…

Hardware Architecture · Computer Science 2025-04-22 Coleman Hooper , Charbel Sakr , Ben Keller , Rangharajan Venkatesan , Kurt Keutzer , Sophia Shao , Brucek Khailany

Large language models (LLMs) have become a disruptive force in the industry, introducing unprecedented capabilities in natural language processing, logical reasoning and so on. However, the challenges of knowledge updates and hallucination…

Machine Learning · Computer Science 2025-04-22 Chunjing Gan , Dan Yang , Binbin Hu , Ziqi Liu , Yue Shen , Zhiqiang Zhang , Jian Wang , Jun Zhou

Infrastructures are group-like objects that make their appearance in arithmetic geometry in the study of computational problems related to number fields and function fields over finite fields. The most prominent computational tasks of…

Quantum Physics · Physics 2012-05-31 Pradeep Sarvepalli , Pawel Wocjan

The analytic integration and simplification of multi-loop Feynman integrals to special functions and constants plays an important role to perform higher order perturbative calculations in the Standard Model of elementary particles. In this…

High Energy Physics - Theory · Physics 2023-01-11 Johannes Blümlein , Carsten Schneider

The influence of microscopic force fields on the motion of Brownian particles plays a fundamental role in a broad range of fields, including soft matter, biophysics, and active matter. Often, the experimental calibration of these force…

Computational Physics · Physics 2020-06-17 Aykut Argun , Tobias Thalheim , Stefano Bo , Frank Cichos , Giovanni Volpe

A survey is given on mathematical structures which emerge in multi-loop Feynman diagrams. These are multiply nested sums, and, associated to them by an inverse Mellin transform, specific iterated integrals. Both classes lead to sets of…

Mathematical Physics · Physics 2015-06-17 J Ablinger , J Blümlein , C Schneider

Multiple polylogarithms are periods of variations of mixed Tate motives. Conjecturally, they deliver all such periods. We introduce deformations of multiple polylogarithms depending on a complex parameter h. We call them quantum…

Algebraic Geometry · Mathematics 2026-01-07 Alexander B. Goncharov

We present QueryGym, a lightweight, extensible Python toolkit that supports large language model (LLM)-based query reformulation. This is an important tool development since recent work on llm-based query reformulation has shown notable…

Information Retrieval · Computer Science 2025-11-21 Amin Bigdeli , Radin Hamidi Rad , Mert Incesu , Negar Arabzadeh , Charles L. A. Clarke , Ebrahim Bagheri

In this study, we give an extension of Montanaro's arXiv/archive:1504.06987 quantum Monte Carlo method, tailored for computing expected values of random variables that exhibit infinite variance. This addresses a challenge in analyzing…

Quantum Physics · Physics 2024-03-08 Jose Blanchet , Mario Szegedy , Guanyang Wang

Quantization of weights and activations in Deep Neural Networks (DNNs) is a powerful technique for network compression, and has enjoyed significant attention and success. However, much of the inference-time benefit of quantization is…

Performance · Computer Science 2019-12-13 Andrew Anderson , David Gregg

Real-valued transforms such as the discrete cosine, sine, and Hartley transforms play a central role in classical computing, complementing the Fourier transform in applications from signal and image processing to data compression. However,…

Quantum Physics · Physics 2025-10-21 Armin Ahmadkhaniha , Lu Chen , Jake Doliskani , Zhifu Sun

HELAC is a FORTRAN based package that is able to compute efficiently helicity amplitudes for arbitrary scattering processes within the standard electroweak theory. The algorithm exploits the virtues of the Dyson-Schwinger equations as…

High Energy Physics - Phenomenology · Physics 2009-10-31 Aggeliki Kanaki , Costas G. Papadopoulos

We report on the new functionality of the open-source Mathematica package FeynCalc relevant for multiloop calculations. In particular, we focus on such tasks as topology identification by means of the Pak algorithm, search for equivalent…

High Energy Physics - Phenomenology · Physics 2021-12-30 Vladyslav Shtabovenko