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Unitarity cut method has been proved to be very useful in the computation of one-loop integrals. In this paper, we generalize the method to the situation where the powers of propagators in the denominator are larger than one in general. We…

High Energy Physics - Theory · Physics 2021-08-18 Bo Feng , Hongbin Wang

An optical neural network (ONN) is a promising system due to its high-speed and low-power operation. Its linear unit performs a multiplication of an input vector and a weight matrix in optical analog circuits. Among them, a circuit with a…

Machine Learning · Computer Science 2021-09-07 Kazuo Aoyama , Hiroshi Sawada

A master-worker architecture is presented for obtaining combined experimental results through joint fits of datasets from several experiments. The design of the architecture allows such joint fits to be performed keeping the data separated,…

Data Analysis, Statistics and Probability · Physics 2018-04-10 Eli Ben-Haim , René Brun , Bertrand Echenard , Thomas E. Latham

Prior research has shown that Winograd algorithm can reduce the computational complexity of convolutional neural networks (CNN) with weights and activations represented in floating point. However it is difficult to apply the scheme to the…

Machine Learning · Computer Science 2020-07-27 Zhi-Gang Liu , Matthew Mattina

Training neural networks with large batch is of fundamental significance to deep learning. Large batch training remarkably reduces the amount of training time but has difficulties in maintaining accuracy. Recent works have put forward…

Machine Learning · Computer Science 2020-11-30 Jeffrey Fong , Siwei Chen , Kaiqi Chen

In the development of industrial digital twins, the optimization problem of technological and business processes often arises. In many cases, this problem can be reduced to a large-scale linear programming (LP) problem. The article is…

Optimization and Control · Mathematics 2021-02-16 Leonid B. Sokolinsky , Irina M. Sokolinskaya

In recent years, there has been a growing interest in low-light image enhancement (LLIE) due to its importance for critical downstream tasks. Current Retinex-based methods and learning-based approaches have shown significant LLIE…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Yasin Demir , Nur Hüseyin Kaplan , Sefa Kucuk , Nagihan Severoglu

We present an improved version of our program package oneloop which -- written as a package for MAPLE -- solves one-loop Feynman integrals. The package is calculating one-, two- and three-point functions both algebraically and numerically…

High Energy Physics - Phenomenology · Physics 2009-10-30 L. Brücher , J. Franzkowski , D. Kreimer

In this article we present REvolver, a C++ library for renormalization group evolution and automatic flavor matching of the QCD coupling and quark masses, as well as precise conversion between various quark mass renormalization schemes. The…

High Energy Physics - Phenomenology · Physics 2021-09-29 Andre H. Hoang , Christopher Lepenik , Vicent Mateu

Logarithmic Number Systems (LNS) hold considerable promise in helping reduce the number of bits needed to represent a high dynamic range of real-numbers with finite precision, and also efficiently support multiplication and division.…

Mathematical Software · Computer Science 2024-01-31 Thanh Son Nguyen , Alexey Solovyev , Ganesh Gopalakrishnan

We present a technique to infer lower bounds on the worst-case runtime complexity of integer programs, where in contrast to earlier work, our approach is not restricted to tail-recursion. Our technique constructs symbolic representations of…

Logic in Computer Science · Computer Science 2020-09-29 Florian Frohn , Matthias Naaf , Marc Brockschmidt , Jürgen Giesl

This study investigates computationally efficient inner-loop algorithms for estimating static/dynamic BLP models. It provides the following ideas for reducing the number of inner-loop iterations: (1). Add a term relating to the outside…

Econometrics · Economics 2025-04-25 Takeshi Fukasawa

We propose a novel acceleration technique for loops operating on arrays. The goal of acceleration is to characterize the transitive closure of loops in a logic which is suitable for automated reasoning. Using the new notion of inductive…

Logic in Computer Science · Computer Science 2026-05-20 Florian Frohn , Jürgen Giesl

Integration by parts reduction is a standard component of most modern multi-loop calculations in quantum field theory. We present a novel strategy constructed to overcome the limitations of currently available reduction programs based on…

High Energy Physics - Phenomenology · Physics 2015-09-22 Andreas von Manteuffel , Robert M. Schabinger

We describe a constructive procedure to separate overlapping infrared divergences in multi-loop integrals. Working with a parametric representation in D=4-2*epsilon dimensions, adequate subtractions lead to a Laurent series in epsilon,…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Binoth , G. Heinrich

Mixed-integer nonlinear optimization encompasses a broad class of problems that present both theoretical and computational challenges. We propose a new type of method to solve these problems based on a branch-and-bound algorithm with convex…

Optimization and Control · Mathematics 2024-07-19 Deborah Hendrych , Hannah Troppens , Mathieu Besançon , Sebastian Pokutta

In this work, we propose a neural network-enhanced finite element strategy to compute the minimizer of the Ginzburg-Landau energy based on an unsupervised deep Ritz-type strategy. We treat the parameter $\kappa$ as a variable input…

Numerical Analysis · Mathematics 2026-05-01 Michael Crocoll , Christian Döding , Benjamin Dörich , Roland Maier

We present Nonparametric Approximation of Inter-Trace returns (NAIT), a Reinforcement Learning algorithm for discrete action, pixel-based environments that is both highly sample and computation efficient. NAIT is a lazy-learning approach…

Machine Learning · Computer Science 2022-03-08 Alexander Long , Alan Blair , Herke van Hoof

We present a novel set of Feynman rules and generalised unitarity cut-conditions for computing one-loop amplitudes via d-dimensional integrand reduction algorithm. Our algorithm is suited for analytic as well as numerical result, because…

High Energy Physics - Phenomenology · Physics 2015-05-25 W. J. Torres Bobadilla , A. R. Fazio , P. Mastrolia , E. Mirabella

Questing for learned lossy image coding (LIC) with superior compression performance and computation throughput is challenging. The vital factor behind it is how to intelligently explore Adaptive Neighborhood Information Aggregation (ANIA)…

Image and Video Processing · Electrical Eng. & Systems 2022-10-13 Ming Lu , Fangdong Chen , Shiliang Pu , Zhan Ma