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Large language models (LLMs) have been explored in a variety of reasoning tasks including solving of mathematical problems. Each math dataset typically includes its own specially designed evaluation script, which, while suitable for its…

Computation and Language · Computer Science 2024-04-23 Boning Zhang , Chengxi Li , Kai Fan

The R package calculus implements C++ optimized functions for numerical and symbolic calculus, such as the Einstein summing convention, fast computation of the Levi-Civita symbol and generalized Kronecker delta, Taylor series expansion,…

Mathematical Software · Computer Science 2022-10-05 Emanuele Guidotti

This article is about twofold arithmetic. Here I introduce algorithms and experimental code for twofold variant of C/C++ standard functions exp() and log(), and expm1() and log1p(). Twofold function $y_0+y_1 \approx f(x_0+x_1)$ is nearly…

Mathematical Software · Computer Science 2015-02-19 Evgeny Latkin

This paper describes a modular framework for the description of electroweak scattering and decay processes, including but not limited to Z-resonance physics. The framework consistently combines a complex-pole expansion near a s-channel…

High Energy Physics - Phenomenology · Physics 2023-10-12 Lisong Chen , Ayres Freitas

Cyanure is an open-source C++ software package with a Python interface. The goal of Cyanure is to provide state-of-the-art solvers for learning linear models, based on stochastic variance-reduced stochastic optimization with acceleration…

Machine Learning · Statistics 2019-12-23 Julien Mairal

Although many active scientific codes use modern Fortran, most contemporary scientific software "libraries" are implemented in C and C++. Providing their numerical, algorithmic, or data management features to Fortran codes requires writing…

Software Engineering · Computer Science 2019-07-04 Seth R. Johnson , Andrey Prokopenko , Katherine J. Evans

The Clair library is intended to simplify a number of generic tasks in Natural Language Processing (NLP), Information Retrieval (IR), and Network Analysis. Its architecture also allows for external software to be plugged in with very little…

Information Retrieval · Computer Science 2007-12-21 Dragomir Radev , Mark Hodges , Anthony Fader , Mark Joseph , Joshua Gerrish , Mark Schaller , Jonathan dePeri , Bryan Gibson

Numerical tensor calculus comprise basic tensor operations such as the entrywise addition and contraction of higher-order tensors. We present, TLib, flexible tensor framework with generic tensor functions and tensor classes that assists…

Mathematical Software · Computer Science 2017-11-30 Cem Bassoy

We design a library for binary field arithmetic and we supply a core API which is completely developed in DLAL, extended with a fix point formula. Since DLAL is a restriction of linear logic where only functional programs with polynomial…

Logic in Computer Science · Computer Science 2011-06-29 Emanuele Cesena , Marco Pedicini , Luca Roversi

We present the open-source $\texttt{C++}$ library $\texttt{FireFly}$ for the reconstruction of multivariate rational functions over finite fields. We discuss the involved algorithms and their implementation. As an application, we use…

Symbolic Computation · Computer Science 2019-11-28 Jonas Klappert , Fabian Lange

With the growth of machine learning algorithms with geometry primitives, a high-efficiency library with differentiable geometric operators are desired. We present an optimized Differentiable Geometry Algorithm Library (DGAL) loaded with…

Computational Geometry · Computer Science 2020-11-24 Yuanxin Zhong

We describe an algorithm to evaluate all the complex branches of the Lambert W function with rigorous error bounds in interval arithmetic, which has been implemented in the Arb library. The classic 1996 paper on the Lambert W function by…

Mathematical Software · Computer Science 2017-05-10 Fredrik Johansson

Multiplicity codes are algebraic error-correcting codes generalizing classical polynomial evaluation codes, and are based on evaluating polynomials and their derivatives. This small augmentation confers upon them better local decoding,…

Information Theory · Computer Science 2015-05-29 Swastik Kopparty

The traditional split-up into a low level language and a high level language in the design of computer algebra systems may become obsolete with the advent of more versatile computer languages. We describe GiNaC, a special-purpose system…

Symbolic Computation · Computer Science 2007-05-23 Christian Bauer , Alexander Frink , Richard Kreckel

MatchingTools is a Python library for doing symbolic calculations in effective field theory. It provides the tools to construct general models by defining their field content and their interaction Lagrangian. Once a model is given, the…

High Energy Physics - Phenomenology · Physics 2018-08-09 Juan C. Criado

Tick is a statistical learning library for Python~3, with a particular emphasis on time-dependent models, such as point processes, and tools for generalized linear models and survival analysis. The core of the library is an optimization…

Machine Learning · Statistics 2018-03-16 Emmanuel Bacry , Martin Bompaire , Stéphane Gaïffas , Soren Poulsen

MDL, Multimodal Deep Learning Library, is a deep learning framework that supports multiple models, and this document explains its philosophy and functionality. MDL runs on Linux, Mac, and Unix platforms. It depends on OpenCV.

Machine Learning · Computer Science 2016-04-13 Jian Jin

We introduce Merlion, an open-source machine learning library for time series. It features a unified interface for many commonly used models and datasets for anomaly detection and forecasting on both univariate and multivariate time series,…

This paper presents the SPARE C++ library, an open source software tool conceived to build pattern recognition and soft computing systems. The library follows the requirement of the generality: most of the implemented algorithms are able to…

Computer Vision and Pattern Recognition · Computer Science 2015-02-23 Lorenzo Livi , Guido Del Vescovo , Antonello Rizzi , Fabio Massimo Frattale Mascioli

The evaluation of large language models (LLMs) is crucial to assess their performance and mitigate potential security risks. In this paper, we introduce PromptBench, a unified library to evaluate LLMs. It consists of several key components…

Artificial Intelligence · Computer Science 2024-08-21 Kaijie Zhu , Qinlin Zhao , Hao Chen , Jindong Wang , Xing Xie
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