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We present PPI++: a computationally lightweight methodology for estimation and inference based on a small labeled dataset and a typically much larger dataset of machine-learning predictions. The methods automatically adapt to the quality of…

Machine Learning · Statistics 2024-03-27 Anastasios N. Angelopoulos , John C. Duchi , Tijana Zrnic

Vector operations play an important role in high performance computing and are typically provided by highly optimized libraries that implement the BLAS (Basic Linear Algebra Subprograms) interface. In C++ templates and operator overloading…

Mathematical Software · Computer Science 2011-09-07 J. Progsch , Y. Ineichen , A. Adelmann

In real world, large language models (LLMs) can serve as the assistant to help users accomplish their jobs, and also support the development of advanced applications. For the wide application of LLMs, the inference efficiency is an…

Computation and Language · Computer Science 2024-04-18 Yushuo Chen , Tianyi Tang , Erge Xiang , Linjiang Li , Wayne Xin Zhao , Jing Wang , Yunpeng Chai , Ji-Rong Wen

We will discuss our experiences and design decisions obtained from building a formal library for the convolution of two functions. Convolution is a fundamental concept with applications throughout mathematics. We will focus on the design…

Logic in Computer Science · Computer Science 2022-10-17 Floris van Doorn

Harmonic polylogarithms $\H(\vec{a};x)$, a generalization of Nielsen's polylogarithms ${S}_{n,p}(x)$, appear frequently in analytic calculations of radiative corrections in quantum field theory. We present an algorithm for the numerical…

High Energy Physics - Phenomenology · Physics 2010-04-06 T. Gehrmann , E. Remiddi

Signals can be interpreted as composed of a rapidly varying component modulated by a slower varying envelope. Identifying this envelope is an essential operation in signal processing, with applications in areas ranging from seismology to…

Sound · Computer Science 2021-10-25 Carlos Tarjano , Valdecy Pereira

Interval computation is widely used to certify computations that use floating point operations to avoid pitfalls related to rounding error introduced by inaccurate operations. Despite its popularity and practical benefits, support for…

Mathematical Software · Computer Science 2023-05-29 Xuan Tang , Zachary Ferguson , Teseo Schneider , Denis Zorin , Shoaib Kamil , Daniele Panozzo

Processing large Pauli sums is a significant bottleneck in quantum chemistry, Pauli propagation, and Pauli-based compilation. Existing frameworks often suffer from Python interpreter overhead or utilize hash-map data structures that hinder…

Quantum Physics · Physics 2026-05-26 Florian Krötz

SOL is an open-source library for scalable online learning algorithms, and is particularly suitable for learning with high-dimensional data. The library provides a family of regular and sparse online learning algorithms for large-scale…

Machine Learning · Computer Science 2016-10-31 Yue Wu , Steven C. H. Hoi , Chenghao Liu , Jing Lu , Doyen Sahoo , Nenghai Yu

Large Language Models (LLMs) are increasingly being leveraged for generating and translating scientific computer codes by both domain-experts and non-domain experts. Fortran has served as one of the go to programming languages in legacy…

We propose the QHyper library, which is aimed at researchers working on computational experiments with a variety of quantum combinatorial optimization solvers. The library offers a simple and extensible interface for formulating…

Mathematical Software · Computer Science 2024-09-25 Tomasz Lamża , Justyna Zawalska , Kacper Jurek , Mariusz Sterzel , Katarzyna Rycerz

We present FUEL (Fractional Universal Evaluation Library), a C++ library for performing rational function arithmetic with a flexible choice of third-party computer algebra systems as simplifiers. FUEL is an outgrowth of a C++ interface to…

High Energy Physics - Phenomenology · Physics 2023-10-24 Kirill Mokrov , Alexander Smirnov , Mao Zeng

The evaluation of one-loop matrix elements is one of the main bottlenecks in precision calculations for the high-luminosity phase of the Large Hadron Collider. To alleviate this problem, a new C++ interface to the MCFM parton-level Monte…

High Energy Physics - Phenomenology · Physics 2022-01-05 John M Campbell , Stefan Höche , Christian T Preuss

We present an exact diagonalization C++ template library (EDLib) for solving quantum electron models, including single-band finite Hubbard cluster and multi-orbital impurity Anderson model. The observables that can be computed using EDLib…

Strongly Correlated Electrons · Physics 2018-01-11 Sergei Iskakov , Michael Danilov

We introduce ninfty, a header-only C++ library distributed under an MIT Open Source License designed for the study of enumeration problems arising in homotopical combinatorics. The ninfty repository moreover contains a folder with data…

Combinatorics · Mathematics 2025-04-02 Scott Balchin

As applications grow in capability, they also grow in complexity. This complexity in turn gets pushed into modules and libraries. In addition, hardware configurations become increasingly elaborate, too. These two trends make understanding,…

Software Engineering · Computer Science 2018-03-21 Ronny Brendel , Bert Wesarg , Ronny Tschüter , Matthias Weber , Thomas Ilsche , Sebastian Oeste

We present libsharp, a code library for spherical harmonic transforms (SHTs), which evolved from the libpsht library, addressing several of its shortcomings, such as adding MPI support for distributed memory systems and SHTs of fields with…

Computational Physics · Physics 2015-06-15 Martin Reinecke , Dag Sverre Seljebotn

Recent advancements in Natural Language Processing (NLP) have fostered the development of Large Language Models (LLMs) that can solve an immense variety of tasks. One of the key aspects of their application is their ability to work with…

Computation and Language · Computer Science 2024-08-06 Igor Churin , Murat Apishev , Maria Tikhonova , Denis Shevelev , Aydar Bulatov , Yuri Kuratov , Sergej Averkiev , Alena Fenogenova

This paper describes a C++ library that compiles neural network models at runtime into machine code that performs inference. This approach in general promises to achieve the best performance possible since it is able to integrate statically…

Machine Learning · Computer Science 2019-12-23 Felix Thielke , Arne Hasselbring

We introduce the C++ library Wedge, based on GiNaC, for symbolic computations in differential geometry. We show how Wedge makes it possible to use the language C++ to perform such computations, and illustrate some advantages of this…

Differential Geometry · Mathematics 2008-04-22 Diego Conti