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Basic Linear Algebra Subprograms (BLAS) is a core library in scientific computing and machine learning. This paper presents FT-BLAS, a new implementation of BLAS routines that not only tolerates soft errors on the fly, but also provides…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-09 Yujia Zhai , Elisabeth Giem , Quan Fan , Kai Zhao , Jinyang Liu , Zizhong Chen

Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where traditional sparse numerical linear algebra…

Computational Engineering, Finance, and Science · Computer Science 2024-01-26 Kasia Świrydowicz , Nicholson Koukpaizan , Maksudul Alam , Shaked Regev , Michael Saunders , Slaven Peleš

A new runtime environment for the execution of recursive matrix algorithms on a supercomputer with distributed memory is proposed. It is designed both for dense and sparse matrices. The environment ensures decentralized control of the…

Symbolic Computation · Computer Science 2023-03-21 Gennadi Malaschonok , Alla Sidko

This work aims to assess the state of the art of data parallel deep neural network training, trying to identify potential research tracks to be exploited for performance improvement. Beside, it presents a design for a practical C++ library…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-26 Paolo Viviani , Maurizio Drocco , Marco Aldinucci

Continual learning aims to train a model incrementally on a sequence of tasks without forgetting previous knowledge. Although continual learning has been widely studied in computer vision, its application to Vision+Language tasks is not…

Machine Learning · Computer Science 2024-01-23 Mavina Nikandrou , Lu Yu , Alessandro Suglia , Ioannis Konstas , Verena Rieser

Analyzing non-compilable C/C++ submodules without a resolved build environment remains a critical bottleneck for industrial software evolution. Traditional static analysis tools often fail in these scenarios due to their reliance on…

Software Engineering · Computer Science 2026-02-20 Jaid Monwar Chowdhury , Ahmad Farhan Shahriar Chowdhury , Humayra Binte Monwar , Mahmuda Naznin

Patterns are fundamental to human cognition, enabling the recognition of structure and regularity across diverse domains. In this work, we focus on structural repeats, patterns that arise from the repetition of hierarchical relations within…

Computation and Language · Computer Science 2025-04-15 Zeng Ren , Xinyi Guan , Martin Rohrmeier

Neural networks have in recent years shown promise for helping software engineers write programs and even formally verify them. While semantic information plays a crucial part in these processes, it remains unclear to what degree popular…

Machine Learning · Computer Science 2023-06-27 Shizhuo Dylan Zhang , Curt Tigges , Stella Biderman , Maxim Raginsky , Talia Ringer

Machine learning algorithms for generating molecular structures offer a promising new approach to drug discovery. We cast molecular optimization as a translation problem, where the goal is to map an input compound to a target compound with…

Machine Learning · Computer Science 2019-12-24 Farhan Damani , Vishnu Sresht , Stephen Ra

This work wishes to support various mathematical issues concerning the iterative methods with the help of new programming languages. We consider a way to show how problems in math have an answer by using different academic resources and…

Mathematical Software · Computer Science 2009-05-29 Claudiu Chirilov

In this paper, we find the recursion formulas for generalized Lauricella matrix function. We also give the recursion formulas for the three variable Lauricella matrix functions.

Classical Analysis and ODEs · Mathematics 2021-05-18 Ashish Verma , Ravi Dwivedi , Vivek Sahai

The direct application of the definition of sorting in lattices is impractical because it leads to an algorithm with exponential complexity. In this paper we present for distributive lattices a recursive formulation to compute the sort of a…

Discrete Mathematics · Computer Science 2013-06-04 Jens Gerlach

Here I propose C and C++ interfaces and experimental implementation for twofolds arithmetic. I introduce twofolds in my previous article entitled "Twofold fast arithmetic" for tracking floating-point inaccuracy. Testing shows, plain C…

Mathematical Software · Computer Science 2014-12-18 Evgeny Latkin

We describe a type system with mixed linear and non-linear recursive types called LNL-FPC (the linear/non-linear fixpoint calculus). The type system supports linear typing, which enhances the safety properties of programs, but also supports…

Programming Languages · Computer Science 2023-06-22 Bert Lindenhovius , Michael Mislove , Vladimir Zamdzhiev

We present a new method for the constraint-based synthesis of termination arguments for linear loop programs based on linear ranking templates. Linear ranking templates are parametrized, well-founded relations such that an assignment to the…

Logic in Computer Science · Computer Science 2014-01-22 Jan Leike , Matthias Heizmann

We present a new method for the constraint-based synthesis of termination arguments for linear loop programs based on linear ranking templates. Linear ranking templates are parameterized, well-founded relations such that an assignment to…

Logic in Computer Science · Computer Science 2019-03-14 Jan Leike , Matthias Heizmann

Generic programming is an effective methodology for developing reusable software libraries. Many programming languages provide generics and have features for describing interfaces, but none completely support the idioms used in generic…

Programming Languages · Computer Science 2007-08-17 Jeremy G. Siek , Andrew Lumsdaine

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

Performance-critical industrial applications, including large-scale program, network, and distributed system analyses, rely on fixed-point computations. The introduction of recursive common table expressions (CTEs) using the WITH RECURSIVE…

Programming Languages · Computer Science 2026-04-27 Anna Herlihy , Amir Shaikhha , Anastasia Ailamaki , Martin Odersky

Recursive neural networks have widely been used by researchers to handle applications with recursively or hierarchically structured data. However, embedded control flow deep learning frameworks such as TensorFlow, Theano, Caffe2, and MXNet…

Machine Learning · Computer Science 2018-09-05 Eunji Jeong , Joo Seong Jeong , Soojeong Kim , Gyeong-In Yu , Byung-Gon Chun
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