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Evaluating whether data streams are drawn from the same distribution is at the heart of various machine learning problems. This is particularly relevant for data generated by dynamical systems since such systems are essential for many…

Distributed software is very tricky to implement correctly as some errors only occur in peculiar situations. For such errors testing is not effective. Mathematically proving correctness is hard and time consuming, and therefore, it is…

Logic in Computer Science · Computer Science 2025-08-08 Jan Friso Groote , Jeroen J. A. Keiren

We present a new approach to fault tolerance for High Performance Computing system. Our approach is based on a careful adaptation of the Algorithmic Based Fault Tolerance technique (Huang and Abraham, 1984) to the need of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-06-20 George Bosilca , Remi Delmas , Jack Dongarra , Julien Langou

Deep learning has shown successful application in visual recognition and certain artificial intelligence tasks. Deep learning is also considered as a powerful tool with high flexibility to approximate functions. In the present work,…

Machine Learning · Computer Science 2021-12-23 Ayan Chakraborty , Thomas Wick , Xiaoying Zhuang , Timon Rabczuk

In this paper, we examine the different measures of Fault Tolerance in a Distributed Simulated Annealing process. Optimization by Simulated Annealing on a distributed system is prone to various sources of failure. We analyse simulated…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-01 Aaditya Prakash

As the meta-analysis of more than one diagnostic tests can impact clinical decision making and patient health, there is an increasing body of research in models and methods for meta-analysis of studies comparing multiple diagnostic tests.…

Methodology · Statistics 2021-05-11 Aristidis K. Nikoloulopoulos

We present a scheme to automatically set the precision of floating point variables in an application. We design a framework that profiles applications to measure undesirable numerical behavior at the floating point operation level. We use…

Numerical Analysis · Computer Science 2016-06-02 Ralph Nathan , Helia Naeimi , Daniel J. Sorin , Xiaobai Sun

We present a hybrid a-priori/a-posteriori goal oriented error estimator for a combination of dynamic iteration-based solution of ordinary differential equations discretized by finite elements. Our novel error estimator combines estimates…

Numerical Analysis · Mathematics 2026-02-13 Erik Weyl , Andreas Bartel , Manuel Schaller

The severity of type II errors is frequently ignored when deriving a multiple testing procedure, even though utilizing it properly can greatly help in making correct decisions. This paper puts forward a theory behind developing a multiple…

Methodology · Statistics 2014-03-25 Li He , Sanat K. Sarkar , Zhigen Zhao

Computational methods for fractional differential equations exhibit essential instability. Even a minor modification of the coefficients or other entry data may switch good results to the divergent. The goal of this paper is to suggest the…

Numerical Analysis · Mathematics 2021-12-20 P. B. Dubovski , J. A. Slepoi

Program verification is a resource-hungry task. This paper looks at the problem of parallelizing SMT-based automated program verification, specifically bounded model-checking, so that it can be distributed and executed on a cluster of…

Programming Languages · Computer Science 2020-05-19 Prantik Chatterjee , Subhajit Roy , Bui Phi Diep , Akash Lal

This paper presents the integration of constraint propagation and dual proof analysis in an exact, roundoff-error-free MIP solver. The authors employ safe rounding methods to ensure that all results remain provably correct, while…

Optimization and Control · Mathematics 2024-03-21 Sander Borst , Leon Eifler , Ambros Gleixner

Probabilistic model checking computes probabilities and expected values related to designated behaviours of interest in Markov models. As a formal verification approach, it is applied to critical systems; thus we trust that probabilistic…

Logic in Computer Science · Computer Science 2021-10-19 Arnd Hartmanns

The Multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for Uncertainty Quantification (UQ) in Partial Differential Equation (PDE) models, combining model computations at different levels…

Mathematical Software · Computer Science 2023-05-24 Santiago Badia , Jerrad Hampton , Javier Principe

A natural method to evaluate the effectiveness of a testing technique is to measure the defect detection rate when applying the created test cases. Here, real or artificial software defects can be injected into the source code of software.…

Software Engineering · Computer Science 2020-01-28 Miroslav Bures , Pavel Herout , Bestoun S. Ahmed

Next-generation sequencing technologies now constitute a method of choice to measure gene expression. Data to analyze are read counts, commonly modeled using Negative Binomial distributions. A relevant issue associated with this…

Methodology · Statistics 2014-11-10 Elisabetta Bonafede , Franck Picard , Stéphane Robin , Cinzia Viroli

The constant development of new data analysis methods in many fields of research is accompanied by an increasing awareness that these new methods often perform better in their introductory paper than in subsequent comparison studies…

Methodology · Statistics 2024-01-17 Christina Nießl , Sabine Hoffmann , Theresa Ullmann , Anne-Laure Boulesteix

Observational cohort studies are increasingly being used for comparative effectiveness research to assess the safety of therapeutics. Recently, various doubly robust methods have been proposed for average treatment effect estimation by…

Methodology · Statistics 2025-03-11 Xiaoqing Tan , Shu Yang , Wenyu Ye , Douglas E. Faries , Ilya Lipkovich , Zbigniew Kadziola

Emerging deep learning workloads urgently need fast general matrix multiplication (GEMM). To meet such demand, one of the critical features of machine-learning-specific accelerators such as NVIDIA Tensor Cores, AMD Matrix Cores, and Google…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Bo Fang , Xinyi Li , Harvey Dam , Cheng Tan , Siva Kumar Sastry Hari , Timothy Tsai , Ignacio Laguna , Dingwen Tao , Ganesh Gopalakrishnan , Prashant Nair , Kevin Barker , Ang Li

Double machine learning is a statistical method for leveraging complex black-box models to construct approximately unbiased treatment effect estimates given observational data with high-dimensional covariates, under the assumption of a…

Machine Learning · Statistics 2022-06-03 Nitai Fingerhut , Matteo Sesia , Yaniv Romano
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