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Spreadsheet workbook contents are simple programs. Because of this, probabilistic programming techniques can be used to perform Bayesian inversion of spreadsheet computations. What is more, existing execution engines in spreadsheet…

Artificial Intelligence · Computer Science 2016-06-15 Mike Wu , Yura Perov , Frank Wood , Hongseok Yang

In the last decades the Moore-Penrose pseudoinverse has found a wide range of applications in many areas of Science and became a useful tool for physicists dealing, for instance, with optimization problems, with data analysis, with the…

Mathematical Physics · Physics 2015-06-03 J. C. A. Barata , M. S. Hussein

The main objective of this paper is to introduce unique representations and characterizations for the weighted core inverse of matrices. We also investigate various properties of these inverses and their relationships with other generalized…

Numerical Analysis · Mathematics 2023-12-15 Bibekananda Sitha , Ratikanta Behera , Jajati Keshari Sahoo , R. N. Mohapatra , Predrag Stanimirovic

We study different fractional extensions of the Poisson process and generalized counting processes by introducing time-change represented by the inverse to the sums of stable and tempered stable subordinators. We state the governing…

Probability · Mathematics 2026-04-02 Lyudmyla Sakhno , Artem Storozhuk

The notion of the Moore-Penrose inverse of tensors with the Einstein product was introduced, very recently. In this paper, we further elaborate this theory by producing a few characterizations of different generalized inverses of tensors. A…

Rings and Algebras · Mathematics 2018-09-19 Ratikanta Behera , Debasisha Mishra

Recent work [1] has utilized Moore-Penrose (MP) inverse in deep convolutional neural network (DCNN) learning, which achieves better generalization performance over the DCNN with a stochastic gradient descent (SGD) pipeline. However, Yang's…

Machine Learning · Computer Science 2021-01-06 Wandong Zhang , Yimin Yang , Jonathan Wu

We examine an analytic variational inference scheme for the Gaussian Process State Space Model (GPSSM) - a probabilistic model for system identification and time-series modelling. Our approach performs variational inference over both the…

Machine Learning · Statistics 2018-12-11 Alessandro Davide Ialongo , Mark van der Wilk , Carl Edward Rasmussen

Approximate computing has shown to provide new ways to improve performance and power consumption of error-resilient applications. While many of these applications can be found in image processing, data classification or machine learning, we…

Numerical Analysis · Computer Science 2017-03-08 Michael Lass , Thomas D. Kühne , Christian Plessl

We will discuss two approaches to estimating partial derivatives and the metric components; one utilizing past work describing a causal set $\Box$ operator, and one using a construction from linear algebra called the Moore-Penrose inverse.…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Samuel Shuman

We present explicit formulas for Moore-Penrose inverses of some families of set inclusion matrices arising from sets, vector spaces, and designs.

Combinatorics · Mathematics 2023-05-23 Ali Azimi , R. B. Bapat , Mohammad Farrokhi Derakhshandeh Ghouchan

Greville's method has been utilized in (Broad Learn-ing System) BLS to propose an effective and efficient incremental learning system without retraining the whole network from the beginning. For a column-partitioned matrix where the second…

Numerical Analysis · Mathematics 2022-10-28 Hufei Zhu

In the present paper we investigate Moore-Penrose inverse and characteristic matrix of unbounded WCT operators on the Hilbert space $L^2(\mu)$. Also, we obtain some applications of the Moore-Penrose inverse of unbounded operators on the…

Functional Analysis · Mathematics 2021-12-21 Yousef Estaremi , Saeedeh Shamsi

We present the submatrix method, a highly parallelizable method for the approximate calculation of inverse p-th roots of large sparse symmetric matrices which are required in different scientific applications. We follow the idea of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-06 Michael Lass , Stephan Mohr , Hendrik Wiebeler , Thomas D. Kühne , Christian Plessl

The performance of processing search queries depends heavily on the stored index size. Accordingly, considerable research efforts have been devoted to the development of efficient compression techniques for inverted indexes. Roughly, index…

Information Retrieval · Computer Science 2011-07-29 M. Feldman , R. Lempel , O. Somekh , K. Vornovitsky

Open-source process mining provides many algorithms for the analysis of event data which could be used to analyze mainstream processes (e.g., O2C, P2P, CRM). However, compared to commercial tools, they lack the performance and struggle to…

Databases · Computer Science 2022-04-12 Alessandro Berti , Minh Phan Nghia , Wil M. P. van der Aalst

One of the major challenges providing large databases like the WFCAM Science Archive (WSA) is to minimize ingest times for pixel/image metadata and catalogue data. In this article we describe how the pipeline processed data are ingested…

Astrophysics · Physics 2007-11-14 Eckhard Sutorius , Johann Bryant , Ross Collins , Nicholas Cross , Nigel Hambly , Mike Read

This paper investigates the comparative performance of two fundamental approaches to solving linear regression problems: the closed-form Moore-Penrose pseudoinverse and the iterative gradient descent method. Linear regression is a…

Machine Learning · Computer Science 2025-05-30 Alex Adams

Nowadays, analyzing and reducing the ever larger astronomical datasets is becoming a crucial challenge, especially for long cumulated observation times. The INTEGRAL/SPI X-gamma-ray spectrometer is an instrument for which it is essential to…

Instrumentation and Methods for Astrophysics · Physics 2013-05-27 L. Bouchet , P. Amestoy , A. Buttari , F. -H. Rouet , M. Chauvin

In this paper, we present MorphStore, an open-source in-memory columnar analytical query engine with a novel holistic compression-enabled processing model. Basically, compression using lightweight integer compression algorithms already…

This paper presents the use of a computer application based on a MySQL database, managed by PHP programs, allowing the selection of a heating device using coefficient-based calculus.

Databases · Computer Science 2009-03-10 Tiberiu Marius Karnyanszky