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A fast algorithm for solving the under-determined 3-D linear gravity inverse problem based on the randomized singular value decomposition (RSVD) is developed. The algorithm combines an iteratively reweighted approach for $L_1$-norm…

Numerical Analysis · Mathematics 2022-08-16 Saeed Vatankhah , Rosemary A. Renaut , Vahid E. Ardestani

Reproducibility is an important feature of science; experiments are retested, and analyses are repeated. Trust in the findings increases when consistent results are achieved. Despite the importance of reproducibility, significant work is…

Digital Libraries · Computer Science 2023-01-12 Akhil Pandey Akella , Hamed Alhoori , David Koop

The bootstrap is a versatile inference method that has proven powerful in many statistical problems. However, when applied to modern large-scale models, it could face substantial computation demand from repeated data resampling and model…

Methodology · Statistics 2022-02-02 Henry Lam

Some of my previous publications were incomplete in the sense that non trivial zeros belonging to a particular type of fundamental domain have been inadvertently ignored. Due to this fact, I was brought to believe that computations done by…

Complex Variables · Mathematics 2016-02-05 Dorin Ghisa

Sequential techniques can enhance the efficiency of the approximate Bayesian computation algorithm, as in Sisson et al.'s (2007) partial rejection control version. While this method is based upon the theoretical works of Del Moral et al.…

Computation · Statistics 2010-10-11 Mark A. Beaumont , Jean-Marie Cornuet , Jean-Michel Marin , Christian P. Robert

This report describes an initial replication study of the PRECISE system and develops a clearer, more formal description of the approach. Based on our evaluation, we conclude that the PRECISE results do not fully replicate. However the…

Computation and Language · Computer Science 2015-09-03 Michael Minock , Nils Everling

A detailed analysis of the BF formulation for general relativity given by Capovilla, Montesinos, Prieto, and Rojas is performed. The action principle of this formulation is written in an equivalent form by doing a transformation of the…

General Relativity and Quantum Cosmology · Physics 2011-11-14 Merced Montesinos , Mercedes Velázquez

In the framework of the special theory of relativity, the relativistic theory of gravitation (RTG) is constructed. The energy-momentum tensor density of all the matter fields (including gravitational one) is treated as a source of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. A. Logunov

We give an independent derivation of the Engle-Pereira-Rovelli spinfoam model for quantum gravity which recently appeared in [arXiv:0705.2388]. Using the coherent state techniques introduced earlier in [arXiv:0705.0674], we show that the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Etera R. Livine , Simone Speziale

R is a language and computing environment that has been developed for data manipulation, statistical computing, and scientific graphing. In the paper, we demonstrate its use analyzing data collected in a few experiments taken from an…

Physics Education · Physics 2009-11-25 Primoz Peterlin

Random Reshuffling (RR) is an algorithm for minimizing finite-sum functions that utilizes iterative gradient descent steps in conjunction with data reshuffling. Often contrasted with its sibling Stochastic Gradient Descent (SGD), RR is…

Optimization and Control · Mathematics 2021-04-06 Konstantin Mishchenko , Ahmed Khaled , Peter Richtárik

Replication of scientific experiments is critical to the advance of science. Unfortunately, the discipline of Computer Science has never treated replication seriously, even though computers are very good at doing the same thing over and…

General Literature · Computer Science 2013-04-15 Ian P. Gent

Several problems in physics, in particular the averaging problem in gravity, can be described in a formalism derived from the real-space Renormalization Group (RG) methods. It is shown that the RG flow is provided by the Ricci-Hamilton…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kamilla Piotrkowska

Lack of repeatability and generalisability are two significant threats to continuing scientific development in Natural Language Processing. Language models and learning methods are so complex that scientific conference papers no longer…

Computation and Language · Computer Science 2018-08-07 Andrew Moore , Paul Rayson

We introduce new models of f(R) theories of gravity that are generalization of Horava-Lifshitz gravity.

High Energy Physics - Theory · Physics 2013-05-29 J. Kluson

We present a new approach of the reconstruction method based on the use of the cosmic parameters instead of a time law for the scale factor. This allows the derivation and analysis of a set of new non-trivial cosmological solutions for…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Sante Carloni , Rituparno Goswami , Peter K. S. Dunsby

This paper presents an in-depth mathematical analysis of the Monte Carlo replica method, commonly used in global fitting studies within the high-energy physics theory field. For the first time, we offer a rigorous derivation of the…

High Energy Physics - Phenomenology · Physics 2024-10-10 Mark N. Costantini

The aim of this paper is to reconstruct and analyze the stability of some cosmological models against linear perturbations in $f(\mathcal{G},T)$ gravity ($\mathcal{G}$ and $T$ represent the Gauss-Bonnet invariant and trace of the…

General Relativity and Quantum Cosmology · Physics 2017-06-22 M. Sharif , Ayesha Ikram

Tensor regression is an important tool for tensor data analysis, but existing works have not considered the impact of outliers, making them potentially sensitive to such data points. This paper proposes a low tubal rank robust regression…

Methodology · Statistics 2026-05-11 Zihao Song , Jicai Liu , Heng Lian , Weihua Zhao

Rejoinder to ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Bradley Efron , Trevor Hastie , Iain Johnstone , Robert Tibshirani