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Randomized algorithms provide solutions to two ubiquitous problems: (1) the distributed calculation of a principal component analysis or singular value decomposition of a highly rectangular matrix, and (2) the distributed calculation of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-09 Huamin Li , Yuval Kluger , Mark Tygert

In this paper some algorithms will be presented which can be used for the calculation of zeros of polynomials and eigenvalues of polynomial matrices with a multiplicity larger than one. The numerical values calculated with MATLAB are used…

Numerical Analysis · Mathematics 2014-09-23 Sigurd Falk

A sequential importance sampling algorithm is developed for the distribution that results when a matrix of independent, but not identically distributed, Bernoulli random variables is conditioned on a given sequence of row and column sums.…

Computation · Statistics 2013-01-18 Matthew T. Harrison , Jeffrey W. Miller

The main aim of the present book is to suggest some improved estimators using auxiliary and attribute information in case of simple random sampling and stratified random sampling and some inventory models related to capacity constraints.…

General Mathematics · Mathematics 2016-09-13 Sachin Malik , Neeraj Kumar , Florentin Smarandache

The purpose of writing this book is to suggest some improved estimators using auxiliary information in sampling schemes like simple random sampling and systematic sampling. This volume is a collection of five papers. The following problems…

Statistics Theory · Mathematics 2013-08-28 Rajesh Singh , Florentin Smarandache

A brief historical introduction for the enigmatic number Zero is given. The discussions are for popular consumption.

History and Overview · Mathematics 2016-06-08 Asis Kumar Chaudhuri

The survey presents the well-known Warshall's algorithm, a generalization and some interesting applications of this.

Discrete Mathematics · Computer Science 2019-10-29 Zoltán Kása

We consider deterministic and {\em randomized} quantum algorithms simulating $e^{-iHt}$ by a product of unitary operators $e^{-iA_jt_j}$, $j=1,...,N$, where $A_j\in\{H_1,...,H_m\}$, $H=\sum_{i=1}^m H_i$ and $t_j > 0$ for every $j$.…

Quantum Physics · Physics 2009-10-22 Chi Zhang

This work starts from definition of randomness, the results of algorithmic randomness are analyzed from the perspective of application. Then, the source and nature of randomness is explored, and the relationship between infinity and…

General Mathematics · Mathematics 2022-12-01 Yongxin Li

In this paper we study random optimization problems where random functions are investigated in sample paths. Some sufficient conditions ensuring the existence of random solutions to random optimization problems are proposed.

Probability · Mathematics 2020-05-14 Ta Ngoc Anh

Recursive equations for the number of cells with nonzero values at $n$-th step for some two-dimensional reversible second-order cellular automata are proved in this work. Initial configuration is a single cell with the value one and all…

Combinatorics · Mathematics 2014-07-31 Alexander Yu. Vlasov

Unlike Martin-L\"of randomness and Schnorr randomness, computable randomness has not been defined, except for a few ad hoc cases, outside of Cantor space. This paper offers such a definition (actually, several equivalent definitions), and…

Logic · Mathematics 2015-04-23 Jason Rute

This paper has been withdrawn by the author(s),

Discrete Mathematics · Computer Science 2007-05-23 Louis-Sebastien Guimond , Zuzana Masakova , Jiri Patera , Edita Pelantova

Randomization is a common technique used in clinical trials to eliminate potential bias and confounders in a patient population. Equal allocation to treatment groups is the standard due to its optimal efficiency in many cases. However, in…

Applications · Statistics 2020-04-09 Thevaa Chandereng , Xiaodan Wei , Rick Chappell

This paper has been withdrawn. See quant-ph/0408115: G. M. D'Ariano, P. Perinotti and P. Lo Presti, "Classical randomness in quantum measurements"

Quantum Physics · Physics 2007-05-23 Giacomo Mauro D'Ariano , Paoloplacido LoPresti

Randomized algorithms in numerical linear algebra can be fast, scalable and robust. This paper examines the effect of sketching on the right singular vectors corresponding to the smallest singular values of a tall-skinny matrix. We analyze…

Numerical Analysis · Mathematics 2023-05-29 Yuji Nakatsukasa , Taejun Park

This paper is a comment on the paper "Quantum Mechanics and Algorithmic Randomness" was written by Ulvi Yurtsever \cite{Yurtsever} and the briefly explanation of the algorithmic randomness of quantum measurements results. There are…

Quantum Physics · Physics 2017-04-07 Mohammad Shahbazi

In this note a characterization of anallytically Riesz operators is given. This work completes the article [1].

Functional Analysis · Mathematics 2015-07-21 Enrico Boasso

This paper has been withdrawn by the author(s). Please refer to quant-ph/0311171.

Quantum Physics · Physics 2009-09-29 Ahmed Younes , Julian Miller

Deep neural networks have provided a computational framework for understanding object recognition, grounded in the neurophysiology of the primate ventral stream, but fail to account for how we process relational aspects of a scene. For…

Neurons and Cognition · Quantitative Biology 2024-05-17 Jessica A. F. Thompson , Hannah Sheahan , Tsvetomira Dumbalska , Julian Sandbrink , Manuela Piazza , Christopher Summerfield