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The analysis of papers on usage NMR in quantum computations is provided and the probable direction of the future investigations are considered.

Quantum Physics · Physics 2007-05-23 Vladimir V. Voronov

In parallel to the ever-growing usage of mechanized proofs in diverse areas of mathematics and computer science, proof assistants are used more and more for education. This paper surveys previous work related to the use of proof assistants…

Logic in Computer Science · Computer Science 2025-05-21 Frédéric Tran Minh , Laure Gonnord , Julien Narboux

Comment on "Quantifying the Fraction of Missing Information for Hypothesis Testing in Statistical and Genetic Studies" [arXiv:1102.2774]

Methodology · Statistics 2011-02-16 Tian Zheng , Shaw-Hwa Lo

Comment on "Quantifying the Fraction of Missing Information for Hypothesis Testing in Statistical and Genetic Studies" [arXiv:1102.2774]

Methodology · Statistics 2011-02-16 I-Shou Chang , Chung-Hsing Chen , Li-Chu Chien , Chao A. Hsiung

Several subadditivity results and conjectures are given for matrices (or operators), block-matrices, concave functions and norms.

Functional Analysis · Mathematics 2008-05-15 Jean-Christophe Bourin

The goal of this article is to present a survey of the recent theory of plurisubharmonic functions of quaternionic variables, and its applications to theory of valuations on convex sets and HKT-geometry (HyperK\"ahler with Torsion). The…

Metric Geometry · Mathematics 2016-07-08 Semyon Alesker

Support Vector Machine (SVM) is a powerful tool in binary classification, known to attain excellent misclassification rates. On the other hand, many realworld classification problems, such as those found in medical diagnosis, churn or fraud…

Machine Learning · Statistics 2023-12-25 Sandra Benítez-Peña , Rafael Blanquero , Emilio Carrizosa , Pepa Ramírez-Cobo

Short review article on quantum computation accepted for Supplement III, Encyclopaedia of Mathematics (publication expected Summer 2001). See also http://www.wkap.nl/series.htm/ENM

Quantum Physics · Physics 2007-05-23 E. H. Knill , M. A. Nielsen

Work in progress concerning alternative formalizations of arithmetic.

Logic · Mathematics 2018-01-04 David M. Cerna

A relevant reference ([14]) has been added.

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. C. Bento , O. Bertolami , P. V. Moniz , J. M. Mourao , P. M. Sá

In this paper, we present a new approach to the semantic enrichment of mathematical expression problem. Our approach is a combination of statistical machine translation and disambiguation which makes use of surrounding text of the…

Digital Libraries · Computer Science 2013-06-03 Minh-Quoc Nghiem , Giovanni Yoko Kristianto , Goran Topic , Akiko Aizawa

These supplementary notes in the ArXiv are a companion to our paper "Bocher contractions of conformally superintegrable Laplace equations" [arXiv:1512.09315]. They contain background material and the details of the extensive computations…

Mathematical Physics · Physics 2024-04-19 E. G. Kalnins , W. Miller , E. Subag

The Support Vector Machine (SVM) of Vapnik (1998) has become widely established as one of the leading approaches to pattern recognition and machine learning. It expresses predictions in terms of a linear combination of kernel functions…

Machine Learning · Computer Science 2013-01-18 Christopher M. Bishop , Michael Tipping

I provide some comments on Arithmetic Teichmuller Spaces constructed in my paper arXiv:2106.11452.

Algebraic Geometry · Mathematics 2022-01-06 Kirti Joshi

We prove a support theorem of the type of Stroock-Varadhan for solutions of stochastic variational inequalities.

Probability · Mathematics 2010-05-19 Jiagang Ren , Siyan Xu

A brief comment on A variational Bayesian approach for inverse problems with skew-t error distributions (Guha et al., Journal of Computational Physics 301 (2015) 377-393) is given in this letter.

Methodology · Statistics 2016-11-24 Javier E. Contreras-Reyes , Freddy Omar López Quintero

Rejoinder: Bayesian Checking of the Second Levels of Hierarchical Models [arXiv:0802.0743]

Methodology · Statistics 2008-02-08 M. J. Bayarri , M. E. Castellanos

We discuss conditions ensuring the (strict) convergence of stochastic gradient algorithms.

Probability · Mathematics 2016-10-12 Michel Benaim

A comment on cond-mat/0210707, cond-mat/0208230, cond-mat/0207153, and cond-mat/0202140.

Statistical Mechanics · Physics 2007-05-23 I. Ispolatov , M. Karttunen

Comment on recent paper by I. Horv\'ath and P. Marko\v{s}, "Super-universality in Anderson localization", Phys. Rev. Lett. 129, 106601 (2022) [arXiv:2110.11266].

Disordered Systems and Neural Networks · Physics 2023-09-27 I. S. Burmistrov