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Deep Bayesian neural network has aroused a great attention in recent years since it combines the benefits of deep neural network and probability theory. Because of this, the network can make predictions and quantify the uncertainty of the…

Machine Learning · Computer Science 2019-03-25 Yikuan Li , Yajie Zhu

We uncover a strong correspondence between Bayesian Networks and (Multiplicative) Linear Logic Proof-Nets, relating the two as a representation of a joint probability distribution and at the level of computation, so yielding a…

Logic in Computer Science · Computer Science 2024-12-31 Thomas Ehrhard , Claudia Faggian , Michele Pagani

Rejoinder to "Brownian distance covariance" by G\'abor J. Sz\'ekely and Maria L. Rizzo [arXiv:1010.0297]

Applications · Statistics 2010-10-06 Gábor J. Székely , Maria L. Rizzo

In literature there are several studies on the performance of Bayesian network structure learning algorithms. The focus of these studies is almost always the heuristics the learning algorithms are based on, i.e. the maximisation algorithms…

Machine Learning · Statistics 2012-08-28 Marco Scutari , Adriana Brogini

As a co-author of the paper Theoretical understanding of evolutionary dynamics on inhomogeneous networks, I would like to express my disagreement with the conclusion of the paper. In this response, I present a thorough examination of the…

Physics and Society · Physics 2023-04-25 Christopher Li

Suppose that multiple experts (or learning algorithms) provide us with alternative Bayesian network (BN) structures over a domain, and that we are interested in combining them into a single consensus BN structure. Specifically, we are…

Machine Learning · Statistics 2015-03-17 Jose M. Peña

We comment on the paper "Teleportation with a uniformly accelerated partner" (quant-ph/0302179).

Quantum Physics · Physics 2007-05-23 Ralf Schützhold , William G. Unruh

We are most grateful to all discussants for their positive comments and many thought-provoking questions. In addition, the discussants provide a number of useful leads into various areas of the literatures on time series, forecasting and…

Testing whether a probability distribution is compatible with a given Bayesian network is a fundamental task in the field of causal inference, where Bayesian networks model causal relations. Here we consider the class of causal structures…

Machine Learning · Statistics 2020-09-04 Aditya Kela , Kai von Prillwitz , Johan Aberg , Rafael Chaves , David Gross

In this contribution we discuss some approaches of network analysis providing information about single links or single nodes with respect to a null hypothesis taking into account the heterogeneity of the system empirically observed. With…

Methodology · Statistics 2021-08-30 Salvatore Miccichè , Rosario Nunzio Mantegna

Discussion of "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

Methodology · Statistics 2010-10-06 Xiao-Li Meng

This is primarily a pedagogical paper. The paper re-visits some well-known quantum information theory inequalities. It does this from a quantum Bayesian networks perspective. The paper illustrates some of the benefits of using quantum…

Quantum Physics · Physics 2012-08-09 Robert R. Tucci

We propose here two new recommendation methods, based on the appropriate normalization of already existing similarity measures, and on the convex combination of the recommendation scores derived from similarity between users and between…

Physics and Society · Physics 2014-12-12 A. Fiasconaro , M. Tumminello , V. Nicosia , V. Latora , R. N. Mantegna

A comment on a recent Letter by Baker and Kawashima (Phys. Rev. Lett. {\bf 75}, 994 (1995)).

Condensed Matter · Physics 2016-08-31 Jae-Kwon Kim

We analyze a science collaboration network, i.e. a network whose nodes are scientists with edges connecting them for each paper published together. Furthermore we develop a model for the simulation of discontiguous small-world networks that…

Statistical Mechanics · Physics 2007-05-23 Felix Putsch

Deep neural networks (DNN) are versatile parametric models utilised successfully in a diverse number of tasks and domains. However, they have limitations---particularly from their lack of robustness and over-sensitivity to out of…

Machine Learning · Statistics 2020-01-01 John Mitros , Brian Mac Namee

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

We clarify a number of points raised in [Matias, arXiv:cond-mat/0507471v2 (2005)].

Disordered Systems and Neural Networks · Physics 2007-05-23 S. Boccaletti , M. Chavez , A. Amann , D. -U. Hwang

This is a technical report, containing all the theorem proofs in paper "Link Identifiability in Communication Networks with Two Monitors" by Liang Ma, Ting He, Kin K. Leung, Ananthram Swami, and Don Towsley, published in IEEE Globecom,…

Networking and Internet Architecture · Computer Science 2020-12-29 Liang Ma , Ting He , Kin K. Leung , Ananthram Swami , Don Towsley

This paper has been withdrawn due to errors found by authors. A correct version of this paper is published in: Tomasz M. Rusin, Wlodek Zawadzki, "Quantum theory of symmetric screening in the Hartree approximation", Phys. stat. sol. (b) 243,…

Materials Science · Physics 2007-05-23 Tomasz M. Rusin , Wlodek Zawadzki
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