Journal ArticleDOI
Probability Theory: The Logic of Science
TLDR
In this article, the application of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology is discussed, along with its application in a wider context.Abstract:
This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. Now results are discussed, along with the application of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book is not restricted to one particular discipline but rather will be of interest to scientists working in any area where inference from incomplete information is necessary.read more
Citations
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Journal ArticleDOI
Parton distributions with LHC data
Richard D. Ball,Valerio Bertone,Stefano Carrazza,Christopher S. Deans,Luigi Del Debbio,Stefano Forte,Alberto Guffanti,Nathan P. Hartland,José I. Latorre,Juan Rojo,Maria Ubiali +10 more
TL;DR: In this article, the first determination of parton distributions of the nucleon at NLO and NNLO based on a global data set which includes LHC data: NNPDF2.3 is presented, which includes, besides the deep inelastic, Drell-Yan, gauge boson production and jet data already used in previous global PDF determinations, all relevant LHC Data for which experimental systematic uncertainties are currently available: ATLAS and LHCb W and Z rapidity distributions from the 2010 run, CMS W electron asymmetry data from the 2011 run,
Journal ArticleDOI
How to Grow a Mind: Statistics, Structure, and Abstraction
TL;DR: This review describes recent approaches to reverse-engineering human learning and cognitive development and, in parallel, engineering more humanlike machine learning systems.
Journal ArticleDOI
Representation of Confidence Associated with a Decision by Neurons in the Parietal Cortex
Roozbeh Kiani,Michael N. Shadlen +1 more
TL;DR: It is shown that the same neurons that represent formation of a decision encode certainty about the decision, which in humans would be described as the degree of confidence in one's decision.
LSST Science Book, Version 2.0
Paul A. Abell,Houston Nasa,J. Allison,Alabama A-M,Scott F. Anderson,John Andrew,Tucson Noao,J.Roger P. Angel,U Arizona,Lee Armus,David Arnett,S. J. Asztalos,Berkeley Lbl,Tim Axelrod,Lsst Corp.,Stephen Bailey,David R. Ballantyne,Georgia Tech,J. Bankert,U Purdue,Wayne A. Barkhouse,U North Dakota,Jeffrey D. Barr,L. Felipe Barrientos,Catolica Chile U.,Aaron J. Barth,Irvine Uc,James G. Bartlett,Paris Diderot U.,Andrew C. Becker,Jacek Becla,Timothy C. Beers,Joseph P. Bernstein,Urbana Illinois U.,U New York,Berkeley Uc,Davis Uc,U Vanderbilt,Jpl Caltech,U Ohio,Livermore Llnl,Florida Inst. Tech.,Astrophys. Inst. Potsdam +42 more
Journal ArticleDOI
Why psychologists must change the way they analyze their data: the case of psi: comment on Bem (2011).
TL;DR: It is concluded that Bem's p values do not indicate evidence in favor of precognition; instead, they indicate that experimental psychologists need to change the way they conduct their experiments and analyze their data.
References
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Journal ArticleDOI
Stastical Decision Theory and Bayesian Analysis.
Malay Ghosh,James O. Berger +1 more
Book
Statistical Decision Theory and Bayesian Analysis
TL;DR: An overview of statistical decision theory, which emphasizes the use and application of the philosophical ideas and mathematical structure of decision theory.
Book
Gibbs States on Countable Sets
TL;DR: In this paper, Gibbs states and Markov random fields on countable graphs are used to model the phase transition of a particle system and the extreme points of Gv.1.