Probability Theory: The Logic of Science

By R. Baierlein. 2004

595 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/bf5a13c1a5096e86eaa316b97ff43df0078a2042

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Citations in the corpus

Kullback-Leibler average, consensus on probability densities, and distributed state estimation with guaranteed stability (2014, methodology): “Thus, this choice is coherent with the Principle of Minimum Discrimination Information (PMDI) according to which the PDF which best represents the current state of knowledge is the one which produces an information gain as small as possible (the interested reader is referred to Akaike (1973) and Cam”
Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons (2013, background): “Objective functional and linear constraints In the maximum-entropy approach [42, 43], the unknown discrete probability distribution p is determined by maximizing the Shannon entropy [44] or the negative of the relative entropy [45, 46] subject to constraints on p.”
A strict maximum likelihood explanation of MaxEnt, and some implications for distribution modelling (2013, background): “Since then MaxEnt has undergone considerable development ( e.g., Jaynes 2003), including adaptation to different research questions in several branches of science (see Phillips et al. 2004, Dudík & Phillips 2007).”
Maximum entropy production and the fluctuation theorem (2005, methodology): “The constrained maximization of Shannon information entropy (MaxEnt) is an algorithm for constructing probability distributions from partial information, which resides naturally within the framework of Bayesian probability theory [1].”
Bayesian Cloud Analysis: efficient structural fragility assessment using linear regression (2014, unknown): “…( log η Y |Sa β Y |Sa ) − P (Y > 1| Sa, D) ]2 · p (χ| D) · dχ (6) The joint probability distribution for χ can be written as (using the probability theory’s product rule, Jaynes 2003): p (χ| D) = p ( log a, b| β Y |Sa , D ) p ( β Y |Sa ∣∣ D ) (7) In the following, we describe how the…”
Hepcidin Revisited, Disulfide Connectivity, Dynamics, and Structure (2009, methodology): “Instead of calculating statistical weights (43), we used the binary hypothesis test (28) to explicitly analyze the likelihood of a particular disulfide pattern.”
HESS Opinions "A random walk on water" (2009, unknown): “Jaynes (2003) lists a number of them.”