Results 61 to 70 of about 1,328,298 (163)
Laplace's rule of succession in information geometry
, 2015 Laplace's "add-one" rule of succession modifies the observed frequencies in a sequence of heads and tails by adding one to the observed counts. This improves prediction by avoiding zero probabilities and corresponds to a uniform Bayesian prior on the ...
E Takimoto +6 more
core +2 more sources
Relating geometry descriptions to its derivatives on the web [PDF]
, 2019 Sharing building information over the Web is becoming more popular, leading to advances in describing building models in a Semantic Web context. However, those descriptions lack unified approaches for linking geometry descriptions to building elements ...
Bonduel, Mathias +3 more
core +1 more source
Information Geometry Approach to Parameter Estimation in Markov Chains [PDF]
, 2015 We consider the parameter estimation of Markov chain when the unknown transition matrix belongs to an exponential family of transition matrices. Then, we show that the sample mean of the generator of the exponential family is an asymptotically efficient ...
Hayashi, Masahito, Watanabe, Shun
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Duality in Quantum Information Geometry [PDF]
Open Systems & Information Dynamics, 2004 Let [Formula: see text] be a separable Hilbert space. We consider the manifold [Formula: see text] consisting of density operators ρ on [Formula: see text] such that ρp is of trace class for some p ɛ (0, 1). We say [Formula: see text] is nearby ρ if there exists C > 1 such that C−1 ρ < σ < Cρ.
openaire +1 more source
Information geometry of asymptotically AdS black holes
, 2009 We investigate thermodynamic geometries of two families of asymptotically Anti-de Sitter black holes, i.e. the Reissner-Nordstr\"om Anti-de Sitter in four dimensions and the BTZ black hole.
Jan E. Åman +5 more
core +1 more source
The Geometry of Signal Detection with Applications to Radar Signal Processing
Entropy, 2016 The problem of hypothesis testing in the Neyman–Pearson formulation is considered from a geometric viewpoint. In particular, a concise geometric interpretation of deterministic and random signal detection in the philosophy of information geometry is ...
Yongqiang Cheng +4 more
doaj +1 more source
The Information Geometry of the One-Dimensional Potts Model [PDF]
, 2002 In various statistical-mechanical models the introduction of a metric onto the space of parameters (e.g. the temperature variable, $\beta$, and the external field variable, $h$, in the case of spin models) gives an alternative perspective on the phase ...
Abe R +16 more
core +4 more sources
DiagnosticsBackground: Alzheimer’s disease is a progressive neurological condition marked by a decline in cognitive abilities. Early diagnosis is crucial but challenging due to overlapping symptoms among impairment stages, necessitating non-invasive, reliable ...
Ömer Akgüller +2 more
doaj +1 more source
Deformed Algebras and Generalizations of Independence on Deformed Exponential Families
Entropy, 2015 A deformed exponential family is a generalization of exponential families. Since the useful classes of power law tailed distributions are described by the deformed exponential families, they are important objects in the theory of complex systems.
Hiroshi Matsuzoe, Tatsuaki Wada
doaj +1 more source
Geometry of the Shannon mutual information in continuum QFT
, 2017 We analyze geometric terms and scaling properties of the Shannon mutual information in the continuum. This is done for a free massless scalar field theory in $d$-dimensions, in a coherent state reduced with respect to a general differentiable manifold ...
Junior, David R., Oxman, Luis E.
core +1 more source