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Information Theory in Neuroscience

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ISBN: 9783038976646 Year: Pages: 280 DOI: 10.3390/books978-3-03897-665-3 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Mathematics --- Science (General)
Added to DOAB on : 2019-03-21 15:50:41
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Abstract

As the ultimate information processing device, the brain naturally lends itself to being studied with information theory. The application of information theory to neuroscience has spurred the development of principled theories of brain function, and has led to advances in the study of consciousness, as well as to the development of analytical techniques to crack the neural code—that is, to unveil the language used by neurons to encode and process information. In particular, advances in experimental techniques enabling the precise recording and manipulation of neural activity on a large scale now enable for the first time the precise formulation and the quantitative testing of hypotheses about how the brain encodes and transmits the information used for specific functions across areas. This Special Issue presents twelve original contributions on novel approaches in neuroscience using information theory, and on the development of new information theoretic results inspired by problems in neuroscience.

New Developments in Statistical Information Theory Based on Entropy and Divergence Measures

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ISBN: 9783038979364 / 9783038979371 Year: Pages: 344 DOI: 10.3390/books978-3-03897-937-1 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Social Sciences --- Sociology --- Statistics
Added to DOAB on : 2019-06-26 08:44:06
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This book presents new and original research in Statistical Information Theory, based on minimum divergence estimators and test statistics, from a theoretical and applied point of view, for different statistical problems with special emphasis on efficiency and robustness. Divergence statistics, based on maximum likelihood estimators, as well as Wald’s statistics, likelihood ratio statistics and Rao’s score statistics, share several optimum asymptotic properties, but are highly non-robust in cases of model misspecification under the presence of outlying observations. It is well-known that a small deviation from the underlying assumptions on the model can have drastic effect on the performance of these classical tests. Specifically, this book presents a robust version of the classical Wald statistical test, for testing simple and composite null hypotheses for general parametric models, based on minimum divergence estimators.

Keywords

sparse --- robust --- divergence --- MM algorithm --- Bregman divergence --- generalized linear model --- local-polynomial regression --- model check --- nonparametric test --- quasi-likelihood --- semiparametric model --- Wald statistic --- composite likelihood --- maximum composite likelihood estimator --- Wald test statistic --- composite minimum density power divergence estimator --- Wald-type test statistics --- Bregman divergence --- general linear model --- hypothesis testing --- influence function --- robust --- Wald-type test --- log-linear models --- ordinal classification variables --- association models --- correlation models --- minimum penalized ?-divergence estimator --- consistency --- asymptotic normality --- goodness-of-fit --- bootstrap distribution estimator --- thematic quality assessment --- relative entropy --- logarithmic super divergence --- robustness --- minimum divergence inference --- generalized renyi entropy --- minimum divergence methods --- robustness --- single index model --- model assessment --- statistical distance --- non-quadratic distance --- total variation --- mixture index of fit --- Kullback-Leibler distance --- divergence measure --- ?-divergence --- relative error estimation --- robust estimation --- information geometry --- centroid --- Bregman information --- Hölder divergence --- indoor localization --- robustness --- efficiency --- Bayesian nonparametric --- Bayesian semi-parametric --- asymptotic property --- minimum disparity methods --- Hellinger distance --- Berstein von Mises theorem --- measurement errors --- robust testing --- two-sample test --- misspecified hypothesis and alternative --- 2-alternating capacities --- composite hypotheses --- corrupted data --- least-favorable hypotheses --- Neyman Pearson test --- divergence based testing --- Chernoff Stein lemma --- compressed data --- Hellinger distance --- representation formula --- iterated limits --- influence function --- consistency --- asymptotic normality --- location-scale family --- n/a

Theodicy

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ISBN: 9783038972280 / 9783038972297 Year: Pages: 190 DOI: 10.3390/books978-3-03897-229-7 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Religion
Added to DOAB on : 2019-06-26 08:44:06
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The problem of evil has vexed for centuries:

Keywords

theodicy --- queer reading --- gay studies --- liberation theology --- sadomasochism --- suffering --- theodicy --- theodicism --- antitheodicy --- antitheodicism --- realism --- metaphysical realism --- recognition --- acknowledgment --- literature --- the Book of Job --- Roth, Joseph --- creation --- philosophy of religion --- multiverses --- suffering --- black lives matter --- theodicy --- race --- racial disregard --- Marilynne Robinson --- Home --- Gilead trilogy --- problem of evil --- theodicy --- suffering love --- hope --- the problem of evil --- type and token values --- indeterminism --- Paul Celan --- Nelly Sachs --- Martin Heidegger --- Todtnauberg --- Zurichat the Stork --- enestological theodicy --- god --- evil --- infinite value --- the problem of evil --- Anselmianism --- God --- evil --- universe --- world --- multiverse --- Almeida --- problem of evil --- theodicy --- Marilyn Adams --- Richard Swinburne --- mystical body --- god --- evil --- goodness --- religion --- problem of evil --- theodicy --- Qur’an --- Job --- good --- evil --- al Ghaz?l? --- mysticism --- Islam --- theodicy --- problem of evil --- horrendous evil --- disability --- rational moral wish satisfaction --- Marilyn McCord Adams --- anti-theodicy --- theodicy --- suffering --- epistemic injustice --- problem of evil --- theodicy --- anti-theodicy --- Emmanuel Levinas --- Primo Levi --- suffering --- Margaret Cavendish --- theodicy --- problem of evil --- free will --- feminist ethics --- atrocity paradigm --- redemptive goods --- divine justice --- Flannery O’Connor --- Teilhard de Chardin --- good and evil --- theodicy --- Christian vision --- n/a

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