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Calibration methods have been widely studied in survey sampling over the last decades. Viewing calibration as an inverse problem, we extend the calibration technique by using a maximum entropy method. Finding the optimal weights is achieved…

Methodology · Statistics 2009-09-23 Fabrice Gamboa , Jean-Michel Loubes , Paul Rochet

We establish the theoretical framework for implementing the maximumn entropy on the mean (MEM) method for linear inverse problems in the setting of approximate (data-driven) priors. We prove a.s. convergence for empirical means and further…

Machine Learning · Statistics 2024-12-25 Matthew King-Roskamp , Rustum Choksi , Tim Hoheisel

Existing training criteria in automatic speech recognition(ASR) permit the model to freely explore more than one time alignments between the feature and label sequences. In this paper, we use entropy to measure a model's uncertainty, i.e.…

Computation and Language · Computer Science 2022-12-26 Ehsan Variani , Ke Wu , David Rybach , Cyril Allauzen , Michael Riley

We commonly encounter the problem of identifying an optimally weight adjusted version of the empirical distribution of observed data, adhering to predefined constraints on the weights. Such constraints often manifest as restrictions on the…

Machine Learning · Statistics 2024-01-17 Abhisek Chakraborty , Anirban Bhattacharya , Debdeep Pati

Organisms and algorithms learn probability distributions from previous observations, either over evolutionary time or on the fly. In the absence of regularities, estimating the underlying distribution from data would require observing each…

Statistical Mechanics · Physics 2024-12-10 William Bialek , Stephanie E. Palmer , David J. Schwab

The asymptotic convergence of probability density function (pdf) and convergence of differential entropy are examined for the non-stationary processes that follow the maximum entropy principle (MaxEnt) and maximum entropy production…

Information Theory · Computer Science 2014-01-14 Alexander L. Fradkov , Dmitry S. Shalymov

We propose a novel estimator of the mutual information between two ordinal vectors $x$ and $y$. Our approach is inductive (as opposed to deductive) in that it depends on the data generating distribution solely through some nonparametric…

Machine Learning · Statistics 2022-04-12 Yves-Laurent Kom Samo

Inspired by applications to theories of coding and communication in networks of nervous tissue, we study maximum entropy distributions on weighted graphs with a given expected degree sequence. These distributions are characterized by…

Statistics Theory · Mathematics 2018-12-18 Christopher Hillar , Andre Wibisono

Now-a-days, it is important to find out solutions of Multi-Objective Optimization Problems (MOPs). Evolutionary Strategy helps to solve such real world problems efficiently and quickly. But sequential Evolutionary Algorithms (EAs) require…

Neural and Evolutionary Computing · Computer Science 2016-11-15 Md. Asadul Islam , G. M. Mashrur-E-Elahi , M. M. A. Hashem

Knowledge discovery from data is an inherently iterative process. That is, what we know about the data greatly determines our expectations, and therefore, what results we would find interesting and/or surprising. Given new knowledge about…

Data Structures and Algorithms · Computer Science 2019-04-30 Michael Mampaey , Jilles Vreeken , Nikolaj Tatti

A composite likelihood is an inference function derived by multiplying a set of likelihood components. This approach provides a flexible framework for drawing inference when the likelihood function of a statistical model is computationally…

Methodology · Statistics 2024-12-10 Giuseppe Alfonzetti , Ruggero Bellio , Yunxiao Chen , Irini Moustaki

Maximum Likelihood Estimation (MLE) is the bread and butter of system inference for stochastic systems. In some generality, MLE will converge to the correct model in the infinite data limit. In the context of physical approaches to system…

Machine Learning · Statistics 2020-03-11 Junghyo Jo , Danh-Tai Hoang , Vipul Periwal

To quantify the complexity of a system, entropy-based methods have received considerable critical attentions in real-world data analysis. Among numerous entropy algorithms, amplitude-based formulas, represented by Sample Entropy, suffer…

Signal Processing · Electrical Eng. & Systems 2022-01-12 Hongjian Xiao , Danilo P. Mandic

The present work shows that the maximum-entropy method can be applied to a sample of neuronal recordings along two different routes: (1) apply to the sample; or (2) apply to a larger, unsampled neuronal population from which the sample is…

Neurons and Cognition · Quantitative Biology 2020-10-20 PierGianLuca Porta Mana , Vahid Rostami , Emiliano Torre , Yasser Roudi

Dynamic processes on networks are fundamental to understanding modern-day phenomena such as information diffusion and opinion polarization on the internet or epidemics spreading through society. However, such processes are notoriously…

Physics and Society · Physics 2025-07-15 Noam Abadi , Franco Ruzzenenti

Composite likelihoods are increasingly used in applications where the full likelihood is analytically unknown or computationally prohibitive. Although the maximum composite likelihood estimator has frequentist properties akin to those of…

Methodology · Statistics 2011-07-08 Mathieu Ribatet , Daniel Cooley , Anthony C. Davison

To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

Computation · Statistics 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

Within the task of collaborative filtering two challenges for computing conditional probabilities exist. First, the amount of training data available is typically sparse with respect to the size of the domain. Thus, support for higher-order…

Information Retrieval · Computer Science 2012-07-19 Lawrence Zitnick , Takeo Kanade

The Estimation of Distribution Algorithm is a new class of population based search methods in that a probabilistic model of individuals is estimated based on the high quality individuals and used to generate the new individuals. In this…

Artificial Intelligence · Computer Science 2019-04-03 R. Rastegar , M. R. Meybodi

I discuss the design of the method of entropic inference as a general framework for reasoning under conditions of uncertainty. The main contribution of this discussion is to emphasize the pragmatic elements in the derivation. More…

History and Philosophy of Physics · Physics 2014-12-19 Ariel Caticha
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