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This paper presents a simplified likelihood framework designed to facilitate the reuse, reinterpretation and combination of LHC experimental results. The framework is based on the same underlying structure as the widely used HistFactory…

High Energy Physics - Experiment · Physics 2023-05-18 Nicolas Berger

A promising class of generative models maps points from a simple distribution to a complex distribution through an invertible neural network. Likelihood-based training of these models requires restricting their architectures to allow cheap…

Machine Learning · Computer Science 2018-10-23 Will Grathwohl , Ricky T. Q. Chen , Jesse Bettencourt , Ilya Sutskever , David Duvenaud

We consider high-dimensional inference for potentially misspecified Cox proportional hazard models based on low dimensional results by Lin and Wei [1989]. A de-sparsified Lasso estimator is proposed based on the log partial likelihood…

Statistics Theory · Mathematics 2018-11-02 Shengchun Kong , Zhuqing Yu , Xianyang Zhang , Guang Cheng

These lecture notes cover classical undecidability results in number theory, Hilbert's 10th problem and recent developments around it, also for rings other than the integers. It also contains a sketch of the authors result that the integers…

Number Theory · Mathematics 2013-09-03 Jochen Koenigsmann

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

We show that there is an intimate connection between the theory of nonparametric (smoothed) maximum likelihood estimators for certain inverse problems and integral equations. This is illustrated by estimators for interval censoring and…

Statistics Theory · Mathematics 2013-08-13 Piet Groeneboom

Correction to The Annals of Probability 21 (1993) 554--580 [http://projecteuclid.org/euclid.aop/1176989415]

Probability · Mathematics 2008-09-26 Paul Dupuis , Hitoshi Ishii

Rejoinder to "Statistical Modeling of Spatial Extremes" by A. C. Davison, S. A. Padoan and M. Ribatet [arXiv:1208.3378].

Methodology · Statistics 2012-08-20 A. C. Davison , S. A. Padoan , M. Ribatet

Likelihood-free inference refers to inference when a likelihood function cannot be explicitly evaluated, which is often the case for models based on simulators. Most of the literature is based on sample-based `Approximate Bayesian…

Machine Learning · Statistics 2018-11-22 Conor Durkan , George Papamakarios , Iain Murray

Generative, temporal network models play an important role in analyzing the dependence structure and evolution patterns of complex networks. Due to the complicated nature of real network data, it is often naive to assume that the underlying…

Methodology · Statistics 2024-08-15 Daniel Cirkovic , Tiandong Wang , Xianyang Zhang

Many statistical models have likelihoods which are intractable: it is impossible or too expensive to compute the likelihood exactly. In such settings, a common approach is to replace the likelihood with an approximation, and proceed with…

Statistics Theory · Mathematics 2016-11-23 Helen Ogden

Log-concave distributions are an attractive choice for modeling and inference, for several reasons: The class of log-concave distributions contains most of the commonly used parametric distributions and thus is a rich and flexible…

Methodology · Statistics 2010-10-05 Guenther Walther

In the interpretation of experimental data, one is actually looking for plausible explanations. We look for a measure of plausibility, with which we can compare different possible explanations, and which can be combined when there are…

Artificial Intelligence · Computer Science 2010-12-30 Wan Ahmad Tajuddin Wan Abdullah

Jing (1995) and Liu et al. (2008) studied the two-sample empirical likelihood and showed it is Bartlett correctable for the univariate and multivariate cases, respectively. We expand its domain to the full parameter space and obtain a…

Statistics Theory · Mathematics 2013-08-21 Fan Wu , Min Tsao

Discussion of Overall Objective Priors by James O. Berger, Jose M. Bernardo, Dongchu Sun [arXiv:1504.02689].

Statistics Theory · Mathematics 2015-04-29 Manuel Mendoza , Eduardo Gutiérrez-Peña

Discussion of Overall Objective Priors by James O. Berger, Jose M. Bernardo, Dongchu Sun [arXiv:1504.02689].

Statistics Theory · Mathematics 2015-04-28 Gauri Sankar Datta , Brunero Liseo

Discussion of Overall Objective Priors by James O. Berger, Jose M. Bernardo, Dongchu Sun [arXiv:1504.02689].

Statistics Theory · Mathematics 2015-04-28 Judith Rousseau

Discussion of Overall Objective Priors by James O. Berger, Jose M. Bernardo, Dongchu Sun [arXiv:1504.02689].

Statistics Theory · Mathematics 2015-04-28 Siva Sivaganesan

Unobserved confounding is a major hurdle for causal inference from observational data. Confounders---the variables that affect both the causes and the outcome---induce spurious non-causal correlations between the two. Wang & Blei (2018)…

Machine Learning · Statistics 2019-05-31 Yixin Wang , David M. Blei

Probability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of `circumstance', a term which stands for any piece of knowledge that is useful in assigning a…

Quantum Physics · Physics 2007-05-23 P. G. L. Porta Mana , A. Månsson , G. Björk