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Prompt isolated leptons are essential in many analyses in high-energy particle physics but are subject to fake-lepton background, i.e. objects that mimic the lepton signature. The fake-lepton background is difficult to estimate from…

High Energy Physics - Phenomenology · Physics 2022-07-25 Johannes Erdmann , Cornelius Grunwald , Kevin Kröninger , Salvatore La Cagnina , Lars Röhrig , Erich Varnes

This work is concern with testing the low-dimensional parameters of interest with divergent dimensional data and variable selection for the rest under the sparse case. A consistent test via the partial penalized likelihood approach, called…

Methodology · Statistics 2014-11-20 Shanshan Wang , Hengjian Cui

Evaluating query predicates on data samples is the only way to estimate their selectivity in certain scenarios. Finding a guaranteed optimal query plan is not a reasonable optimization goal in those cases as it might require an infinite…

Databases · Computer Science 2015-11-06 Immanuel Trummer , Christoph Koch

The ability to generalize quickly from few observations is crucial for intelligent systems. In this paper we introduce APL, an algorithm that approximates probability distributions by remembering the most surprising observations it has…

Machine Learning · Computer Science 2019-02-08 Tiago Ramalho , Marta Garnelo

This paper presents the construction of a particle filter, which incorporates elements inspired by genetic algorithms, in order to achieve accelerated adaptation of the estimated posterior distribution to changes in model parameters.…

Machine Learning · Statistics 2018-06-15 Karol Gellert , Erik Schlögl

Approximate Bayesian inference methods that scale to very large datasets are crucial in leveraging probabilistic models for real-world time series. Sparse Markovian Gaussian processes combine the use of inducing variables with efficient…

Machine Learning · Statistics 2021-06-10 William J. Wilkinson , Arno Solin , Vincent Adam

This paper addresses the task of estimating a covariance matrix under a patternless sparsity assumption. In contrast to existing approaches based on thresholding or shrinkage penalties, we propose a likelihood-based method that regularizes…

Methodology · Statistics 2021-09-13 Jason Xu , Kenneth Lange

We address the problem of data clustering by introducing an unsupervised, parameter free approach based on maximum likelihood principle. Starting from the observation that data sets belonging to the same cluster share a common information,…

Statistical Mechanics · Physics 2009-11-07 Lorenzo Giada , Matteo Marsili

We introduce a novel stochastic version of the non-reversible, rejection-free Bouncy Particle Sampler (BPS), a Markov process whose sample trajectories are piecewise linear. The algorithm is based on simulating first arrival times in a…

Computation · Statistics 2017-06-15 Ari Pakman , Dar Gilboa , David Carlson , Liam Paninski

Stochastic filtering refers to estimating the probability distribution of the latent stochastic process conditioned on the observed measurements in time. In this paper, we introduce a new class of convergent filters that represent the…

Methodology · Statistics 2023-03-27 Zheng Zhao , Juha Sarmavuori

In this paper, we propose an approximating framework for analyzing parametric Markov models. Instead of computing complex rational functions encoding the reachability probability and the reward values of the parametric model, we exploit the…

Logic in Computer Science · Computer Science 2023-11-15 Ying Liu , Andrea Turrini , Moritz Hahn , Bai Xue , Lijun Zhang

Stochastic processes defined on integer valued state spaces are popular within the physical and biological sciences. These models are necessary for capturing the dynamics of small systems where the individual nature of the populations…

Machine Learning · Statistics 2024-04-15 Luke O'Loughlin , John Maclean , Andrew Black

Sequential Monte Carlo methods, also known as particle methods, are a widely used set of computational tools for inference in non-linear non-Gaussian state-space models. In many applications it may be necessary to compute the sensitivity,…

Statistics Theory · Mathematics 2011-06-14 Pierre Del Moral , Arnaud Doucet , Sumeetpal Singh

This paper presents a new approach to conditional inference, based on the simulation of samples conditioned by a statistics of the data. Also an explicit expression for the approximation of the conditional likelihood of long runs of the…

Applications · Statistics 2012-02-07 Michel Broniatowski , Virgile Caron

In this paper, we present a novel approach to approximate the gain function of the feedback particle filter (FPF). The exact gain function is the solution of a Poisson equation involving a probability-weighted Laplacian. The numerical…

Machine Learning · Computer Science 2022-06-07 S. Yagiz Olmez , Amirhossein Taghvaei , Prashant G. Mehta

We review the introduction of likelihood functions and Fisher information in classical estimation theory, and we show how they can be defined in a very similar manner within quantum measurement theory. We show that the stochastic master…

Quantum Physics · Physics 2013-04-03 Søren Gammelmark , Klaus Mølmer

By approximating posterior distributions with weighted samples, particle filters (PFs) provide an efficient mechanism for solving non-linear sequential state estimation problems. While the effectiveness of particle filters has been…

Machine Learning · Computer Science 2023-12-15 Xiongjie Chen , Yunpeng Li

Constructing datasets representative of the target domain is essential for training effective machine learning models. Active learning (AL) is a promising method that iteratively extends training data to enhance model performance while…

Bayesian optimization (BO) has emerged during the last few years as an effective approach to optimizing black-box functions where direct queries of the objective are expensive. In this paper we consider the case where direct access to the…

Machine Learning · Statistics 2017-04-13 Javier Gonzalez , Zhenwen Dai , Andreas Damianou , Neil D. Lawrence

We present a new, analytic, Poisson likelihood derived, technique to account for the statistical uncertainties inherent in simulation samples of limited size. This method has better coverage properties than other techniques, is valid for…

Data Analysis, Statistics and Probability · Physics 2019-07-26 Carlos A. Argüelles , Austin Schneider , Tianlu Yuan