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With the routine collection of massive-dimensional predictors in many application areas, screening methods that rapidly identify a small subset of promising predictors have become commonplace. We propose a new MOdular Bayes Screening (MOBS)…

Methodology · Statistics 2017-03-30 Yuhan Chen , David B. Dunson

Our article deals with Bayesian inference for a general state space model with the simulated likelihood computed by the particle filter. We show empirically that the partially or fully adapted particle filters can be much more efficient…

Methodology · Statistics 2010-06-11 Michael Pitt , Ralph Silva , Paolo Giordani , Robert Kohn

Unmeasured confounding and selection bias are often of concern in observational studies and may invalidate a causal analysis if not appropriately accounted for. Under outcome-dependent sampling, a latent factor that has causal effects on…

Methodology · Statistics 2022-08-03 Kendrick Qijun Li , Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

Non-Gaussian likelihoods are essential for modelling complex real-world observations but pose significant computational challenges in learning and inference. Even with Gaussian priors, non-Gaussian likelihoods often lead to analytically…

Machine Learning · Statistics 2024-10-29 Thang D. Bui

Parametric stochastic simulators are ubiquitous in science, often featuring high-dimensional input parameters and/or an intractable likelihood. Performing Bayesian parameter inference in this context can be challenging. We present a neural…

Machine Learning · Statistics 2021-10-27 Benjamin Kurt Miller , Alex Cole , Patrick Forré , Gilles Louppe , Christoph Weniger

This paper proposes a new Sequential Monte Carlo algorithm to perform online estimation in the context of state space models when either the transition density of the latent state or the conditional likelihood of an observation given a…

Applications · Statistics 2021-05-10 Alice Martin , Marie-Pierre Etienne , Pierre Gloaguen , Sylvain Le Corff , Jimmy Olsson

The softmax representation of probabilities for categorical variables plays a prominent role in modern machine learning with numerous applications in areas such as large scale classification, neural language modeling and recommendation…

Machine Learning · Statistics 2016-11-01 Michalis K. Titsias

Amortized variational inference is an often employed framework in simulation-based inference that produces a posterior approximation that can be rapidly computed given any new observation. Unfortunately, there are few guarantees about the…

Methodology · Statistics 2024-07-26 Yash Patel , Declan McNamara , Jackson Loper , Jeffrey Regier , Ambuj Tewari

Pseudo-marginal Metropolis-Hastings (pmMH) is a powerful method for Bayesian inference in models where the posterior distribution is analytical intractable or computationally costly to evaluate directly. It operates by introducing…

Computation · Statistics 2016-08-06 Johan Dahlin , Fredrik Lindsten , Joel Kronander , Thomas B. Schön

A variety of fundamental astrophysical science topics require the determination of very accurate photometric redshifts (photo-z's). A wide plethora of methods have been developed, based either on template models fitting or on empirical…

Instrumentation and Methods for Astrophysics · Physics 2016-12-13 Stefano Cavuoti , Valeria Amaro , Massimo Brescia , Civita Vellucci , Crescenzo Tortora , Giuseppe Longo

This work introduces a novel framework for precisely and efficiently estimating rare event probabilities in complex, high-dimensional non-Gaussian spaces, building on our foundational Approximate Sampling Target with Post-processing…

Methodology · Statistics 2025-01-09 Elsayed Eshra , Konstantinos G. Papakonstantinou , Hamed Nikbakht

Estimation of finite mixture models when the mixing distribution support is unknown is an important problem. This paper gives a new approach based on a marginal likelihood for the unknown support. Motivated by a Bayesian Dirichlet prior…

Methodology · Statistics 2013-02-11 Ryan Martin

In a Bayesian context, prior specification for inference on monotone densities is conceptually straightforward, but proving posterior convergence theorems is complicated by the fact that desirable prior concentration properties often are…

Statistics Theory · Mathematics 2020-07-28 Ryan Martin

We elaborate on a deconvolution method, used to estimate the empirical distribution of unknown parameters, as suggested recently by Efron (2013). It is applied to estimating the empirical distribution of the 'sampling probabilities' of m…

Statistics Theory · Mathematics 2013-11-20 Eitan Greenshtein , Theodor Itskov

We consider sampling from a Gibbs distribution by evolving a finite number of particles using a particular score estimator rather than Brownian motion. To accelerate the particles, we consider a second-order score-based ODE, similar to…

Machine Learning · Statistics 2026-01-19 Hong Ye Tan , Stanley Osher , Wuchen Li

Minimum Bayes Risk (MBR) decoding has been shown to be a powerful alternative to beam search decoding in a variety of text generation tasks. MBR decoding selects a hypothesis from a pool of hypotheses that has the least expected risk under…

Artificial Intelligence · Computer Science 2024-06-13 Yuu Jinnai , Tetsuro Morimura , Ukyo Honda , Kaito Ariu , Kenshi Abe

Flexible Bayesian models are typically constructed using limits of large parametric models with a multitude of parameters that are often uninterpretable. In this article, we offer a novel alternative by constructing an exponentially tilted…

Methodology · Statistics 2023-03-20 Abhisek Chakraborty , Anirban Bhattacharya , Debdeep Pati

Multiplicative noise models are often used instead of additive noise models in cases in which the noise variance depends on the state. Furthermore, when Poisson distributions with relatively small counts are approximated with normal…

Optimization and Control · Mathematics 2018-06-08 Ruanui Nicholson , Jari P. Kaipio

Sparse parametric models are of great interest in statistical learning and are often analyzed by means of regularized estimators. Pathwise methods allow to efficiently compute the full solution path for penalized estimators, for any…

Machine Learning · Statistics 2024-12-06 Alessandro De Gregorio , Francesco Iafrate

The problem of determining the achievable sensitivity with digitization exhibiting minimal complexity is addressed. In this case, measurements are exclusively available in hard-limited form. Assessing the achievable sensitivity via the…

Information Theory · Computer Science 2021-06-11 Manuel S. Stein
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