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The naive importance sampling (IS) estimator generally does not work well in examples involving simultaneous inference on several targets, as the importance weights can take arbitrarily large values, making the estimator highly unstable. In…

Methodology · Statistics 2022-04-20 Vivekananda Roy , Evangelos Evangelou

We study properties of confidence intervals (CIs) for the difference of two Bernoulli distributions' success parameters, $p_x - p_y$, in the case where the goal is to obtain a CI of a given half-width while minimizing sampling costs when…

Methodology · Statistics 2023-11-23 Ignacio Erazo , David Goldsman , Yajun Mei

Being able to efficiently obtain an accurate estimate of the failure probability of SRAM components has become a central issue as model circuits shrink their scale to submicrometer with advanced technology nodes. In this work, we revisit…

Machine Learning · Computer Science 2023-08-01 Yanfang Liu , Guohao Dai , Wei W. Xing

Computing averages over a target probability density by statistical re-weighting of a set of samples with a different distribution is a strategy which is commonly adopted in fields as diverse as atomistic simulation and finance. Here we…

Chemical Physics · Physics 2012-02-21 Michele Ceriotti , Guy A. R. Brain , Oliver Riordan , David E. Manolopoulos

In machine learning models, the estimation of errors is often complex due to distribution bias, particularly in spatial data such as those found in environmental studies. We introduce an approach based on the ideas of importance sampling to…

Machine Learning · Computer Science 2023-09-15 Boris Prokhorov , Diana Koldasbayeva , Alexey Zaytsev

Intercurrent events, common in clinical trials and observational studies, affect the existence or interpretation of final outcomes. Principal stratification addresses this challenge by defining local average treatment effect estimands…

Methodology · Statistics 2025-09-22 Jiaqi Tong , Brennan Kahan , Michael O. Harhay , Fan Li

The paradigm for compartment models in epidemiology assumes exponentially distributed incubation and removal times, which is not realistic in actual populations. Commonly used variations with multiple exponentially distributed variables are…

Populations and Evolution · Quantitative Biology 2021-02-10 P. Hernández , C. Pena , A. Ramos , J. J. Gómez-Cadenas

Sequential tests and their implied confidence sequences, which are valid at arbitrary stopping times, promise flexible statistical inference and on-the-fly decision making. However, strong guarantees are limited to parametric sequential…

Methodology · Statistics 2024-03-12 Aurelien Bibaut , Nathan Kallus , Michael Lindon

We propose a general method for distributed Bayesian model choice, using the marginal likelihood, where a data set is split in non-overlapping subsets. These subsets are only accessed locally by individual workers and no data is shared…

Computation · Statistics 2022-10-18 Alexander Buchholz , Daniel Ahfock , Sylvia Richardson

We present a new distribution-free conformal prediction algorithm for sequential data (e.g., time series), called the \textit{sequential predictive conformal inference} (\texttt{SPCI}). We specifically account for the nature that time…

Machine Learning · Statistics 2023-05-31 Chen Xu , Yao Xie

In modern scientific applications, large volumes of covariate data are readily available, while outcome labels are costly, sparse, and often subject to distribution shift. This asymmetry has spurred interest in semi-supervised (SS)…

Statistics Theory · Mathematics 2026-05-12 Lorenzo Testa , Qi Xu , Jing Lei , Kathryn Roeder

We propose a coupled rejection-sampling method for sampling from couplings of arbitrary distributions. The method relies on accepting or rejecting coupled samples coming from dominating marginals. Contrary to existing acceptance-rejection…

Methodology · Statistics 2022-03-11 Adrien Corenflos , Simo Särkkä

We investigate the unsupervised node classification problem on random hypergraphs under the non-uniform Hypergraph Stochastic Block Model (HSBM) with two equal-sized communities. In this model, edges appear independently with probabilities…

Statistics Theory · Mathematics 2025-12-01 Hai-Xiao Wang

Spatial query and analysis results are often directly applied to decision-making processes such as facility location, proximity resource discovery, accessibility analysis, and risk assessment. Therefore, the efficiency of underlying spatial…

Databases · Computer Science 2026-05-14 Zhongpu Chen , Yikai Dong , Wanjun Hao

Compared to the standard success (coverage) probability, the meta distribution of the signal-to-interference ratio (SIR) provides much more fine-grained information about the network performance. We consider general heterogeneous cellular…

Information Theory · Computer Science 2019-02-19 Sanket S. Kalamkar , Martin Haenggi

Consider the following random process: we are given $n$ queues, into which elements of increasing labels are inserted uniformly at random. To remove an element, we pick two queues at random, and remove the element of lower label (higher…

Data Structures and Algorithms · Computer Science 2017-06-14 Dan Alistarh , Justin Kopinsky , Jerry Li , Giorgi Nadiradze

Temporal point processes offer a powerful framework for sampling from discrete distributions, yet they remain underutilized in existing literature. We show how to construct, for any target multivariate count distribution with…

Computation · Statistics 2026-05-19 Cameron A. Stewart , Maneesh Sahani

Estimation using pooled sampling has long been an area of interest in the group testing literature. Such research has focused primarily on the assumed use of fixed sampling plans (i), although some recent papers have suggested alternative…

Statistics Theory · Mathematics 2017-03-27 Gregory Haber , Yaakov Malinovsky , Paul Albert

We give the first polynomial-time algorithm for performing linear or polynomial regression resilient to adversarial corruptions in both examples and labels. Given a sufficiently large (polynomial-size) training set drawn i.i.d. from…

Machine Learning · Computer Science 2020-06-05 Adam Klivans , Pravesh K. Kothari , Raghu Meka

Recent advances in Markov chain Monte Carlo (MCMC) extend the scope of Bayesian inference to models for which the likelihood function is intractable. Although these developments allow us to estimate model parameters, other basic problems…

Computation · Statistics 2019-12-12 Minh-Ngoc Tran , Marcel Scharth , David Gunawan , Robert Kohn , Scott D. Brown , Guy E. Hawkins
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