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Machine learning theory has mostly focused on generalization to samples from the same distribution as the training data. Whereas a better understanding of generalization beyond the training distribution where the observed distribution…

Machine Learning · Statistics 2019-05-29 Matias Vera , Pablo Piantanida , Leonardo Rey Vega

In this paper, we are concerned with estimating the joint probability of random variables $X$ and $Y$, given $N$ independent observation blocks $(\boldsymbol{x}^i,\boldsymbol{y}^i)$, $i=1,\ldots,N$, each of $M$ samples…

Machine Learning · Statistics 2024-02-14 Florian Beier , Hancheng Bi , Clément Sarrazin , Bernhard Schmitzer , Gabriele Steidl

Positivity violations, which occur when some subgroups either always or never receive a treatment of interest, pose significant challenges for causal effect estimation with observational data. Recent balancing weight methods have proved to…

Methodology · Statistics 2025-12-17 Martha Barnard , Jared D. Huling , Julian Wolfson

When extending inferences from a randomized trial to a new target population, the transportability condition for conditional difference effect measures is invoked to identify the marginal causal mean difference in the target population.…

Methodology · Statistics 2024-07-18 Guanbo Wang , Alexander Levis , Jon Steingrimsson , Issa Dahabreh

We study nonasymptotic (finite-sample) confidence intervals for treatment effects in randomized experiments. In the existing literature, the effective sample sizes of nonasymptotic confidence intervals tend to be looser than the…

Randomized experiments often need to be stopped prematurely due to the treatment having an unintended harmful effect. Existing methods that determine when to stop an experiment early are typically applied to the data in aggregate and do not…

Methodology · Statistics 2023-10-31 Hammaad Adam , Fan Yin , Huibin , Hu , Neil Tenenholtz , Lorin Crawford , Lester Mackey , Allison Koenecke

Combining an internal individual-level study with readily available external summary statistics promises major efficiency gains at minimal additional cost, yet heterogeneity between sources can bias estimates for the internal target…

Methodology · Statistics 2026-01-29 Kosuke Morikawa , Sho Komukai , Satoshi Hattori

During drug development, evidence can emerge to suggest a treatment is more effective in a specific patient subgroup. Whilst early trials may be conducted in biomarker-mixed populations, later trials are more likely to enrol…

Methodology · Statistics 2023-06-07 Lorna Wheaton , Dan Jackson , Sylwia Bujkiewicz

Understanding information processing in the brain requires the ability to determine the functional connectivity between the different regions of the brain. We present a method using transfer entropy to extract this flow of information…

Neurons and Cognition · Quantitative Biology 2019-03-06 Benjamin Walker , Katherine Newhall

We study which outcomes are implementable by disclosing coarse statistics of a data-generating process rather than its full distribution. Players observe data whose joint distribution is only partially known: they know the expectations of…

Theoretical Economics · Economics 2026-05-11 Francesco Giordano

The efficacy of an intervention can be assessed by randomizing patients to different diagnostic tests instead of directly to an intervention and control. This principle is applied by allocating individuals to intervention if the test result…

Applications · Statistics 2022-01-11 Huw Llewelyn

We present a bipartite network model that captures intermediate stages of optimization by blending the Maximum Entropy approach with Optimal Transport. In this framework, the network's constraints define the total mass each node can supply…

Statistical Mechanics · Physics 2026-02-05 Lorenzo Buffa , Dario Mazzilli , Riccardo Piombo , Fabio Saracco , Giulio Cimini , Aurelio Patelli

We consider the problem of estimating the average treatment effect (ATE) in a semi-supervised learning setting, where a very small proportion of the entire set of observations are labeled with the true outcome but features predictive of the…

Methodology · Statistics 2020-10-27 David Cheng , Ashwin Ananthakrishnan , Tianxi Cai

Transported mediation effects may contribute to understanding how and why interventions may work differently when applied to new populations. However, we are not aware of any estimators for such effects. Thus, we propose several different…

Methodology · Statistics 2020-06-16 Kara E Rudolph , Jonathan Levy , Mark J van der Laan

Testing the equivalence of multiple quantiles between two populations is important in many scientific applications, such as clinical trials, where conventional mean-based methods may be inadequate. This is particularly relevant in bridging…

Methodology · Statistics 2025-10-21 Jun Wu , Stéphane Guerrier , Si Gou , Yogeshvar N. Kalia , Luca Insolia

We characterize different cell states, related to cancer and ageing phenotypes, by a measure of entropy of network ensembles, integrating gene expression values and protein interaction networks. The entropy measure estimates the parameter…

Molecular Networks · Quantitative Biology 2013-05-24 G. Menichetti , G. Bianconi , E. Giampieri , G. Castellani , D. Remondini

A new combinatorial-probabilistic diagnostic entropy has been introduced. It describes the pair-wise sum of probabilities of system conditions that have to be distinguished during the diagnosing process. The proposed measure describes the…

Information Theory · Computer Science 2009-09-29 Henryk Borowczyk

Epidemic control is of great importance for human society. Adjusting interacting partners is an effective individualized control strategy. Intuitively, it is done either by shortening the interaction time between susceptible and infected…

Populations and Evolution · Quantitative Biology 2016-12-28 Bin Wu , Shanjun Mao , Jiazeng Wang , Da Zhou

Randomized trials are widely considered as the gold standard for evaluating the effects of decision policies. Trial data is, however, drawn from a population which may differ from the intended target population and this raises a problem of…

Methodology · Statistics 2024-10-30 Sofia Ek , Dave Zachariah

We explore a supervised machine learning approach to estimate the entanglement entropy of multi-qubit systems from few experimental samples. We put a particular focus on estimating both aleatoric and epistemic uncertainty of the network's…

Quantum Physics · Physics 2024-01-04 Maximilian Rieger , Moritz Reh , Martin Gärttner