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Our goal is to recover time-delayed latent causal variables and identify their relations from measured temporal data. Estimating causally-related latent variables from observations is particularly challenging as the latent variables are not…

Machine Learning · Statistics 2022-02-10 Weiran Yao , Yuewen Sun , Alex Ho , Changyin Sun , Kun Zhang

We introduce a Bayesian prior distribution, the Logit-Normal continuous analogue of the spike-and-slab (LN-CASS), which enables flexible parameter estimation and variable/model selection in a variety of settings. We demonstrate its use and…

Applications · Statistics 2018-10-04 William Thomson , Sara Jabbari , Angela Taylor , Wiebke Arlt , David Smith

Real-world deployment of machine learning models is challenging because data evolves over time. While no model can work when data evolves in an arbitrary fashion, if there is some pattern to these changes, we might be able to design methods…

Machine Learning · Computer Science 2024-05-03 Rasool Fakoor , Jonas Mueller , Zachary C. Lipton , Pratik Chaudhari , Alexander J. Smola

In this paper, localized information privacy (LIP) is proposed, as a new privacy definition, which allows statistical aggregation while protecting users' privacy without relying on a trusted third party. The notion of context-awareness is…

Information Theory · Computer Science 2018-08-02 Bo Jiang , Ming Li , Ravi Tandon

Use of historical control data to augment a small internal control arm in a randomized control trial (RCT) can lead to significant improvement of the efficiency of the trial. It introduces the risk of potential bias, since the historical…

Methodology · Statistics 2022-10-05 Jixian Wang , Hongtao Zhang , Ram Tiwari

Power priors are used for incorporating historical data in Bayesian analyses by taking the likelihood of the historical data raised to the power $\alpha$ as the prior distribution for the model parameters. The power parameter $\alpha$ is…

Methodology · Statistics 2023-06-27 Samuel Pawel , Frederik Aust , Leonhard Held , Eric-Jan Wagenmakers

The power prior is a class of informative priors designed to incorporate historical data alongside current data in a Bayesian framework. It includes a power parameter that controls the influence of historical data, providing flexibility and…

Machine Learning · Statistics 2025-05-23 Masanari Kimura , Howard Bondell

We introduce a new measure to evaluate the transferability of representations learned by classifiers. Our measure, the Log Expected Empirical Prediction (LEEP), is simple and easy to compute: when given a classifier trained on a source data…

Machine Learning · Computer Science 2020-08-17 Cuong V. Nguyen , Tal Hassner , Matthias Seeger , Cedric Archambeau

Meta-analytic-predictive (MAP) priors have been proposed as a generic approach to deriving informative prior distributions, where external empirical data are processed to learn about certain parameter distributions. The use of MAP priors is…

Methodology · Statistics 2025-11-11 Christian Röver , Tim Friede

The power prior is a popular class of informative priors for incorporating information from historical data. It involves raising the likelihood for the historical data to a power, which acts as a discounting parameter. When the discounting…

Methodology · Statistics 2025-05-26 Yueqi Shen , Matthew A. Psioda , Luiz M. Carvalho , Joseph G. Ibrahim

We develop the scale transformed power prior for settings where historical and current data involve different data types, such as binary and continuous data, respectively. This situation arises often in clinical trials, for example, when…

Methodology · Statistics 2021-05-12 Brady Nifong , Matthew A. Psioda , Joseph G. Ibrahim

In Bayesian statistics, the choice of prior distribution is often debatable, especially if prior knowledge is limited or data are scarce. In imprecise probability, sets of priors are used to accurately model and reflect prior knowledge.…

Methodology · Statistics 2016-10-25 Gero Walter , Frank P. A. Coolen

Incorporating historical information into the design and analysis of a new clinical trial has been the subject of much recent discussion. For example, in the context of clinical trials of antibiotics for drug resistant infections, where…

Methodology · Statistics 2018-06-08 Isaac Gravestock , Leonhard Held

In current clinical trial development, historical information is receiving more attention as it provides utility beyond sample size calculation. Meta-analytic-predictive (MAP) priors and robust MAP priors have been proposed for…

Methodology · Statistics 2022-08-03 Tianyu Zhan , Yiwang Zhou , Ziqian Geng , Yihua Gu , Jian Kang , Li Wang , Xiaohong Huang , Elizabeth H. Slate

The elicitation of power priors, based on the availability of historical data, is realized by raising the likelihood function of the historical data to a fractional power {\delta}, which quantifies the degree of discounting of the…

Methodology · Statistics 2022-04-13 Keying Ye , Zifei Han , Yuyan Duan , Tianyu Bai

It can be important in Bayesian analyses of complex models to construct informative prior distributions which reflect knowledge external to the data at hand. Nevertheless, how much prior information an analyst can elicit from an expert will…

Applications · Statistics 2017-11-10 Xueou Wang , David J. Nott , C. C. Drovandi , Kerrie Mengersen , Michael Evans

Stories about everyday situations are an essential part of human communication, motivating the need to develop AI agents that can reliably understand these stories. Despite the long list of supervised methods for story completion and…

Computation and Language · Computer Science 2023-11-21 Yifan Jiang , Filip Ilievski , Kaixin Ma

Historical data from previous clinical trials, observational studies and health records may be utilized in analysis of clinical trials data to strengthen inference. Under the Bayesian framework incorporation of information obtained from any…

Applications · Statistics 2021-03-23 Shirin Golchi

In high throughput settings we inspect a great many candidate variables (e.g., genes) searching for associations with a primary variable (e.g., a phenotype). High throughput hypothesis testing can be made difficult by the presence of…

Applications · Statistics 2013-01-14 Yunting Sun , Nancy R. Zhang , Art B. Owen

Early-warning models built from Learning Management System (LMS) logs aim to predict end-of-course outcomes early enough to enable timely learner support. However, reported "early" performance is often inflated by temporal leakage. This…

Artificial Intelligence · Computer Science 2026-05-26 Ngoc Luyen Le , Marie-Hélène Abel , Bertrand Laforge
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