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We propose a novel Bayesian inference framework for distributed differentially private linear regression. We consider a distributed setting where multiple parties hold parts of the data and share certain summary statistics of their portions…

机器学习 · 统计学 2023-06-08 Barış Alparslan , Sinan Yıldırım , Ş. İlker Birbil

We study the problem of multiple hypothesis testing for multidimensional data when inter-correlations are present. The problem of multiple comparisons is common in many applications. When the data is multivariate and correlated, existing…

统计理论 · 数学 2015-06-02 Mahdis Azadbakhsh , Xin Gao , Hanna Jankowski

It has become increasingly common to collect high-dimensional binary response data; for example, with the emergence of new sampling techniques in ecology. In smaller dimensions, multivariate probit (MVP) models are routinely used for…

统计方法学 · 统计学 2022-10-26 Antik Chakraborty , Rihui Ou , David B. Dunson

Prominent features of simulated moving bed (SMB) chromatography processes in the downstream processing is based on the determination of operating conditions. However, effects of different types of uncertainties have to be studied and…

计算工程、金融与科学 · 计算机科学 2021-07-16 Qiao-Le He , Liming Zhao

Predictive models for binary data are fundamental in various fields, and the growing complexity of modern applications has motivated several flexible specifications for modeling the relationship between the observed predictors and the…

统计计算 · 统计学 2022-01-31 Jian Cao , Daniele Durante , Marc G. Genton

In recent years, theoretical results and simulation evidence have shown Bayesian additive regression trees to be a highly-effective method for nonparametric regression. Motivated by cost-effectiveness analyses in health economics, where…

Markov chain Monte Carlo (MCMC) is the predominant tool used in Bayesian parameter estimation for hierarchical models. When the model expands due to an increasing number of hierarchical levels, number of groups at a particular level, or…

统计计算 · 统计学 2016-06-22 Will Landau , Jarad Niemi

The rapid development of computing power and efficient Markov Chain Monte Carlo (MCMC) simulation algorithms have revolutionized Bayesian statistics, making it a highly practical inference method in applied work. However, MCMC algorithms…

统计方法学 · 统计学 2018-09-21 Matias Quiroz , Mattias Villani , Robert Kohn , Minh-Ngoc Tran , Khue-Dung Dang

Objective: To enable privacy-preserving learning of high quality generative and discriminative machine learning models from distributed electronic health records. Methods and Results: We describe general and scalable strategy to build…

密码学与安全 · 计算机科学 2018-06-19 Marina Blanton , Ah Reum Kang , Subhadeep Karan , Jaroslaw Zola

Circular data are data measured in angles and occur in a variety of scientific disciplines. Bayesian methods promise to allow for flexible analysis of circular data. Three existing MCMC methods (Gibbs, Metropolis-Hastings, and Rejection)…

统计计算 · 统计学 2015-05-12 Kees Tim Mulder , Irene Klugkist

Bayesian inference with Markov Chain Monte Carlo (MCMC) is challenging when the likelihood function is irregular and expensive to compute. We explore several sampling algorithms that make use of subset evaluations to reduce computational…

机器学习 · 统计学 2025-05-16 Conor Rosato , Harvinder Lehal , Simon Maskell , Lee Devlin , Malcolm Strens

Prediction of the future trajectory of a disease is an important challenge for personalized medicine and population health management. However, many complex chronic diseases exhibit large degrees of heterogeneity, and furthermore there is…

机器学习 · 统计学 2016-08-17 Joseph Futoma , Mark Sendak , C. Blake Cameron , Katherine Heller

Inference on the minimum clinically important difference, or MCID, is an important practical problem in medicine. The basic idea is that a treatment being statistically significant may not lead to an improvement in the patients' well-being.…

统计方法学 · 统计学 2022-08-29 Pei-Shien Wu , Ryan Martin

Analysis of multivariate healthcare time series data is inherently challenging: irregular sampling, noisy and missing values, and heterogeneous patient groups with different dynamics violating exchangeability. In addition, interpretability…

机器学习 · 计算机科学 2023-11-15 Onur Poyraz , Pekka Marttinen

Performing Bayesian inference via Markov chain Monte Carlo (MCMC) can be exceedingly expensive when posterior evaluations invoke the evaluation of a computationally expensive model, such as a system of partial differential equations. In…

统计计算 · 统计学 2017-12-27 Patrick Conrad , Andrew Davis , Youssef Marzouk , Natesh Pillai , Aaron Smith

In clinical trials, mixed effects models for repeated measures (MMRM) and pattern mixture models (PMM) are often used to analyze longitudinal continuous outcomes. We describe a simple missing data imputation algorithm for the MMRM that can…

统计方法学 · 统计学 2016-10-13 Yongqiang Tang

The Markov Chain Monte Carlo (MCMC) algorithm is a widely recognised as an efficient method for sampling a specified posterior distribution. However, when the posterior is multi-modal, conventional MCMC algorithms either tend to become…

天体物理仪器与方法 · 物理学 2014-08-19 Yi-Ming Hu , Martin Hendry , Ik Siong Heng

Models with intractable normalizing functions arise frequently in statistics. Common examples of such models include exponential random graph models for social networks and Markov point processes for ecology and disease modeling. Inference…

统计计算 · 统计学 2018-08-03 Jaewoo Park , Murali Haran

We propose a divide-and-conquer approach to filtering which decomposes the state variable into low-dimensional components to which standard particle filtering tools can be successfully applied and recursively merges them to recover the full…

统计方法学 · 统计学 2022-11-28 Francesca R. Crucinio , Adam M. Johansen

The integration of artificial intelligence into clinical workflows requires reliable and robust models. Repeatability is a key attribute of model robustness. Repeatable models output predictions with low variation during independent tests…