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Bayesian learning using Gaussian processes provides a foundational framework for making decisions in a manner that balances what is known with what could be learned by gathering data. In this dissertation, we develop techniques for…

机器学习 · 统计学 2022-04-29 Alexander Terenin

Transporting causal information across populations is a critical challenge in clinical decision-making. Causal modeling provides criteria for identifiability and transportability, but these require knowledge of the causal graph, which…

机器学习 · 统计学 2026-02-03 Konstantina Lelova , Gregory F. Cooper , Sofia Triantafillou

Reinforcement learning provides a framework for learning to control which actions to take towards completing a task through trial-and-error. In many applications observing interactions is costly, necessitating sample-efficient learning. In…

机器学习 · 统计学 2020-11-04 Charles Gadd , Markus Heinonen , Harri Lähdesmäki , Samuel Kaski

Unsupervised representation learning with variational inference relies heavily on independence assumptions over latent variables. Causal representation learning (CRL), however, argues that factors of variation in a dataset are, in fact,…

机器学习 · 计算机科学 2023-07-13 Avinash Kori , Pedro Sanchez , Konstantinos Vilouras , Ben Glocker , Sotirios A. Tsaftaris

It has been shown both experimentally and theoretically that sparse signal recovery can be significantly improved given that part of the signal's support is known \emph{a priori}. In practice, however, such prior knowledge is usually…

信息论 · 计算机科学 2014-10-21 Jun Fang , Yanning Shen , Fuwei Li , Hongbin Li

Scientific experiments are usually expensive due to complex experimental preparation and processing. Experimental design is therefore involved with the task of finding the optimal experimental input that results in the desirable output by…

机器学习 · 统计学 2020-02-27 Cheng Li , Sunil Gupta , Santu Rana , Vu Nguyen , Antonio Robles-Kelly , Svetha Venkatesh

On time-series data, most causal discovery methods fit a new model whenever they encounter samples from a new underlying causal graph. However, these samples often share relevant information which is lost when following this approach.…

机器学习 · 计算机科学 2022-02-24 Sindy Löwe , David Madras , Richard Zemel , Max Welling

Despite recent progress in reinforcement learning (RL), RL algorithms for exploration still remain an active area of research. Existing methods often focus on state-based metrics, which do not consider the underlying causal structures of…

Bayesian models provide recursive inference naturally because they can formally reconcile new data and existing scientific information. However, popular use of Bayesian methods often avoids priors that are based on exact posterior…

统计方法学 · 统计学 2019-04-29 Mevin B. Hooten , Devin S. Johnson , Brian M. Brost

Gaussian graphical model is one of the powerful tools to analyze conditional independence between two variables for multivariate Gaussian-distributed observations. When the dimension of data is moderate or high, penalized likelihood methods…

统计方法学 · 统计学 2025-01-24 Takahiro Onizuka , Shintaro Hashimoto

Causal discovery can be computationally demanding for large numbers of variables. If we only wish to estimate the causal effects on a small subset of target variables, we might not need to learn the causal graph for all variables, but only…

机器学习 · 统计学 2025-02-13 Mátyás Schubert , Tom Claassen , Sara Magliacane

Posterior sampling is a task of central importance in Bayesian inference. For many applications in Bayesian meta-analysis and Bayesian transfer learning, the prior distribution is unknown and needs to be estimated from samples. In practice,…

统计计算 · 统计学 2024-08-06 Chenyang Zhong , Shouxuan Ji , Tian Zheng

Learning a sequence of tasks without access to i.i.d. observations is a widely studied form of continual learning (CL) that remains challenging. In principle, Bayesian learning directly applies to this setting, since recursive and one-off…

Causal representation learning (CRL) aims at recovering latent causal variables from high-dimensional observations to solve causal downstream tasks, such as predicting the effect of new interventions or more robust classification. A…

机器学习 · 计算机科学 2025-03-06 Dingling Yao , Dario Rancati , Riccardo Cadei , Marco Fumero , Francesco Locatello

Real-life statistical samples are often plagued by selection bias, which complicates drawing conclusions about the general population. When learning causal relationships between the variables is of interest, the sample may be assumed to be…

统计理论 · 数学 2018-11-15 Angelos P. Armen , Robin J. Evans

Robot learning is often difficult due to the expense of gathering data. The need for large amounts of data can, and should, be tackled with effective algorithms and leveraging expert information on robot dynamics. Bayesian reinforcement…

机器人学 · 计算机科学 2023-07-25 Hai Nguyen , Sammie Katt , Yuchen Xiao , Christopher Amato

Bayesian causal discovery aims to infer the posterior distribution over causal models from observed data, quantifying epistemic uncertainty and benefiting downstream tasks. However, computational challenges arise due to joint inference over…

机器学习 · 计算机科学 2023-12-11 Yashas Annadani , Nick Pawlowski , Joel Jennings , Stefan Bauer , Cheng Zhang , Wenbo Gong

Sequential experimental design to discover interventions that achieve a desired outcome is a key problem in various domains including science, engineering and public policy. When the space of possible interventions is large, making an…

机器学习 · 计算机科学 2023-08-17 Jiaqi Zhang , Louis Cammarata , Chandler Squires , Themistoklis P. Sapsis , Caroline Uhler

We consider a prior for nonparametric Bayesian estimation which uses finite random series with a random number of terms. The prior is constructed through distributions on the number of basis functions and the associated coefficients. We…

统计理论 · 数学 2015-02-10 Weining Shen , Subhashis Ghosal

Efficient Reinforcement Learning usually takes advantage of demonstration or good exploration strategy. By applying posterior sampling in model-free RL under the hypothesis of GP, we propose Gaussian Process Posterior Sampling Reinforcement…

机器学习 · 计算机科学 2018-12-12 Ying Fan , Letian Chen , Yizhou Wang