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Meta-analytical models are typically formulated as a mixed-effects model where the sampling variances of the effect sizes are treated as known. In principle, such models could be fitted with standard mixed-modelling software such as the…

Databases in domains such as healthcare are routinely released to the public in aggregated form. Unfortunately, naive modeling with aggregated data may significantly diminish the accuracy of inferences at the individual level. This paper…

机器学习 · 统计学 2016-05-17 Avradeep Bhowmik , Joydeep Ghosh , Oluwasanmi Koyejo

In this paper we study the problem of statistical inference on the parameters of the semiparametric variance-mean mixtures. This class of mixtures has recently become rather popular in statistical and financial modelling. We design a…

其他统计学 · 统计学 2017-05-23 Denis Belomestny , Vladimir Panov

Statistical inference on the explained variation of an outcome by a set of covariates is of particular interest in practice. When the covariates are of moderate to high-dimension and the effects are not sparse, several approaches have been…

统计方法学 · 统计学 2022-01-24 Hua Yun Chen

An overarching goal in machine learning is to build a generalizable model with few samples. To this end, overparameterization has been the subject of immense interest to explain the generalization ability of deep nets even when the size of…

机器学习 · 计算机科学 2022-01-19 Yue Sun , Adhyyan Narang , Halil Ibrahim Gulluk , Samet Oymak , Maryam Fazel

The inferential model (IM) framework provides valid prior-free probabilistic inference by focusing on predicting unobserved auxiliary variables. But, efficient IM-based inference can be challenging when the auxiliary variable is of higher…

统计理论 · 数学 2015-01-20 Ryan Martin , Chuanhai Liu

Neuroscience has recently made much progress, expanding the complexity of both neural-activity measurements and brain-computational models. However, we lack robust methods for connecting theory and experiment by evaluating our new big…

定量方法 · 定量生物学 2023-07-06 Heiko H. Schütt , Alexander D. Kipnis , Jörn Diedrichsen , Nikolaus Kriegeskorte

An important aspect of Bayesian model selection is how to deal with huge model spaces, since exhaustive enumeration of all the models entertained is unfeasible and inferences have to be based on the very small proportion of models visited.…

统计方法学 · 统计学 2011-01-25 Gonzalo Garcia-Donato , Miguel Angel Martinez-Beneito

With the growth in experimental studies in education, policymakers and practitioners are interested in understanding not only what works, but for whom an intervention works. This interest in the generalizability of a study's findings has…

统计方法学 · 统计学 2022-05-02 Wendy Chan , Jimin Oh , Katherine J. Wilson

An aggregate data meta-analysis is a statistical method that pools the summary statistics of several selected studies to estimate the outcome of interest. When considering a continuous outcome, typically each study must report the same…

统计方法学 · 统计学 2022-06-22 Sean McGrath , XiaoFei Zhao , Zhi Zhen Qin , Russell Steele , Andrea Benedetti

Motivated by big data and the vast parameter spaces in modern machine learning models, optimisation approaches to Bayesian inference have seen a surge in popularity in recent years. In this paper, we address the connection between the…

统计方法学 · 统计学 2024-10-18 Lachlan Astfalck , Cassandra Bird , Daniel Williamson

In many causal inference applications, only one or a few units (or clusters of units) are treated. An important challenge in such settings is that standard inference methods relying on asymptotic theory may be unreliable, even with large…

计量经济学 · 经济学 2026-05-22 Luis Alvarez , Bruno Ferman , Kaspar Wüthrich

In this paper we introduce randomized $t$-type statistics that will be referred to as randomized pivots. We show that these randomized pivots yield central limit theorems with a significantly smaller magnitude of error as compared to that…

统计方法学 · 统计学 2014-04-24 Miklos Csorgo , Masoud M Nasari

Standard penalized methods of variable selection and parameter estimation rely on the magnitude of coefficient estimates to decide which variables to include in the final model. However, coefficient estimates are unreliable when the design…

统计方法学 · 统计学 2018-02-13 Jonathan P Williams , Jan Hannig

Inference for the parameters indexing generalised linear models is routinely based on the assumption that the model is correct and a priori specified. This is unsatisfactory because the chosen model is usually the result of a data-adaptive…

统计方法学 · 统计学 2020-06-16 Stijn Vansteelandt , Oliver Dukes

We derive a novel information-theoretic analysis of the generalization property of meta-learning algorithms. Concretely, our analysis proposes a generic understanding of both the conventional learning-to-learn framework and the modern…

机器学习 · 计算机科学 2021-12-13 Qi Chen , Changjian Shui , Mario Marchand

We develop an automated variational method for inference in models with Gaussian process (GP) priors and general likelihoods. The method supports multiple outputs and multiple latent functions and does not require detailed knowledge of the…

机器学习 · 统计学 2018-11-06 Edwin V. Bonilla , Karl Krauth , Amir Dezfouli

We introduce a Bayesian framework for inference with a supervised version of the Gaussian process latent variable model. The framework overcomes the high correlations between latent variables and hyperparameters by using an unbiased pseudo…

机器学习 · 统计学 2018-03-29 Charles Gadd , Sara Wade , Akeel Shah , Dimitris Grammatopoulos

In today's modern era of Big data, computationally efficient and scalable methods are needed to support timely insights and informed decision making. One such method is sub-sampling, where a subset of the Big data is analysed and used as…

统计方法学 · 统计学 2022-09-07 Amalan Mahendran , Helen Thompson , James M. McGree

Recently, there has been considerable progress on designing algorithms with provable guarantees -- typically using linear algebraic methods -- for parameter learning in latent variable models. But designing provable algorithms for inference…

机器学习 · 计算机科学 2016-05-30 Sanjeev Arora , Rong Ge , Frederic Koehler , Tengyu Ma , Ankur Moitra