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This paper is concerned with high-dimensional panel data models where the number of regressors can be much larger than the sample size. Under the assumption that the true parameter vector is sparse we propose a panel-Lasso estimator and…

Statistics Theory · Mathematics 2014-02-14 Anders Bredahl Kock

We investigate a class of methods for selective inference that condition on a selection event. Such methods follow a two-stage process. First, a data-driven (sub)collection of hypotheses is chosen from some large universe of hypotheses.…

Methodology · Statistics 2024-04-09 Jelle Goeman , Aldo Solari

Artificial intelligence (AI) and machine learning (ML) are increasingly used to generate data for downstream analyses, yet naively treating these predictions as true observations can lead to biased results and incorrect inference. Wang et…

In the problem of composite hypothesis testing, identifying the potential uniformly most powerful (UMP) unbiased test is of great interest. Beyond typical hypothesis settings with exponential family, it is usually challenging to prove the…

Methodology · Statistics 2022-08-03 Tianyu Zhan , Jian Kang

We study the properties of the Minimum Description Length principle for sequence prediction, considering a two-part MDL estimator which is chosen from a countable class of models. This applies in particular to the important case of…

Machine Learning · Computer Science 2011-11-09 Jan Poland , Marcus Hutter

We develop a general approach to valid inference after model selection. At the core of our framework is a result that characterizes the distribution of a post-selection estimator conditioned on the selection event. We specialize the…

Statistics Theory · Mathematics 2016-05-04 Jason D. Lee , Dennis L. Sun , Yuekai Sun , Jonathan E. Taylor

Recent years have witnessed significant progress in the development of machine learning models across a wide range of fields, fueled by increased computational resources, large-scale datasets, and the rise of deep learning architectures.…

Advances in deep learning systems have allowed large models to match or surpass human accuracy on a number of skills such as image classification, basic programming, and standardized test taking. As the performance of the most capable…

Machine Learning · Computer Science 2024-06-10 Sarah Pratt , Seth Blumberg , Pietro Kreitlon Carolino , Meredith Ringel Morris

While statistics focusses on hypothesis testing and on estimating (properties of) the true sampling distribution, in machine learning the performance of learning algorithms on future data is the primary issue. In this paper we bridge the…

Machine Learning · Computer Science 2009-12-30 Marcus Hutter

Many methods have been developed to estimate the set of relevant variables in a sparse linear model Y= XB+e where the dimension p of B can be much higher than the length n of Y. Here we propose two new methods based on multiple hypotheses…

Statistics Theory · Mathematics 2012-06-12 Florian Rohart

Scale-free networks play a fundamental role in the study of complex networks and various applied fields due to their ability to model a wide range of real-world systems. A key characteristic of these networks is their degree distribution,…

Physics and Society · Physics 2025-01-14 Nixon Jerez-Lillo , Francisco A. Rodrigues , Paulo H. Ferreira , Pedro L. Ramos

Scientists often use observational time series data to study complex natural processes, but regression analyses often assume simplistic dynamics. Recent advances in deep learning have yielded startling improvements to the performance of…

Machine Learning · Computer Science 2023-04-21 Cory Shain , William Schuler

Meta learning is a promising technique for solving few-shot fault prediction problems, which have attracted the attention of many researchers in recent years. Existing meta-learning methods for time series prediction, which predominantly…

Machine Learning · Computer Science 2023-11-07 Hai Su , Jiajun Hu , Songsen Yu

Training deep learning neural networks often requires massive amounts of computational ressources. We propose to sequentially monitor network predictions to trigger retraining only if the predictions are no longer valid. This can reduce…

Statistics Theory · Mathematics 2026-01-30 Ansgar Steland

The parameters of a machine learning model are typically learned by minimizing a loss function on a set of training data. However, this can come with the risk of overtraining; in order for the model to generalize well, it is of great…

Machine Learning · Statistics 2024-05-13 Neil Dey , Jonathan P. Williams

Conformal inference is a fundamental and versatile tool that provides distribution-free guarantees for many machine learning tasks. We consider the transductive setting, where decisions are made on a test sample of $m$ new points, giving…

Methodology · Statistics 2024-03-20 Ulysse Gazin , Gilles Blanchard , Etienne Roquain

Time Series Classification and Extrinsic Regression are important and challenging machine learning tasks. Deep learning has revolutionized natural language processing and computer vision and holds great promise in other fields such as time…

Machine Learning · Computer Science 2023-12-21 Navid Mohammadi Foumani , Lynn Miller , Chang Wei Tan , Geoffrey I. Webb , Germain Forestier , Mahsa Salehi

We outline how modern likelihood theory, which provides essentially exact inferences in a variety of parametric statistical problems, may routinely be applied in practice. Although the likelihood procedures are based on analytical…

Methodology · Statistics 2009-06-23 Alessandra R. Brazzale , Anthony C. Davison

We propose and implement an approach to inference in linear instrumental variables models which is simultaneously robust and computationally tractable. Inference is based on self-normalization of sample moment conditions, and allows for…

Econometrics · Economics 2022-11-29 Eric Gautier , Christiern Rose

Several new methods have been proposed for performing valid inference after model selection. An older method is sampling splitting: use part of the data for model selection and part for inference. In this paper we revisit sample splitting…

Statistics Theory · Mathematics 2018-04-04 Alessandro Rinaldo , Larry Wasserman , Max G'Sell , Jing Lei