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We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

Methodology · Statistics 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

In this paper, we propose a triple (or double-debiased) Lasso estimator for inference on a low-dimensional parameter in high-dimensional linear regression models. The estimator is based on a moment function that satisfies not only first-…

Econometrics · Economics 2026-03-23 Denis Chetverikov , Jesper R. -V. Sørensen , Aleh Tsyvinski

Neurodegenerative disorders such as Alzheimer's disease (AD) present a significant global health challenge, characterized by cognitive decline, functional impairment, and other debilitating effects. Current AD clinical trials often assess…

Methodology · Statistics 2025-02-07 Xiaoming Xu , Dhrubajyoti Ghosh , Sheng Luo

Lasso and other regularization procedures are attractive methods for variable selection, subject to a proper choice of shrinkage parameter. Given a set of potential subsets produced by a regularization algorithm, a consistent model…

Methodology · Statistics 2014-02-26 Minh-Ngoc Tran

We present the group fused Lasso for detection of multiple change-points shared by a set of co-occurring one-dimensional signals. Change-points are detected by approximating the original signals with a constraint on the multidimensional…

Quantitative Methods · Quantitative Biology 2011-06-23 Kevin Bleakley , Jean-Philippe Vert

In high dimensional settings, sparse structures are crucial for efficiency, both in term of memory, computation and performance. It is customary to consider $\ell_1$ penalty to enforce sparsity in such scenarios. Sparsity enforcing methods,…

Machine Learning · Statistics 2017-11-22 Eugene Ndiaye , Olivier Fercoq , Alexandre Gramfort , Vincent Leclère , Joseph Salmon

Despite progress in deep learning for Alzheimer's disease (AD) diagnostics, models trained on structural magnetic resonance imaging (sMRI) often do not perform well when applied to new cohorts due to domain shifts from varying scanners,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Zobia Batool , Diala Lteif , Vijaya B. Kolachalama , Huseyin Ozkan , Erchan Aptoula

This article describes a full Bayesian treatment for simultaneous fixed-effect selection and parameter estimation in high-dimensional generalized linear mixed models. The approach consists of using a Bayesian adaptive Lasso penalty for…

Methodology · Statistics 2016-08-31 Dao Thanh Tung , Minh-Ngoc Tran , Tran Manh Cuong

We study regression discontinuity designs in which many predetermined covariates, possibly much more than the number of observations, can be used to increase the precision of treatment effect estimates. We consider a two-step estimator…

Econometrics · Economics 2022-05-06 Alexander Kreiß , Christoph Rothe

Disease progression modeling (DPM) using longitudinal data is a challenging machine learning task. Existing DPM algorithms neglect temporal dependencies among measurements, make parametric assumptions about biomarker trajectories, do not…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Mostafa Mehdipour Ghazi , Mads Nielsen , Akshay Pai , M. Jorge Cardoso , Marc Modat , Sebastien Ourselin , Lauge Sørensen

This paper proposes a novel method for learning highly nonlinear, multivariate functions from examples. Our method takes advantage of the property that continuous functions can be approximated by polynomials, which in turn are representable…

Machine Learning · Computer Science 2020-05-05 Sandor Szedmak , Anna Cichonska , Heli Julkunen , Tapio Pahikkala , Juho Rousu

A novel framework is proposed for handling the complex task of modelling and analysis of longitudinal, multivariate, heterogeneous clinical data. This method uses temporal abstraction to convert the data into a more appropriate form for…

Machine Learning · Computer Science 2025-05-09 Annette Spooner , Gelareh Mohammadi , Perminder S. Sachdev , Henry Brodaty , Arcot Sowmya

The graphical Lasso (GLASSO) is a widely used algorithm for learning high-dimensional undirected Gaussian graphical models (GGM). Given i.i.d. observations from a multivariate normal distribution, GLASSO estimates the precision matrix by…

Methodology · Statistics 2026-01-15 Ha Nguyen , Sumanta Basu

Alzheimer's disease is one of the most common types of neurodegenerative disease, characterized by the accumulation of amyloid-beta plaque and tau tangles. Recently, deep learning approaches have shown promise in Alzheimer's disease…

Image and Video Processing · Electrical Eng. & Systems 2024-07-03 Gia Minh Hoang , Youngjoo Lee , Jae Gwan Kim

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

Methodology · Statistics 2016-01-15 Florencia Leonardi , Peter Bühlmann

We consider the consistency properties of a regularised estimator for the simultaneous identification of both changepoints and graphical dependency structure in multivariate time-series. Traditionally, estimation of Gaussian Graphical…

Statistics Theory · Mathematics 2017-12-18 Alex J. Gibberd , Sandipan Roy

Healthcare datasets present many challenges to both machine learning and statistics as their data are typically heterogeneous, censored, high-dimensional and have missing information. Feature selection is often used to identify the…

Machine Learning · Computer Science 2022-07-06 Annette Spooner , Gelareh Mohammadi , Perminder S. Sachdev , Henry Brodaty , Arcot Sowmya

Alzheimer's disease and Frontotemporal dementia are common forms of neurodegenerative dementia. Behavioral alterations and cognitive impairments are found in the clinical courses of both diseases and their differential diagnosis is…

Image and Video Processing · Electrical Eng. & Systems 2023-09-12 Huy-Dung Nguyen , Michaël Clément , Vincent Planche , Boris Mansencal , Pierrick Coupé

Many statistical $M$-estimators are based on convex optimization problems formed by the combination of a data-dependent loss function with a norm-based regularizer. We analyze the convergence rates of projected gradient and composite…

Machine Learning · Statistics 2012-07-26 Alekh Agarwal , Sahand N. Negahban , Martin J. Wainwright

We consider the problem of simultaneous variable selection and estimation of the corresponding regression coefficients in an ultra-high dimensional linear regression models, an extremely important problem in the recent era. The adaptive…

Methodology · Statistics 2023-09-22 Abhik Ghosh , Maria Jaenada , Leandro Pardo
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