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We introduce a novel scheme for choosing the regularization parameter in high-dimensional linear regression with Lasso. This scheme, inspired by Lepski's method for bandwidth selection in non-parametric regression, is equipped with both…

Methodology · Statistics 2016-11-09 Michaël Chichignoud , Johannes Lederer , Martin Wainwright

Extracting relevant features from data sets where the number of observations ($n$) is much smaller then the number of predictors ($p$) is a major challenge in modern statistics. Sorted L-One Penalized Estimation (SLOPE), a generalization of…

Machine Learning · Statistics 2024-05-14 Johan Larsson , Małgorzata Bogdan , Jonas Wallin

The group Lasso is an extension of the Lasso for feature selection on (predefined) non-overlapping groups of features. The non-overlapping group structure limits its applicability in practice. There have been several recent attempts to…

Machine Learning · Computer Science 2010-09-03 Jun Liu , Jieping Ye

Two-dimensional, resonant scanners have been utilized in a large variety of imaging modules due to their compact form, low power consumption, large angular range, and high speed. However, resonant scanners have problems with non-optimal and…

Image and Video Processing · Electrical Eng. & Systems 2023-05-05 Zhanghao Sun , Ronald Quan , Olav Solgaard

Developing controllers for obstacle avoidance between polytopes is a challenging and necessary problem for navigation in tight spaces. Traditional approaches can only formulate the obstacle avoidance problem as an offline optimization…

Systems and Control · Electrical Eng. & Systems 2025-02-10 Akshay Thirugnanam , Jun Zeng , Koushil Sreenath

The presence of undesired background areas associated with potential noise and unknown spectral characteristics degrades the performance of hyperspectral data processing. Masking out unwanted regions is key to addressing this issue.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Elias Arbash , Andréa de Lima Ribeiro , Sam Thiele , Nina Gnann , Behnood Rasti , Margret Fuchs , Pedram Ghamisi , Richard Gloaguen

Recent advances have extended the scope of Bayesian optimization (BO) to expensive-to-evaluate black-box functions with dozens of dimensions, aspiring to unlock impactful applications, for example, in the life sciences, neural architecture…

Machine Learning · Computer Science 2026-05-15 Leonard Papenmeier , Luigi Nardi , Matthias Poloczek

In setting up initial conditions for ensembles of cosmological N-body simulations there are, fundamentally, two choices: either maximizing the correspondence of the initial density field to the assumed fourier-space clustering or, instead,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Chris Orban

Manipulation in confined and cluttered environments remains a significant challenge due to partial observability and complex configuration spaces. Effective manipulation in such environments requires an intelligent exploration strategy to…

Robotics · Computer Science 2026-05-20 Qixuan Li , Chen Le , Dongyue Huang , Jincheng Yu , Xinlei Chen

We present a semi-automated method to search for strong galaxy-galaxy lenses in optical imaging surveys. Our search technique constrains the shape of strongly lensed galaxies (or arcs) in a multi-parameter space, which includes the third…

Astrophysics · Physics 2008-11-07 Jeffrey M. Kubo , Ian P. Dell'Antonio

Conventional algorithms in autonomous exploration face challenges due to their inability to accurately and efficiently identify the spatial distribution of convex regions in the real-time map. These methods often prioritize navigation…

Robotics · Computer Science 2025-03-18 Qiming Wang , Yulong Gao , Yang Wang , Xiongwei Zhao , Yijiao Sun , Xiangyan Kong

Simultaneous Localization and Planning (SLAP) under process and measurement uncertainties is a challenge. It involves solving a stochastic control problem modeled as a Partially Observed Markov Decision Process (POMDP) in a general…

Robotics · Computer Science 2016-08-12 Mohammadhussein Rafieisakhaei , Suman Chakravorty , P. R. Kumar

The Gamma-Ray Large Area Space Telescope (GLAST), scheduled to be launched in fall 2007, is the next generation satellite for high-energy gamma-ray astronomy. The Large Area Telescope (LAT), GLAST main instrument, with a wide field of view…

Astrophysics · Physics 2009-06-23 E. Nuss

Safety is a core challenge of autonomous robot motion planning, especially in the presence of dynamic and uncertain obstacles. Many recent results use learning and deep learning-based motion planners and prediction modules to predict…

Robotics · Computer Science 2023-09-19 Sleiman Safaoui , Tyler H. Summers

Weighted geometric set-cover problems arise naturally in several geometric and non-geometric settings (e.g. the breakthrough of Bansal-Pruhs (FOCS 2010) reduces a wide class of machine scheduling problems to weighted geometric set-cover).…

Computational Geometry · Computer Science 2014-04-08 Nabil H. Mustafa , Rajiv Raman , Saurabh Ray

Estimating the absolute orientation of a local system relative to a global navigation satellite system (GNSS) reference often suffers from local minima and high dependency on satellite availability. Existing methods for this alignment task…

Robotics · Computer Science 2026-05-20 Baoshan Song , Matthew Giamou , Penggao Yan , Chunxi Xia , Li-Ta Hsu

Sure screening technique has been considered as a powerful tool to handle the ultrahigh dimensional variable selection problems, where the dimensionality p and the sample size n can satisfy the NP dimensionality log p=O(n^a) for some a>0…

Statistics Theory · Mathematics 2019-12-04 Xu Han

Recent advancements in model checking have demonstrated significant potential across diverse applications, particularly in signal and image analysis. Medical imaging stands out as a critical domain where model checking can be effectively…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Elhoucine Elfatimi , Lahcen El fatimi

Loop closure detection is an essential and challenging problem in simultaneous localization and mapping (SLAM). It is often tackled with light detection and ranging (LiDAR) sensor due to its view-point and illumination invariant properties.…

Robotics · Computer Science 2020-10-13 Han Wang , Chen Wang , Lihua Xie

This article presents a novel methodology for detecting multiple biomarkers in high-dimensional mediation models by utilizing a modified Least Absolute Shrinkage and Selection Operator (LASSO) alongside Pathway LASSO. This approach…

Methodology · Statistics 2025-04-17 Pei-Shan Yen , Soumya Sahu , Debarghya Nandi , Zhaoliang Zhou , Olusola Ajilore , Dulal Bhaumik