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In this paper, we investigate adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper bounds in an…

Machine Learning · Computer Science 2013-12-30 N. Denizcan Vanli , Suleyman S. Kozat

We consider the problem of quantifying the quality of a model selection problem for a graphical model. We discuss this by formulating the problem as a detection problem. Model selection problems usually minimize a distance between the…

Information Theory · Computer Science 2017-10-19 Navid Tafaghodi Khajavi , Anthony Kuh

An important issue in many multivariate regression problems is to eliminate candidate predictors with null predictor vectors. In large-dimensional (LD) setting where the numbers of responses and predictors are large, model selection…

Statistics Theory · Mathematics 2023-04-26 Zhidong Bai , Kwok Pui Choi , Yasunori Fujikoshi , Jiang Hu

We develop tools to do valid post-selective inference for a family of model selection procedures, including choosing a model via cross-validated Lasso. The tools apply universally when the following random vectors are jointly asymptotically…

Methodology · Statistics 2018-02-13 Jelena Markovic , Lucy Xia , Jonathan Taylor

We study the theoretical properties of the fused lasso procedure originally proposed by \cite{tibshirani2005sparsity} in the context of a linear regression model in which the regression coefficient are totally ordered and assumed to be…

Statistics Theory · Mathematics 2023-06-28 Fan Wang , Oscar Hernan Madrid Padilla , Yi Yu , Alessandro Rinaldo

In exciting new work, Bertsimas et al. (2016) showed that the classical best subset selection problem in regression modeling can be formulated as a mixed integer optimization (MIO) problem. Using recent advances in MIO algorithms, they…

Methodology · Statistics 2017-08-01 Trevor Hastie , Robert Tibshirani , Ryan J. Tibshirani

In this work, we propose N EIoU YOLOv9, a lightweight detection framework based on a signal aware bounding box regression loss derived from non monotonic gradient focusing and geometric decoupling principles, referred to as N EIoU (Non…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Dung Ta Nguyen Duc , Thanh Bui Dang , Hoang Le Minh , Tung Nguyen Viet , Huong Nguyen Thanh , Dong Trinh Cong

In this paper, we present a novel neural network using multi scale feature fusion at various scales for accurate and efficient semantic image segmentation. We used ResNet based feature extractor, dilated convolutional layers in downsampling…

Computer Vision and Pattern Recognition · Computer Science 2020-10-02 Abhinav Sagar , RajKumar Soundrapandiyan

Lane marker detection is a crucial component of the autonomous driving and driver assistance systems. Modern deep lane detection methods with row-based lane representation exhibit excellent performance on lane detection benchmarks. Through…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Hiroto Honda , Yusuke Uchida

Complex network reconstruction is a hot topic in many fields. Currently, the most popular data-driven reconstruction framework is based on lasso. However, it is found that, in the presence of noise, lasso loses efficiency for weighted…

Machine Learning · Statistics 2020-03-03 Shuang Xu , Chun-Xia Zhang , Pei Wang , Jiangshe Zhang

Generative auto-bidding has demonstrated strong performance in online advertising, yet it often suffers from data scarcity in small-scale settings with limited advertiser participation. While cross-task data sharing is a natural remedy to…

Machine Learning · Computer Science 2026-02-10 Yiqin Lv , Zhiyu Mou , Miao Xu , Jinghao Chen , Qi Wang , Yixiu Mao , Yun Qu , Rongquan Bai , Chuan Yu , Jian Xu , Bo Zheng , Xiangyang Ji

In this work, we propose a novel layerwise adaptive construction method for neural network architectures. Our approach is based on a goal--oriented dual-weighted residual technique for the optimal control of neural differential equations.…

Optimization and Control · Mathematics 2026-01-13 Michael Hintermüller , Michael Hinze , Denis Korolev

Knowledge about historic landslide event occurrence is important for supporting disaster risk reduction strategies. Building upon findings from 2022 Landslide4Sense Competition, we propose a deep neural network based system for landslide…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Cam Le , Lam Pham , Jasmin Lampert , Matthias Schlögl , Alexander Schindler

We consider ``one-at-a-time'' coordinate-wise descent algorithms for a class of convex optimization problems. An algorithm of this kind has been proposed for the $L_1$-penalized regression (lasso) in the literature, but it seems to have…

Computation · Statistics 2007-12-18 Jerome Friedman , Trevor Hastie , Holger Höfling , Robert Tibshirani

Bayesian fused lasso is one of the sparse Bayesian methods, which shrinks both regression coefficients and their successive differences simultaneously. In this paper, we propose a Bayesian fused lasso modeling via horseshoe prior. By…

Methodology · Statistics 2022-01-21 Yuko Kakikawa , Kaito Shimamura , Shuichi Kawano

Classically, statistical datasets have a larger number of data points than features ($n > p$). The standard model of classical statistics caters for the case where data points are considered conditionally independent given the parameters.…

Machine Learning · Statistics 2022-03-16 Sijia Li , Martín López-García , Neil D. Lawrence , Luisa Cutillo

Optimal experimental design (OED) provides a systematic approach to quantify and maximize the value of experimental data. Under a Bayesian approach, conventional OED maximizes the expected information gain (EIG) on model parameters.…

Computation · Statistics 2026-04-08 Shijie Zhong , Wanggang Shen , Tommie Catanach , Xun Huan

Real-world data (RWD) gains growing interests to provide a representative sample of the population for selecting the optimal treatment options. However, existing complex black box methods for estimating individualized treatment rules (ITR)…

Methodology · Statistics 2026-01-12 Yunshu Zhang , Shu Yang , Wendy Ye , Ilya Lipkovich , Douglas E. Faries

We perform a comprehensive analysis of complete fusion cross section data with the aim to derive, in a completely data-driven way, a model suitable to predict the integrated cross section of the fusion between light to medium mass nuclei at…

Nuclear Experiment · Physics 2022-12-07 Daniele Dell'Aquila , Brunilde Gnoffo , Ivano Lombardo , Francesco Porto , Marco Russo

In statistics, the least absolute shrinkage and selection operator (Lasso) is a regression method that performs both variable selection and regularization. There is a lot of literature available, discussing the statistical properties of the…

Computation · Statistics 2023-03-08 Yujie Zhao , Xiaoming Huo