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Partial least squares (PLS) regression combines dimensionality reduction and prediction using a latent variable model. Since partial least squares regression (PLS-R) does not require matrix inversion or diagonalization, it can be applied to…

Methodology · Statistics 2014-08-05 Tzu-Yu Liu , Laura Trinchera , Arthur Tenenhaus , Dennis Wei , Alfred O. Hero

Large-scale generalized linear array models (GLAMs) can be challenging to fit. Computation and storage of its tensor product design matrix can be impossible due to time and memory constraints, and previously considered design matrix free…

Computation · Statistics 2016-09-05 Adam Lund , Martin Vincent , Niels Richard Hansen

In this work we consider numerical efficiency and convergence rates for solvers of non-convex multi-penalty formulations when reconstructing sparse signals from noisy linear measurements. We extend an existing approach, based on reduction…

Information Theory · Computer Science 2021-01-15 Zeljko Kereta , Johannes Maly , Valeriya Naumova

We address the important problem of generalizing robotic rearrangement to clutter without any explicit object models. We first generate over 650K cluttered scenes - orders of magnitude more than prior work - in diverse everyday…

Robotics · Computer Science 2023-04-20 Adithyavairavan Murali , Arsalan Mousavian , Clemens Eppner , Adam Fishman , Dieter Fox

This paper addresses the task of estimating a covariance matrix under a patternless sparsity assumption. In contrast to existing approaches based on thresholding or shrinkage penalties, we propose a likelihood-based method that regularizes…

Methodology · Statistics 2021-09-13 Jason Xu , Kenneth Lange

A generalized linear point process is specified in terms of an intensity that depends upon a linear predictor process through a fixed non-linear function. We present a framework where the linear predictor is parametrized by a Banach space…

Statistics Theory · Mathematics 2013-04-03 Niels Richard Hansen

We study channel number reduction in combination with weight binarization (1-bit weight precision) to trim a convolutional neural network for a keyword spotting (classification) task. We adopt a group-wise splitting method based on the…

Machine Learning · Computer Science 2019-09-13 Jiancheng Lyu , Spencer Sheen

We systematically explore regularizing neural networks by penalizing low entropy output distributions. We show that penalizing low entropy output distributions, which has been shown to improve exploration in reinforcement learning, acts as…

Neural and Evolutionary Computing · Computer Science 2017-01-24 Gabriel Pereyra , George Tucker , Jan Chorowski , Łukasz Kaiser , Geoffrey Hinton

Reduced-rank regression recognises the possibility of a rank-deficient matrix of coefficients. We propose a novel Bayesian model for estimating the rank of the coefficient matrix, which obviates the need for post-processing steps and allows…

Methodology · Statistics 2024-02-14 Maria F. Pintado , Matteo Iacopini , Luca Rossini , Alexander Y. Shestopaloff

In observational causal inference, in order to emulate a randomized experiment, weights are used to render treatments independent of observed covariates. This property is known as balance; in its absence, estimated causal effects may be…

Methodology · Statistics 2020-07-16 David Arbour , Drew Dimmery , Arjun Sondhi

Model averaging methods have become an increasingly popular tool for improving predictions and dealing with model uncertainty, especially in Bayesian settings. Recently, frequentist model averaging methods such as information theoretic and…

Econometrics · Economics 2024-04-18 Kevin Huynh

Selecting appropriate regularization coefficients is critical to performance with respect to regularized empirical risk minimization problems. Existing theoretical approaches attempt to determine the coefficients in order for regularized…

Machine Learning · Computer Science 2019-09-05 Akihiro Yabe , Takanori Maehara

Maximum likelihood estimation (MLE) is a well-known estimation method used in many robotic and computer vision applications. Under Gaussian assumption, the MLE converts to a nonlinear least squares (NLS) problem. Efficient solutions to NLS…

Robotics · Computer Science 2016-08-11 Viorela Ila , Lukas Polok , Marek Solony , Pavel Svoboda

In a survival analysis context we suggest a new method to estimate the piecewise constant hazard rate model. The method provides an automatic procedure to find the number and location of cut points and to estimate the hazard on each cut…

Methodology · Statistics 2016-12-07 O Bouaziz , G Nuel

Neural Networks can perform poorly when the training label distribution is heavily imbalanced, as well as when the testing data differs from the training distribution. In order to deal with shift in the testing label distribution, which…

Machine Learning · Computer Science 2020-10-23 Junjiao Tian , Yen-Cheng Liu , Nathan Glaser , Yen-Chang Hsu , Zsolt Kira

This paper revisits the problem of decomposing a positive semidefinite matrix as a sum of a matrix with a given rank plus a sparse matrix. An immediate application can be found in portfolio optimization, when the matrix to be decomposed is…

Optimization and Control · Mathematics 2021-06-16 Michel Baes , Calypso Herrera , Ariel Neufeld , Pierre Ruyssen

The Generalized Linear Model (GLM) for the Gamma distribution (glmGamma) is widely used in modeling continuous, non-negative and positive-skewed data, such as insurance claims and survival data. However, model selection for GLM depends on…

Methodology · Statistics 2018-04-24 Xin Chen , Aleksandr Y. Aravkin , R. Douglas Martin

Within the statistical and machine learning literature, regularization techniques are often used to construct sparse (predictive) models. Most regularization strategies only work for data where all predictors are treated identically, such…

Computation · Statistics 2020-12-16 Sander Devriendt , Katrien Antonio , Tom Reynkens , Roel Verbelen

We extend the work of Hahn and Carvalho (2015) and develop a doubly-regularized sparse regression estimator by synthesizing Bayesian regularization with penalized least squares within a decision-theoretic framework. In contrast to existing…

Methodology · Statistics 2025-02-04 Aihua Li , Surya T. Tokdar , Jason Xu

We consider general nonlinear programming problems with cardinality constraints. By relaxing the binary variables which appear in the natural mixed-integer programming formulation, we obtain an almost equivalent nonlinear programming…

Optimization and Control · Mathematics 2017-04-03 Martin Branda , Max Bucher , Michal Červinka , Alexandra Schwartz
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