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Sparse linear regression -- finding an unknown vector from linear measurements -- is now known to be possible with fewer samples than variables, via methods like the LASSO. We consider the multiple sparse linear regression problem, where…

机器学习 · 计算机科学 2012-02-28 Ali Jalali , Pradeep Ravikumar , Sujay Sanghavi

Sparse training is often adopted in cross-device federated learning (FL) environments where constrained devices collaboratively train a machine learning model on private data by exchanging pseudo-gradients across heterogeneous networks.…

机器学习 · 计算机科学 2025-04-08 Adriano Guastella , Lorenzo Sani , Alex Iacob , Alessio Mora , Paolo Bellavista , Nicholas D. Lane

Given a redundant dictionary $\Phi$, represented by an $M \times N$ matrix ($\Phi \in \mathbb{R}^{M \times N}$) and a target signal $y \in \mathbb{R}^M$, the \emph{sparse approximation problem} asks to find an approximate representation of…

计算复杂性 · 计算机科学 2011-11-29 Ali Civril

The model interpretation is essential in many application scenarios and to build a classification model with a ease of model interpretation may provide useful information for further studies and improvement. It is common to encounter with a…

机器学习 · 统计学 2019-01-07 Wan-Ping Nicole Chen , Yuan-chin Ivan Chang

We are motivated by problems that arise in a number of applications such as Online Marketing and explosives detection, where the observations are usually modeled using Poisson statistics. We model each observation as a Poisson random…

统计理论 · 数学 2016-11-17 D. Motamedvaziri , M. H. Rohban , V. Saligrama

In this manuscript a unified framework for conducting inference on complex aggregated data in high dimensional settings is proposed. The data are assumed to be a collection of multiple non-Gaussian realizations with underlying undirected…

应用统计 · 统计学 2013-10-14 Fang Han , Han Liu , Brian Caffo

It is now well established that sparse signal models are well suited to restoration tasks and can effectively be learned from audio, image, and video data. Recent research has been aimed at learning discriminative sparse models instead of…

计算机视觉与模式识别 · 计算机科学 2009-09-29 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro , Andrew Zisserman

Tensors are becoming prevalent in modern applications such as medical imaging and digital marketing. In this paper, we propose a sparse tensor additive regression (STAR) that models a scalar response as a flexible nonparametric function of…

机器学习 · 统计学 2021-03-08 Botao Hao , Boxiang Wang , Pengyuan Wang , Jingfei Zhang , Jian Yang , Will Wei Sun

Traditional nonparametric estimation methods often lead to a slow convergence rate in large dimensions and require unrealistically enormous sizes of datasets for reliable conclusions. We develop an approach based on partial derivatives,…

统计方法学 · 统计学 2024-08-20 Xiaowu Dai

Interpretable machine learning has demonstrated impressive performance while preserving explainability. In particular, neural additive models (NAM) offer the interpretability to the black-box deep learning and achieve state-of-the-art…

机器学习 · 统计学 2022-02-28 Shiyun Xu , Zhiqi Bu , Pratik Chaudhari , Ian J. Barnett

The SHAP (short for Shapley additive explanation) framework has become an essential tool for attributing importance to variables in predictive tasks. In model-agnostic settings, SHAP uses the concept of Shapley values from cooperative game…

机器学习 · 统计学 2026-02-12 Justin Whitehouse , Ayush Sawarni , Vasilis Syrgkanis

This paper aims to propose and theoretically analyze a new distributed scheme for sparse linear regression and feature selection. The primary goal is to learn the few causal features of a high-dimensional dataset based on noisy observations…

机器学习 · 统计学 2021-11-05 Hanie Barghi , Amir Najafi , Seyed Abolfazl Motahari

Sparseness is a useful regularizer for learning in a wide range of applications, in particular in neural networks. This paper proposes a model targeted at classification tasks, where sparse activity and sparse connectivity are used to…

机器学习 · 计算机科学 2016-04-19 Markus Thom , Günther Palm

Many high-dimensional data sets suffer from hidden confounding which affects both the predictors and the response of interest. In such situations, standard regression methods or algorithms lead to biased estimates. This paper substantially…

统计方法学 · 统计学 2024-12-17 Cyrill Scheidegger , Zijian Guo , Peter Bühlmann

Large-scale networks are commonly encountered in practice (e.g., Facebook and Twitter) by researchers. In order to study the network interaction between different nodes of large-scale networks, the spatial autoregressive (SAR) model has…

统计计算 · 统计学 2023-06-12 Xuetong Li , Feifei Wang , Wei Lan , Hansheng Wang

Sparse expert models are a thirty-year old concept re-emerging as a popular architecture in deep learning. This class of architecture encompasses Mixture-of-Experts, Switch Transformers, Routing Networks, BASE layers, and others, all with…

机器学习 · 计算机科学 2022-09-07 William Fedus , Jeff Dean , Barret Zoph

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

动力系统 · 数学 2026-02-18 Teddy Meissner , Karl Glasner

Many conventional statistical procedures are extremely sensitive to seemingly minor deviations from modeling assumptions. This problem is exacerbated in modern high-dimensional settings, where the problem dimension can grow with and…

机器学习 · 统计学 2017-02-27 Simon S. Du , Sivaraman Balakrishnan , Aarti Singh

Fine-tuning the entire set of parameters of a large pretrained model has become the mainstream approach for transfer learning. To increase its efficiency and prevent catastrophic forgetting and interference, techniques like adapters and…

计算与语言 · 计算机科学 2023-02-10 Alan Ansell , Edoardo Maria Ponti , Anna Korhonen , Ivan Vulić

We develop a new model and algorithms for machine learning-based learning analytics, which estimate a learner's knowledge of the concepts underlying a domain, and content analytics, which estimate the relationships among a collection of…

机器学习 · 统计学 2015-01-20 Andrew S. Lan , Andrew E. Waters , Christoph Studer , Richard G. Baraniuk