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Recent theoretical studies proved that deep neural network (DNN) estimators obtained by minimizing empirical risk with a certain sparsity constraint can attain optimal convergence rates for regression and classification problems. However,…

统计理论 · 数学 2021-08-10 Ilsang Ohn , Yongdai Kim

Radio channels are typically sparse in the delay domain, and ideal for compressed sensing. A new compressed sensing algorithm called eX-OMP is developed that yields performance similar to that of the optimal MMSE estimator. The new…

信息论 · 计算机科学 2016-12-23 Jonathan Ling , Dmitry Chizhik , A. Tulino , Inaki Esnaola

This paper deals with the problem of finding suboptimal values of an unknown function on the basis of measured data corrupted by bounded noise. As a prior, we assume that the unknown function is parameterized in terms of a number of basis…

最优化与控制 · 数学 2025-06-10 Jaap Eising , Jorge Cortes

This paper addresses the classic problem of regression, which involves the inductive learning of a map, $y=f(x,z)$, $z$ denoting noise, $f:\mathbb{R}^n\times \mathbb{R}^k \rightarrow \mathbb{R}^m$. Recently, Conditional GAN (CGAN) has been…

机器学习 · 计算机科学 2020-03-04 Saurav Manchanda , Khoa Doan , Pranjul Yadav , S. Sathiya Keerthi

In neural networks with binary activations and or binary weights the training by gradient descent is complicated as the model has piecewise constant response. We consider stochastic binary networks, obtained by adding noises in front of…

机器学习 · 统计学 2020-11-05 Alexander Shekhovtsov , Viktor Yanush , Boris Flach

Regression models that ignore measurement error in predictors may produce highly biased estimates leading to erroneous inferences. It is well known that it is extremely difficult to take measurement error into account in Gaussian…

统计方法学 · 统计学 2023-02-03 Mohammad W. Hattab , David Ruppert

While deep learning-based classification is generally tackled using standardized approaches, a wide variety of techniques are employed for regression. In computer vision, one particularly popular such technique is that of confidence-based…

机器学习 · 计算机科学 2020-07-21 Fredrik K. Gustafsson , Martin Danelljan , Goutam Bhat , Thomas B. Schön

The growing uncertainty from renewable power and electricity demand brings significant challenges to unit commitment (UC). While various advanced forecasting and optimization methods have been developed to predict better and address this…

最优化与控制 · 数学 2025-09-30 Rui Xie , Yue Chen , Pierre Pinson

Optimal estimation and inference for both the minimizer and minimum of a convex regression function under the white noise and nonparametric regression models are studied in a nonasymptotic local minimax framework, where the performance of a…

统计理论 · 数学 2024-03-12 T. Tony Cai , Ran Chen , Yuancheng Zhu

We consider the prediction of weak effects in a multiple-output regression setup, when covariates are expected to explain a small amount, less than $\approx 1%$, of the variance of the target variables. To facilitate the prediction of the…

We consider the least-squares regression problem and provide a detailed asymptotic analysis of the performance of averaged constant-step-size stochastic gradient descent (a.k.a. least-mean-squares). In the strongly-convex case, we provide…

机器学习 · 计算机科学 2014-12-02 Alexandre Défossez , Francis Bach

We propose a computationally efficient estimator, formulated as a convex program, for a broad class of non-linear regression problems that involve difference of convex (DC) non-linearities. The proposed method can be viewed as a significant…

机器学习 · 统计学 2019-04-01 Sohail Bahmani

We provide a new computationally-efficient class of estimators for risk minimization. We show that these estimators are robust for general statistical models: in the classical Huber epsilon-contamination model and in heavy-tailed settings.…

机器学习 · 统计学 2018-04-23 Adarsh Prasad , Arun Sai Suggala , Sivaraman Balakrishnan , Pradeep Ravikumar

Prediction error is critical to assessing the performance of statistical methods and selecting statistical models. We propose the cross-validation and approximated cross-validation methods for estimating prediction error under a broad…

统计理论 · 数学 2007-06-13 Jianqing Fan , Chunming Zhang

Regression is fundamental in computer vision and is widely used in various tasks including age estimation, depth estimation, target localization, \etc However, real-world data often exhibits imbalanced distribution, making regression models…

计算机视觉与模式识别 · 计算机科学 2025-08-26 Yahao Liu , Qin Wang , Lixin Duan , Wen Li

Branch instructions dependent on hard-to-predict load data are the leading branch misprediction contributors. Current state-of-the-art history-based branch predictors have poor prediction accuracy for these branches. Prior research backs…

硬件体系结构 · 计算机科学 2020-09-22 Akash Sridhar , Nursultan Kabylkas , Jose Renau

Supervised learning under measurement constraints is a common challenge in statistical and machine learning. In many applications, despite extensive design points, acquiring responses for all points is often impractical due to resource…

统计方法学 · 统计学 2025-03-19 Lin Wang

In small area estimation, it is a smart strategy to rely on data measured over time. However, linear mixed models struggle to properly capture time dependencies when the number of lags is large. Given the lack of published studies…

Categorical predictors are omnipresent in everyday regression practice: in fact, most regression data involve some categorical predictors, and this tendency is increasing in modern applications with more complex structures and larger data…

统计方法学 · 统计学 2025-11-11 Chaegeun Song , Zhong Zheng , Bing Li , Lingzhou Xue

We present a new method in problems where estimates are needed for finite population domains with small or even zero sample sizes. In contrast to known estimation methods, an auxiliary information is used to model sizes of population units…

统计理论 · 数学 2014-06-23 Andrius Čiginas , Tomas Rudys
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