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This paper deals with the problem of estimating a slope parameter in a simple linear regression model, where independent variables have functional measurement errors. Measurement errors in independent variables, as is well known, cause…

统计理论 · 数学 2018-04-10 Hisayuki Tsukuma

Sharpness-aware minimization (SAM) has well-documented merits in enhancing generalization of deep neural network models. Accounting for sharpness in the loss function geometry, where neighborhoods of `flat minima' heighten generalization…

机器学习 · 计算机科学 2025-09-03 Bingcong Li , Yilang Zhang , Georgios B. Giannakis

Recently, Sharpness-Aware Minimization (SAM) algorithm has shown state-of-the-art generalization abilities in vision tasks. It demonstrates that flat minima tend to imply better generalization abilities. However, it has some difficulty…

机器学习 · 计算机科学 2022-10-14 Zhiyuan Zhang , Ruixuan Luo , Qi Su , Xu Sun

Randomized smoothing has shown promising certified robustness against adversaries in classification tasks. Despite such success with only zeroth-order access to base models, randomized smoothing has not been extended to a general form of…

机器学习 · 计算机科学 2024-05-16 Aref Miri Rekavandi , Olga Ohrimenko , Benjamin I. P. Rubinstein

This paper develops and analyzes three families of estimators that continuously interpolate between classical quantiles and the sample mean. The construction begins with a smoothed version of the $L_{1}$ loss, indexed by a location…

统计方法学 · 统计学 2025-12-23 Saïd Maanan , Azzouz Dermoune , Ahmed El Ghini

Online Learning to Rank (OL2R) algorithms learn from implicit user feedback on the fly. The key of such algorithms is an unbiased estimation of gradients, which is often (trivially) achieved by uniformly sampling from the entire parameter…

信息检索 · 计算机科学 2019-11-18 Huazheng Wang , Sonwoo Kim , Eric McCord-Snook , Qingyun Wu , Hongning Wang

We investigate a local reparameterizaton technique for greatly reducing the variance of stochastic gradients for variational Bayesian inference (SGVB) of a posterior over model parameters, while retaining parallelizability. This local…

机器学习 · 统计学 2015-12-22 Diederik P. Kingma , Tim Salimans , Max Welling

Generative Adversarial Networks (GAN) have limitations when the goal is to generate sequences of discrete elements. The reason for this is that samples from a distribution on discrete objects such as the multinomial are not differentiable…

机器学习 · 统计学 2016-11-16 Matt J. Kusner , José Miguel Hernández-Lobato

Despite the frequent use of agent-based models (ABMs) for studying social phenomena, parameter estimation remains a challenge, often relying on costly simulation-based heuristics. This work uses variational inference to estimate the…

计算机与社会 · 计算机科学 2025-12-04 Jacopo Lenti , Fabrizio Silvestri , Gianmarco De Francisci Morales

To fully uncover the great potential of deep neural networks (DNNs), various learning algorithms have been developed to improve the model's generalization ability. Recently, sharpness-aware minimization (SAM) establishes a generic scheme…

计算机视觉与模式识别 · 计算机科学 2022-11-22 Tao Li , Weihao Yan , Zehao Lei , Yingwen Wu , Kun Fang , Ming Yang , Xiaolin Huang

Any classifier can be "smoothed out" under Gaussian noise to build a new classifier that is provably robust to $\ell_2$-adversarial perturbations, viz., by averaging its predictions over the noise via randomized smoothing. Under the…

机器学习 · 计算机科学 2022-12-21 Jongheon Jeong , Seojin Kim , Jinwoo Shin

The Gumbel-softmax distribution, or Concrete distribution, is often used to relax the discrete characteristics of a categorical distribution and enable back-propagation through differentiable reparameterization. Although it reliably yields…

音频与语音处理 · 电气工程与系统科学 2022-05-10 Sangshin Oh , Seyun Um , Hong-Goo Kang

We investigate a weighted Multilevel Richardson-Romberg extrapolation for the ergodic approximation of invariant distributions of diffusions adapted from the one introduced in~[Lemaire-Pag\`es, 2013] for regular Monte Carlo simulation. In a…

概率论 · 数学 2016-07-05 Gilles Pagès , Fabien Panloup

This paper addresses the distributed stochastic minimax optimization problem subject to stochastic constraints. We propose a novel first-order Softmax-Weighted Switching Gradient method tailored for federated learning. Under full client…

机器学习 · 计算机科学 2026-03-09 Zhankun Luo , Antesh Upadhyay , Sang Bin Moon , Abolfazl Hashemi

It is well-known that the reparameterisation gradient estimator, which exhibits low variance in practice, is biased for non-differentiable models. This may compromise correctness of gradient-based optimisation methods such as stochastic…

机器学习 · 计算机科学 2024-02-21 Dominik Wagner , Basim Khajwal , C. -H. Luke Ong

In this manuscript, we propose to use a variational autoencoder-based framework for parameterizing a conditional linear minimum mean squared error estimator. The variational autoencoder models the underlying unknown data distribution as…

信号处理 · 电气工程与系统科学 2024-08-23 Michael Baur , Benedikt Fesl , Wolfgang Utschick

This paper presents a practical and simple fully nonparametric multivariate smoothing procedure that adapts to the underlying smoothness of the true regression function. Our estimator is easily computed by successive application of existing…

统计方法学 · 统计学 2011-06-08 P. A. Cornillon , N. Hengartner , E. Matzner-Løber

We study denoising score matching (DSM) when the latent distribution is supported on a smooth embedded manifold $M \subset \mathbb{R}^D$. Under ambient Gaussian corruption, the tangent denoising target contains a singular normal-fiber noise…

机器学习 · 统计学 2026-05-28 Divit Rawal

We consider unbiased estimation of a sparse nonrandom vector corrupted by additive white Gaussian noise. We show that while there are infinitely many unbiased estimators for this problem, none of them has uniformly minimum variance.…

统计理论 · 数学 2010-06-02 Alexander Jung , Zvika Ben-Haim , Franz Hlawatsch , Yonina C. Eldar

It is a common phenomenon that for high-dimensional and nonparametric statistical models, rate-optimal estimators balance squared bias and variance. Although this balancing is widely observed, little is known whether methods exist that…

统计理论 · 数学 2023-03-21 Alexis Derumigny , Johannes Schmidt-Hieber