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Variance estimation in the linear model when $p > n$ is a difficult problem. Standard least squares estimation techniques do not apply. Several variance estimators have been proposed in the literature, all with accompanying asymptotic…

Methodology · Statistics 2014-01-30 Stephen Reid , Robert Tibshirani , Jerome Friedman

We investigate the potential of adaptive blind equalizers based on variational inference for carrier recovery in optical communications. These equalizers are based on a low-complexity approximation of maximum likelihood channel estimation.…

Signal Processing · Electrical Eng. & Systems 2022-09-16 Vincent Lauinger , Fred Buchali , Laurent Schmalen

We combine conditional variational autoencoders (VAE) with adversarial censoring in order to learn invariant representations that are disentangled from nuisance/sensitive variations. In this method, an adversarial network attempts to…

Machine Learning · Computer Science 2018-05-22 Ye Wang , Toshiaki Koike-Akino , Deniz Erdogmus

An approximate mean square error (MSE) expression for the performance analysis of implicitly defined estimators of non-random parameters is proposed. An implicitly defined estimator (IDE) declares the minimizer/maximizer of a selected…

Signal Processing · Electrical Eng. & Systems 2025-12-02 Erdal Mehmetcik , Umut Orguner , Çağatay Candan

The key idea of variational auto-encoders (VAEs) resembles that of traditional auto-encoder models in which spatial information is supposed to be explicitly encoded in the latent space. However, the latent variables in VAEs are vectors,…

Machine Learning · Computer Science 2019-01-23 Zhengyang Wang , Hao Yuan , Shuiwang Ji

Learning from multiple sources of information is an important problem in machine-learning research. The key challenges are learning representations and formulating inference methods that take into account the complementarity and redundancy…

Machine Learning · Statistics 2018-11-20 Richard Kurle , Stephan Günnemann , Patrick van der Smagt

The recognition network in deep latent variable models such as variational autoencoders (VAEs) relies on amortized inference for efficient posterior approximation that can scale up to large datasets. However, this technique has also been…

Machine Learning · Statistics 2019-02-28 Rui Shu , Hung H. Bui , Jay Whang , Stefano Ermon

Unsupervised learning with functional data is an emerging paradigm of machine learning research with applications to computer vision, climate modeling and physical systems. A natural way of modeling functional data is by learning operators…

Machine Learning · Computer Science 2023-02-22 Jacob H. Seidman , Georgios Kissas , George J. Pappas , Paris Perdikaris

We analyze a simple prefiltered variation of the least squares estimator for the problem of estimation with biased, semi-parametric noise, an error model studied more broadly in causal statistics and active learning. We prove an oracle…

Machine Learning · Computer Science 2019-02-05 Max Simchowitz , Ross Boczar , Benjamin Recht

Neural networks are used for channel decoding, channel detection, channel evaluation, and resource management in multi-input and multi-output (MIMO) wireless communication systems. In this paper, we consider the problem of finding precoding…

Signal Processing · Electrical Eng. & Systems 2022-05-06 Evgeny Bobrov , Alexander Markov , Sviatoslav Panchenko , Dmitry Vetrov

We propose a scalable variational Bayes method for statistical inference for a single or low-dimensional subset of the coordinates of a high-dimensional parameter in sparse linear regression. Our approach relies on assigning a mean-field…

Machine Learning · Statistics 2025-08-12 Ismaël Castillo , Alice L'Huillier , Kolyan Ray , Luke Travis

Predicting customers' long-term revenue from sparse and irregular transaction data is central to marketing resource allocation in non-contractual settings, yet existing approaches face a trade-off. Traditional probabilistic customer base…

Machine Learning · Statistics 2026-04-27 Jeffrey Näf , Riana Valera Mbelson , Markus Meierer

This paper studies a reconstruction-based approach for weakly-supervised animal detection from aerial images in marine environments. Such an approach leverages an anomaly detection framework that computes metrics directly on the input…

Computer Vision and Pattern Recognition · Computer Science 2023-07-14 Minh-Tan Pham , Hugo Gangloff , Sébastien Lefèvre

In a given scene, humans can often easily predict a set of immediate future events that might happen. However, generalized pixel-level anticipation in computer vision systems is difficult because machine learning struggles with the…

Computer Vision and Pattern Recognition · Computer Science 2016-06-28 Jacob Walker , Carl Doersch , Abhinav Gupta , Martial Hebert

A clear need for automatic anomaly detection applied to automotive testing has emerged as more and more attention is paid to the data recorded and manual evaluation by humans reaches its capacity. Such real-world data is massive, diverse,…

Machine Learning · Computer Science 2024-11-22 Lucas Correia , Jan-Christoph Goos , Philipp Klein , Thomas Bäck , Anna V. Kononova

A low-complexity convolutional neural network estimator which learns the minimum mean squared error channel estimator for single-antenna users was recently proposed. We generalize the architecture to the estimation of MIMO channels with…

Information Theory · Computer Science 2021-04-27 B. Fesl , N. Turan , M. Koller , W. Utschick

We study semiparametric varying-coefficient partially linear models when some linear covariates are not observed, but ancillary variables are available. Semiparametric profile least-square based estimation procedures are developed for…

Statistics Theory · Mathematics 2009-03-04 Yong Zhou , Hua Liang

This paper considers estimation of a random variable in Poisson noise with signal scaling coefficient and dark current as explicit parameters of the noise model. Specifically, the paper focuses on properties of the conditional mean…

Information Theory · Computer Science 2020-04-01 Alex Dytso , H. Vincent Poor

Many applications, such as text modelling, high-throughput sequencing, and recommender systems, require analysing sparse, high-dimensional, and overdispersed discrete (count-valued or binary) data. Although probabilistic matrix…

Machine Learning · Computer Science 2019-05-27 He Zhao , Piyush Rai , Lan Du , Wray Buntine , Mingyuan Zhou

This work proposed kernel selection approaches for probabilistic classifiers based on features produced by the convolutional encoder of a variational autoencoder. Particularly, the developed methodologies allow the selection of the most…

Machine Learning · Computer Science 2025-08-05 Fábio Mendonça , Sheikh Shanawaz Mostafa , Fernando Morgado-Dias , Antonio G. Ravelo-García