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This paper investigates a channel estimator based on Gaussian mixture models (GMMs) in the context of linear inverse problems with additive Gaussian noise. We fit a GMM to given channel samples to obtain an analytic probability density…

信号处理 · 电气工程与系统科学 2022-09-14 Michael Koller , Benedikt Fesl , Nurettin Turan , Wolfgang Utschick

In this work, we propose variations of a Gaussian mixture model (GMM) based channel estimator that was recently proven to be asymptotically optimal in the minimum mean square error (MMSE) sense. We account for the need of low computational…

信息论 · 计算机科学 2023-06-06 Benedikt Fesl , Michael Joham , Sha Hu , Michael Koller , Nurettin Turan , Wolfgang Utschick

In this work, we utilize a Gaussian mixture model (GMM) to capture the underlying probability density function (PDF) of the channel trajectories of moving mobile terminals (MTs) within the coverage area of a base station (BS) in an offline…

In this letter, we propose a Gaussian mixture model (GMM)-based channel estimator which is learned on imperfect training data, i.e., the training data are solely comprised of noisy and sparsely allocated pilot observations. In a practical…

信号处理 · 电气工程与系统科学 2023-02-14 Benedikt Fesl , Nurettin Turan , Michael Joham , Wolfgang Utschick

In this work, we use real-world data in order to evaluate and validate a machine learning (ML)-based algorithm for physical layer functionalities. Specifically, we apply a recently introduced Gaussian mixture model (GMM)-based algorithm in…

信息论 · 计算机科学 2022-07-29 Nurettin Turan , Benedikt Fesl , Moritz Grundei , Michael Koller , Wolfgang Utschick

We consider the problem of estimating the conditional probability distribution of missing values given the observed ones. We propose an approach, which combines the flexibility of deep neural networks with the simplicity of Gaussian mixture…

机器学习 · 计算机科学 2020-11-20 Marcin Przewięźlikowski , Marek Śmieja , Łukasz Struski

Channel estimation in quantized systems is challenging, particularly in low-resolution systems. In this work, we propose to leverage a Gaussian mixture model (GMM) as generative prior, capturing the channel distribution of the propagation…

信号处理 · 电气工程与系统科学 2024-05-07 Benedikt Fesl , Aziz Banna , Wolfgang Utschick

In this letter, we revisit the problem of maximum likelihood estimation (MLE) of parameters of Gaussian Mixture Model (GMM) and show a new derivation for its parameters. The new derivation, unlike the classical approach employing the…

信号处理 · 电气工程与系统科学 2020-01-10 Nitesh Sahu , Prabhu Babu

In this work, we study non-parametric estimation of joint probabilities of a given set of discrete and continuous random variables from their (empirically estimated) 2D marginals, under the assumption that the joint probability could be…

机器学习 · 计算机科学 2022-03-04 Shaan ul Haque , Ajit Rajwade , Karthik S. Gurumoorthy

We consider maximum likelihood estimation for Gaussian Mixture Models (Gmms). This task is almost invariably solved (in theory and practice) via the Expectation Maximization (EM) algorithm. EM owes its success to various factors, of which…

机器学习 · 统计学 2018-06-04 Reshad Hosseini , Suvrit Sra

Contextual optimization enhances decision quality by leveraging side information to improve predictions of uncertain parameters. However, existing approaches face significant challenges when dealing with multimodal or mixtures of…

最优化与控制 · 数学 2025-09-19 YoungChul Yoon , Grani A. Hanasusanto , Yijie Wang

Channel modeling is a critical topic when considering designing, learning, or evaluating the performance of any communications system. Most prior work in designing or learning new modulation schemes has focused on using highly simplified…

机器学习 · 计算机科学 2018-08-22 Timothy J. O'Shea , Tamoghna Roy , Nathan West

In this work, we propose two methods that utilize data symbols in addition to pilot symbols for improved channel estimation quality in a multi-user system, so-called semi-blind channel estimation. To this end, a subspace is estimated based…

信号处理 · 电气工程与系统科学 2023-09-12 Franz Weißer , Nurettin Turan , Dominik Semmler , Wolfgang Utschick

This work introduces a novel class of channel estimators tailored for coarse quantization systems. The proposed estimators are founded on conditionally Gaussian latent generative models, specifically Gaussian mixture models (GMMs), mixture…

信号处理 · 电气工程与系统科学 2023-12-19 Benedikt Fesl , Nurettin Turan , Benedikt Böck , Wolfgang Utschick

This paper investigates Gaussian copula mixture models (GCMM), which are an extension of Gaussian mixture models (GMM) that incorporate copula concepts. The paper presents the mathematical definition of GCMM and explores the properties of…

机器学习 · 计算机科学 2023-05-25 Ke Wan , Alain Kornhauser

We consider estimating the parameters of a Gaussian mixture density with a given number of components best representing a given set of weighted samples. We adopt a density interpretation of the samples by viewing them as a discrete Dirac…

机器学习 · 统计学 2025-04-03 Daniel Frisch , Uwe D. Hanebeck

Parton distribution functions (PDFs) form an essential part of particle physics calculations. Currently, the most precise predictions for these non-perturbative functions are generated through fits to global data. A problem that several PDF…

高能物理 - 唯象学 · 物理学 2025-09-04 Mengshi Yan , Tie-Jiun Hou , Zhao Li , Kirtimaan Mohan , C. -P. Yuan

Conditional density estimation is complicated by multimodality, heteroscedasticity, and strong non-Gaussianity. Gaussian processes (GPs) provide a principled nonparametric framework with calibrated uncertainty, but standard GP regression is…

机器学习 · 计算机科学 2026-03-12 Vardaan Tekriwal , Mark D. Risser , Hengrui Luo , Marcus M. Noack

The recent emergence of deep learning has led to a great deal of work on designing supervised deep semantic segmentation algorithms. As in many tasks sufficient pixel-level labels are very difficult to obtain, we propose a method which…

计算机视觉与模式识别 · 计算机科学 2024-04-19 Matthias Schwab , Agnes Mayr , Markus Haltmeier

Single-channel deep speech enhancement approaches often estimate a single multiplicative mask to extract clean speech without a measure of its accuracy. Instead, in this work, we propose to quantify the uncertainty associated with clean…

音频与语音处理 · 电气工程与系统科学 2023-05-16 Huajian Fang , Timo Gerkmann
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