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Conditional density estimation (CDE) is the task of estimating the probability of an event conditioned on some inputs. A neural network (NN) can also be used to compute the output distribution for continuous-domain, which can be viewed as…

Machine Learning · Computer Science 2021-12-30 Bing Chen , Mazharul Islam , Jisuo Gao , Lin Wang

Conditional density estimation (CDE) goes beyond regression by modeling the full conditional distribution, providing a richer understanding of the data than just the conditional mean in regression. This makes CDE particularly useful in…

Machine Learning · Computer Science 2024-10-16 Lincen Yang , Matthijs van Leeuwen

We consider the problem of conditional density estimation, which is a major topic of interest in the fields of statistical and machine learning. Our method, called Marginal Contrastive Discrimination, MCD, reformulates the conditional…

Machine Learning · Statistics 2026-01-05 Katia Meziani , Aminata Ndiaye , Benjamin Riu

Conditional density estimation (CDE) models can be useful for many statistical applications, especially because the full conditional density is estimated instead of traditional regression point estimates, revealing more information about…

Methodology · Statistics 2021-07-12 Alex Akira Okuno , Felipe Maia Polo

Conditional density estimation (CDE) - recovering the full conditional distribution of a response given tabular covariates - is essential in settings with heteroscedasticity, multimodality, or asymmetric uncertainty. Recent tabular…

Machine Learning · Computer Science 2026-03-30 Rafael Izbicki , Pedro L. C. Rodrigues

Given a set of empirical observations, conditional density estimation aims to capture the statistical relationship between a conditional variable $\mathbf{x}$ and a dependent variable $\mathbf{y}$ by modeling their conditional probability…

Machine Learning · Statistics 2019-04-16 Jonas Rothfuss , Fabio Ferreira , Simon Walther , Maxim Ulrich

Modelling statistical relationships beyond the conditional mean is crucial in many settings. Conditional density estimation (CDE) aims to learn the full conditional probability density from data. Though highly expressive, neural network…

Machine Learning · Statistics 2020-02-17 Jonas Rothfuss , Fabio Ferreira , Simon Boehm , Simon Walther , Maxim Ulrich , Tamim Asfour , Andreas Krause

Conditional density estimation is a general framework for solving various problems in machine learning. Among existing methods, non-parametric and/or kernel-based methods are often difficult to use on large datasets, while methods based on…

Machine Learning · Statistics 2018-06-06 Hiroaki Sasaki , Aapo Hyvärinen

We introduce the Graph Mixture Density Networks, a new family of machine learning models that can fit multimodal output distributions conditioned on graphs of arbitrary topology. By combining ideas from mixture models and graph…

Machine Learning · Computer Science 2021-06-28 Federico Errica , Davide Bacciu , Alessio Micheli

Conditional density estimation (CDE) is a fundamental task in machine learning that aims to model the full conditional law $\mathbb{P}(\mathbf{y} \mid \mathbf{x})$, beyond mere point prediction (e.g., mean, mode). A core challenge is…

Machine Learning · Computer Science 2026-03-27 Chenglong Song , Mazharul Islam , Lin Wang , Bing Chen , Bo Yang

This paper investigates two prominent probabilistic neural modeling paradigms: Bayesian Neural Networks (BNNs) and Mixture Density Networks (MDNs) for uncertainty-aware nonlinear regression. While BNNs incorporate epistemic uncertainty by…

Computation · Statistics 2025-10-30 Riddhi Pratim Ghosh , Ian Barnett

Convolutional neural network (CNN) and its variants have led to many state-of-art results in various fields. However, a clear theoretical understanding about them is still lacking. Recently, multi-layer convolutional sparse coding (ML-CSC)…

Machine Learning · Computer Science 2020-07-22 Zhiyang Zhang , Shihua Zhang

Recently, dense connections have attracted substantial attention in computer vision because they facilitate gradient flow and implicit deep supervision during training. Particularly, DenseNet, which connects each layer to every other layer…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Jose Dolz , Karthik Gopinath , Jing Yuan , Herve Lombaert , Christian Desrosiers , Ismail Ben Ayed

This article introduces a multiple classifier method to improve the performance of concatenate-designed neural networks, such as ResNet and DenseNet, with the purpose to alleviate the pressure on the final classifier. We give the design of…

Neural and Evolutionary Computing · Computer Science 2021-09-06 Ka-Hou Chan , Sio-Kei Im , Wei Ke

Conditional density estimation generalizes regression by modeling a full density f(yjx) rather than only the expected value E(yjx). This is important for many tasks, including handling multi-modality and generating prediction intervals.…

Methodology · Statistics 2012-06-26 Michael P. Holmes , Alexander G. Gray , Charles Lee Isbell

The conditional density characterizes the distribution of a response variable $y$ given other predictor $x$, and plays a key role in many statistical tasks, including classification and outlier detection. Although there has been abundant…

Methodology · Statistics 2025-07-08 Cheng Zeng , George Michailidis , Hitoshi Iyatomi , Leo L Duan

Nonparametric estimation of the conditional distribution of a response given high-dimensional features is a challenging problem. It is important to allow not only the mean but also the variance and shape of the response density to change…

Machine Learning · Statistics 2013-12-05 Francesca Petralia , Joshua Vogelstein , David B. Dunson

Estimation of probability density function from samples is one of the central problems in statistics and machine learning. Modern neural network-based models can learn high dimensional distributions but have problems with hyperparameter…

Machine Learning · Computer Science 2022-02-28 Georgii S. Novikov , Maxim E. Panov , Ivan V. Oseledets

Partial differential equations (PDEs) are indispensable for modeling many physical phenomena and also commonly used for solving image processing tasks. In the latter area, PDE-based approaches interpret image data as discretizations of…

Machine Learning · Computer Science 2018-12-12 Lars Ruthotto , Eldad Haber

Regression aims at estimating the conditional mean of output given input. However, regression is not informative enough if the conditional density is multimodal, heteroscedastic, and asymmetric. In such a case, estimating the conditional…

Machine Learning · Computer Science 2014-04-29 Voot Tangkaratt , Ning Xie , Masashi Sugiyama
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