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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

Reliable probability estimation is of crucial importance in many real-world applications where there is inherent (aleatoric) uncertainty. Probability-estimation models are trained on observed outcomes (e.g. whether it has rained or not, or…

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

Set prediction is about learning to predict a collection of unordered variables with unknown interrelations. Training such models with set losses imposes the structure of a metric space over sets. We focus on stochastic and underdefined…

Machine Learning · Computer Science 2021-02-23 David W. Zhang , Gertjan J. Burghouts , Cees G. M. Snoek

Deep learning models are being adopted and applied on various critical decision-making tasks, yet they are trained to provide point predictions without providing degrees of confidence. The trustworthiness of deep learning models can be…

Machine Learning · Computer Science 2024-10-28 Daniel Nolte , Souparno Ghosh , Ranadip Pal

We study a generic ensemble of deep belief networks which is parametrized by the distribution of energy levels of the hidden states of each layer. We show that, within a random energy approach, statistical dependence can propagate from the…

Disordered Systems and Neural Networks · Physics 2022-08-17 Rongrong Xie , Matteo Marsili

Predictive Coding (PC) is an influential account of cortical learning. Much of recent work has focused on comparing PC to Backpropagation (BP) to find whether PC offers any advantages. Small scale experiments show that PC enables learning…

Machine Learning · Computer Science 2026-05-13 Gaspard Oliviers , Elene Lominadze , Rafal Bogacz

Data-driven forecasts of air quality have recently achieved more accurate short-term predictions. Despite their success, most of the current data-driven solutions lack proper quantifications of model uncertainty that communicate how much to…

Machine Learning · Computer Science 2021-12-07 Abdulmajid Murad , Frank Alexander Kraemer , Kerstin Bach , Gavin Taylor

Density estimation is a central primitive in probabilistic modeling, yet continuous, discrete, and mixed-variable domains are often treated by separate objectives, limiting the ability to exploit a common statistical structure across data…

Artificial Intelligence · Computer Science 2026-05-12 Zhijun Zeng , Yixuan Jiang , Pipi Hu , Zuoqiang Shi

Modeling distributions of covariates, or density estimation, is a core challenge in unsupervised learning. However, the majority of work only considers the joint distribution, which has limited utility in practical situations. A more…

Machine Learning · Computer Science 2021-10-28 Ryan R. Strauss , Junier B. Oliva

Deep learning for regression tasks on medical imaging data has shown promising results. However, compared to other approaches, their power is strongly linked to the dataset size. In this study, we evaluate 3D-convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2018-11-13 Yannick Suter , Alain Jungo , Michael Rebsamen , Urspeter Knecht , Evelyn Herrmann , Roland Wiest , Mauricio Reyes

This paper introduces a new methodology for extreme spatial dependence structure selection. It is based on deep learning techniques, specifically Convolutional Neural Networks -CNNs. Two schemes are considered: in the first scheme, the…

Data Analysis, Statistics and Probability · Physics 2024-09-23 Manaf Ahmed , Véronique Maume-Deschamps , Pierre Ribereau

Deep Learning methods have significantly advanced various data-driven tasks such as regression, classification, and forecasting. However, much of this progress has been predicated on the strong but often unrealistic assumption that training…

Machine Learning · Computer Science 2023-10-12 Josias Moukpe

Densely connected convolutional networks (DenseNet) behave well in image processing. However, for regression tasks, convolutional DenseNet may lose essential information from independent input features. To tackle this issue, we propose a…

Machine Learning · Computer Science 2022-07-13 Chao Jiang , Canchen Jiang , Dongwei Chen , Fei Hu

We introduce a novel energy formulation for Plug- and-Play (PnP) image recovery. Traditional PnP methods that use a convolutional neural network (CNN) do not have an energy based formulation. The primary focus of this work is to introduce…

Image and Video Processing · Electrical Eng. & Systems 2023-02-24 Jyothi Rikabh Chand , Mathews Jacob

Transfer learning has become crucial in computer vision tasks due to the vast availability of pre-trained deep learning models. However, selecting the optimal pre-trained model from a diverse pool for a specific downstream task remains a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Xiaotong Li , Zixuan Hu , Yixiao Ge , Ying Shan , Ling-Yu Duan

This paper describes how to specify probability models for data analysis via a backward induction procedure. The new approach yields coherent, prior-free uncertainty assessment. After presenting some intuition-building examples, the new…

Methodology · Statistics 2015-02-24 P. Richard Hahn

We motivate Energy-Based Models (EBMs) as a promising model class for continual learning problems. Instead of tackling continual learning via the use of external memory, growing models, or regularization, EBMs change the underlying training…

Machine Learning · Computer Science 2025-03-05 Shuang Li , Yilun Du , Gido M. van de Ven , Igor Mordatch

Neural network-based methods for (un)conditional density estimation have recently gained substantial attention, as various neural density estimators have outperformed classical approaches in real-data experiments. Despite these empirical…

Machine Learning · Statistics 2025-10-02 Dehao Dai , Jianqing Fan , Yihong Gu , Debarghya Mukherjee

The customizable nature of deep learning models have allowed them to be successful predictors in various disciplines. These models are often trained with respect to thousands or millions of instances for complicated problems, but the…

Machine Learning · Computer Science 2019-12-24 Drimik Roy Chowdhury , Muhammad Firmansyah Kasim