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Deep neural networks have amply demonstrated their prowess but estimating the reliability of their predictions remains challenging. Deep Ensembles are widely considered as being one of the best methods for generating uncertainty estimates…

Machine Learning · Computer Science 2021-06-28 Nikita Durasov , Timur Bagautdinov , Pierre Baque , Pascal Fua

This work aims to implement Long Short-Term Memory mixture density networks (LSTM-MDNs) for Value-at-Risk forecasting and compare their performance with established models (historical simulation, CMM, and GARCH) using a defined backtesting…

Computational Finance · Quantitative Finance 2025-01-03 Nico Herrig

Particle filters flexibly represent multiple posterior modes nonparametrically, via a collection of weighted samples, but have classically been applied to tracking problems with known dynamics and observation likelihoods. Such generative…

Machine Learning · Computer Science 2024-04-16 Ali Younis , Erik Sudderth

Tensor networks (TNs) enable compact representations of large tensors through shared parameters. Their use in probabilistic modeling is particularly appealing, as probabilistic tensor networks (PTNs) allow for tractable computation of…

Machine Learning · Computer Science 2025-10-02 Marawan Gamal Abdel Hameed , Guillaume Rabusseau

As we collect additional samples from a data population for which a known density function estimate may have been previously obtained by a black box method, the increased complexity of the data set may result in the true density being…

Machine Learning · Statistics 2022-10-28 Dat Do , Nhat Ho , XuanLong Nguyen

In the realm of Mobility-on-Demand (MoD) systems, the forecasting of rider demand is a cornerstone for operational decision-making and system optimization. Traditional forecasting methodologies primarily yield point estimates, thereby…

Machine Learning · Computer Science 2024-03-06 Xiaoming Li , Hubert Normandin-Taillon , Chun Wang , Xiao Huang

Mixtures-of-Experts (MoE) are conditional mixture models that have shown their performance in modeling heterogeneity in data in many statistical learning approaches for prediction, including regression and classification, as well as for…

Methodology · Statistics 2019-07-17 Bao Tuyen Huynh , Faicel Chamroukhi

Despite the recent successes of probabilistic programming languages (PPLs) in AI applications, PPLs offer only limited support for random variables whose distributions combine discrete and continuous elements. We develop the notion of…

Artificial Intelligence · Computer Science 2018-06-11 Yi Wu , Siddharth Srivastava , Nicholas Hay , Simon Du , Stuart Russell

Deep neural networks (DNNs) are often prone to learn the spurious correlations between target classes and bias attributes, like gender and race, inherent in a major portion of training data (bias-aligned samples), thus showing unfair…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Mei Wang , Weihong Deng , Jiani Hu , Sen Su

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

Complex networks are ubiquitous to several Computer Science domains. Centrality measures are an important analysis mechanism to uncover vital elements of complex networks. However, these metrics have high computational costs and…

Machine Learning · Computer Science 2018-10-30 Felipe Grando , Lisando Z. Granville , Luis C. Lamb

It is well known that the output of a Neural Network trained to disentangle between two classes has a probabilistic interpretation in terms of the a-posteriori Bayesian probability, provided that a unary representation is taken for the…

Data Analysis, Statistics and Probability · Physics 2009-10-31 Lluis Garrido , Aurelio Juste

This paper introduces the kernel mixture network, a new method for nonparametric estimation of conditional probability densities using neural networks. We model arbitrarily complex conditional densities as linear combinations of a family of…

Machine Learning · Statistics 2017-05-22 Luca Ambrogioni , Umut Güçlü , Marcel A. J. van Gerven , Eric Maris

This paper proposes a Mixture Density Network specifically designed for forecasting time series that exhibit locally explosive behavior. By incorporating skewed t-distributions as mixture components, our approach offers enhanced flexibility…

Methodology · Statistics 2026-02-11 Elena Dumitrescu , Julien Peignon , Arthur Thomas

A procedure based on a Mixture Density Model for correcting experimental data for distortions due to finite resolution and limited detector acceptance is presented. Addressing the case that the solution is known to be non-negative, in the…

Data Analysis, Statistics and Probability · Physics 2015-03-09 Nikolai Gagunashvili

Batch Normalization (BN) and its variants have delivered tremendous success in combating the covariate shift induced by the training step of deep learning methods. While these techniques normalize feature distributions by standardizing with…

Machine Learning · Computer Science 2021-05-06 Mandy Lu , Qingyu Zhao , Jiequan Zhang , Kilian M. Pohl , Li Fei-Fei , Juan Carlos Niebles , Ehsan Adeli

In active learning, the size and complexity of the training dataset changes over time. Simple models that are well specified by the amount of data available at the start of active learning might suffer from bias as more points are actively…

Machine Learning · Computer Science 2022-05-05 Chelsea Murray , James U. Allingham , Javier Antorán , José Miguel Hernández-Lobato

Following the great success of Machine Learning (ML), especially Deep Neural Networks (DNNs), in many research domains in 2010s, several ML-based approaches were proposed for detection in large inverse linear problems, e.g., massive MIMO…

Signal Processing · Electrical Eng. & Systems 2021-10-22 Edgar Beck , Carsten Bockelmann , Armin Dekorsy

Data augmentation is an essential technique for improving recognition accuracy in object recognition using deep learning. Methods that generate mixed data from multiple data sets, such as mixup, can acquire new diversity that is not…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Shungo Fujii , Yasunori Ishii , Kazuki Kozuka , Tsubasa Hirakawa , Takayoshi Yamashita , Hironobu Fujiyoshi

Pairwise distance-based costs are crucial for self-supervised and contrastive feature learning. Mixture Density Networks (MDNs) are a widely used approach for generative models and density approximation, using neural networks to produce…

Machine Learning · Computer Science 2025-10-09 Bo Hu , José C. Príncipe