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Generative Bayesian Filtering (GBF) provides a powerful and flexible framework for performing posterior inference in complex nonlinear and non-Gaussian state-space models. Our approach extends Generative Bayesian Computation (GBC) to…

Methodology · Statistics 2025-11-07 Edoardo Marcelli , Sean O'Hagan , Veronika Rockova

We develop a multivariate posterior sampling procedure through deep generative quantile learning. Simulation proceeds implicitly through a push-forward mapping that can transform i.i.d. random vector samples from the posterior. We utilize…

Computation · Statistics 2025-05-01 Jungeum Kim , Percy S. Zhai , Veronika Ročková

\noindent Hyper-parameter selection is a central practical problem in modern machine learning, governing regularization strength, model capacity, and robustness choices. Cross-validation is often computationally prohibitive at scale, while…

Machine Learning · Statistics 2025-12-24 Hedibert Lopes , Nick Polson , Vadim Sokolov

In this work we propose a new deep learning tool called deep dictionary learning. Multi-level dictionaries are learnt in a greedy fashion, one layer at a time. This requires solving a simple (shallow) dictionary learning problem, the…

Machine Learning · Computer Science 2016-02-02 Snigdha Tariyal , Angshul Majumdar , Richa Singh , Mayank Vatsa

Deep learning is a form of machine learning for nonlinear high dimensional pattern matching and prediction. By taking a Bayesian probabilistic perspective, we provide a number of insights into more efficient algorithms for optimisation and…

Machine Learning · Statistics 2018-01-23 Nicholas Polson , Vadim Sokolov

Establishing accurate morphological measurements of galaxies in a reasonable amount of time for future big-data surveys such as EUCLID, the Large Synoptic Survey Telescope or the Wide Field Infrared Survey Telescope is a challenge. Because…

Instrumentation and Methods for Astrophysics · Physics 2017-06-14 D. Tuccillo , M. Huertas-Company , E. Decenciere , S. Velasco-Forero

Probabilistic graphical models are traditionally known for their successes in generative modeling. In this work, we advocate layered graphical models (LGMs) for probabilistic discriminative learning. To this end, we design LGMs in close…

Machine Learning · Computer Science 2019-02-04 Yuesong Shen , Tao Wu , Csaba Domokos , Daniel Cremers

Deep learning is a hierarchical inference method formed by subsequent multiple layers of learning able to more efficiently describe complex relationships. In this work, Deep Gaussian Mixture Models are introduced and discussed. A Deep…

Machine Learning · Statistics 2017-11-21 Cinzia Viroli , Geoffrey J. McLachlan

Recent advances in deep learning have shown exciting promise in filling large holes and lead to another orientation for image inpainting. However, existing learning-based methods often create artifacts and fallacious textures because of…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Qingguo Xiao , Guangyao Li , Qiaochuan Chen

The Bayesian approach to solving inverse problems relies on the choice of a prior. This critical ingredient allows the formulation of expert knowledge or physical constraints in a probabilistic fashion and plays an important role for the…

Machine Learning · Statistics 2022-11-08 Manuel Marschall , Gerd Wübbeler , Franko Schmähling , Clemens Elster

A major challenge in understanding the generalization of deep learning is to explain why (stochastic) gradient descent can exploit the network architecture to find solutions that have good generalization performance when using high capacity…

Machine Learning · Computer Science 2019-02-12 Yifan Wu , Barnabas Poczos , Aarti Singh

For better classification generative models are used to initialize the model and model features before training a classifier. Typically it is needed to solve separate unsupervised and supervised learning problems. Generative restricted…

Machine Learning · Statistics 2019-08-13 Jaehoon Koo , Diego Klabjan

Understanding how deep convolutional neural networks classify data has been subject to extensive research. This paper proposes a technique to visualize and interpret intermediate layers of unsupervised deep convolutional networks by…

Sound · Computer Science 2022-04-29 Gašper Beguš , Alan Zhou

Deep learning based methods have seen a massive rise in popularity for hyperspectral image classification over the past few years. However, the success of deep learning is attributed greatly to numerous labeled samples. It is still very…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Bing Liu , Anzhu Yu , Pengqiang Zhang , Lei Ding , Wenyue Guo , Kuiliang Gao , Xibing Zuo

Deep Gaussian processes (DGPs) are multi-layer hierarchical generalisations of Gaussian processes (GPs) and are formally equivalent to neural networks with multiple, infinitely wide hidden layers. DGPs are probabilistic and non-parametric…

We present the Deep Convolutional Gaussian Mixture Model (DCGMM), a new probabilistic approach for image modeling capable of density estimation, sampling and tractable inference. DCGMM instances exhibit a CNN-like layered structure, in…

Machine Learning · Computer Science 2022-03-22 Alexander Gepperth

Deep convolutional networks have recently shown excellent performance on Fine-Grained Vehicle Classification. Based on these existing works, we consider that the back-probation algorithm does not focus on extracting less discriminative…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Zhanyu Ma , Dongliang Chang , Xiaoxu Li

Deep convolutional neural network (DCNN) based supervised learning is a widely practiced approach for large-scale image classification. However, retraining these large networks to accommodate new, previously unseen data demands high…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Syed Shakib Sarwar , Aayush Ankit , Kaushik Roy

Image classification from independent and identically distributed random variables is considered. Image classifiers are defined which are based on a linear combination of deep convolutional networks with max-pooling layer. Here all the…

Statistics Theory · Mathematics 2025-03-06 Michael Kohler , Adam Krzyzak , Alisha Sänger

Deep feedforward neural networks (DFNNs) are a powerful tool for functional approximation. We describe flexible versions of generalized linear and generalized linear mixed models incorporating basis functions formed by a DFNN. The…

Computation · Statistics 2018-05-28 Minh-Ngoc Tran , Nghia Nguyen , David Nott , Robert Kohn
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