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We present an architecture which lets us train deep, directed generative models with many layers of latent variables. We include deterministic paths between all latent variables and the generated output, and provide a richer set of…

Machine Learning · Computer Science 2016-12-15 Philip Bachman

The empirical success of deep learning is often attributed to deep networks' ability to exploit hierarchical structure in data, constructing increasingly complex features across layers. Yet despite substantial progress in deep learning…

Machine Learning · Computer Science 2026-01-28 Yunwei Ren , Yatin Dandi , Florent Krzakala , Jason D. Lee

Deep neural network algorithms are difficult to analyze because they lack structure allowing to understand the properties of underlying transforms and invariants. Multiscale hierarchical convolutional networks are structured deep…

Machine Learning · Computer Science 2017-03-14 Jörn-Henrik Jacobsen , Edouard Oyallon , Stéphane Mallat , Arnold W. M. Smeulders

Deep learning algorithms demonstrate a surprising ability to learn high-dimensional tasks from limited examples. This is commonly attributed to the depth of neural networks, enabling them to build a hierarchy of abstract, low-dimensional…

Machine Learning · Computer Science 2024-07-04 Francesco Cagnetta , Leonardo Petrini , Umberto M. Tomasini , Alessandro Favero , Matthieu Wyart

Learning both hierarchical and temporal representation has been among the long-standing challenges of recurrent neural networks. Multiscale recurrent neural networks have been considered as a promising approach to resolve this issue, yet…

Machine Learning · Computer Science 2017-03-10 Junyoung Chung , Sungjin Ahn , Yoshua Bengio

Apart from discriminative models for classification and object detection tasks, the application of deep convolutional neural networks to basic research utilizing natural imaging data has been somewhat limited; particularly in cases where a…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 R. Ian Etheredge , Manfred Schartl , Alex Jordan

Neural memory enables fast adaptation to new tasks with just a few training samples. Existing memory models store features only from the single last layer, which does not generalize well in presence of a domain shift between training and…

Machine Learning · Computer Science 2022-04-21 Yingjun Du , Xiantong Zhen , Ling Shao , Cees G. M. Snoek

Training deep feature hierarchies to solve supervised learning tasks has achieved state of the art performance on many problems in computer vision. However, a principled way in which to train such hierarchies in the unsupervised setting has…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 Ross Goroshin , Michael Mathieu , Yann LeCun

One of the central questions in the theory of deep learning is to understand how neural networks learn hierarchical features. The ability of deep networks to extract salient features is crucial to both their outstanding generalization…

Machine Learning · Computer Science 2025-04-03 Eshaan Nichani , Alex Damian , Jason D. Lee

A large amount of research on Convolutional Neural Networks has focused on flat Classification in the multi-class domain. In the real world, many problems are naturally expressed as problems of hierarchical classification, in which the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

This paper studies the fundamental problem of multi-layer generator models in learning hierarchical representations. The multi-layer generator model that consists of multiple layers of latent variables organized in a top-down architecture…

Machine Learning · Computer Science 2023-10-17 Jiali Cui , Ying Nian Wu , Tian Han

With the tremendous success of deep learning in visual tasks, the representations extracted from intermediate layers of learned models, that is, deep features, attract much attention of researchers. Previous empirical analysis shows that…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Qi Qian , Juhua Hu , Hao Li

We propose a novel hierarchical generative model with a simple Markovian structure and a corresponding inference model. Both the generative and inference model are trained using the adversarial learning paradigm. We demonstrate that the…

Generative Adversarial Networks (GANs) have recently advanced image synthesis by learning the underlying distribution of the observed data. However, how the features learned from solving the task of image generation are applicable to other…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Yinghao Xu , Yujun Shen , Jiapeng Zhu , Ceyuan Yang , Bolei Zhou

It is argued that deep learning is efficient for data that is generated from hierarchal generative models. Examples of such generative models include wavelet scattering networks, functions of compositional structure, and deep rendering…

Machine Learning · Computer Science 2018-09-06 Elchanan Mossel

Deep Boltzmann machines are in principle powerful models for extracting the hierarchical structure of data. Unfortunately, attempts to train layers jointly (without greedy layer-wise pretraining) have been largely unsuccessful. We propose a…

Machine Learning · Statistics 2012-12-19 Grégoire Montavon , Klaus-Robert Müller

Generative adversarial networks (GANs) are deep neural networks that allow us to sample from an arbitrary probability distribution without explicitly estimating the distribution. There is a generator that takes a latent vector as input and…

Machine Learning · Computer Science 2021-06-22 Alper Ahmetoğlu , Ethem Alpaydın

Neural networks outperform kernel methods, sometimes by orders of magnitude, e.g. on staircase functions. This advantage stems from the ability of neural networks to learn features, adapting their hidden representations to better capture…

Machine Learning · Computer Science 2025-07-29 Niclas Alexander Göring , Charles London , Abdurrahman Hadi Erturk , Chris Mingard , Yoonsoo Nam , Ard A. Louis

Recent work has shown that recurrent neural networks (RNNs) can implicitly capture and exploit hierarchical information when trained to solve common natural language processing tasks such as language modeling (Linzen et al., 2016) and…

Computation and Language · Computer Science 2018-08-29 Ke Tran , Arianna Bisazza , Christof Monz

Hierarchical feature learning based on convolutional neural networks (CNN) has recently shown significant potential in various computer vision tasks. While allowing high-quality discriminative feature learning, the downside of CNNs is the…

Computer Vision and Pattern Recognition · Computer Science 2016-09-14 Domen Tabernik , Matej Kristan , Jeremy L. Wyatt , Aleš Leonardis
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