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In this paper, we formalize the idea behind capsule nets of using a capsule vector rather than a neuron activation to predict the label of samples. To this end, we propose to learn a group of capsule subspaces onto which an input feature…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Liheng Zhang , Marzieh Edraki , Guo-Jun Qi

Capsule networks are constrained by the parameter-expensive nature of their layers, and the general lack of provable equivariance guarantees. We present a variation of capsule networks that aims to remedy this. We identify that learning all…

Machine Learning · Computer Science 2019-09-27 Sairaam Venkatraman , S. Balasubramanian , R. Raghunatha Sarma

In this paper, we employ variational arguments to establish a connection between ensemble methods for Neural Networks and Bayesian inference. We consider an ensemble-based scheme where each model/particle corresponds to a perturbation of…

Machine Learning · Computer Science 2020-06-09 Dimitrios Milios , Pietro Michiardi , Maurizio Filippone

Estimating causal effects from observational data (at either an individual -- or a population -- level) is critical for making many types of decisions. One approach to address this task is to learn decomposed representations of the…

Machine Learning · Computer Science 2021-11-15 Negar Hassanpour , Russell Greiner

Recurrent feedback connections in the mammalian visual system have been hypothesized to play a role in synthesizing input in the theoretical framework of analysis by synthesis. The comparison of internally synthesized representation with…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Hao Wang , Xingyu Lin , Yimeng Zhang , Tai Sing Lee

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

Machine Learning · Computer Science 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang

Capsule networks are a recently developed class of neural networks that potentially address some of the deficiencies with traditional convolutional neural networks. By replacing the standard scalar activations with vectors, and by…

Machine Learning · Computer Science 2020-01-30 Arjun Punjabi , Jonas Schmid , Aggelos K. Katsaggelos

Statistical learning relies upon data sampled from a distribution, and we usually do not care what actually generated it in the first place. From the point of view of causal modeling, the structure of each distribution is induced by…

Machine Learning · Computer Science 2018-09-11 Giambattista Parascandolo , Niki Kilbertus , Mateo Rojas-Carulla , Bernhard Schölkopf

We propose a probabilistic generative model for unsupervised learning of structured, interpretable, object-based representations of visual scenes. We use amortized variational inference to train the generative model end-to-end. The learned…

Machine Learning · Computer Science 2019-09-30 Andrea Dittadi , Ole Winther

Finding an interpretable non-redundant representation of real-world data is one of the key problems in Machine Learning. Biological neural networks are known to solve this problem quite well in unsupervised manner, yet unsupervised…

Machine Learning · Computer Science 2020-10-13 Denis Kuzminykh , Laida Kushnareva , Timofey Grigoryev , Alexander Zatolokin

Generative adversarial networks (GANs) have given us a great tool to fit implicit generative models to data. Implicit distributions are ones we can sample from easily, and take derivatives of samples with respect to model parameters. These…

Machine Learning · Statistics 2017-02-28 Ferenc Huszár

We train generative 'up-convolutional' neural networks which are able to generate images of objects given object style, viewpoint, and color. We train the networks on rendered 3D models of chairs, tables, and cars. Our experiments show that…

Computer Vision and Pattern Recognition · Computer Science 2017-08-04 Alexey Dosovitskiy , Jost Tobias Springenberg , Maxim Tatarchenko , Thomas Brox

Learning visual representations with self-supervised learning has become popular in computer vision. The idea is to design auxiliary tasks where labels are free to obtain. Most of these tasks end up providing data to learn specific kinds of…

Computer Vision and Pattern Recognition · Computer Science 2017-08-16 Xiaolong Wang , Kaiming He , Abhinav Gupta

Attribution methods are primarily designed to study input component contributions to individual model predictions. However, some research applications require a summary of attribution patterns across the entire dataset to facilitate the…

Machine Learning · Computer Science 2025-07-15 Pierre Lelièvre , Chien-Chung Chen

Capsule networks (CapsNets) are new neural networks that classify images based on the spatial relationships of features. By analyzing the pose of features and their relative positions, it is more capable to recognize images after affine…

Computer Vision and Pattern Recognition · Computer Science 2022-03-02 Jiazhu Dai , Siwei Xiong

In this paper, we investigate a new framework for image classification that adaptively generates spatial representations. Our strategy is based on a sequential process that learns to explore the different regions of any image in order to…

Computer Vision and Pattern Recognition · Computer Science 2014-02-12 Gabriel Dulac-Arnold , Ludovic Denoyer , Nicolas Thome , Matthieu Cord , Patrick Gallinari

We present Generative Adversarial Capsule Network (CapsuleGAN), a framework that uses capsule networks (CapsNets) instead of the standard convolutional neural networks (CNNs) as discriminators within the generative adversarial network (GAN)…

Machine Learning · Statistics 2018-10-03 Ayush Jaiswal , Wael AbdAlmageed , Yue Wu , Premkumar Natarajan

In this paper, we propose a capsule-based neural network model to solve the semantic segmentation problem. By taking advantage of the extractable part-whole dependencies available in capsule layers, we derive the probabilities of the class…

Computer Vision and Pattern Recognition · Computer Science 2020-07-17 Tao Sun , Zhewei Wang , C. D. Smith , Jundong Liu

Generative Bayesian Computation (GBC) methods are developed for Casual Inference. Generative methods are simulation-based methods that use a large training dataset to represent posterior distributions as a map (a.k.a. optimal transport) to…

Methodology · Statistics 2024-12-25 Maria Nareklishvili , Nicholas Polson , Vadim Sokolov

Convolutional neural networks have been shown to develop internal representations, which correspond closely to semantically meaningful objects and parts, although trained solely on class labels. Class Activation Mapping (CAM) is a recent…

Computer Vision and Pattern Recognition · Computer Science 2016-05-26 Amir Rosenfeld , Shimon Ullman
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