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In this paper, it is shown that an auto-encoder using optimal reconstruction significantly outperforms a conventional auto-encoder. Optimal reconstruction uses the conditional mean of the input given the features, under a maximum entropy…

Machine Learning · Computer Science 2021-04-16 Paul M Baggenstoss

The projected belief network (PBN) is a layered generative network (LGN) with tractable likelihood function, and is based on a feed-forward neural network (FFNN). There are two versions of the PBN: stochastic and deterministic (D-PBN), and…

Machine Learning · Computer Science 2022-04-28 Paul M Baggenstoss

Despite the widespread adoption of Backpropagation algorithm-based Deep Neural Networks, the biological infeasibility of the BP algorithm could potentially limit the evolution of new DNN models. To find a biologically plausible algorithm to…

Neural and Evolutionary Computing · Computer Science 2024-02-29 Jian-Hui Chen , Cheng-Lin Liu , Zuoren Wang

Activation functions (AF) are necessary components of neural networks that allow approximation of functions, but AFs in current use are usually simple monotonically increasing functions. In this paper, we propose trainable compound AF (TCA)…

Machine Learning · Computer Science 2022-04-28 Paul M. Baggenstoss

The projected belief network (PBN) is a generative stochastic network with tractable likelihood function based on a feed-forward neural network (FFNN). The generative function operates by "backing up" through the FFNN. The PBN is two…

Machine Learning · Computer Science 2024-01-23 Paul M. Baggenstoss , Kevin Wilkinghoff , Felix Govaers , Frank Kurth

Deep Learning has a hierarchical network architecture to represent the complicated feature of input patterns. The adaptive structural learning method of Deep Belief Network (DBN) has been developed. The method can discover an optimal number…

Neural and Evolutionary Computing · Computer Science 2018-08-28 Shin Kamada , Takumi Ichimura , Toshihide Harada

The projected belief network (PBN) is a layered generative network with tractable likelihood function, and is based on a feed-forward neural network (FF-NN). It can therefore share an embodiment with a discriminative classifier and can…

Machine Learning · Statistics 2020-08-17 Paul M Baggenstoss

Deep-predictive-coding networks (DPCNs) are hierarchical, generative models. They rely on feed-forward and feed-back connections to modulate latent feature representations of stimuli in a dynamic and context-sensitive manner. A crucial…

Artificial Intelligence · Computer Science 2021-09-27 Isaac J. Sledge , Jose C. Principe

Pretraining is widely used in deep neutral network and one of the most famous pretraining models is Deep Belief Network (DBN). The optimization formulas are different during the pretraining process for different pretraining models. In this…

Neural and Evolutionary Computing · Computer Science 2016-06-03 Zhen Hu , Zhuyin Xue , Tong Cui , Shiqiang Zong , Chenglong He

Principal Component Analysis (PCA) minimizes the reconstruction error given a class of linear models of fixed component dimensionality. Probabilistic PCA adds a probabilistic structure by learning the probability distribution of the PCA…

Machine Learning · Computer Science 2022-09-20 Vanessa Böhm , Uroš Seljak

We propose to exploit {\em reconstruction} as a layer-local training signal for deep learning. Reconstructions can be propagated in a form of target propagation playing a role similar to back-propagation but helping to reduce the reliance…

Machine Learning · Computer Science 2014-09-19 Yoshua Bengio

An autoencoder is a neural network which data projects to and from a lower dimensional latent space, where this data is easier to understand and model. The autoencoder consists of two sub-networks, the encoder and the decoder, which carry…

Computer Vision and Pattern Recognition · Computer Science 2019-04-03 Saïd Ladjal , Alasdair Newson , Chi-Hieu Pham

Deep dynamic generative models are developed to learn sequential dependencies in time-series data. The multi-layered model is designed by constructing a hierarchy of temporal sigmoid belief networks (TSBNs), defined as a sequential stack of…

Machine Learning · Statistics 2015-09-24 Zhe Gan , Chunyuan Li , Ricardo Henao , David Carlson , Lawrence Carin

Deep Learning has the hierarchical network architecture to represent the complicated features of input patterns. Such architecture is well known to represent higher learning capability compared with some conventional models if the best set…

Neural and Evolutionary Computing · Computer Science 2018-07-12 Takumi Ichimura , Shin Kamada

In this paper we introduce the deep kernelized autoencoder, a neural network model that allows an explicit approximation of (i) the mapping from an input space to an arbitrary, user-specified kernel space and (ii) the back-projection from…

Machine Learning · Statistics 2017-02-09 Michael Kampffmeyer , Sigurd Løkse , Filippo Maria Bianchi , Robert Jenssen , Lorenzo Livi

Deep belief networks (DBNs) are stochastic neural networks that can extract rich internal representations of the environment from the sensory data. DBNs had a catalytic effect in triggering the deep learning revolution, demonstrating for…

Machine Learning · Computer Science 2024-02-08 Matteo Zambra , Alberto Testolin , Marco Zorzi

Twisted Convolutional Networks (TCNs) are proposed as a novel deep learning architecture for classifying one-dimensional data with arbitrary feature order and minimal spatial relationships. Unlike conventional Convolutional Neural Networks…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Junbo Jacob Lian , Haoran Chen , Kaichen Ouyang , Yujun Zhang , Rui Zhong , Huiling Chen

The Distributional Principal Autoencoder (DPA) combines distributionally correct reconstruction with principal-component-like interpretability of the encodings. In this work, we provide exact theoretical guarantees on both fronts. First, we…

Machine Learning · Statistics 2026-05-14 Andrej Leban

Nowadays, this is very popular to use the deep architectures in machine learning. Deep Belief Networks (DBNs) are deep architectures that use stack of Restricted Boltzmann Machines (RBM) to create a powerful generative model using training…

Computer Vision and Pattern Recognition · Computer Science 2016-01-07 Mohammad Ali Keyvanrad , Mohammad Mehdi Homayounpour

Probabilistic circuits (PCs) are powerful probabilistic models that enable exact and tractable inference, making them highly suitable for probabilistic reasoning and inference tasks. While dominant in neural networks, representation…

Machine Learning · Computer Science 2025-07-29 Steven Braun , Sahil Sidheekh , Antonio Vergari , Martin Mundt , Sriraam Natarajan , Kristian Kersting
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