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The training dynamics of hidden layers in deep learning are poorly understood in theory. Recently, the Information Plane (IP) was proposed to analyze them, which is based on the information-theoretic concept of mutual information (MI). The…

Machine Learning · Computer Science 2020-10-06 Nicolás I. Tapia , Pablo A. Estévez

The development of optimal and efficient machine learning-based communication systems is likely to be a key enabler of beyond 5G communication technologies. In this direction, physical layer design has been recently reformulated under a…

Information Theory · Computer Science 2021-11-16 Nunzio A. Letizia , Andrea M. Tonello

Deep Neural Networks (DNNs) are analyzed via the theoretical framework of the information bottleneck (IB) principle. We first show that any DNN can be quantified by the mutual information between the layers and the input and output…

Machine Learning · Computer Science 2015-03-10 Naftali Tishby , Noga Zaslavsky

The outstanding performance of deep learning in various fields has been a fundamental query, which can be potentially examined using information theory that interprets the learning process as the transmission and compression of information.…

Machine Learning · Computer Science 2021-07-28 Sungyeop Lee , Junghyo Jo

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

This work proposes an autoencoder neural network as a non-linear generalization of projection-based methods for solving Partial Differential Equations (PDEs). The proposed deep learning architecture presented is capable of generating the…

Computational Physics · Physics 2020-06-25 Jaime Lopez Garcia , Angel Rivero Jimenez

Autoencoders are certainly among the most studied and used Deep Learning models: the idea behind them is to train a model in order to reconstruct the same input data. The peculiarity of these models is to compress the information through a…

Machine Learning · Computer Science 2023-09-06 Gabriele Martino , Davide Moroni , Massimo Martinelli

Using the information theory, this study provides insights into how the construction of latent space of autoencoder (AE) using deep neural network (DNN) training finds a smooth low-dimensional manifold in the stiff dynamical system. Our…

A network supporting deep unsupervised learning is presented. The network is an autoencoder with lateral shortcut connections from the encoder to decoder at each level of the hierarchy. The lateral shortcut connections allow the higher…

Machine Learning · Statistics 2015-02-03 Harri Valpola

Numerous deep learning algorithms have been inspired by and understood via the notion of information bottleneck, where unnecessary information is (often implicitly) minimized while task-relevant information is maximized. However, a rigorous…

Machine Learning · Computer Science 2023-05-31 Kenji Kawaguchi , Zhun Deng , Xu Ji , Jiaoyang Huang

Deep Learning has been widely applied in the area of image processing and natural language processing. In this paper, we propose an end-to-end communication structure based on autoencoder where the transceiver can be optimized jointly. A…

Information Theory · Computer Science 2019-06-18 Tianjie Mu , Xiaohui Chen , Li Chen , Huarui Yin , Weidong Wang

A common technique in high energy physics is to characterize the response of a detector by means of models tunned to data which build parametric maps from the physical parameters of the system to the expected signal of the detector. When…

Instrumentation and Detectors · Physics 2022-06-29 César Jesús-Valls , Thorsten Lux , Federico Sánchez

The fact that accurately predicted information can serve as an energy source paves the way for new approaches to autonomous learning. The energy derived from a sequence of successful predictions can be recycled as an immediate incentive and…

Emerging Technologies · Computer Science 2024-07-09 Alex Ushveridze

The unification of low-level perception and high-level reasoning is a long-standing problem in artificial intelligence, which has the potential to not only bring the areas of logic and learning closer together but also demonstrate how…

Artificial Intelligence · Computer Science 2019-11-27 Anton Fuxjaeger , Vaishak Belle

Diffusion MRI is a powerful tool that serves as a bridge between brain microstructure and cognition. Recent advancements in cognitive neuroscience have highlighted the persistent challenge of understanding how individual differences in…

Neurons and Cognition · Quantitative Biology 2024-09-25 Gabriela Gómez Jiménez , Demian Wassermann

In this paper, we present an in-depth investigation of the convolutional autoencoder (CAE) bottleneck. Autoencoders (AE), and especially their convolutional variants, play a vital role in the current deep learning toolbox. Researchers and…

Machine Learning · Computer Science 2020-05-14 Ilja Manakov , Markus Rohm , Volker Tresp

Feed-forward deep neural networks have been used extensively in various machine learning applications. Developing a precise understanding of the underling behavior of neural networks is crucial for their efficient deployment. In this paper,…

Information Theory · Computer Science 2016-03-22 Pejman Khadivi , Ravi Tandon , Naren Ramakrishnan

Traditional mathematical models used in designing next-generation communication systems often fall short due to inherent simplifications, narrow scope, and computational limitations. In recent years, the incorporation of deep learning (DL)…

Signal Processing · Electrical Eng. & Systems 2025-07-14 Omar Alnaseri , Laith Alzubaidi , Yassine Himeur , Mohammed Alaa Ala'anzy , Jens Timmermann , Mohammed S. M. Gismalla

Despite their great success, there is still no comprehensive theoretical understanding of learning with Deep Neural Networks (DNNs) or their inner organization. Previous work proposed to analyze DNNs in the \textit{Information Plane}; i.e.,…

Machine Learning · Computer Science 2017-05-02 Ravid Shwartz-Ziv , Naftali Tishby

In the past decade, deep neural networks have seen unparalleled improvements that continue to impact every aspect of today's society. With the development of high performance GPUs and the availability of vast amounts of data, learning…

Machine Learning · Computer Science 2021-05-12 Mohammad Ali Alomrani
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