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Our theoretical understanding of deep learning has not kept pace with its empirical success. While network architecture is known to be critical, we do not yet understand its effect on learned representations and network behavior, or how…

Machine Learning · Computer Science 2022-07-22 Andrew M. Saxe , Shagun Sodhani , Sam Lewallen

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

Machine Learning · Computer Science 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

Randomized Neural Networks explore the behavior of neural systems where the majority of connections are fixed, either in a stochastic or a deterministic fashion. Typical examples of such systems consist of multi-layered neural network…

Machine Learning · Computer Science 2021-02-03 Claudio Gallicchio , Simone Scardapane

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

We scrutinize the structural and operational aspects of deep learning models, particularly focusing on the nuances of learnable parameters (weight) statistics, distribution, node interaction, and visualization. By establishing correlations…

Machine Learning · Computer Science 2024-08-22 Ziwei Zheng , Huizhi Liang , Vaclav Snasel , Vito Latora , Panos Pardalos , Giuseppe Nicosia , Varun Ojha

There is some theoretical evidence that deep neural networks with multiple hidden layers have a potential for more efficient representation of multidimensional mappings than shallow networks with a single hidden layer. The question is…

Machine Learning · Computer Science 2019-10-08 Bernhard Bermeitinger , Tomas Hrycej , Siegfried Handschuh

Why and how that deep learning works well on different tasks remains a mystery from a theoretical perspective. In this paper we draw a geometric picture of the deep learning system by finding its analogies with two existing geometric…

Machine Learning · Computer Science 2017-10-31 Xiao Dong , Jiasong Wu , Ling Zhou

Theoretical and empirical evidence indicates that the depth of neural networks is crucial for their success. However, training becomes more difficult as depth increases, and training of very deep networks remains an open problem. Here we…

Machine Learning · Computer Science 2015-11-24 Rupesh Kumar Srivastava , Klaus Greff , Jürgen Schmidhuber

It is now a standard for neural network representations to be trained on large, publicly available datasets, and used for new problems. The reasons for why neural network representations have been so successful for transfer, however, are…

Machine Learning · Computer Science 2022-09-20 Ehsan Imani , Wei Hu , Martha White

Deep networks, composed of multiple layers of hierarchical distributed representations, tend to learn low-level features in initial layers and transition to high-level features towards final layers. Paradigms such as transfer learning,…

Machine Learning · Computer Science 2018-11-30 Haytham M. Fayek , Lawrence Cavedon , Hong Ren Wu

Deep learning models develop successive representations of their input in sequential layers, the last of which maps the final representation to the output. Here we investigate the informational content of these representations by observing…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Benjamin L. Badger

Ensembling neural networks is an effective way to increase accuracy, and can often match the performance of individual larger models. This observation poses a natural question: given the choice between a deep ensemble and a single neural…

Machine Learning · Computer Science 2022-10-14 Taiga Abe , E. Kelly Buchanan , Geoff Pleiss , Richard Zemel , John P. Cunningham

Constructing the architecture of a neural network is a challenging pursuit for the machine learning community, and the dilemma of whether to go deeper or wider remains a persistent question. This paper explores a comparison between deeper…

Machine Learning · Computer Science 2026-01-21 Yahong Yang , Juncai He

Neural networks posses the crucial ability to generate meaningful representations of task-dependent features. Indeed, with appropriate scaling, supervised learning in neural networks can result in strong, task-dependent feature learning.…

Machine Learning · Computer Science 2025-05-13 Alexander van Meegen , Haim Sompolinsky

Current research has found that some deep neural networks exhibit strong hierarchical self-similarity in feature representation or parameter distribution. However, aside from preliminary studies on how the power-law distribution of weights…

Machine Learning · Computer Science 2025-07-25 Jingyi Ding , Chengwen Qi , Hongfei Wang , Jianshe Wu , Licheng Jiao , Yuwei Guo , Jian Gao

Can deep learning solve multiple tasks simultaneously, even when they are unrelated and very different? We investigate how the representations of the underlying tasks affect the ability of a single neural network to learn them jointly. We…

Machine Learning · Computer Science 2021-03-30 Atish Agarwala , Abhimanyu Das , Brendan Juba , Rina Panigrahy , Vatsal Sharan , Xin Wang , Qiuyi Zhang

Representation learning, and interpreting learned representations, are key areas of focus in machine learning and neuroscience. Both fields generally use representations as a means to understand or improve a system's computations. In this…

Machine Learning · Computer Science 2024-09-24 Andrew Kyle Lampinen , Stephanie C. Y. Chan , Katherine Hermann

Artificial intelligence, particularly the subfield of machine learning, has seen a paradigm shift towards data-driven models that learn from and adapt to data. This has resulted in unprecedented advancements in various domains such as…

Machine Learning · Computer Science 2023-10-26 Leonardo Petrini

Graph neural networks (GNNs) learn representations from network data with naturally distributed architectures, rendering them well-suited candidates for decentralized learning. Oftentimes, this decentralized graph support changes with time…

Machine Learning · Computer Science 2020-10-27 Zhan Gao , Fernando Gama , Alejandro Ribeiro

Deep Neural Networks (DNNs) rely on inherent fluctuations in their internal parameters (weights and biases) to effectively navigate the complex optimization landscape and achieve robust performance. While these fluctuations are recognized…

Machine Learning · Computer Science 2025-11-14 Darsh Pareek , Umesh Kumar , Ruthu Rao , Ravi Janjam