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Related papers: Emergence of hierarchical modes from deep learning

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In this paper we study the problem of learning the weights of a deep convolutional neural network. We consider a network where convolutions are carried out over non-overlapping patches with a single kernel in each layer. We develop an…

Machine Learning · Computer Science 2018-05-18 Samet Oymak , Mahdi Soltanolkotabi

The escalating parameter counts in modern deep learning models pose a fundamental challenge to efficient training and resolution of overfitting. We address this by introducing the \emph{Mapping Networks} which replace the high dimensional…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Lord Sen , Shyamapada Mukherjee

Advancements in artificial intelligence call for a deeper understanding of the fundamental mechanisms underlying deep learning. In this work, we propose a theoretical framework to analyze learning dynamics through the lens of dynamical…

Machine Learning · Computer Science 2025-10-13 Yuchen Lin , Yong Zhang , Sihan Feng , Hong Zhao

Deep learning has achieved impressive prediction accuracies in a variety of scientific and industrial domains. However, the nested non-linear feature of deep learning makes the learning highly non-transparent, i.e., it is still unknown how…

Machine Learning · Computer Science 2020-10-26 Chan Li , Haiping Huang

Neural networks are powerful models that solve a variety of complex real-world problems. However, the stochastic nature of training and large number of parameters in a typical neural model makes them difficult to evaluate via inspection.…

Machine Learning · Computer Science 2021-04-22 John Clemens

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

Deep learning models are trained and deployed in multiple domains. Increasing usage of deep learning models alarms the usage of memory consumed while computation by deep learning models. Existing approaches for reducing memory consumption…

Machine Learning · Computer Science 2021-10-25 Mahendran N

We propose a dynamical neural network model with a hierarchical and modular structure. The network architecture can be derived by minimizing an energy function that is originally designed based on two kinds of neurons with quite different…

Neurons and Cognition · Quantitative Biology 2026-04-14 Kazuyoshi Tsutsumi , Ernst Niebur

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

Many types of data from fields including natural language processing, computer vision, and bioinformatics, are well represented by discrete, compositional structures such as trees, sequences, or matchings. Latent structure models are a…

Machine Learning · Computer Science 2026-02-04 Vlad Niculae , Caio F. Corro , Nikita Nangia , Tsvetomila Mihaylova , André F. T. Martins

Learning predictive models for unlabeled spatiotemporal data is challenging in part because visual dynamics can be highly entangled in real scenes, making existing approaches prone to overfit partial modes of physical processes while…

Machine Learning · Computer Science 2021-10-14 Zhiyu Yao , Yunbo Wang , Haixu Wu , Jianmin Wang , Mingsheng Long

It is commonly believed that the hidden layers of deep neural networks (DNNs) attempt to extract informative features for learning tasks. In this paper, we formalize this intuition by showing that the features extracted by DNN coincide with…

Information Theory · Computer Science 2019-05-17 Shao-Lun Huang , Xiangxiang Xu , Lizhong Zheng , Gregory W. Wornell

Humans can make predictions on various time scales and hierarchical levels. Thereby, the learning of event encodings seems to play a crucial role. In this work we model the development of hierarchical predictions via autonomously learned…

Machine Learning · Computer Science 2022-08-30 Christian Gumbsch , Maurits Adam , Birgit Elsner , Georg Martius , Martin V. Butz

We propose a general framework called Network Dissection for quantifying the interpretability of latent representations of CNNs by evaluating the alignment between individual hidden units and a set of semantic concepts. Given any CNN model,…

Computer Vision and Pattern Recognition · Computer Science 2017-04-20 David Bau , Bolei Zhou , Aditya Khosla , Aude Oliva , Antonio Torralba

Modern neural network architectures for large-scale learning tasks have substantially higher model complexities, which makes understanding, visualizing and training these architectures difficult. Recent contributions to deep learning…

Machine Learning · Computer Science 2024-10-30 Jayadeva , Himanshu Pant , Mayank Sharma , Abhimanyu Dubey , Sumit Soman , Suraj Tripathi , Sai Guruju , Nihal Goalla

Understanding the dynamics of neural networks in different width regimes is crucial for improving their training and performance. We present an exact solution for the learning dynamics of a one-hidden-layer linear network, with…

Machine Learning · Computer Science 2025-02-24 Yizhou Xu , Liu Ziyin

We propose a method combining relational-logic representations with neural network learning. A general lifted architecture, possibly reflecting some background domain knowledge, is described through relational rules which may be handcrafted…

Artificial Intelligence · Computer Science 2015-10-14 Gustav Sourek , Vojtech Aschenbrenner , Filip Zelezny , Ondrej Kuzelka

Neural networks have been successfully used for classification tasks in a rapidly growing number of practical applications. Despite their popularity and widespread use, there are still many aspects of training and classification that are…

Machine Learning · Computer Science 2016-05-03 Ewout van den Berg

An evolving area of research in deep learning is the study of architectures and inductive biases that support the learning of relational feature representations. In this paper, we address the challenge of learning representations of…

Machine Learning · Computer Science 2024-09-30 Awni Altabaa , John Lafferty

Existing convolution techniques in artificial neural networks suffer from huge computation complexity, while the biological neural network works in a much more powerful yet efficient way. Inspired by the biological plasticity of dendritic…

Computer Vision and Pattern Recognition · Computer Science 2023-01-16 Rongzhen Zhao , Zhenzhi Wu , Qikun Zhang