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Deep Neural Networks (DNNs) have become very popular for prediction in many areas. Their strength is in representation with a high number of parameters that are commonly learned via gradient descent or similar optimization methods. However,…

Machine Learning · Statistics 2016-10-11 Anthony Caterini , Dong Eui Chang

Feature propagation in Deep Neural Networks (DNNs) can be associated to nonlinear discrete dynamical systems. The novelty, in this paper, lies in letting the discretization parameter (time step-size) vary from layer to layer, which needs to…

Optimization and Control · Mathematics 2022-04-20 Harbir Antil , Hugo Díaz , Evelyn Herberg

Recent studies suggest that deep learning models inductive bias towards favoring simpler features may be one of the sources of shortcut learning. Yet, there has been limited focus on understanding the complexity of the myriad features that…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Thomas Fel , Louis Bethune , Andrew Kyle Lampinen , Thomas Serre , Katherine Hermann

The remarkable performance of convolutional neural networks (CNNs) is entangled with their huge number of uninterpretable parameters, which has become the bottleneck limiting the exploitation of their full potential. Towards network…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Yuchao Li , Rongrong Ji , Shaohui Lin , Baochang Zhang , Chenqian Yan , Yongjian Wu , Feiyue Huang , Ling Shao

We make two theoretical contributions to disentanglement learning by (a) defining precise semantics of disentangled representations, and (b) establishing robust metrics for evaluation. First, we characterize the concept "disentangled…

Machine Learning · Computer Science 2021-03-22 Kien Do , Truyen Tran

This paper explains the generalization power of a deep neural network (DNN) from the perspective of interactions. Although there is no universally accepted definition of the concepts encoded by a DNN, the sparsity of interactions in a DNN…

Machine Learning · Computer Science 2024-09-16 Huilin Zhou , Hao Zhang , Huiqi Deng , Dongrui Liu , Wen Shen , Shih-Han Chan , Quanshi Zhang

Deep neural networks trained over large datasets learn features that are both generic to the whole dataset, and specific to individual classes in the dataset. Learned features tend towards generic in the lower layers and specific in the…

Machine Learning · Computer Science 2018-04-24 Edward Collier , Robert DiBiano , Supratik Mukhopadhyay

We present a new framework to measure the intrinsic properties of (deep) neural networks. While we focus on convolutional networks, our framework can be extrapolated to any network architecture. In particular, we evaluate two network…

Machine Learning · Computer Science 2022-05-10 Alberto Badias , Ashis Banerjee

This paper explores the bottleneck of feature representations of deep neural networks (DNNs), from the perspective of the complexity of interactions between input variables encoded in DNNs. To this end, we focus on the multi-order…

Machine Learning · Computer Science 2022-11-08 Huiqi Deng , Qihan Ren , Hao Zhang , Quanshi Zhang

We study neural network training (NNT): optimizing a neural network's parameters to minimize the training loss over a given dataset. NNT has been studied extensively under theoretic lenses, mainly on two-layer networks with linear or ReLU…

Machine Learning · Computer Science 2024-12-18 Ilan Doron-Arad

Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

Disordered Systems and Neural Networks · Physics 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

Knowledge distillation (KD) has proven highly effective for compressing large models and enhancing the performance of smaller ones. However, its effectiveness diminishes in cross-modal scenarios, such as vision-to-language distillation,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Junhong Liu , Yuan Zhang , Tao Huang , Wenchao Xu , Renyu Yang

The advancement of robots, particularly those functioning in complex human-centric environments, relies on control solutions that are driven by machine learning. Understanding how learning-based controllers make decisions is crucial since…

Machine Learning · Computer Science 2023-11-14 Tsun-Hsuan Wang , Wei Xiao , Tim Seyde , Ramin Hasani , Daniela Rus

Representation learning is an approach that allows to discover and extract the factors of variation from the data. Intuitively, a representation is said to be disentangled if it separates the different factors of variation in a way that is…

Machine Learning · Computer Science 2026-02-25 Antonio Almudévar , Alfonso Ortega

In deep learning, dense layer connectivity has become a key design principle in deep neural networks (DNNs), enabling efficient information flow and strong performance across a range of applications. In this work, we model densely connected…

Machine Learning · Computer Science 2025-10-03 Jinshu Huang , Haibin Su , Xue-Cheng Tai , Chunlin Wu

This paper proposes a straightforward and cost-effective approach to assess whether a deep neural network (DNN) relies on the primary concepts of training samples or simply learns discriminative, yet simple and irrelevant features that can…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Mohammad Mahdi Mehmanchi , Mahbod Nouri , Mohammad Sabokrou

During the last decade, deep neural networks (DNN) have demonstrated impressive performances solving a wide range of problems in various domains such as medicine, finance, law, etc. Despite their great performances, they have long been…

Machine Learning · Computer Science 2020-10-13 Jiechieu Kameni Florentin Flambeau , Tsopze Norbert

We propose a modularization method that decomposes a deep neural network (DNN) into small modules from a functionality perspective and recomposes them into a new model for some other task. Decomposed modules are expected to have the…

Machine Learning · Computer Science 2021-12-28 Hiroaki Kingetsu , Kenichi Kobayashi , Taiji Suzuki

Deep Neural Networks are, from a physical perspective, graphs whose `links` and `vertices` iteratively process data and solve tasks sub-optimally. We use Complex Network Theory (CNT) to represents Deep Neural Networks (DNNs) as directed…

Machine Learning · Computer Science 2022-09-14 Emanuele La Malfa , Gabriele La Malfa , Claudio Caprioli , Giuseppe Nicosia , Vito Latora

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin