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This paper aims to theoretically analyze the complexity of feature transformations encoded in piecewise linear DNNs with ReLU layers. We propose metrics to measure three types of complexities of transformations based on the information…

Machine Learning · Computer Science 2022-07-26 Jie Ren , Mingjie Li , Meng Zhou , Shih-Han Chan , Quanshi Zhang

We define a notion of complexity, which quantifies the nonlinearity of the computation of a neural network, as well as a complementary measure of the effective dimension of feature representations. We investigate these observables both for…

Machine Learning · Computer Science 2021-03-18 Romuald A. Janik , Przemek Witaszczyk

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

Previous literature suggests that perceptual similarity is an emergent property shared across deep visual representations. Experiments conducted on a dataset of human-judged image distortions have proven that deep features outperform…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Simone Bianco , Luigi Celona , Paolo Napoletano

Redundancy in deep neural network (DNN) models has always been one of their most intriguing and important properties. DNNs have been shown to overparameterize, or extract a lot of redundant features. In this work, we explore the impact of…

Machine Learning · Computer Science 2019-01-31 Babajide O. Ayinde , Tamer Inanc , Jacek M. Zurada

Neural Disjunctive Normal Form (DNF) based models are powerful and interpretable approaches to neuro-symbolic learning and have shown promising results in classification and reinforcement learning settings without prior knowledge of the…

Machine Learning · Computer Science 2025-08-04 Kexin Gu Baugh , Vincent Perreault , Matthew Baugh , Luke Dickens , Katsumi Inoue , Alessandra Russo

Deep Neural Networks (DNNs) can be represented as graphs whose links and vertices iteratively process data and solve tasks sub-optimally. Complex Network Theory (CNT), merging statistical physics with graph theory, provides a method for…

Machine Learning · Computer Science 2024-04-19 Emanuele La Malfa , Gabriele La Malfa , Giuseppe Nicosia , Vito Latora

A robust theoretical framework that can describe and predict the generalization ability of deep neural networks (DNNs) in general circumstances remains elusive. Classical attempts have produced complexity metrics that rely heavily on global…

Machine Learning · Computer Science 2020-01-20 Marelie H. Davel , Marthinus W. Theunissen , Arnold M. Pretorius , Etienne Barnard

This paper presents a method to explain how the information of each input variable is gradually discarded during the forward propagation in a deep neural network (DNN), which provides new perspectives to explain DNNs. We define two types of…

Machine Learning · Computer Science 2022-06-14 Haotian Ma , Hao Zhang , Fan Zhou , Yinqing Zhang , Quanshi Zhang

In this paper, we interpret Deep Neural Networks with Complex Network Theory. Complex Network Theory (CNT) represents Deep Neural Networks (DNNs) as directed weighted graphs to study them as dynamical systems. We efficiently adapt CNT…

Machine Learning · Computer Science 2021-10-19 Emanuele La Malfa , Gabriele La Malfa , Giuseppe Nicosia , Vito Latora

Compared to traditional learning from scratch, knowledge distillation sometimes makes the DNN achieve superior performance. This paper provides a new perspective to explain the success of knowledge distillation, i.e., quantifying knowledge…

Machine Learning · Computer Science 2022-08-19 Quanshi Zhang , Xu Cheng , Yilan Chen , Zhefan Rao

The vulnerability to slight input perturbations is a worrying yet intriguing property of deep neural networks (DNNs). Despite many previous works studying the reason behind such adversarial behavior, the relationship between the…

Machine Learning · Statistics 2019-06-07 Yujun Shi , Benben Liao , Guangyong Chen , Yun Liu , Ming-Ming Cheng , Jiashi Feng

The purpose of feature extraction on convolutional neural networks is to reuse deep representations learnt for a pre-trained model to solve a new, potentially unrelated problem. However, raw feature extraction from all layers is unfeasible…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Victor Gimenez-Abalos , Armand Vilalta , Dario Garcia-Gasulla , Jesus Labarta , Eduard Ayguadé

Graph Neural Networks (GNNs) are widely adopted in advanced AI systems due to their capability of representation learning on graph data. Even though GNN explanation is crucial to increase user trust in the systems, it is challenging due to…

Machine Learning · Computer Science 2022-08-08 Tien-Cuong Bui , Wen-syan Li , Sang-Kyun Cha

This paper presents a method to interpret the success of knowledge distillation by quantifying and analyzing task-relevant and task-irrelevant visual concepts that are encoded in intermediate layers of a deep neural network (DNN). More…

Machine Learning · Computer Science 2020-03-26 Xu Cheng , Zhefan Rao , Yilan Chen , Quanshi Zhang

In an ever expanding set of research and application areas, deep neural networks (DNNs) set the bar for algorithm performance. However, depending upon additional constraints such as processing power and execution time limits, or…

Machine Learning · Computer Science 2021-06-22 Nathan Dahlin , Krishna Chaitanya Kalagarla , Nikhil Naik , Rahul Jain , Pierluigi Nuzzo

One of the main motivations of MTL is to develop neural networks capable of inferring multiple tasks simultaneously. While countless methods have been proposed in the past decade investigating robust model architectures and efficient…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Dayou Mao , Yuhao Chen , Yifan Wu , Maximilian Gilles , Alexander Wong

Recent years have seen growing interest in learning disentangled representations, in which distinct features, such as size or shape, are represented by distinct neurons. Quantifying the extent to which a given representation is disentangled…

Machine Learning · Computer Science 2023-04-06 Louis Mahon , Lei Shah , Thomas Lukasiewicz

Domain Generalization (DG) is a fundamental challenge for machine learning models, which aims to improve model generalization on various domains. Previous methods focus on generating domain invariant features from various source domains.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-22 Daoan Zhang , Mingkai Chen , Chenming Li , Lingyun Huang , Jianguo Zhang

The behavior of neural networks still remains opaque, and a recently widely noted phenomenon is that networks often achieve similar performance when initialized with different random parameters. This phenomenon has attracted significant…

Machine Learning · Computer Science 2023-11-28 Yiting Chen , Zhanpeng Zhou , Junchi Yan
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