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Understanding what kinds of cooperative structures deep neural networks (DNNs) can represent remains a fundamental yet insufficiently understood problem. In this work, we treat interactions as the fundamental units of such structure and…

Machine Learning · Computer Science 2025-12-23 Huiqi Deng , Qihan Ren , Zhuofan Chen , Zhenyuan Cui , Wen Shen , Peng Zhang , Hongbin Pei , Quanshi Zhang

Graph neural networks (GNNs) rely mainly on the message-passing paradigm to propagate node features and build interactions, and different graph learning problems require different ranges of node interactions. In this work, we explore the…

Machine Learning · Computer Science 2026-01-08 Fang Wu , Siyuan Li , Stan Z. Li

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

In this paper, we find that the complexity of interactions encoded by a deep neural network (DNN) can explain its generalization power. We also discover that the confusing samples of a DNN, which are represented by non-generalizable…

Machine Learning · Computer Science 2025-02-13 Junpeng Zhang , Lei Cheng , Qing Li , Liang Lin , Quanshi Zhang

Visual scene understanding often requires the processing of human-object interactions. Here we seek to explore if and how well Deep Neural Network (DNN) models capture features similar to the brain's representation of humans, objects, and…

Neurons and Cognition · Quantitative Biology 2019-11-07 Aditi Jha , Sumeet Agarwal

In this theory paper, we investigate training deep neural networks (DNNs) for classification via minimizing the information bottleneck (IB) functional. We show that the resulting optimization problem suffers from two severe issues: First,…

Machine Learning · Computer Science 2020-08-10 Rana Ali Amjad , Bernhard C. Geiger

Deep neural networks (DNNs) transform stimuli across multiple processing stages to produce representations that can be used to solve complex tasks, such as object recognition in images. However, a full understanding of how they achieve this…

Neurons and Cognition · Quantitative Biology 2018-11-01 David G. T. Barrett , Ari S. Morcos , Jakob H. Macke

Compact neural networks are essential for affordable and power efficient deep learning solutions. Binary Neural Networks (BNNs) take compactification to the extreme by constraining both weights and activations to two levels, $\{+1, -1\}$.…

Machine Learning · Computer Science 2020-06-16 Vishnu Raj , Nancy Nayak , Sheetal Kalyani

This paper aims to explain how a deep neural network (DNN) gradually extracts new knowledge and forgets noisy features through layers in forward propagation. Up to now, although the definition of knowledge encoded by the DNN has not reached…

Machine Learning · Computer Science 2024-09-16 Xu Cheng , Lei Cheng , Zhaoran Peng , Yang Xu , Tian Han , Quanshi Zhang

This paper aims to explain deep neural networks (DNNs) from the perspective of multivariate interactions. In this paper, we define and quantify the significance of interactions among multiple input variables of the DNN. Input variables with…

Machine Learning · Computer Science 2021-02-04 Hao Zhang , Yichen Xie , Longjie Zheng , Die Zhang , Quanshi Zhang

This paper investigates the dynamics of a deep neural network (DNN) learning interactions. Previous studies have discovered and mathematically proven that given each input sample, a well-trained DNN usually only encodes a small number of…

Machine Learning · Computer Science 2024-05-17 Junpeng Zhang , Qing Li , Liang Lin , Quanshi Zhang

Deep neural networks (DNNs) have demonstrated impressive performance on a wide array of tasks, but they are usually considered opaque since internal structure and learned parameters are not interpretable. In this paper, we re-examine the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-21 Yinpeng Dong , Hang Su , Jun Zhu , Fan Bao

This paper aims to analyze the generalization power of deep neural networks (DNNs) from the perspective of interactions. Unlike previous analysis of a DNN's generalization power in a highdimensional feature space, we find that the…

Machine Learning · Computer Science 2025-02-17 Lei Cheng , Junpeng Zhang , Qihan Ren , Quanshi Zhang

This study proves the two-phase dynamics of a deep neural network (DNN) learning interactions. Despite the long disappointing view of the faithfulness of post-hoc explanation of a DNN, a series of theorems have been proven in recent years…

Machine Learning · Computer Science 2024-11-26 Qihan Ren , Junpeng Zhang , Yang Xu , Yue Xin , Dongrui Liu , Quanshi Zhang

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

Faithfully summarizing the knowledge encoded by a deep neural network (DNN) into a few symbolic primitive patterns without losing much information represents a core challenge in explainable AI. To this end, Ren et al. (2024) have derived a…

Machine Learning · Computer Science 2024-09-16 Lu Chen , Siyu Lou , Benhao Huang , Quanshi Zhang

DNNs have gained widespread adoption in feature interaction recommendation models. However, there has been a longstanding debate on their roles. On one hand, some works claim that DNNs possess the ability to implicitly capture high-order…

Machine Learning · Computer Science 2026-04-30 Jiancheng Wang , Mingjia Yin , Hao Wang , Enhong Chen

Representation learning, i.e. the generation of representations useful for downstream applications, is a task of fundamental importance that underlies much of the success of deep neural networks (DNNs). Recently, robustness to adversarial…

Machine Learning · Computer Science 2022-09-16 Christian Cianfarani , Arjun Nitin Bhagoji , Vikash Sehwag , Ben Y. Zhao , Prateek Mittal , Haitao Zheng

Deep Neural Nets (DNNs) learn latent representations induced by their downstream task, objective function, and other parameters. The quality of the learned representations impacts the DNN's generalization ability and the coherence of the…

Machine Learning · Computer Science 2024-02-13 Nir Weingarten , Zohar Yakhini , Moshe Butman , Ran Gilad-Bachrach

The human cognitive system exhibits remarkable flexibility and generalization capabilities, partly due to its ability to form low-dimensional, compositional representations of the environment. In contrast, standard neural network…

Artificial Intelligence · Computer Science 2024-02-29 Declan Campbell , Jonathan D. Cohen
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