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相关论文: Two-Phase Dynamics of Interactions Explains the St…

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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…

机器学习 · 计算机科学 2024-11-26 Qihan Ren , Junpeng Zhang , Yang Xu , Yue Xin , Dongrui Liu , Quanshi Zhang

This paper proposes a new perspective for analyzing the generalization power of deep neural networks (DNNs), i.e., directly disentangling and analyzing the dynamics of generalizable and non-generalizable interaction encoded by a DNN through…

机器学习 · 计算机科学 2025-05-21 Yuxuan He , Junpeng Zhang , Lei Cheng , Hongyuan Zhang , Quanshi Zhang

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…

机器学习 · 计算机科学 2022-11-08 Huiqi Deng , Qihan Ren , Hao Zhang , Quanshi Zhang

Understanding how deep neural networks learn remains a fundamental challenge in modern machine learning. A growing body of evidence suggests that training dynamics undergo a distinct phase transition, yet our understanding of this…

机器学习 · 计算机科学 2025-05-21 Zhanpeng Zhou , Yongyi Yang , Mahito Sugiyama , Junchi Yan

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…

机器学习 · 计算机科学 2024-09-16 Xu Cheng , Lei Cheng , Zhaoran Peng , Yang Xu , Tian Han , Quanshi Zhang

Recent research has seen many behavioral comparisons between humans and deep neural networks (DNNs) in the domain of image classification. Often, comparison studies focus on the end-result of the learning process by measuring and comparing…

计算机视觉与模式识别 · 计算机科学 2024-07-15 Lukas S. Huber , Fred W. Mast , Felix A. Wichmann

Understanding the inductive bias and generalization properties of large overparametrized machine learning models requires to characterize the dynamics of the training algorithm. We study the learning dynamics of large two-layer neural…

机器学习 · 统计学 2025-10-30 Andrea Montanari , Pierfrancesco Urbani

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…

机器学习 · 计算机科学 2025-12-23 Huiqi Deng , Qihan Ren , Zhuofan Chen , Zhenyuan Cui , Wen Shen , Peng Zhang , Hongbin Pei , Quanshi Zhang

A key challenge in building theoretical foundations for deep learning is the complex optimization dynamics of neural networks, resulting from the high-dimensional interactions between the large number of network parameters. Such non-trivial…

机器学习 · 计算机科学 2021-12-07 Mohammad Pezeshki , Amartya Mitra , Yoshua Bengio , Guillaume Lajoie

Over-parameterized deep neural networks (DNNs) with sufficient capacity to memorize random noise can achieve excellent generalization performance, challenging the bias-variance trade-off in classical learning theory. Recent studies claimed…

机器学习 · 计算机科学 2022-11-15 Xiao Zhang , Haoyi Xiong , Dongrui Wu

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…

机器学习 · 计算机科学 2024-09-16 Huilin Zhou , Hao Zhang , Huiqi Deng , Dongrui Liu , Wen Shen , Shih-Han Chan , Quanshi Zhang

According to a popular viewpoint, neural networks learn from data by first identifying low-dimensional representations, and subsequently fitting the best model in this space. Recent works provide a formalization of this phenomenon when…

机器学习 · 计算机科学 2026-02-27 Andrea Montanari , Zihao Wang

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…

机器学习 · 计算机科学 2025-02-17 Lei Cheng , Junpeng Zhang , Qihan Ren , 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…

机器学习 · 计算机科学 2026-04-30 Jiancheng Wang , Mingjia Yin , Hao Wang , Enhong Chen

This thesis explores how deep learning models learn over time, using ideas inspired by force analysis. Specifically, we zoom in on the model's training procedure to see how one training example affects another during learning, like…

机器学习 · 计算机科学 2025-09-25 Yi Ren

We propose that learning in deep neural networks proceeds in two phases: a rapid curve fitting phase followed by a slower compression or coarse graining phase. This view is supported by the shared temporal structure of three phenomena:…

高能物理 - 理论 · 物理学 2025-07-28 Robert de Mello Koch , Animik Ghosh

Current deep neural networks are highly overparameterized (up to billions of connection weights) and nonlinear. Yet they can fit data almost perfectly through variants of gradient descent algorithms and achieve unexpected levels of…

It is frequently observed that overparameterized neural networks generalize well. Regarding such phenomena, existing theoretical work mainly devotes to linear settings or fully-connected neural networks. This paper studies the learning…

机器学习 · 统计学 2023-08-17 Tian-Yi Zhou , Xiaoming Huo

Why deep neural networks (DNNs) capable of overfitting often generalize well in practice is a mystery [#zhang2016understanding]. To find a potential mechanism, we focus on the study of implicit biases underlying the training process of…

机器学习 · 计算机科学 2019-11-04 Zhi-Qin John Xu , Yaoyu Zhang , Yanyang Xiao

To understand how deep learning works, it is crucial to understand the training dynamics of neural networks. Several interesting hypotheses about these dynamics have been made based on empirically observed phenomena, but there exists a…

机器学习 · 统计学 2021-11-16 Nikhil Ghosh , Song Mei , Bin Yu
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