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Distillation is the task of replacing a complicated machine learning model with a simpler model that approximates the original [BCNM06,HVD15]. Despite many practical applications, basic questions about the extent to which models can be…

Machine Learning · Computer Science 2024-05-07 Enric Boix-Adsera

Understanding the generalization of deep neural networks is one of the most important tasks in deep learning. Although much progress has been made, theoretical error bounds still often behave disparately from empirical observations. In this…

Machine Learning · Computer Science 2021-11-09 Ching-Yao Chuang , Youssef Mroueh , Kristjan Greenewald , Antonio Torralba , Stefanie Jegelka

Compositional generalization is a basic and essential intellective capability of human beings, which allows us to recombine known parts readily. However, existing neural network based models have been proven to be extremely deficient in…

Artificial Intelligence · Computer Science 2020-10-27 Qian Liu , Shengnan An , Jian-Guang Lou , Bei Chen , Zeqi Lin , Yan Gao , Bin Zhou , Nanning Zheng , Dongmei Zhang

Although recent works have brought some insights into the performance improvement of techniques used in state-of-the-art deep-learning models, more work is needed to understand their generalization properties. We shed light on this matter…

Machine Learning · Computer Science 2020-07-31 Mahsa Forouzesh , Farnood Salehi , Patrick Thiran

Why does training deep neural networks using stochastic gradient descent (SGD) result in a generalization error that does not worsen with the number of parameters in the network? To answer this question, we advocate a notion of effective…

Machine Learning · Computer Science 2019-01-15 Vaishnavh Nagarajan , J. Zico Kolter

This work describes how the formalization of complex network concepts in terms of discrete mathematics, especially mathematical morphology, allows a series of generalizations and important results ranging from new measurements of the…

Statistical Mechanics · Physics 2007-09-19 Luciano da Fontoura Costa , Luis Enrique C. da Rocha

This paper aims to define, quantify, and analyze the feature complexity that is learned by a DNN. We propose a generic definition for the feature complexity. Given the feature of a certain layer in the DNN, our method disentangles feature…

Machine Learning · Computer Science 2023-12-04 Jie Ren , Mingjie Li , Zexu Liu , Quanshi Zhang

We study supervised learning and generalisation in coupled perceptrons trained on-line using two learning scenarios. In the first scenario the teacher and the student are independent networks and both are represented by an Ashkin-Teller…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Bolle' , P. Kozlowski

While metric and similarity learning has been extensively studied from several theoretical perspectives, a rigorous understanding of its generalization performance is still lacking. In this paper, we investigate the generalization behavior…

Machine Learning · Statistics 2026-05-19 Junyu Zhou , Puyu Wang , Ding-Xuan Zhou

Despite the celebrated popularity of Graph Neural Networks (GNNs) across numerous applications, the ability of GNNs to generalize remains less explored. In this work, we propose to study the generalization of GNNs through a novel…

Machine Learning · Computer Science 2024-04-17 Shouheng Li , Dongwoo Kim , Qing Wang

In the application of neural networks, we need to select a suitable model based on the problem complexity and the dataset scale. To analyze the network's capacity, quantifying the information learned by the network is necessary. This paper…

Machine Learning · Computer Science 2021-02-03 Liqun Yang , Yijun Yang , Yao Wang , Zhenyu Yang , Wei Zeng

Generalization of neural networks is crucial for deploying them safely in the real world. Common training strategies to improve generalization involve the use of data augmentations, ensembling and model averaging. In this work, we first…

Machine Learning · Computer Science 2023-06-13 Samyak Jain , Sravanti Addepalli , Pawan Sahu , Priyam Dey , R. Venkatesh Babu

A major challenge for transformers is generalizing to sequences longer than those observed during training. While previous works have empirically shown that transformers can either succeed or fail at length generalization depending on the…

Machine Learning · Computer Science 2025-05-01 Xinting Huang , Andy Yang , Satwik Bhattamishra , Yash Sarrof , Andreas Krebs , Hattie Zhou , Preetum Nakkiran , Michael Hahn

This work continues the study of the relationship between sample compression schemes and statistical learning, which has been mostly investigated within the framework of binary classification. The central theme of this work is establishing…

Machine Learning · Computer Science 2017-01-02 Ofir David , Shay Moran , Amir Yehudayoff

Extrapolation -- the ability to make inferences that go beyond the scope of one's experiences -- is a hallmark of human intelligence. By contrast, the generalization exhibited by contemporary neural network algorithms is largely limited to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Taylor W. Webb , Zachary Dulberg , Steven M. Frankland , Alexander A. Petrov , Randall C. O'Reilly , Jonathan D. Cohen

Decentralized training of deep learning models enables on-device learning over networks, as well as efficient scaling to large compute clusters. Experiments in earlier works reveal that, even in a data-center setup, decentralized training…

Machine Learning · Computer Science 2021-06-21 Lingjing Kong , Tao Lin , Anastasia Koloskova , Martin Jaggi , Sebastian U. Stich

The concepts of overfitting and generalization are vital for evaluating machine learning models. In this work, we show that the popular Recall@K metric depends on the number of classes in the dataset, which limits its ability to estimate…

Machine Learning · Computer Science 2023-06-26 Maksim Zhdanov , Ivan Karpukhin

We show that training of generative adversarial network (GAN) may not have good generalization properties; e.g., training may appear successful but the trained distribution may be far from target distribution in standard metrics. However,…

Machine Learning · Computer Science 2017-08-03 Sanjeev Arora , Rong Ge , Yingyu Liang , Tengyu Ma , Yi Zhang

We propose a combinatorial and graph-theoretic theory of dropout by modeling training as a random walk over a high-dimensional graph of binary subnetworks. Each node represents a masked version of the network, and dropout induces stochastic…

Machine Learning · Computer Science 2025-05-30 Sahil Rajesh Dhayalkar

Deep artificial neural networks have made remarkable progress in different tasks in the field of computer vision. However, the empirical analysis of these models and investigation of their failure cases has received attention recently. In…

Computer Vision and Pattern Recognition · Computer Science 2016-02-10 Babak Saleh , Ahmed Elgammal , Jacob Feldman