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We examine the role of memorization in deep learning, drawing connections to capacity, generalization, and adversarial robustness. While deep networks are capable of memorizing noise data, our results suggest that they tend to prioritize…

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

Quantization has emerged to be an effective way to significantly boost the performance of deep neural networks (DNNs) by utilizing low-bit computations. Despite having lower numerical precision, quantized DNNs are able to reduce both memory…

Machine Learning · Computer Science 2019-11-15 Wenlei Bao , Li-Wen Chang , Yang Chen , Ke Deng , Amit Agarwal , Emad Barsoum , Abe Taha

Deep Neural Networks (DNNs) are increasingly being used in software engineering and code intelligence tasks. These are powerful tools that are capable of learning highly generalizable patterns from large datasets through millions of…

Machine Learning · Computer Science 2022-09-15 Md Rafiqul Islam Rabin , Aftab Hussain , Mohammad Amin Alipour , Vincent J. Hellendoorn

Generative Adversarial Networks (GANs) are by far the most successful generative models. Learning the transformation which maps a low dimensional input noise to the data distribution forms the foundation for GANs. Although they have been…

Machine Learning · Computer Science 2020-04-16 Manisha Padala , Debojit Das , Sujit Gujar

Evaluating the realism of generated images remains a fundamental challenge in generative modeling. Existing distributional metrics such as the Frechet Inception Distance (FID) and CLIP-MMD (CMMD) compare feature distributions at a semantic…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Joé Napolitano , Pascal Nguyen

Evaluating image generation models such as generative adversarial networks (GANs) is a challenging problem. A common approach is to compare the distributions of the set of ground truth images and the set of generated test images. The…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Junghyuk Lee , Jong-Seok Lee

Density estimation is a fundamental problem in both statistics and machine learning. In this study, we proposed Roundtrip as a general-purpose neural density estimator based on deep generative models. Roundtrip retains the generative power…

Machine Learning · Computer Science 2021-04-27 Qiao Liu , Jiaze Xu , Rui Jiang , Wing Hung Wong

In this paper, for the first time, we propose an evaluation method for deep learning models that assesses the performance of a model not only in an unseen test scenario, but also in extreme cases of noise, outliers and ambiguous input data.…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Magdalini Paschali , Sailesh Conjeti , Fernando Navarro , Nassir Navab

As shown in recent research, deep neural networks can perfectly fit randomly labeled data, but with very poor accuracy on held out data. This phenomenon indicates that loss functions such as cross-entropy are not a reliable indicator of…

Machine Learning · Statistics 2019-06-13 Yiding Jiang , Dilip Krishnan , Hossein Mobahi , Samy Bengio

Despite their outstanding performance, large language models (LLMs) suffer notorious flaws related to their preference for simple, surface-level textual relations over full semantic complexity of the problem. This proposal investigates a…

Computation and Language · Computer Science 2022-06-20 Michal Štefánik

Deep generative models (DGMs) are data-eager because learning a complex model on limited data suffers from a large variance and easily overfits. Inspired by the classical perspective of the bias-variance tradeoff, we propose regularized…

Machine Learning · Computer Science 2023-04-11 Yong Zhong , Hongtao Liu , Xiaodong Liu , Fan Bao , Weiran Shen , Chongxuan Li

In this work, we propose a notion of practical learnability grounded in finite sample settings, and develop a conjugate learning theoretical framework based on convex conjugate duality to characterize this learnability property. Building on…

Machine Learning · Statistics 2026-02-20 Binchuan Qi

The Predictive Normalized Maximum Likelihood (pNML) scheme has been recently suggested for universal learning in the individual setting, where both the training and test samples are individual data. The goal of universal learning is to…

Machine Learning · Computer Science 2020-01-09 Koby Bibas , Yaniv Fogel , Meir Feder

Visualizing high-dimensional datasets through a generalized embedding has been a challenge for a long time. Several methods have shown up for the same, but still, they have not been able to generate a generalized embedding, which not only…

Machine Learning · Computer Science 2024-10-21 Chayan Maitra , Rajat K. De

This paper discusses the estimation of the generalization gap, the difference between generalization performance and training performance, for overparameterized models including neural networks. We first show that a functional variance, a…

Machine Learning · Statistics 2023-03-21 Akifumi Okuno , Keisuke Yano

Generative models hold great promise for accelerating materials discovery, but their evaluation often overlooks the chemical validity and stability requirements crucial to real-world applications. Density Functional Theory (DFT) simulations…

Materials Science · Physics 2026-01-06 Elohan Veillon , Astrid Klipfel , Adlane Sayede , Zied Bouraoui

In this work, we propose to study the global geometrical properties of generative models. We introduce a new Riemannian metric to assess the similarity between any two data points. Importantly, our metric is agnostic to the parametrization…

Machine Learning · Computer Science 2024-07-17 Beomsu Kim , Michael Puthawala , Jong Chul Ye , Emanuele Sansone

The past few years have witnessed substantial advances in image generation powered by diffusion models. However, it was shown that diffusion models are susceptible to training data memorization, raising significant concerns regarding…

Cryptography and Security · Computer Science 2025-08-01 Zhe Ma , Qingming Li , Xuhong Zhang , Tianyu Du , Ruixiao Lin , Zonghui Wang , Shouling Ji , Wenzhi Chen

Diffusion probabilistic models have been successfully used to generate data from noise. However, most diffusion models are computationally expensive and difficult to interpret with a lack of theoretical justification. Random feature models…

Machine Learning · Statistics 2025-08-11 Esha Saha , Giang Tran
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