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Deep neural networks (DNNs) have achieved remarkable empirical success, yet their training dynamics remain understood mainly from optimization rather than statistical principles. Here we develop a statistical framework for DNN training in…

机器学习 · 统计学 2026-05-28 Minhao Yao , Ruoyu Wang , Xihong Lin , Lin Liu , Zhonghua Liu

Over-parameterization and adaptive methods have played a crucial role in the success of deep learning in the last decade. The widespread use of over-parameterization has forced us to rethink generalization by bringing forth new phenomena,…

机器学习 · 统计学 2020-12-01 Vatsal Shah , Soumya Basu , Anastasios Kyrillidis , Sujay Sanghavi

We model learning in a continuous-time Brownian setting where there is prior ambiguity. The associated model of preference values robustness and is time-consistent. It is applied to study optimal learning when the choice between actions can…

经济学 · 定量金融 2019-03-06 Larry G. Epstein , Shaolin Ji

There is a recent surge of interest in designing deep architectures based on the update steps in traditional algorithms, or learning neural networks to improve and replace traditional algorithms. While traditional algorithms have certain…

机器学习 · 计算机科学 2020-06-11 Xinshi Chen , Hanjun Dai , Yu Li , Xin Gao , Le Song

Early stopping methods in deep learning face the challenge of balancing the volume of training and validation data, especially in the presence of label noise. Concretely, sparing more data for validation from training data would limit the…

机器学习 · 计算机科学 2025-02-12 Suqin Yuan , Lei Feng , Tongliang Liu

Unsupervised contrastive learning has gained increasing attention in the latest research and has proven to be a powerful method for learning representations from unlabeled data. However, little theoretical analysis was known for this…

机器学习 · 计算机科学 2021-06-01 Zixin Wen

Optimization is an important module of modern machine learning applications. Tremendous efforts have been made to accelerate optimization algorithms. A common formulation is achieving a lower loss at a given time. This enables a…

机器学习 · 计算机科学 2025-05-29 Zhonglin Xie , Yiman Fong , Haoran Yuan , Zaiwen Wen

Finding the optimal size of deep learning models is very actual and of broad impact, especially in energy-saving schemes. Very recently, an unexpected phenomenon, the ``double descent'', has caught the attention of the deep learning…

机器学习 · 计算机科学 2023-12-27 Victor Quétu , Enzo Tartaglione

Neural network pruning is a popular technique used to reduce the inference costs of modern, potentially overparameterized, networks. Starting from a pre-trained network, the process is as follows: remove redundant parameters, retrain, and…

机器学习 · 计算机科学 2021-03-05 Lucas Liebenwein , Cenk Baykal , Brandon Carter , David Gifford , Daniela Rus

Parallel reasoning enhances Large Reasoning Models (LRMs) but incurs prohibitive costs due to futile paths caused by early errors. To mitigate this, path pruning at the prefix level is essential, yet existing research remains fragmented…

计算与语言 · 计算机科学 2026-04-20 Jiaxi Bi , Tongxu Luo , Wenyu Du , Zhengyang Tang , Benyou Wang

Graph neural networks (GNNs) are commonly used in semi-supervised settings. Previous research has primarily focused on finding appropriate graph filters (e.g. aggregation methods) to perform well on both homophilic and heterophilic graphs.…

机器学习 · 计算机科学 2025-01-17 Yoonhyuk Choi , Jiho Choi , Taewook Ko , Chong-Kwon Kim

Meta-Learning algorithms for few-shot learning aim to train neural networks capable of generalizing to novel tasks using only a few examples. Early-stopping is critical for performance, halting model training when it reaches optimal…

机器学习 · 计算机科学 2022-08-05 Simon Guiroy , Christopher Pal , Gonçalo Mordido , Sarath Chandar

Deep Learning is becoming increasingly relevant in Embedded and Internet-of-things applications. However, deploying models on embedded devices poses a challenge due to their resource limitations. This can impact the model's inference…

机器学习 · 计算机科学 2024-03-14 Max Sponner , Lorenzo Servadei , Bernd Waschneck , Robert Wille , Akash Kumar

Nowadays, the deployment of deep learning models on edge devices for addressing real-world classification problems is becoming more prevalent. Moreover, there is a growing popularity in the approach of early classification, a technique that…

机器学习 · 计算机科学 2023-06-27 Leonardos Pantiskas , Kees Verstoep , Mark Hoogendoorn , Henri Bal

We investigate a well-known phenomenon of variational approaches in image processing, where typically the best image quality is achieved when the gradient flow process is stopped before converging to a stationary point. This paradox…

最优化与控制 · 数学 2019-07-23 Alexander Effland , Erich Kobler , Karl Kunisch , Thomas Pock

Model pruning seeks to induce sparsity in a deep neural network's various connection matrices, thereby reducing the number of nonzero-valued parameters in the model. Recent reports (Han et al., 2015; Narang et al., 2017) prune deep networks…

机器学习 · 统计学 2017-11-15 Michael Zhu , Suyog Gupta

Highly overparametrized neural networks can display curiously strong generalization performance - a phenomenon that has recently garnered a wealth of theoretical and empirical research in order to better understand it. In contrast to most…

机器学习 · 计算机科学 2020-09-29 Jorg Bornschein , Francesco Visin , Simon Osindero

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…

机器学习 · 计算机科学 2015-03-10 Naftali Tishby , Noga Zaslavsky

Machine unlearning is the task of updating a trained model to forget specific training data without retraining from scratch. In this paper, we investigate how unlearning of deep neural networks (DNNs) is affected by the model…

机器学习 · 计算机科学 2026-05-20 Gal Alon , Yehuda Dar

Outlier detection (OD) has received continuous research interests due to its wide applications. With the development of deep learning, increasingly deep OD algorithms are proposed. Despite the availability of numerous deep OD models,…

机器学习 · 计算机科学 2023-05-29 Yihong Huang , Yuang Zhang , Liping Wang , Xuemin Lin