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This work provides a theoretical framework for assessing the generalization error of graph neural networks in the over-parameterized regime, where the number of parameters surpasses the quantity of data points. We explore two widely…

机器学习 · 统计学 2024-07-02 Gholamali Aminian , Yixuan He , Gesine Reinert , Łukasz Szpruch , Samuel N. Cohen

We study the mutual information between (certain summaries of) the output of a learning algorithm and its $n$ training data, conditional on a supersample of $n+1$ i.i.d. data from which the training data is chosen at random without…

机器学习 · 计算机科学 2022-06-30 Mahdi Haghifam , Shay Moran , Daniel M. Roy , Gintare Karolina Dziugaite

In real word applications, data generating process for training a machine learning model often differs from what the model encounters in the test stage. Understanding how and whether machine learning models generalize under such…

机器学习 · 统计学 2022-02-08 Abdulkadir Canatar , Blake Bordelon , Cengiz Pehlevan

Deep Metric Learning (DML) learns a non-linear semantic embedding from input data that brings similar pairs together while keeping dissimilar data away from each other. To this end, many different methods are proposed in the last decade…

计算机视觉与模式识别 · 计算机科学 2023-01-02 Davood Zabihzadeh , Zahraa Alitbi , Seyed Jalaleddin Mousavirad

Concept bottleneck model (CBM) is a ubiquitous method that can interpret neural networks using concepts. In CBM, concepts are inserted between the output layer and the last intermediate layer as observable values. This helps in…

机器学习 · 统计学 2023-03-17 Naoki Hayashi , Yoshihide Sawada

This paper presents novel generalization bounds for vector-valued neural networks and deep kernel methods, focusing on multi-task learning through an operator-theoretic framework. Our key development lies in strategically combining a…

机器学习 · 计算机科学 2026-05-29 Mahdi Mohammadigohari , Giuseppe Di Fatta , Giuseppe Nicosia , Panos M. Pardalos

Dropout, a simple and effective way to train deep neural networks, has led to a number of impressive empirical successes and spawned many recent theoretical investigations. However, the gap between dropout's training and inference phases,…

机器学习 · 计算机科学 2017-02-17 Xuezhe Ma , Yingkai Gao , Zhiting Hu , Yaoliang Yu , Yuntian Deng , Eduard Hovy

Despite extensive alignment efforts, Large Vision-Language Models (LVLMs) remain vulnerable to jailbreak attacks. To mitigate these risks, existing detection methods are essential, yet they face two major challenges: generalization and…

密码学与安全 · 计算机科学 2026-01-28 Shuang Liang , Zhihao Xu , Jiaqi Weng , Jialing Tao , Hui Xue , Xiting Wang

This paper is motivated by an open problem around deep networks, namely, the apparent absence of over-fitting despite large over-parametrization which allows perfect fitting of the training data. In this paper, we analyze this phenomenon in…

机器学习 · 计算机科学 2019-08-28 Hrushikesh Mhaskar , Tomaso Poggio

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

机器学习 · 计算机科学 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Deep neural networks often face generalization problems to handle out-of-distribution (OOD) data, and there remains a notable theoretical gap between the contributing factors and their respective impacts. Literature evidence from…

机器学习 · 计算机科学 2024-04-24 Songming Zhang , Yuxiao Luo , Qizhou Wang , Haoang Chi , Xiaofeng Chen , Bo Han , Jinyan Li

Deep learning has been extensively used in various fields, such as phase imaging, 3D imaging reconstruction, phase unwrapping, and laser speckle reduction, particularly for complex problems that lack analytic models. Its data-driven nature…

机器学习 · 计算机科学 2024-10-16 Xuyu Zhang , Haofan Huang , Dawei Zhang , Songlin Zhuang , Shensheng Han , Puxiang Lai , Honglin Liu

Within the machine learning community, the widely-used uniform convergence framework has been used to answer the question of how complex, over-parameterized models can generalize well to new data. This approach bounds the test error of the…

机器学习 · 统计学 2021-03-05 Ryan Theisen , Jason M. Klusowski , Michael W. Mahoney

In transfer learning, the learner leverages auxiliary data to improve generalization on a main task. However, the precise theoretical understanding of when and how auxiliary data help remains incomplete. We provide new insights on this…

机器学习 · 计算机科学 2026-03-31 Meitong Liu , Christopher Jung , Rui Li , Xue Feng , Han Zhao

Leave-one-out cross-validation (LOO-CV) is a popular method for estimating out-of-sample predictive accuracy. However, computing LOO-CV criteria can be computationally expensive due to the need to fit the model multiple times. In the…

统计计算 · 统计学 2023-09-28 Luca Silva , Giacomo Zanella

Generalization in deep learning has been the topic of much recent theoretical and empirical research. Here we introduce desiderata for techniques that predict generalization errors for deep learning models in supervised learning. Such…

机器学习 · 统计学 2020-12-10 Guillermo Valle-Pérez , Ard A. Louis

Generalization of deep neural networks remains one of the main open problems in machine learning. Previous theoretical works focused on deriving tight bounds of model complexity, while empirical works revealed that neural networks exhibit…

机器学习 · 计算机科学 2022-01-31 James Wang , Cheng-Lin Yang

Generalization, the ability to perform well beyond the training context, is a hallmark of biological and artificial intelligence, yet anticipating unseen failures remains a central challenge. Conventional approaches often take a…

机器学习 · 计算机科学 2026-03-03 Chi-Ning Chou , Artem Kirsanov , Yao-Yuan Yang , SueYeon Chung

Fine-tuning is becoming widely used for leveraging the power of pre-trained foundation models in new downstream tasks. While there are many successes of fine-tuning on various tasks, recent studies have observed challenges in the…

机器学习 · 计算机科学 2024-06-21 Yuji Roh , Qingyun Liu , Huan Gui , Zhe Yuan , Yujin Tang , Steven Euijong Whang , Liang Liu , Shuchao Bi , Lichan Hong , Ed H. Chi , Zhe Zhao

Recently, Large Language Models (LLMs) have achieved remarkable success. A key factor behind this success is the scaling law observed by OpenAI. Specifically, for models with Transformer architecture, the test loss exhibits a power-law…

机器学习 · 计算机科学 2025-03-04 Yifang Chen , Xuyang Guo , Xiaoyu Li , Yingyu Liang , Zhenmei Shi , Zhao Song