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Accurate uncertainty quantification is necessary to enhance the reliability of deep learning models in real-world applications. In the case of regression tasks, prediction intervals (PIs) should be provided along with the deterministic…

机器学习 · 计算机科学 2024-03-26 Giorgio Morales , John W. Sheppard

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

数值分析 · 数学 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

Deep learning models have seen significant successes in numerous applications, but their inner workings remain elusive. The purpose of this work is to quantify the learning process of deep neural networks through the lens of a novel…

机器学习 · 计算机科学 2023-05-10 Rayna Andreeva , Katharina Limbeck , Bastian Rieck , Rik Sarkar

This paper focuses on understanding how the generalization error scales with the amount of the training data for deep neural networks (DNNs). Existing techniques in statistical learning require computation of capacity measures, such as VC…

机器学习 · 计算机科学 2021-05-06 Devansh Bisla , Apoorva Nandini Saridena , Anna Choromanska

We present a computational method for empirically characterizing the training loss level-sets of deep neural networks. Our method numerically constructs a path in parameter space that is constrained to a set with a fixed near-zero training…

机器学习 · 计算机科学 2021-04-27 Naveed Tahir , Garrett E. Katz

When employing deep neural networks (DNNs) for semantic segmentation in safety-critical applications like automotive perception or medical imaging, it is important to estimate their performance at runtime, e.g. via uncertainty estimates or…

计算机视觉与模式识别 · 计算机科学 2024-09-18 Edgar Heinert , Stephan Tilgner , Timo Palm , Matthias Rottmann

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

机器学习 · 统计学 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Deep learning's performance has been extensively recognized recently. Graph neural networks (GNNs) are designed to deal with graph-structural data that classical deep learning does not easily manage. Since most GNNs were created using…

机器学习 · 计算机科学 2023-09-20 Zhiqian Chen , Fanglan Chen , Lei Zhang , Taoran Ji , Kaiqun Fu , Liang Zhao , Feng Chen , Lingfei Wu , Charu Aggarwal , Chang-Tien Lu

Improving the robustness of neural nets in regression tasks is key to their application in multiple domains. Deep learning-based approaches aim to achieve this goal either by improving their prediction of specific values (i.e., point…

机器学习 · 计算机科学 2021-06-22 Eli Simhayev , Gilad Katz , Lior Rokach

The classification performance of deep neural networks has begun to asymptote at near-perfect levels. However, their ability to generalize outside the training set and their robustness to adversarial attacks have not. In this paper, we make…

计算机视觉与模式识别 · 计算机科学 2019-08-21 Joshua C. Peterson , Ruairidh M. Battleday , Thomas L. Griffiths , Olga Russakovsky

Deep neural networks (DNNs) achieve remarkable performance on a wide range of tasks, yet their mathematical analysis remains fragmented: stability and generalization are typically studied in disparate frameworks and on a case-by-case basis.…

机器学习 · 统计学 2026-01-29 Jonathan Vacher

Deep neural networks (DNNs) often suffer from the overconfidence issue, where incorrect predictions are made with high confidence scores, hindering the applications in critical systems. In this paper, we propose a novel approach called…

计算机视觉与模式识别 · 计算机科学 2024-11-08 Yijun Liu , Jiequan Cui , Zhuotao Tian , Senqiao Yang , Qingdong He , Xiaoling Wang , Jingyong Su

Nowadays, deep learning methods, especially the convolutional neural networks (CNNs), have shown impressive performance on extracting abstract and high-level features from the hyperspectral image. However, general training process of CNNs…

计算机视觉与模式识别 · 计算机科学 2020-03-12 Zhiqiang Gong , Ping Zhong , Weidong Hu

Existing methods for estimating uncertainty in deep learning tend to require multiple forward passes, making them unsuitable for applications where computational resources are limited. To solve this, we perform probabilistic reasoning over…

Study Objectives: Sleep stage scoring is performed manually by sleep experts and is prone to subjective interpretation of scoring rules with low intra- and interscorer reliability. Many automatic systems rely on few small-scale databases…

计算机视觉与模式识别 · 计算机科学 2020-08-24 Alexander Neergaard Olesen , Poul Jennum , Emmanuel Mignot , Helge B D Sorensen

The generalization of machine learning models has a complex dependence on the data, model and learning algorithm. We study train and test performance, as well as the generalization gap given by the mean of their difference over different…

机器学习 · 统计学 2022-06-29 Carlos A. Gomez-Uribe

Although overparameterized models have achieved remarkable practical success, their theoretical properties, particularly their generalization behavior, remain incompletely understood. The well known double descents phenomenon suggests that…

机器学习 · 统计学 2026-01-06 Haoran Zhan , Yingcun Xia

Numerous invariant (or equivariant) neural networks have succeeded in handling invariant data such as point clouds and graphs. However, a generalization theory for the neural networks has not been well developed, because several essential…

机器学习 · 统计学 2021-06-22 Akiyoshi Sannai , Masaaki Imaizumi , Makoto Kawano

Graph Neural Networks (GNNs) have become the standard method for learning from networks across fields ranging from biology to social systems, yet a principled understanding of what enables them to extract meaningful representations, or why…

机器学习 · 统计学 2026-03-19 Nil Ayday , Mahalakshmi Sabanayagam , Debarghya Ghoshdastidar

How well do neural networks generalize? Even for grammar induction tasks, where the target generalization is fully known, previous works have left the question open, testing very limited ranges beyond the training set and using different…

计算与语言 · 计算机科学 2023-08-28 Nur Lan , Emmanuel Chemla , Roni Katzir