Activation functions in artificial neural networks: A systematic overview

J Lederer - arXiv preprint arXiv:2101.09957, 2021 - arxiv.org
Activation functions shape the outputs of artificial neurons and, therefore, are integral parts
of neural networks in general and deep learning in particular. Some activation functions …

Automated quality assessment of large digitised histology cohorts by artificial intelligence

M Haghighat, L Browning, K Sirinukunwattana… - Scientific Reports, 2022 - nature.com
Research using whole slide images (WSIs) of histopathology slides has increased
exponentially over recent years. Glass slides from retrospective cohorts, some with patient …

How do noise tails impact on deep ReLU networks?

J Fan, Y Gu, WX Zhou - The Annals of Statistics, 2024 - projecteuclid.org
How do noise tails impact on deep ReLU networks? Page 1 The Annals of Statistics 2024,
Vol. 52, No. 4, 1845–1871 https://doi.org/10.1214/24-AOS2428 © Institute of Mathematical …

Statistical guarantees for regularized neural networks

M Taheri, F Xie, J Lederer - Neural Networks, 2021 - Elsevier
Neural networks have become standard tools in the analysis of data, but they lack
comprehensive mathematical theories. For example, there are very few statistical …

Statistical guarantees for sparse deep learning

J Lederer - AStA Advances in Statistical Analysis, 2024 - Springer
Neural networks are becoming increasingly popular in applications, but our mathematical
understanding of their potential and limitations is still limited. In this paper, we further this …

Robust nonparametric regression with deep neural networks

G Shen, Y Jiao, Y Lin, J Huang - arXiv preprint arXiv:2107.10343, 2021 - arxiv.org
In this paper, we study the properties of robust nonparametric estimation using deep neural
networks for regression models with heavy tailed error distributions. We establish the non …

Robust deep learning from weakly dependent data

W Kengne, M Wade - arXiv preprint arXiv:2405.05081, 2024 - arxiv.org
Recent developments on deep learning established some theoretical properties of deep
neural networks estimators. However, most of the existing works on this topic are restricted …

Non-asymptotic guarantees for robust statistical learning under infinite variance assumption

L Xu, F Yao, Q Yao, H Zhang - Journal of Machine Learning Research, 2023 - jmlr.org
There has been a surge of interest in developing robust estimators for models with heavy-
tailed and bounded variance data in statistics and machine learning, while few works …

Deep regression learning with optimal loss function

X Wang, L Zhou, H Lin - Journal of the American Statistical …, 2024 - Taylor & Francis
In this paper, we develop a novel efficient and robust nonparametric regression estimator
under a framework of a feedforward neural network (FNN). There are several interesting …

PathProfiler: automated quality assessment of retrospective histopathology whole-slide image cohorts by artificial intelligence–a case study for prostate cancer …

M Haghighat, L Browning, K Sirinukunwattana… - medRxiv, 2021 - medrxiv.org
Research using whole slide images (WSIs) of scanned histopathology slides for the
development of artificial intelligence (AI) algorithms has increased exponentially over recent …