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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-asymptotic error bounds for a class of robust…

Statistics Theory · Mathematics 2021-07-23 Guohao Shen , Yuling Jiao , Yuanyuan Lin , Jian Huang

Deep Neural Networks (DNNs) have become very popular for prediction in many areas. Their strength is in representation with a high number of parameters that are commonly learned via gradient descent or similar optimization methods. However,…

Machine Learning · Statistics 2016-10-11 Anthony Caterini , Dong Eui Chang

Deep neural networks (DNN) have been used successfully in many scientific problems for their high prediction accuracy, but their application to genetic studies remains challenging due to their poor interpretability. In this paper, we…

Machine Learning · Computer Science 2021-10-01 Peyman H. Kassani , Fred Lu , Yann Le Guen , Zihuai He

Learning predictive models from observations using deep neural networks (DNNs) is a promising new approach to many real-world planning and control problems. However, common DNNs are too unstructured for effective planning, and current…

Robotics · Computer Science 2023-12-21 Ziang Liu , Genggeng Zhou , Jeff He , Tobia Marcucci , Li Fei-Fei , Jiajun Wu , Yunzhu Li

We theoretically discuss why deep neural networks (DNNs) performs better than other models in some cases by investigating statistical properties of DNNs for non-smooth functions. While DNNs have empirically shown higher performance than…

Machine Learning · Statistics 2018-07-10 Masaaki Imaizumi , Kenji Fukumizu

Deep neural networks (DNNs), particularly those using Rectified Linear Unit (ReLU) activation functions, have achieved remarkable success across diverse machine learning tasks, including image recognition, audio processing, and language…

Machine Learning · Computer Science 2026-03-26 Emi Zeger , Mert Pilanci

In this paper, we consider robust nonparametric regression using deep neural networks with ReLU activation function. While several existing theoretically justified methods are geared towards robustness against identical heavy-tailed noise…

Methodology · Statistics 2023-11-01 Juntong Chen

Deep neural networks (DNNs) have become powerful tools for modeling complex data structures through sequentially integrating simple functions in each hidden layer. In survival analysis, recent advances of DNNs primarily focus on enhancing…

Machine Learning · Statistics 2025-03-26 Changhui Yuan , Shishun Zhao , Shuwei Li , Xinyuan Song , Zhao Chen

Complex nonlinear models such as deep neural network (DNNs) have become an important tool for image classification, speech recognition, natural language processing, and many other fields of application. These models however lack…

We present a deep transformation model for probabilistic regression. Deep learning is known for outstandingly accurate predictions on complex data but in regression tasks, it is predominantly used to just predict a single number. This…

Machine Learning · Statistics 2020-04-02 Beate Sick , Torsten Hothorn , Oliver Dürr

Deep neural networks have proven to be quite effective in a wide variety of machine learning tasks, ranging from improved speech recognition systems to advancing the development of autonomous vehicles. However, despite their superior…

Machine Learning · Computer Science 2016-12-14 Qinglong Wang , Wenbo Guo , Alexander G. Ororbia , Xinyu Xing , Lin Lin , C. Lee Giles , Xue Liu , Peng Liu , Gang Xiong

The ongoing decarbonisation of power systems is driving an increasing reliance on distributed energy resources, which introduces complex and nonlinear interactions that are difficult to capture in conventional optimisation models. As a…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Yogesh Pipada Sunil Kumar , S. Ali Pourmousavi , Jon A. R. Liisberg , Julian Lesmos-Vinasco

Deep neural networks (DNN) has received increasing attention in machine learning applications in the last several years. Recently, a non-asymptotic error bound has been developed to measure the performance of the fully connected DNN…

Machine Learning · Statistics 2024-05-15 Kejin Wu , Dimitris N. Politis

Studying the invertibility of deep neural networks (DNNs) provides a principled approach to better understand the behavior of these powerful models. Despite being a promising diagnostic tool, a consistent theory on their invertibility is…

Machine Learning · Computer Science 2018-06-28 Jens Behrmann , Sören Dittmer , Pascal Fernsel , Peter Maaß

Recurrent Neural Networks (RNNs) are very successful at solving challenging problems with sequential data. However, this observed efficiency is not yet entirely explained by theory. It is known that a certain class of multiplicative RNNs…

Machine Learning · Computer Science 2019-01-31 Valentin Khrulkov , Oleksii Hrinchuk , Ivan Oseledets

Recent studies have highlighted that deep neural networks (DNNs) are vulnerable to adversarial examples. In this paper, we improve the robustness of DNNs by utilizing techniques of Distance Metric Learning. Specifically, we incorporate…

Machine Learning · Computer Science 2019-05-29 Pengcheng Li , Jinfeng Yi , Bowen Zhou , Lijun Zhang

This paper proposes a deep neural network (DNN)-driven framework to address the longstanding generalization challenge in adaptive filtering (AF). In contrast to traditional AF frameworks that emphasize explicit cost function design, the…

Machine Learning · Statistics 2025-08-07 Qizhen Wang , Gang Wang , Ying-Chang Liang

Deep neural networks (DNNs) have made a revolution in numerous fields during the last decade. However, in tasks with high safety requirements, such as medical or autonomous driving applications, providing an assessment of the models…

Machine Learning · Computer Science 2020-11-20 Omer Achrack , Raizy Kellerman , Ouriel Barzilay

Training a deep neural network (DNN) often involves stochastic optimization, which means each run will produce a different model. Several works suggest this variability is negligible when models have the same performance, which in the case…

Machine Learning · Statistics 2023-10-03 Sinjini Banerjee , Reilly Cannon , Tim Marrinan , Tony Chiang , Anand D. Sarwate

We propose a deep neural network (DNN) based least distance (LD) estimator (DNN-LD) for a multivariate regression problem, addressing the limitations of the conventional methods. Due to the flexibility of a DNN structure, both linear and…

Methodology · Statistics 2024-01-09 Jungmin Shin , Seung Jun Shin , Sungwan Bang
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