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Learning-based methods have demonstrated remarkable performance in solving inverse problems, particularly in image reconstruction tasks. Despite their success, these approaches often lack theoretical guarantees, which are crucial in…

Numerical Analysis · Mathematics 2025-10-21 Clemens Arndt , Judith Nickel

While regression tasks aim at interpolating a relation on the entire input space, they often have to be solved with a limited amount of training data. Still, if the hypothesis functions can be sketched well with the data, one can hope for…

Machine Learning · Statistics 2020-07-02 Alex Goeßmann , Gitta Kutyniok

We show that standard ResNet architectures can be made invertible, allowing the same model to be used for classification, density estimation, and generation. Typically, enforcing invertibility requires partitioning dimensions or restricting…

Machine Learning · Computer Science 2019-05-21 Jens Behrmann , Will Grathwohl , Ricky T. Q. Chen , David Duvenaud , Jörn-Henrik Jacobsen

Large neural networks are often overparameterised and prone to overfitting, Dropout is a widely used regularization technique to combat overfitting and improve model generalization. However, unstructured Dropout is not always effective for…

Machine Learning · Computer Science 2022-10-07 Yiren Zhao , Oluwatomisin Dada , Xitong Gao , Robert D Mullins

This paper accelerates video perception, such as semantic segmentation and human pose estimation, by levering cross-frame redundancies. Unlike the existing approaches, which avoid redundant computations by warping the past features using…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Davide Abati , Haitam Ben Yahia , Markus Nagel , Amirhossein Habibian

Overfitting is a major problem in training machine learning models, specifically deep neural networks. This problem may be caused by imbalanced datasets and initialization of the model parameters, which conforms the model too closely to the…

Neural and Evolutionary Computing · Computer Science 2019-02-26 Hojjat Salehinejad , Shahrokh Valaee

Deep learning has made significant progress in computer vision, specifically in image classification, object detection, and semantic segmentation. The skip connection has played an essential role in the architecture of deep neural…

Image and Video Processing · Electrical Eng. & Systems 2025-08-11 Guoping Xu , Xiaxia Wang , Xinglong Wu , Xuesong Leng , Yongchao Xu

The development of effective initialization methods requires an understanding of random neural networks. In this work, a rigorous probabilistic analysis of deep unbiased Leaky ReLU networks is provided. We prove a Law of Large Numbers and a…

Machine Learning · Statistics 2026-02-12 Constantin Kogler , Tassilo Schwarz , Samuel Kittle

In deep learning, neural networks serve as noisy channels between input data and its representation. This perspective naturally relates deep learning with the pursuit of constructing channels with optimal performance in information…

Machine Learning · Computer Science 2022-12-06 Kangyu Weng , Aohua Cheng , Ziyang Zhang , Pei Sun , Yang Tian

Normalizing flows are a powerful tool for generative modelling, density estimation and posterior reconstruction in Bayesian inverse problems. In this paper, we introduce proximal residual flows, a new architecture of normalizing flows.…

Machine Learning · Computer Science 2023-05-19 Johannes Hertrich

Active reconfigurable intelligent surface (RIS) is a new RIS architecture that can reflect and amplify communication signals. It can provide enhanced performance gain compared to the conventional passive RIS systems that can only reflect…

Information Theory · Computer Science 2024-01-12 Qian Zhang , Mingjie Shao , Qiang Li , Ju Liu

Weight initialization plays an important role in training neural networks and also affects tremendous deep learning applications. Various weight initialization strategies have already been developed for different activation functions with…

Machine Learning · Computer Science 2022-08-09 Qipin Chen , Wenrui Hao , Juncai He

Residual-based adaptive strategies are widely used in scientific machine learning but remain largely heuristic. We introduce a unifying variational framework that formalizes these methods by integrating convex transformations of the…

Machine Learning · Computer Science 2025-09-29 Juan Diego Toscano , Daniel T. Chen , Vivek Oommen , Jérôme Darbon , George Em Karniadakis

We introduce Dynamic Dropout, a novel regularization technique designed to enhance the training efficiency of Transformer models by dynamically adjusting the dropout rate based on training epochs or validation loss improvements. This…

Machine Learning · Computer Science 2024-11-06 Hanrui Yan , Dan Shao

Dropout is a simple but efficient regularization technique for achieving better generalization of deep neural networks (DNNs); hence it is widely used in tasks based on DNNs. During training, dropout randomly discards a portion of the…

Neural and Evolutionary Computing · Computer Science 2020-10-22 Hiroshi Inoue

Convolutional neural networks (CNNs) depend on deep network architectures to extract accurate information for image super-resolution. However, obtained information of these CNNs cannot completely express predicted high-quality images for…

Image and Video Processing · Electrical Eng. & Systems 2024-03-25 Chunwei Tian , Xuanyu Zhang , Qi Zhang , Mingming Yang , Zhaojie Ju

Recent works have cast some light on the mystery of why deep nets fit any data and generalize despite being very overparametrized. This paper analyzes training and generalization for a simple 2-layer ReLU net with random initialization, and…

Machine Learning · Computer Science 2019-05-28 Sanjeev Arora , Simon S. Du , Wei Hu , Zhiyuan Li , Ruosong Wang

Port-Hamiltonian neural networks have shown promising results in the identification of nonlinear dynamics of complex systems, as their combination of physical principles with data-driven learning allows for accurate modelling. However, due…

Systems and Control · Electrical Eng. & Systems 2026-01-28 G. J. E. van Otterdijk , S. Weiland , M. Schoukens

End-to-end autonomous driving (E2EAD) systems, which learn to predict future trajectories directly from sensor data, are fundamentally challenged by the inherent spatio-temporal imbalance of trajectory data. This imbalance creates a…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Zhiyu Zheng , Shaoyu Chen , Haoran Yin , Xinbang Zhang , Jialv Zou , Xinggang Wang , Qian Zhang , Lefei Zhang

Artificial and biological agents cannon learn given completely random and unstructured data. The structure of data is encoded in the metric relationships between data points. In the context of neural networks, neuronal activity within a…

Machine Learning · Computer Science 2022-11-03 Kosio Beshkov , Jonas Verhellen , Mikkel Elle Lepperød
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