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Advancements in data-driven machine learning have emerged as a pivotal element in supporting automotive software systems (ASSs) engineering across various levels of the V-development process.…

Software Engineering · Computer Science 2026-03-10 Mohammad Abboush , Ehab Ghannoum , Andreas Rausch

In recent years, deep neural networks have been applied to obtain high performance of prediction, classification, and pattern recognition. However, the weights in these deep neural networks are difficult to be explained. Although a linear…

Machine Learning · Computer Science 2020-05-08 Chi-Hua Chen

Deep learning is a fast-growing machine learning approach to perceive and understand large amounts of data. In this paper, general information about the deep learning approach which is attracted much attention in the field of machine…

Image and Video Processing · Electrical Eng. & Systems 2018-08-28 Çağrı Kaymak , Ayşegül Uçar

We propose a new method to solve eigenvalue problems for linear and semilinear second order differential operators in high dimensions based on deep neural networks. The eigenvalue problem is reformulated as a fixed point problem of the…

Machine Learning · Computer Science 2020-10-28 Jiequn Han , Jianfeng Lu , Mo Zhou

The fractional advection-dispersion equation (FADE) has attracted increased attention from researchers as it provides an accurate description for challenging phenomenas with long-range time memory and spatial interactions, such as the…

Numerical Analysis · Mathematics 2019-02-12 Huan Liu , Hong Wang , Xiangcheng Zheng

We develop Structured-Knowledge-Informed Neural Networks (SKINNs), a unified estimation framework that embeds theoretical, simulated, previously learned, or cross-domain insights as differentiable constraints within flexible neural function…

Machine Learning · Statistics 2026-04-02 Yi Cao , Zexun Chen , Lin William Cong , Heqing Shi

Parametric differential equations of the form du/dt = f(u, x, t, p) are fundamental in science and engineering. While deep learning frameworks such as the Fourier Neural Operator (FNO) can efficiently approximate solutions, they struggle…

Machine Learning · Computer Science 2025-06-03 Abdolmehdi Behroozi , Chaopeng Shen and , Daniel Kifer

Deep neural networks (DNNs) can be useful within the marine robotics field, but their utility value is restricted by their black-box nature. Explainable artificial intelligence methods attempt to understand how such black-boxes make their…

Robotics · Computer Science 2022-03-02 Vilde B. Gjærum , Inga Strümke , Ole Andreas Alsos , Anastasios M. Lekkas

Convolutional neural networks (CNNs) are widely used for high-stakes applications like medicine, often surpassing human performance. However, most explanation methods rely on post-hoc attribution, approximating the decision-making process…

Machine Learning · Computer Science 2026-02-23 Kerol Djoumessi , Philipp Berens

The notion of an Evolutional Deep Neural Network (EDNN) is introduced for the solution of partial differential equations (PDE). The parameters of the network are trained to represent the initial state of the system only, and are…

Computational Physics · Physics 2021-10-13 Yifan Du , Tamer A. Zaki

Classical artificial neural networks have witnessed widespread successes in machine-learning applications. Here, we propose fermion neural networks (FNNs) whose physical properties, such as local density of states or conditional…

Quantum Physics · Physics 2023-10-04 Pei-Lin Zheng , Jia-Bao Wang , Yi Zhang

Neural networks have become the standard model for various computer vision tasks in automated driving including semantic segmentation, moving object detection, depth estimation, visual odometry, etc. The main flavors of neural networks…

Neural and Evolutionary Computing · Computer Science 2019-03-07 Sambit Mohapatra , Heinrich Gotzig , Senthil Yogamani , Stefan Milz , Raoul Zollner

Objective: To propose novel SSVEP classification methodologies using deep neural networks (DNNs) and improve performances in single-channel and user-independent brain-computer interfaces (BCIs) with small data lengths. Approach: We propose…

Signal Processing · Electrical Eng. & Systems 2022-04-05 Pedro R. A. S. Bassi , Romis Attux

In today's world, the significance of explainable AI (XAI) is growing in robotics and point cloud applications, as the lack of transparency in decision-making can pose considerable safety risks, particularly in autonomous systems. As these…

Machine Learning · Computer Science 2024-10-22 Seyed Mohammad Ahmadi , Koorosh Aslansefat , Ruben Valcarce-Dineiro , Joshua Barnfather

Inverse problems consist of recovering a signal from a collection of noisy measurements. These problems can often be cast as feasibility problems; however, additional regularization is typically necessary to ensure accurate and stable…

Machine Learning · Computer Science 2021-04-30 Howard Heaton , Samy Wu Fung , Aviv Gibali , Wotao Yin

Deep learning is a powerful tool whose applications in quantitative finance are growing every day. Yet, artificial neural networks behave as black boxes and this hinders validation and accountability processes. Being able to interpret the…

Pricing of Securities · Quantitative Finance 2021-04-20 Damiano Brigo , Xiaoshan Huang , Andrea Pallavicini , Haitz Saez de Ocariz Borde

Relu Fully Connected Networks are ubiquitous but uninterpretable because they fit piecewise linear functions emerging from multi-layered structures and complex interactions of model weights. This paper takes a novel approach to piecewise…

Machine Learning · Computer Science 2021-11-23 Jasdeep Singh Grover , Harsh Minesh Domadia , Raj Anant Tapase , Grishma Sharma

This work proposes a Neural Network model that can control its depth using an iterate-to-fixed-point operator. The architecture starts with a standard layered Network but with added connections from current later to earlier layers, along…

Machine Learning · Computer Science 2021-11-02 Mansura Habiba , Barak A. Pearlmutter

Learning maps between function spaces with a strong inductive bias is a central challenge in soft computing, especially when training data are scarce and standard deep architectures overfit. We introduce a \emph{neural integral operator}…

Machine Learning · Computer Science 2026-05-26 Emanuele Zappala , Alice Giola , Andreas Kramer , Saugat Acharya , Enrico Greco

The financial industry faces a significant challenge modeling and risk portfolios: balancing the predictability of advanced machine learning models, neural network models, and explainability required by regulatory entities (such as Office…

Machine Learning · Computer Science 2025-11-10 Rongbin Ye , Jiaqi Chen