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We propose a novel way to incorporate expert knowledge into the training of deep neural networks. Many approaches encode domain constraints directly into the network architecture, requiring non-trivial or domain-specific engineering. In…

Machine Learning · Computer Science 2021-11-03 Nicholas Hoernle , Rafael Michael Karampatsis , Vaishak Belle , Kobi Gal

We develop DeepOPF as a Deep Neural Network (DNN) approach for solving direct current optimal power flow (DC-OPF) problems. DeepOPF is inspired by the observation that solving DC-OPF for a given power network is equivalent to characterizing…

Systems and Control · Computer Science 2020-09-24 Xiang Pan , Tianyu Zhao , Minghua Chen

In this paper, we consider approximating the parameter-to-solution maps of parametric partial differential equations (PPDEs) using deep neural networks (DNNs). We propose an efficient approach combining reduced collocation methods (RCMs)…

Numerical Analysis · Mathematics 2025-08-18 Guanhang Lei , Zhen Lei , Lei Shi , Chenyu Zeng

Deep neural networks (DNNs) have become ubiquitous thanks to their remarkable ability to model complex patterns across various domains such as computer vision, speech recognition, robotics, etc. While large DNN models are often more…

Machine Learning · Computer Science 2025-11-18 Omkar Shende , Gayathri Ananthanarayanan , Marcello Traiola

Generative models now produce images with such stunning realism that they can easily deceive the human eye. While this progress unlocks vast creative potential, it also presents significant risks, such as the spread of misinformation.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Yichi Zhang , Xiaogang Xu

Evaluating adversarial robustness amounts to finding the minimum perturbation needed to have an input sample misclassified. The inherent complexity of the underlying optimization requires current gradient-based attacks to be carefully…

Machine Learning · Computer Science 2021-11-22 Maura Pintor , Fabio Roli , Wieland Brendel , Battista Biggio

The problem of mining integrity constraints from data has been extensively studied over the past two decades for commonly used types of constraints including the classic Functional Dependencies (FDs) and the more general Denial Constraints…

Databases · Computer Science 2020-05-19 Ester Livshits , Alireza Heidari , Ihab F. Ilyas , Benny Kimelfeld

Verification of Neural Networks (NNs) that approximate the solution of Partial Differential Equations (PDEs) is a major milestone towards enhancing their trustworthiness and accelerating their deployment, especially for safety-critical…

Systems and Control · Electrical Eng. & Systems 2024-02-13 Petros Ellinas , Rahul Nellikath , Ignasi Ventura , Jochen Stiasny , Spyros Chatzivasileiadis

Physics-informed neural networks (PINNs) have been widely applied in different fields due to their effectiveness in solving partial differential equations (PDEs). However, the accuracy and efficiency of PINNs need to be considerably…

Machine Learning · Computer Science 2023-08-16 Weilong Guan , Kaihan Yang , Yinsheng Chen , Zhong Guan

Several `edge-discovery' applications over graph-based data models are known to have worst-case quadratic time complexity in the nodes, even if the discovered edges are sparse. One example is the generic link discovery problem between two…

Artificial Intelligence · Computer Science 2017-07-04 Mayank Kejriwal

We develop DeepOPF as a Deep Neural Network (DNN) approach for solving security-constrained direct current optimal power flow (SC-DCOPF) problems, which are critical for reliable and cost-effective power system operation.DeepOPF is inspired…

Systems and Control · Electrical Eng. & Systems 2020-09-24 Xiang Pan , Tianyu Zhao , Minghua Chen , Shengyu Zhang

This paper proposes an adaptive auxiliary task learning based approach for object counting problems. Unlike existing auxiliary task learning based methods, we develop an attention-enhanced adaptively shared backbone network to enable both…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Yanda Meng , Joshua Bridge , Meng Wei , Yitian Zhao , Yihong Qiao , Xiaoyun Yang , Xiaowei Huang , Yalin Zheng

We introduce Dynamic Planning Networks (DPN), a novel architecture for deep reinforcement learning, that combines model-based and model-free aspects for online planning. Our architecture learns to dynamically construct plans using a learned…

Machine Learning · Computer Science 2019-02-05 Norman Tasfi , Miriam Capretz

Recent advancement in generative models have demonstrated remarkable performance across various data modalities. Beyond their typical use in data synthesis, these models play a crucial role in distribution matching tasks such as latent…

Machine Learning · Computer Science 2025-08-19 Sagar Shrestha , Rajesh Shrestha , Tri Nguyen , Subash Timilsina

The potential of neural networks (NN) in engineering is rooted in their capacity to understand intricate patterns and complex systems, leveraging their universal nonlinear approximation capabilities and high expressivity. Meanwhile,…

Computational Engineering, Finance, and Science · Computer Science 2025-01-23 Mohammed Abda , Elsa Piollet , Christopher Blake , Frédérick P. Gosselin

Simulating discontinuities is a long standing problem especially for shock waves with strong nonlinear feather. Despite being a promising method, the recently developed physics-informed neural network (PINN) is still weak for calculating…

Fluid Dynamics · Physics 2025-06-24 Li Liu , Shengping Liu , Hui Xie , Fansheng Xiong , Tengchao Yu , Mengjuan Xiao , Lufeng Liu , Heng Yong

Partial Differential Equations (PDE) are fundamental to model different phenomena in science and engineering mathematically. Solving them is a crucial step towards a precise knowledge of the behaviour of natural and engineered systems. In…

High percentage penetrations of renewable energy generations introduce significant uncertainty into power systems. It requires grid operators to solve alternative current optimal power flow (AC-OPF) problems more frequently for economical…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Xiang Pan , Minghua Chen , Tianyu Zhao , Steven H. Low

Recent years have witnessed the deployment of adversarial attacks to evaluate the robustness of Neural Networks. Past work in this field has relied on traditional optimization algorithms that ignore the inherent structure of the problem and…

Machine Learning · Computer Science 2021-06-01 Florian Jaeckle , M. Pawan Kumar

As advances in Deep Neural Networks (DNNs) demonstrate unprecedented levels of performance in many critical applications, their vulnerability to attacks is still an open question. We consider evasion attacks at testing time against Deep…

Cryptography and Security · Computer Science 2022-06-16 Alesia Chernikova , Alina Oprea