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Auxiliary information can be exploited in machine learning models using the paradigm of evidence based conditional inference. Multi-modal techniques in Deep Neural Networks (DNNs) can be seen as perturbing the latent feature representation…

Computer Vision and Pattern Recognition · Computer Science 2019-12-09 Dinesh Khandelwal , Suyash Agrawal , Parag Singla , Chetan Arora

Understanding how animals learn is a central challenge in neuroscience, with growing relevance to the development of animal- or human-aligned artificial intelligence. However, existing approaches tend to assume fixed parametric forms for…

Machine Learning · Computer Science 2026-02-06 Yuhan Helena Liu , Victor Geadah , Jonathan Pillow

There has been a significant recent surge in deep neural network (DNN) techniques. Most of the existing DNN techniques have restricted model formats/assumptions. To overcome their limitations, we propose the nonparametric transformation…

Methodology · Statistics 2024-10-28 Tong Wang , Shunqin Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

Deep neural networks (DNNs) have been widely used to solve partial differential equations (PDEs) in recent years. In this work, a novel deep learning-based framework named Particle Weak-form based Neural Networks (ParticleWNN) is developed…

Machine Learning · Computer Science 2023-11-14 Yaohua Zang , Gang Bao

The fusion of artificial intelligence (AI) with physics-guided frameworks has opened transformative avenues for advancing the design and optimization of electromagnetic and nanophotonic systems. Innovations in deep neural networks (DNNs)…

Recurrent neural networks (RNNs) have been extraordinarily successful for prediction with sequential data. To tackle highly variable and noisy real-world data, we introduce Particle Filter Recurrent Neural Networks (PF-RNNs), a new RNN…

Machine Learning · Computer Science 2019-12-03 Xiao Ma , Peter Karkus , David Hsu , Wee Sun Lee

Physics-Informed Neural Network (PINN) is a novel multi-task learning framework useful for solving physical problems modeled using differential equations (DEs) by integrating the knowledge of physics and known constraints into the…

Machine Learning · Computer Science 2024-09-18 Shivprasad Kathane , Shyamprasad Karagadde

This work concerns the application of physics-informed neural networks to the modeling and control of complex robotic systems. Achieving this goal required extending Physics Informed Neural Networks to handle non-conservative effects. We…

Robotics · Computer Science 2023-07-07 Jingyue Liu , Pablo Borja , Cosimo Della Santina

Weight decay is a standard technique to improve generalization performance in modern deep neural network optimization, and is also widely adopted in federated learning (FL) to prevent overfitting in local clients. In this paper, we first…

Machine Learning · Computer Science 2024-02-19 Junbo Li , Ang Li , Chong Tian , Qirong Ho , Eric P. Xing , Hongyi Wang

We propose a novel deep neural network (DNN) based approximation architecture to learn estimates of measurements. We detail an algorithm that enables training of the DNN. The DNN estimator only uses measurements, if and when they are…

Machine Learning · Computer Science 2022-09-13 Shivangi Agarwal , Sanjit K. Kaul , Saket Anand , P. B. Sujit

Autonomous racing is a critical research area for autonomous driving, presenting significant challenges in vehicle dynamics modeling, such as balancing model precision and computational efficiency at high speeds (>280km/h), where minor…

Robotics · Computer Science 2024-12-03 John Chrosniak , Jingyun Ning , Madhur Behl

Understanding real-world dynamical phenomena remains a challenging task. Across various scientific disciplines, machine learning has advanced as the go-to technology to analyze nonlinear dynamical systems, identify patterns in big data, and…

Machine Learning · Computer Science 2022-12-07 Kevin Linka , Amelie Schafer , Xuhui Meng , Zongren Zou , George Em Karniadakis , Ellen Kuhl

Physics-informed neural networks have gained growing interest. Specifically, they are used to solve partial differential equations governing several physical phenomena. However, physics-informed neural network models suffer from several…

Computational Engineering, Finance, and Science · Computer Science 2022-11-29 Diab W. Abueidda , Seid Koric , Erman Guleryuz , Nahil A. Sobh

Deep neural networks are among the most widely applied machine learning tools showing outstanding performance in a broad range of tasks. We present a method for folding a deep neural network of arbitrary size into a single neuron with…

Machine Learning · Computer Science 2021-09-15 Florian Stelzer , André Röhm , Raul Vicente , Ingo Fischer , Serhiy Yanchuk

Active learning optimizes the exploration of large parameter spaces by strategically selecting which experiments or simulations to conduct, thus reducing resource consumption and potentially accelerating scientific discovery. A key…

Machine Learning · Computer Science 2024-05-20 Maxim Ziatdinov

Physics-informed neural networks and operator networks have shown promise for effectively solving equations modeling physical systems. However, these networks can be difficult or impossible to train accurately for some systems of equations.…

Machine Learning · Computer Science 2023-11-22 Amanda A Howard , Sarah H Murphy , Shady E Ahmed , Panos Stinis

Inverse problems arise almost everywhere in science and engineering where we need to infer on a quantity from indirect observation. The cases of medical, biomedical, and industrial imaging systems are the typical examples. A very high…

Machine Learning · Computer Science 2025-02-20 Ali Mohammad-Djafari

Graph neural networks (GNNs) have been demonstrated to achieve state-of-the-art for a number of graph-based learning tasks, which leads to a rise in their employment in various domains. However, it has been shown that GNNs may inherit and…

Machine Learning · Computer Science 2022-05-23 O. Deniz Kose , Yanning Shen

Data-driven machine learning models often require extensive datasets, which can be costly or inaccessible, and their predictions may fail to comply with established physical laws. Current approaches for incorporating physical priors…

Machine Learning · Computer Science 2025-11-19 Matilde Valente , Tiago C. Dias , Vasco Guerra , Rodrigo Ventura

Deep-learning density functional theory (DFT) shows great promise to significantly accelerate material discovery and potentially revolutionize materials research. However, current research in this field primarily relies on data-driven…

Computational Physics · Physics 2024-08-14 Yang Li , Zechen Tang , Zezhou Chen , Minghui Sun , Boheng Zhao , He Li , Honggeng Tao , Zilong Yuan , Wenhui Duan , Yong Xu