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This paper explains the math behind a generative adversarial network (GAN) model and why it is hard to be trained. Wasserstein GAN is intended to improve GANs' training by adopting a smooth metric for measuring the distance between two…

Machine Learning · Computer Science 2019-04-22 Lilian Weng

We propose a self-supervised physics-informed neural network (PINN) framework that adaptively balances physics-based and data-driven supervision for scientific machine learning under data scarcity. Unlike prior PINNs that rely on fixed or…

Machine Learning · Computer Science 2026-05-08 Reza Pirayeshshirazinezhad

Generative Adversial Networks (GANs) have made a major impact in computer vision and machine learning as generative models. Wasserstein GANs (WGANs) brought Optimal Transport (OT) theory into GANs, by minimizing the $1$-Wasserstein distance…

Machine Learning · Computer Science 2019-02-12 Anton Mallasto , Jes Frellsen , Wouter Boomsma , Aasa Feragen

The performance of deep neural networks scales with dataset size and label quality, rendering the efficient mitigation of low-quality data annotations crucial for building robust and cost-effective systems. Existing strategies to address…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Francesco Di Salvo , Sebastian Doerrich , Ines Rieger , Christian Ledig

Event simulation for electron neutrino interactions plays a foundational role in precision measurements in particle physics experiments, yet the computational demand of traditional Monte Carlo methods remains a significant challenge,…

High Energy Physics - Phenomenology · Physics 2026-04-21 Dipthi S. , Kalyani Desikan

Model discovery aims at autonomously discovering differential equations underlying a dataset. Approaches based on Physics Informed Neural Networks (PINNs) have shown great promise, but a fully-differentiable model which explicitly learns…

Machine Learning · Statistics 2021-10-06 Gert-Jan Both , Remy Kusters

Artificial intelligence (AI) has revolutionized software development, shifting from task-specific codes (Software 1.0) to neural network-based approaches (Software 2.0). However, applying this transition in engineering software presents…

Idempotent Generative Networks (IGNs) are deep generative models that also function as local data manifold projectors, mapping arbitrary inputs back onto the manifold. They are trained to act as identity operators on the data and as…

Learning performance data, such as correct or incorrect responses to questions in Intelligent Tutoring Systems (ITSs) is crucial for tracking and assessing the learners' progress and mastery of knowledge. However, the issue of data…

Machine Learning · Computer Science 2024-09-23 Liang Zhang , Mohammed Yeasin , Jionghao Lin , Felix Havugimana , Xiangen Hu

The Wasserstein distance is a distance between two probability distributions and has recently gained increasing popularity in statistics and machine learning, owing to its attractive properties. One important approach to extending this…

Methodology · Statistics 2022-02-14 Ryo Okano , Masaaki Imaizumi

Differential equations are indispensable to engineering and hence to innovation. In recent years, physics-informed neural networks (PINN) have emerged as a novel method for solving differential equations. PINN method has the advantage of…

Computational Engineering, Finance, and Science · Computer Science 2022-01-07 Mayank Raj , Pramod Kumbhar , Ratna Kumar Annabattula

Generative Adversarial Networks are a popular method for learning distributions from data by modeling the target distribution as a function of a known distribution. The function, often referred to as the generator, is optimized to minimize…

Machine Learning · Computer Science 2021-11-03 Daria Reshetova , Yikun Bai , Xiugang Wu , Ayfer Ozgur

The deep learning framework is witnessing expansive growth into diverse applications such as biological systems, human cognition, robotics, and the social sciences, thanks to its immense ability to extract essential features from…

Disordered Systems and Neural Networks · Physics 2017-10-16 Zhaocheng Liu , Sean P. Rodrigues , Wenshan Cai

Generative adversarial networks (GANs) provide an algorithmic framework for constructing generative models with several appealing properties: they do not require a likelihood function to be specified, only a generating procedure; they…

Machine Learning · Statistics 2017-02-28 Shakir Mohamed , Balaji Lakshminarayanan

Contraction analysis offers, through elegant mathematical developments, a unified way of designing observers for a general class of nonlinear systems, where the observer correction term is obtained by solving an infinite dimensional…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Yasmine Marani , Israel Filho , Tareq Al-Naffouri , Taous-Meriem Laleg-Kirati

Hierarchical reinforcement learning composites subpolicies in different hierarchies to accomplish complex tasks.Automated subpolicies discovery, which does not depend on domain knowledge, is a promising approach to generating…

Machine Learning · Computer Science 2023-08-03 Haorui Li , Jiaqi Liang , Linjing Li , Daniel Zeng

Issued from Optimal Transport, the Wasserstein distance has gained importance in Machine Learning due to its appealing geometrical properties and the increasing availability of efficient approximations. In this work, we consider the problem…

Machine Learning · Statistics 2022-02-21 Guillaume Staerman , Pierre Laforgue , Pavlo Mozharovskyi , Florence d'Alché-Buc

We investigate under and overfitting in Generative Adversarial Networks (GANs), using discriminators unseen by the generator to measure generalization. We find that the model capacity of the discriminator has a significant effect on the…

Machine Learning · Statistics 2019-11-01 Ben Adlam , Charles Weill , Amol Kapoor

Convolutional Neural Networks(CNN) are inherently equivariant under translations, however, they do not have an equivalent embedded mechanism to handle other transformations such as rotations and change in scale. Several approaches exist…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Naman Khetan , Tushar Arora , Samee Ur Rehman , Deepak K. Gupta

Physics-informed neural networks (PINNs) are a class of deep learning models that utilize physics in the form of differential equations to address complex problems, including those with limited data availability. However, solving…

Machine Learning · Computer Science 2026-03-26 Himanshu Pandey , Anshima Singh , Ratikanta Behera