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Solving inverse problems governed by partial differential equations (PDEs) is central to science and engineering, yet remains challenging when measurements are sparse, noisy, or when the underlying coefficients are high-dimensional or…

Machine Learning · Computer Science 2025-11-06 Gang Bao , Yaohua Zang

We introduce physics informed neural networks -- neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations. In this second…

Artificial Intelligence · Computer Science 2017-11-30 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

Differential graphical models are designed to represent the difference between the conditional dependence structures of two groups, thus are of particular interest for scientific investigation. Motivated by modern applications, this…

Statistics Theory · Mathematics 2021-02-03 Sen Na , Mladen Kolar , Oluwasanmi Koyejo

Domain Adaptation is an actively researched problem in Computer Vision. In this work, we propose an approach that leverages unsupervised data to bring the source and target distributions closer in a learned joint feature space. We…

Computer Vision and Pattern Recognition · Computer Science 2018-04-16 Swami Sankaranarayanan , Yogesh Balaji , Carlos D. Castillo , Rama Chellappa

Physics-informed neural networks (PINNs) represent a significant advancement in scientific machine learning by integrating fundamental physical laws into their architecture through loss functions. PINNs have been successfully applied to…

Machine Learning · Computer Science 2024-07-16 Wei Zhou , Y. F. Xu

Quantum machine learning is expected to be one of the first practical applications of near-term quantum devices. Pioneer theoretical works suggest that quantum generative adversarial networks (GANs) may exhibit a potential exponential…

Generative adversarial networks (GAN) have been effective for learning generative models for real-world data. However, existing GANs (GAN and its variants) tend to suffer from training problems such as instability and mode collapse. In this…

Machine Learning · Computer Science 2018-03-05 Chaoyue Wang , Chang Xu , Xin Yao , Dacheng Tao

We present a general computational framework for solving continuous-time financial market equilibria under minimal modeling assumptions while incorporating realistic financial frictions, such as trading costs, and supporting multiple…

Mathematical Finance · Quantitative Finance 2025-04-08 Anastasis Kratsios , Xiaofei Shi , Qiang Sun , Zhanhao Zhang

A conditional latent-diffusion based framework for solving the electromagnetic inverse scattering problem associated with microwave imaging is introduced. This generative machine-learning model explicitly mirrors the non-uniqueness of the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-30 Shirin Chehelgami , Joe LoVetri , Vahab Khoshdel

We propose a hybrid quantum-classical approach to model continuous classical probability distributions using a variational quantum circuit. The architecture of the variational circuit consists of two parts: a quantum circuit employed to…

Quantum Physics · Physics 2019-01-04 Jonathan Romero , Alan Aspuru-Guzik

Generative adversarial networks are a novel method for statistical inference that have achieved much empirical success; however, the factors contributing to this success remain ill-understood. In this work, we attempt to analyze generative…

Machine Learning · Computer Science 2018-09-13 Shuang Liu , Kamalika Chaudhuri

Generative Adversarial Networks (GANs) have become predominant in image generation tasks. Their success is attributed to the training regime which employs two models: a generator G and discriminator D that compete in a minimax zero sum…

Machine Learning · Computer Science 2020-11-25 Ariel Ruiz-Garcia , Ibrahim Almakky , Vasile Palade , Luke Hicks

Training Generative Adversarial Networks (GANs) remains a challenging problem. The discriminator trains the generator by learning the distribution of real/generated data. However, the distribution of generated data changes throughout the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Wentian Zhang , Haozhe Liu , Bing Li , Jinheng Xie , Yawen Huang , Yuexiang Li , Yefeng Zheng , Bernard Ghanem

Neural conversational models learn to generate responses by taking into account the dialog history. These models are typically optimized over the query-response pairs with a maximum likelihood estimation objective. However, the…

Computation and Language · Computer Science 2020-03-05 Shaoxiong Feng , Hongshen Chen , Kan Li , Dawei Yin

This paper presents a novel physics-informed diffusion model for generating synthetic net load data, addressing the challenges of data scarcity and privacy concerns. The proposed framework embeds physical models within denoising networks,…

Machine Learning · Computer Science 2024-06-05 Shaorong Zhang , Yuanbin Cheng , Nanpeng Yu

Physics Informed Machine Learning has emerged as a popular approach for modeling and simulation in digital twins, enabling the generation of accurate models of processes and behaviors in real-world systems. However, existing methods either…

Machine Learning · Computer Science 2025-07-15 Muhammad Saad Zia , Ashiq Anjum , Lu Liu , Anthony Conway , Anasol Pena Rios

One of the main motivations for training high quality image generative models is their potential use as tools for image manipulation. Recently, generative adversarial networks (GANs) have been able to generate images of remarkable quality.…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Aviv Gabbay , Yedid Hoshen

The visual world we sense, interpret and interact everyday is a complex composition of interleaved physical entities. Therefore, it is a very challenging task to generate vivid scenes of similar complexity using computers. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Mehmet Ozgur Turkoglu , William Thong , Luuk Spreeuwers , Berkay Kicanaoglu

Generating images via the generative adversarial network (GAN) has attracted much attention recently. However, most of the existing GAN-based methods can only produce low-resolution images of limited quality. Directly generating…

Computer Vision and Pattern Recognition · Computer Science 2019-04-01 Yong Guo , Qi Chen , Jian Chen , Qingyao Wu , Qinfeng Shi , Mingkui Tan

Deep generative models have shown promising results in generating realistic images, but it is still non-trivial to generate images with complicated structures. The main reason is that most of the current generative models fail to explore…

Machine Learning · Computer Science 2018-07-12 Kun Xu , Haoyu Liang , Jun Zhu , Hang Su , Bo Zhang
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