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For multi-scale problems, the conventional physics-informed neural networks (PINNs) face some challenges in obtaining available predictions. In this paper, based on PINNs, we propose a practical deep learning framework for multi-scale…

机器学习 · 计算机科学 2024-12-18 Yong Wang , Yanzhong Yao , Jiawei Guo , Zhiming Gao

In complex engineering systems such as electro-thermal-fluid coupling, rapid and accurate prediction of multi-physics fields is essential for advanced applications like digital twins and real-time condition monitoring. Traditional numerical…

计算物理 · 物理学 2026-03-25 Baitong Zhou , Ze Tao , Fujun Liu , Xuan Fang

We propose a deep Recurrent neural network (RNN) framework for computing prices and deltas of American options in high dimensions. Our proposed framework uses two deep RNNs, where one network learns the price and the other learns the delta…

数理金融 · 定量金融 2023-01-20 Andrew Na , Justin Wan

Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itself. PINNs are nowadays used to solve PDEs, fractional…

In this work, we present the physics-informed neural network (PINN) model applied particularly to dynamic problems in solid mechanics. We focus on forward and inverse problems. Particularly, we show how a PINN model can be used efficiently…

神经与进化计算 · 计算机科学 2025-12-16 Vijay Kag , Venkatesh Gopinath

Partial differential equation (PDE) solvers underpin modern quantitative finance, governing option pricing and risk evaluation. Physics-Informed Neural Networks (PINNs) have emerged as a promising approach for solving the forward and…

计算工程、金融与科学 · 计算机科学 2025-10-07 Akshay Govind Srinivasan , Anuj Jagannath Said , Sathwik Pentela , Vikas Dwivedi , Balaji Srinivasan

Volatility, which indicates the dispersion of returns, is a crucial measure of risk and is hence used extensively for pricing and discriminating between different financial investments. As a result, accurate volatility prediction receives…

计算金融 · 定量金融 2024-10-02 Zeda Xu , John Liechty , Sebastian Benthall , Nicholas Skar-Gislinge , Christopher McComb

Convolutional Neural Networks have rapidly become the most successful machine learning algorithm, enabling ubiquitous machine vision and intelligent decisions on even embedded computing-systems. While the underlying arithmetic is…

硬件体系结构 · 计算机科学 2018-09-13 Michaela Blott , Thomas Preusser , Nicholas Fraser , Giulio Gambardella , Kenneth O'Brien , Yaman Umuroglu

As a typical application of deep learning, physics-informed neural network (PINN) {has been} successfully used to find numerical solutions of partial differential equations (PDEs), but how to improve the limited accuracy is still a great…

机器学习 · 计算机科学 2022-08-09 Zhi-Yong Zhang , Hui Zhang , Li-Sheng Zhang , Lei-Lei Guo

Surface-from-gradients (SfG) aims to recover a three-dimensional (3D) surface from its gradients. Traditional methods encounter significant challenges in achieving high accuracy and handling high-resolution inputs, particularly facing the…

计算机视觉与模式识别 · 计算机科学 2025-01-22 Jiaqi Leng , Yakun Ju , Yuanxu Duan , Jiangnan Zhang , Qingxuan Lv , Zuxuan Wu , Hao Fan

Graph neural networks (GNNs) naturally align with sparse operators and unstructured discretizations, making them a promising paradigm for physics-informed machine learning in computational mechanics. Motivated by discrete physics losses and…

机器学习 · 计算机科学 2026-02-10 Jianchuan Yang , Xi Chen , Jidong Zhao

Physics-informed neural networks (PINNs) are effective in solving integer-order partial differential equations (PDEs) based on scattered and noisy data. PINNs employ standard feedforward neural networks (NNs) with the PDEs explicitly…

计算物理 · 物理学 2021-11-03 Guofei Pang , Lu Lu , George Em Karniadakis

Deep hedging is a framework for hedging derivatives in the presence of market frictions. In this study, we focus on the problem of hedging a given target option by using multiple options. To extend the deep hedging framework to this…

计算金融 · 定量金融 2023-05-23 Masanori Hirano , Kentaro Imajo , Kentaro Minami , Takuya Shimada

We tackle the challenge of predicting vibrational stability in inorganic semiconductors for high-throughput screening, an essential attribute for evaluating synthesizability alongside thermodynamic stability, frequently missing in prominent…

材料科学 · 物理学 2025-12-29 M. H. Zeb , M. Z. Kabir

Cryptocurrency trading represents a nascent field of research, with growing adoption in industry. Aided by its decentralised nature, many metrics describing cryptocurrencies are accessible with a simple Google search and update frequently,…

交易与市场微观结构 · 定量金融 2023-07-27 Tom Liu , Stefan Zohren

Accurate option pricing is essential for effective trading and risk management in financial markets, yet it remains challenging due to market volatility and the limitations of traditional models like Black-Scholes. In this paper, we…

计算工程、金融与科学 · 计算机科学 2025-06-09 Feliks Bańka , Jarosław A. Chudziak

The development of biophysical models for clinical applications is rapidly advancing in the research community, thanks to their predictive nature and their ability to assist the interpretation of clinical data. However, high-resolution and…

In this paper we formulate a regression problem to predict realized volatility by using option price data and enhance VIX-styled volatility indices' predictability and liquidity. We test algorithms including regularized regression and…

数理金融 · 定量金融 2019-09-24 Peter Carr , Liuren Wu , Zhibai Zhang

Efficient simulation of Laser Powder Bed Fusion (LPBF) is crucial for process prediction due to the lasting issue of high computational cost associated with traditional numerical methods such as finite element analysis (FEA). While a…

机器学习 · 计算机科学 2026-05-25 R. Sharma , Y. B. Guo

Extracting implied information, like volatility and/or dividend, from observed option prices is a challenging task when dealing with American options, because of the computational costs needed to solve the corresponding mathematical problem…

计算金融 · 定量金融 2020-02-05 Shuaiqiang Liu , Álvaro Leitao , Anastasia Borovykh , Cornelis W. Oosterlee