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A new method for stochastic control based on neural networks and using randomisation of discrete random variables is proposed and applied to optimal stopping time problems. The method models directly the policy and does not need the…

Computational Finance · Quantitative Finance 2021-01-11 Thomas Deschatre , Joseph Mikael

Deep reinforcement learning has achieved many impressive results in recent years. However, tasks with sparse rewards or long horizons continue to pose significant challenges. To tackle these important problems, we propose a general…

Artificial Intelligence · Computer Science 2017-04-12 Carlos Florensa , Yan Duan , Pieter Abbeel

Emerging reinforcement learning techniques using deep neural networks have shown great promise in control optimization. They harness non-local regularities of noisy control trajectories and facilitate transfer learning between tasks. To…

Quantum Physics · Physics 2018-04-17 Murphy Yuezhen Niu , Sergio Boixo , Vadim Smelyanskiy , Hartmut Neven

In this paper, a highly parallel and derivative-free martingale neural network learning method is proposed to solve Hamilton-Jacobi-Bellman (HJB) equations arising from stochastic optimal control problems (SOCPs), as well as general…

Optimization and Control · Mathematics 2024-12-23 Wei Cai , Shuixin Fang , Wenzhong Zhang , Tao Zhou

We propose new machine learning schemes for solving high dimensional nonlinear partial differential equations (PDEs). Relying on the classical backward stochastic differential equation (BSDE) representation of PDEs, our algorithms estimate…

Probability · Mathematics 2020-06-08 Côme Huré , Huyên Pham , Xavier Warin

Neuromorphic computing and, in particular, spiking neural networks (SNNs) have become an attractive alternative to deep neural networks for a broad range of signal processing applications, processing static and/or temporal inputs from…

Hardware Architecture · Computer Science 2023-12-05 Souvik Kundu , Rui-Jie Zhu , Akhilesh Jaiswal , Peter A. Beerel

Deep learning has been applied to various tasks in the field of machine learning and has shown superiority to other common procedures such as kernel methods. To provide a better theoretical understanding of the reasons for its success, we…

Machine Learning · Statistics 2023-05-31 Satoshi Hayakawa , Taiji Suzuki

Deep learning, a branch of artificial intelligence, is a data-driven method that uses multiple layers of interconnected units or neurons to learn intricate patterns and representations directly from raw input data. Empowered by this…

Machine Learning · Computer Science 2025-07-28 Mohd Halim Mohd Noor , Ayokunle Olalekan Ige

In this paper, we propose forward and backward stochastic differential equations (FBSDEs) based deep neural network (DNN) learning algorithms for the solution of high dimensional quasilinear parabolic partial differential equations (PDEs),…

Numerical Analysis · Mathematics 2021-05-10 Wenzhong Zhang , Wei Cai

We develop an end-to-end workflow for the training and implementation of co-designed neural networks (NNs) for efficient field-programmable gate array (FPGA) and application-specific integrated circuit (ASIC) hardware. Our approach…

Machine Learning · Computer Science 2023-04-17 Javier Campos , Zhen Dong , Javier Duarte , Amir Gholami , Michael W. Mahoney , Jovan Mitrevski , Nhan Tran

Dynamic hedging is a financial strategy that consists in periodically transacting one or multiple financial assets to offset the risk associated with a correlated liability. Deep Reinforcement Learning (DRL) algorithms have been used to…

Computational Finance · Quantitative Finance 2025-04-18 Andrei Neagu , Frédéric Godin , Leila Kosseim

Deep neural networks, despite their success in numerous applications, often function without established theoretical foundations. In this paper, we bridge this gap by drawing parallels between deep learning and classical numerical analysis.…

Machine Learning · Computer Science 2023-10-04 Emanuele Zappala , Daniel Levine , Sizhuang He , Syed Rizvi , Sacha Levy , David van Dijk

Deep learning, a branch of machine learning, have been recently applied to high energy experimental and phenomenological studies. In this note we give a brief review on those applications using supervised deep learning. We first describe…

High Energy Physics - Phenomenology · Physics 2019-09-04 Murat Abdughani , Jie Ren , Lei Wu , Jin Min Yang , Jun Zhao

For an infinite-horizon control problem, the optimal control can be represented by the stable manifold of the characteristic Hamiltonian system of Hamilton-Jacobi-Bellman (HJB) equation in a semiglobal domain. In this paper, we first…

Optimization and Control · Mathematics 2024-05-14 Guoyuan Chen

Higher-order interactions (HOIs) are ubiquitous in real-world complex systems and applications. Investigation of deep learning for HOIs, thus, has become a valuable agenda for the data mining and machine learning communities. As networks of…

Machine Learning · Computer Science 2024-07-26 Sunwoo Kim , Soo Yong Lee , Yue Gao , Alessia Antelmi , Mirko Polato , Kijung Shin

In this work, we propose a class of numerical schemes for solving semilinear Hamilton-Jacobi-Bellman-Isaacs (HJBI) boundary value problems which arise naturally from exit time problems of diffusion processes with controlled drift. We…

Numerical Analysis · Mathematics 2020-02-14 Kazufumi Ito , Christoph Reisinger , Yufei Zhang

Deep learning is a group of exciting new technologies for neural networks. Through a combination of advanced training techniques and neural network architectural components, it is now possible to create neural networks that can handle…

Machine Learning · Computer Science 2022-05-18 Jeff Heaton

An iterative learning algorithm is presented for continuous-time linear-quadratic optimal control problems where the system is externally symmetric with unknown dynamics. Both finite-horizon and infinite-horizon problems are considered. It…

Optimization and Control · Mathematics 2025-10-10 Hamed Taghavian , Florian Dorfler , Mikael Johansson

In many areas, such as the physical sciences, life sciences, and finance, control approaches are used to achieve a desired goal in complex dynamical systems governed by differential equations. In this work we formulate the problem of…

Machine Learning · Computer Science 2021-12-09 Erfan Pirmorad , Faraz Khoshbakhtian , Farnam Mansouri , Amir-massoud Farahmand

Numerous groups have applied a variety of deep learning techniques to computer vision problems in highway perception scenarios. In this paper, we presented a number of empirical evaluations of recent deep learning advances. Computer vision,…