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In this paper, we analyze dynamic programming as a novel approach to solve the problem of maximizing the profits of a bank. The mathematical model of the problem and the description of a bank's work is described in this paper. The problem…

General Finance · Quantitative Finance 2016-11-04 Oleg Malafeyev , Achal Awasthi

Partial differential equations frequently appear in the natural sciences and related disciplines. Solving them is often challenging, particularly in high dimensions, due to the "curse of dimensionality". In this work, we explore the…

Quantum Physics · Physics 2023-05-30 Lukas Mouton , Florentin Reiter , Ying Chen , Patrick Rebentrost

We investigate the effectiveness of different machine learning methodologies in predicting economic cycles. We identify the deep learning methodology of Bi-LSTM with Autoencoder as the most accurate model to forecast the beginning and end…

General Economics · Economics 2021-07-26 Zihao Wang , Kun Li , Steve Q. Xia , Hongfu Liu

Statistical (machine learning) tools for equation discovery require large amounts of data that are typically computer generated rather than experimentally observed. Multiscale modeling and stochastic simulations are two areas where learning…

Machine Learning · Statistics 2021-03-17 Joseph Bakarji , Daniel M. Tartakovsky

We examine whether and how granular, real-time predictive models should be integrated into central banks' macroprudential toolkit. First, we develop a tractable framework that formalizes the tradeoff regulators face when choosing between…

General Economics · Economics 2025-07-28 Christopher Clayton , Antonio Coppola

This work introduces a framework to address the computational complexity inherent in Mixed-Integer Programming (MIP) models by harnessing the potential of deep learning. By employing deep learning, we construct problem-specific heuristics…

Optimization and Control · Mathematics 2024-05-13 Niki Triantafyllou , Maria M. Papathanasiou

We present a novel approach for learning nonlinear dynamic models, which leads to a new set of tools capable of solving problems that are otherwise difficult. We provide theory showing this new approach is consistent for models with long…

Artificial Intelligence · Computer Science 2009-06-03 John Langford , Ruslan Salakhutdinov , Tong Zhang

Inference for mechanistic models is challenging because of nonlinear interactions between model parameters and a lack of identifiability. Here we focus on a specific class of mechanistic models, which we term stable differential equations.…

Computation · Statistics 2017-12-13 Philip Maybank , Ingo Bojak , Richard G. Everitt

End-to-end learning has become a widely applicable and studied problem in training predictive ML models to be aware of their impact on downstream decision-making tasks. These end-to-end models often outperform traditional methods that…

Machine Learning · Computer Science 2025-05-19 Rares Cristian , Pavithra Harsha , Georgia Perakis , Brian Quanz

Deep learning is revolutionizing weather forecasting, with new data-driven models achieving accuracy on par with operational physical models for medium-term predictions. However, these models often lack interpretability, making their…

Machine Learning · Computer Science 2024-09-11 David Millard , Arielle Carr , Stéphane Gaudreault

We initiate the study of deep learning for the automated design of two-sided matching mechanisms. What is of most interest is to use machine learning to understand the possibility of new tradeoffs between strategy-proofness and stability.…

Computer Science and Game Theory · Computer Science 2023-11-16 Sai Srivatsa Ravindranath , Zhe Feng , Shira Li , Jonathan Ma , Scott D. Kominers , David C. Parkes

Deep learning models have gained great popularity in statistical modeling because they lead to very competitive regression models, often outperforming classical statistical models such as generalized linear models. The disadvantage of deep…

Machine Learning · Computer Science 2021-07-26 Ronald Richman , Mario V. Wüthrich

Deep learning technologies have demonstrated remarkable effectiveness in a wide range of tasks, and deep learning holds the potential to advance a multitude of applications, including in edge computing, where deep models are deployed on…

Machine Learning · Computer Science 2022-08-24 Dalin Zhang , Kaixuan Chen , Yan Zhao , Bin Yang , Lina Yao , Christian S. Jensen

Lample and Charton (2019) describe a system that uses deep learning technology to compute symbolic, indefinite integrals, and to find symbolic solutions to first- and second-order ordinary differential equations, when the solutions are…

Machine Learning · Computer Science 2019-12-17 Ernest Davis

We propose a machine learning algorithm for solving finite-horizon stochastic control problems based on a deep neural network representation of the optimal policy functions. The algorithm has three features: (1) It can solve…

General Economics · Economics 2024-12-09 Xianhua Peng , Steven Kou , Lekang Zhang

One of the main tasks in the study of financial and economic processes is forecasting and analysis of the dynamics of these processes. Within this task lie important research questions including how to determine the qualitative properties…

Chaotic Dynamics · Physics 2021-02-03 Tatyana A. Alexeeva , William A. Barnett , Nikolay V. Kuznetsov , Timur N. Mokaev

Recent work has shown deep learning can accelerate the prediction of physical dynamics relative to numerical solvers. However, limited physical accuracy and an inability to generalize under distributional shift limit its applicability to…

Machine Learning · Computer Science 2021-03-17 Rui Wang , Robin Walters , Rose Yu

Generalized models provide a framework for the study of evolution equations without specifying all functional forms. The generalized formulation of problems has been shown to facilitate the analytical investigation of local dynamics and has…

Dynamical Systems · Mathematics 2014-06-24 Christian Kuehn , Stefan Siegmund , Thilo Gross

In recent years, machine learning and deep learning have become popular methods for financial data analysis, including financial textual data, numerical data, and graphical data. This paper proposes to use sentiment analysis to extract…

Statistical Finance · Quantitative Finance 2020-07-27 Yang Li , Yi Pan

With recent advancements in the development of artificial intelligence applications using theories and algorithms in machine learning, many accurate models can be created to train and predict on given datasets. With the realization of the…

Machine Learning · Computer Science 2024-03-29 Pei Xi , Lin