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The estimation of the Risk Neutral Density (RND) implicit in option prices is challenging, especially in illiquid markets. We introduce the Deep Log-Sum-Exp Neural Network, an architecture that leverages Deep and Transfer learning to…

Mathematical Finance · Quantitative Finance 2026-02-11 Andrea Conti , Giacomo Morelli

This paper explores the effectiveness of high-frequency options trading strategies enhanced by advanced portfolio optimization techniques, investigating their ability to consistently generate positive returns compared to traditional long or…

Trading and Market Microstructure · Quantitative Finance 2024-08-19 Sid Bhatia

Volatility, as a measure of uncertainty, plays a crucial role in numerous financial activities such as risk management. The Econometrics and Machine Learning communities have developed two distinct approaches for financial volatility…

Statistical Finance · Quantitative Finance 2024-02-13 Pengfei Zhao , Haoren Zhu , Wilfred Siu Hung NG , Dik Lun Lee

Volatility is a quantity of measurement for the price movements of stocks or options which indicates the uncertainty within financial markets. As an indicator of the level of risk or the degree of variation, volatility is important to…

Machine Learning · Computer Science 2018-11-12 Qiang Zhang , Rui Luo , Yaodong Yang , Yuanyuan Liu

We propose a Newton-based scheme, initialized by neural operator predictions, to accelerate the parametric solution of nonlinear problems in computational solid mechanics. First, a physics informed conditional neural field is trained to…

Machine Learning · Computer Science 2025-11-11 Kianoosh Taghikhani , Yusuke Yamazaki , Jerry Paul Varghese , Markus Apel , Reza Najian Asl , Shahed Rezaei

This study proposes a Newton based multiple objective optimization algorithm for hyperparameter search. The first order differential (gradient) is calculated using finite difference method and a gradient matrix with vectorization is formed…

Optimization and Control · Mathematics 2024-01-09 Qinwu Xu

Deep learning is a powerful tool whose applications in quantitative finance are growing every day. Yet, artificial neural networks behave as black boxes and this hinders validation and accountability processes. Being able to interpret the…

Pricing of Securities · Quantitative Finance 2021-04-20 Damiano Brigo , Xiaoshan Huang , Andrea Pallavicini , Haitz Saez de Ocariz Borde

Extracting the risk neutral density (RND) function from option prices is well defined in principle, but is very sensitive to errors in practice. For risk management, knowledge of the entire RND provides more information for Value-at-Risk…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Jerome V. Healy , Maurice Dixon , Brian J. Read , Fang Fang Cai

The Newton-Raphson (NR) method is widely used for solving power flow (PF) equations due to its quadratic convergence. However, its performance deteriorates under poor initialization or extreme operating scenarios, e.g., high levels of…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Zeynab Kaseb , Matthias Moller , Lindsay Spoor , Jerry J. Guo , Yu Xiang , Peter Palensky , Pedro P. Vergara

Maximum likelihood estimations for the parameters of extreme value distributions are discussed in this paper using fixed point iteration. The commonly used numerical approach for addressing this problem is the Newton-Raphson approach which…

Computation · Statistics 2009-02-03 Tewfik Kernane , Zohrh A. Raizah

Neutron reflectometry (NR) is a powerful technique to probe surfaces and interfaces. NR is inherently an indirect measurement technique, access to the physical quantities of interest (layer thickness, scattering length density, roughness),…

Computational efficient evaluation of penalized estimators of multivariate exponential family distributions is sought. These distributions encompass among others Markov random fields with variates of mixed type (e.g. binary and continuous)…

Methodology · Statistics 2020-12-29 Diederik S. Laman Trip , Wessel N. van Wieringen

Large-scale computations of fission properties are an important ingredient for nuclear reaction network calculations simulating rapid neutron-capture process (the r process) nucleosynthesis. Due to the large number of fissioning nuclei…

Nuclear Theory · Physics 2024-04-04 Daniel Lay , Eric Flynn , Samuel A. Giuliani , Witold Nazarewicz , Leó Neufcourt

Newton's method is a fundamental technique in optimization with quadratic convergence within a neighborhood around the optimum. However reaching this neighborhood is often slow and dominates the computational costs. We exploit two…

Machine Learning · Computer Science 2016-05-24 Hadi Daneshmand , Aurelien Lucchi , Thomas Hofmann

We examine whether news can improve realised volatility forecasting using a modern yet operationally simple NLP framework. News text is transformed into embedding-based representations, and forecasts are evaluated both as a standalone,…

Computational Finance · Quantitative Finance 2026-04-15 Eghbal Rahimikia , Stefan Zohren , Ser-Huang Poon

In this paper, we show that the recent integration of statistical models with deep recurrent neural networks provides a new way of formulating volatility (the degree of variation of time series) models that have been widely used in time…

Machine Learning · Computer Science 2018-12-06 Rui Luo , Weinan Zhang , Xiaojun Xu , Jun Wang

This study examines the use of a recurrent neural network for estimating the parameters of a Hawkes model based on high-frequency financial data, and subsequently, for computing volatility. Neural networks have shown promising results in…

Statistical Finance · Quantitative Finance 2023-04-25 Kyungsub Lee

A temporal point process is a mathematical model for a time series of discrete events, which covers various applications. Recently, recurrent neural network (RNN) based models have been developed for point processes and have been found…

Machine Learning · Computer Science 2020-01-13 Takahiro Omi , Naonori Ueda , Kazuyuki Aihara

Deep learning involves a difficult non-convex optimization problem, which is often solved by stochastic gradient (SG) methods. While SG is usually effective, it may not be robust in some situations. Recently, Newton methods have been…

Machine Learning · Statistics 2018-11-16 Chien-Chih Wang , Kent Loong Tan , Chih-Jen Lin

Representing a signal as a continuous function parameterized by neural network (a.k.a. Implicit Neural Representations, INRs) has attracted increasing attention in recent years. Neural Processes (NPs), which model the distributions over…

Machine Learning · Computer Science 2023-02-22 Zongyu Guo , Cuiling Lan , Zhizheng Zhang , Yan Lu , Zhibo Chen