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Stochastic recurrent neural networks with latent random variables of complex dependency structures have shown to be more successful in modeling sequential data than deterministic deep models. However, the majority of existing methods have…

Machine Learning · Computer Science 2020-04-24 Ehsan Hajiramezanali , Arman Hasanzadeh , Nick Duffield , Krishna Narayanan , Mingyuan Zhou , Xiaoning Qian

The aim of this work is to introduce a new stochastic volatility model for equity derivatives. To overcome some of the well-known problems of the Heston model, and more generally of the affine models, we define a new specification for the…

Pricing of Securities · Quantitative Finance 2014-09-19 José Da Fonseca , Claude Martini

Real-time calibration of stochastic volatility models (SVMs) is computationally bottlenecked by the need to repeatedly solve coupled partial differential equations (PDEs). In this work, we propose DeepSVM, a physics-informed Deep Operator…

Computational Finance · Quantitative Finance 2025-12-09 Kieran A. Malandain , Selim Kalici , Hakob Chakhoyan

Representation learning over graph structure data has been widely studied due to its wide application prospects. However, previous methods mainly focus on static graphs while many real-world graphs evolve over time. Modeling such evolution…

Machine Learning · Statistics 2020-09-02 Tijin Yan , Hongwei Zhang , Zirui Li , Yuanqing Xia

Volatility models of price fluctuations are well studied in the econometrics literature, with more than 50 years of theoretical and empirical findings. The recent advancements in neural networks (NN) in the deep learning field have…

Computational Finance · Quantitative Finance 2022-05-17 German Rodikov , Nino Antulov-Fantulin

Learning continuous-time stochastic dynamics is a fundamental and essential problem in modeling sporadic time series, whose observations are irregular and sparse in both time and dimension. For a given system whose latent states and…

Machine Learning · Computer Science 2021-04-30 Yingru Liu , Yucheng Xing , Xuewen Yang , Xin Wang , Jing Shi , Di Jin , Zhaoyue Chen

Stochastic volatility models describe asset prices $S_t$ as driven by an unobserved process capturing the random dynamics of volatility $\sigma_t$. Here, we quantify how much information about $\sigma_t$ can be inferred from asset prices…

Statistical Finance · Quantitative Finance 2015-12-29 Nils Bertschinger , Oliver Pfante

We present a large scale benchmark of modern deep learning architectures for a financial time series prediction and position sizing task, with a primary focus on Sharpe ratio optimization. Evaluating linear models, recurrent networks,…

Trading and Market Microstructure · Quantitative Finance 2026-03-03 Adir Saly-Kaufmann , Kieran Wood , Jan Peter-Calliess , Stefan Zohren

Grasping the historical volatility of stock market indices and accurately estimating are two of the major focuses of those involved in the financial securities industry and derivative instruments pricing. This paper presents the results of…

Mathematical Finance · Quantitative Finance 2022-05-04 Claudiu Vinte , Marcel Ausloos , Titus Felix Furtuna

This article introduces a dynamic spatiotemporal stochastic volatility (SV) model with explicit terms for the spatial, temporal, and spatiotemporal spillover effects. Moreover, the model includes time-invariant site-specific constant…

Methodology · Statistics 2023-11-10 Philipp Otto , Osman Doğan , Süleyman Taşpınar

It is well-known that deep neural networks (DNNs) have shown remarkable success in many fields. However, when adding an imperceptible magnitude perturbation on the model input, the model performance might get rapid decrease. To address this…

Machine Learning · Computer Science 2022-01-04 Hao Yang , Min Wang , Zhengfei Yu , Yun Zhou

A key problem in deep learning and computational neuroscience is relating the geometrical properties of neural representations to task performance. Here, we consider this problem for continuous decoding tasks where neural variability may…

Disordered Systems and Neural Networks · Physics 2025-07-01 Abdulkadir Canatar , SueYeon Chung

Portfolio construction traditionally relies on separately estimating expected returns and covariance matrices using historical statistics, often leading to suboptimal allocation under time-varying market conditions. This paper proposes a…

Portfolio Management · Quantitative Finance 2026-03-23 Keonvin Park

Stock price prediction has been the focus of a large amount of research but an acceptable solution has so far escaped academics. Recent advances in deep learning have motivated researchers to apply neural networks to stock prediction. In…

Statistical Finance · Quantitative Finance 2021-03-29 Firuz Kamalov , Linda Smail , Ikhlaas Gurrib

In this paper we use convolutional neural networks to find the H\"older exponent of simulated sample paths of the rBergomi model, a recently proposed stock price model used in mathematical finance. We contextualise this as a calibration…

Computational Finance · Quantitative Finance 2019-07-30 Henry Stone

Stock market prediction is still a challenging problem because there are many factors effect to the stock market price such as company news and performance, industry performance, investor sentiment, social media sentiment and economic…

General Finance · Quantitative Finance 2019-04-01 Rosdyana Mangir Irawan Kusuma , Trang-Thi Ho , Wei-Chun Kao , Yu-Yen Ou , Kai-Lung Hua

Accurately predicting stock repurchases is crucial for quantitative investment and risk management, yet traditional static models fail to capture the complex temporal dependencies of corporate financial conditions. This paper proposes a…

Statistical Finance · Quantitative Finance 2026-04-14 Xiang Ao , Jingxuan Zhang , Xinyu Zhao

We find various exact solutions for a new stochastic volatility (SV) model: the transition probability density, European-style option values, and (when it exists) the martingale defect. This may represent the first example of an SV model…

Computational Finance · Quantitative Finance 2019-05-28 Alan L. Lewis

The use of factor stochastic volatility models requires choosing the number of latent factors used to describe the dynamics of the financial returns process; however, empirical evidence suggests that the number and makeup of pertinent…

Applications · Statistics 2019-03-06 Taylor R. Brown

We propose and experimentally demonstrate an innovative stock index prediction method using a weighted optical reservoir computing system. We construct fundamental market data combined with macroeconomic data and technical indicators to…

Machine Learning · Computer Science 2024-08-02 Fang Wang , Ting Bu , Yuping Huang