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We study the volatility of the MIB30-stock-index high-frequency data from November 28, 1994 through September 15, 1995. Our aim is to empirically characterize the volatility random walk in the framework of continuous-time finance. To this…

Statistical Mechanics · Physics 2008-12-02 Marco Raberto , Enrico Scalas , Gianaurelio Cuniberti , Massimo Riani

Recently, inference about high-dimensional integrated covariance matrices (ICVs) based on noisy high-frequency data has emerged as a challenging problem. In the literature, a pre-averaging estimator (PA-RCov) is proposed to deal with the…

Methodology · Statistics 2017-02-14 Keren Shen , Jianfeng Yao , Wai Keung Li

In this paper, we consider estimating spot/instantaneous volatility matrices of high-frequency data collected for a large number of assets. We first combine classic nonparametric kernel-based smoothing with a generalised shrinkage technique…

Econometrics · Economics 2026-04-22 Ruijun Bu , Degui Li , Oliver Linton , Hanchao Wang

We propose a generic calibration framework to both vanilla and no-touch options for a large class of continuous semi-martingale models. The method builds upon the forward partial integro-differential equation (PIDE) derived in Hambly et al.…

Mathematical Finance · Quantitative Finance 2025-11-19 Alan Bain , Matthieu Mariapragassam , Christoph Reisinger

In this paper, we consider Caputo type fractional stochastic time-delay system with permutable matrices. We derive stochastic analogue of variation of constants formula via a newly defined delayed Mittag-Leffer type matrix function. Thus,…

Dynamical Systems · Mathematics 2020-09-23 Arzu Ahmadova , Ismail T. Huseynov , Nazim I. Mahmudov

This paper introduces a global stock market volatility forecasting model that enhances forecasting accuracy and practical utility in real-world financial decision-making by integrating dynamic graph structures and encompassing all active…

General Finance · Quantitative Finance 2025-09-17 Zhengyang Chi , Junbin Gao , Chao Wang

Time-varying parameter (TVP) regression models can involve a huge number of coefficients. Careful prior elicitation is required to yield sensible posterior and predictive inferences. In addition, the computational demands of Markov Chain…

Econometrics · Economics 2023-05-15 Niko Hauzenberger , Florian Huber , Gary Koop

This paper introduces a methodology for constructing a market index composed of a liquid risky asset and a liquid risk-free asset that achieves a fixed target volatility. Existing volatility-targeting strategies typically scale portfolio…

Given $n$ i.i.d. observations of a random vector $(X,Z)$, where $X$ is a high-dimensional vector and $Z$ is a low-dimensional index variable, we study the problem of estimating the conditional inverse covariance matrix $\Omega(z) =…

Machine Learning · Statistics 2014-12-25 Jialei Wang , Mladen Kolar

A demonstration of a real-time and continuous turn-taking prediction system is presented. The system is based on a voice activity projection (VAP) model, which directly maps dialogue stereo audio to future voice activities. The VAP model…

Computation and Language · Computer Science 2024-01-11 Koji Inoue , Bing'er Jiang , Erik Ekstedt , Tatsuya Kawahara , Gabriel Skantze

Sparse principal component analysis (PCA) is a popular dimensionality reduction technique for obtaining principal components which are linear combinations of a small subset of the original features. Existing approaches cannot supply…

Optimization and Control · Mathematics 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

This paper develops a new method for voltage instability prediction using a recurrent neural network with long short-term memory. The method is aimed to be used as a supplementary warning system for system operators, capable of assessing…

Systems and Control · Electrical Eng. & Systems 2019-08-16 Hannes Hagmar , Lang Tong , Robert Eriksson , Le Anh Tuan

Motivated by the literature on investment flows and optimal trading, we examine intraday predictability in the cross-section of stock returns. We find a striking pattern of return continuation at half-hour intervals that are exact multiples…

Trading and Market Microstructure · Quantitative Finance 2010-05-20 Steven L. Heston , Robert A. Korajczyk , Ronnie Sadka

Successful quantitative investment usually relies on precise predictions of the future movement of the stock price. Recently, machine learning based solutions have shown their capacity to give more accurate stock prediction and become…

Machine Learning · Computer Science 2021-06-28 Hengxu Lin , Dong Zhou , Weiqing Liu , Jiang Bian

We examine volatility of an Indian stock market in terms of aspects like participation, synchronization of stocks and quantification of volatility using the random matrix approach. Volatility pattern of the market is found using the BSE…

Physics and Society · Physics 2008-12-02 V. Kulkarni , N. Deo

We construct a statistical indicator for the detection of short-term asset price bubbles based on the information content of bid and ask market quotes for plain vanilla put and call options. Our construction makes use of the martingale…

Pricing of Securities · Quantitative Finance 2018-07-17 Petteri Piiroinen , Lassi Roininen , Tobias Schoden , Martin Simon

We present a stochastic model predictive control (MPC) method for linear discrete-time systems subject to possibly unbounded and correlated additive stochastic disturbance sequences. Chance constraints are treated in analogy to robust MPC…

Systems and Control · Computer Science 2019-01-23 Lukas Hewing , Kim P. Wabersich , Melanie N. Zeilinger

Rough volatility models have recently been empirically shown to provide a good fit to historical volatility time series and implied volatility smiles of SPX options. They are continuous-time stochastic volatility models, whose volatility…

Mathematical Finance · Quantitative Finance 2021-11-01 Jingtang Ma , Wensheng Yang , Zhenyu Cui

We propose a new method for identifying and estimating the CP-factor models for matrix time series. Unlike the generalized eigenanalysis-based method of Chang et al. (2023) for which the convergence rates of the associated estimators may…

Methodology · Statistics 2025-07-29 Jinyuan Chang , Yue Du , Guanglin Huang , Qiwei Yao

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