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In financial markets, low prices are generally associated with high volatilities and vice-versa, this well known stylized fact usually being referred to as leverage effect. We propose a local volatility model, given by a stochastic…

Computational Finance · Quantitative Finance 2019-02-25 Antoine Lejay , Paolo Pigato

Graph models provide efficient tools to capture the underlying structure of data defined over networks. Many real-world network topologies are subject to change over time. Learning to model the dynamic interactions between entities in such…

Machine Learning · Computer Science 2025-01-03 Amirhossein Javaheri , Jiaxi Ying , Daniel P. Palomar , Farokh Marvasti

We revisit macroeconomic time-varying parameter vector autoregressions (TVP-VARs), whose persistent coefficients may adapt too slowly to large, abrupt shifts such as those during major crises. We explore the performance of an…

Econometrics · Economics 2025-12-04 Nicolas Hardy , Dimitris Korobilis

Fractional order differential and difference equations are used to model systems with memory. Variable order fractional equations are proposed to model systems where the memory changes in time. We investigate stability conditions for linear…

Dynamical Systems · Mathematics 2025-02-12 Prashant M. Gade , Sachin Bhalekar , Janardhan Chevala

The centralized power generation infrastructure that defines the North American electric grid is slowly moving to the distributed architecture due to the explosion in use of renewable generation and distributed energy resources (DERs), such…

Optimization and Control · Mathematics 2022-04-27 Mayank Baranwal , Kunal Garg , Dimitra Panagou , Alfred O. Hero

Accurately forecasting daily exchange rate returns represents a longstanding challenge in international finance, as the exchange rate returns are driven by a multitude of correlated market factors and exhibit high-frequency fluctuations.…

Computational Finance · Quantitative Finance 2026-01-21 Dinggao Liu , Robert Ślepaczuk , Zhenpeng Tang

The vector autoregression (VAR) has been widely used in system identification, econometrics, natural science, and many other areas. However, when the state dimension becomes large the parameter dimension explodes. So rank reduced modelling…

Methodology · Statistics 2024-10-04 Xinhui Rong , Victor Solo

Correlation networks were used to detect characteristics which, although fixed over time, have an important influence on the evolution of prices over time. Potentially important features were identified using the websites and whitepapers of…

Computational Finance · Quantitative Finance 2018-06-19 Andrew Burnie

In this paper we propose a time-varying parameter (TVP) vector error correction model (VECM) with heteroskedastic disturbances. We propose tools to carry out dynamic model specification in an automatic fashion. This involves using…

Econometrics · Economics 2023-04-18 Niko Hauzenberger , Michael Pfarrhofer , Luca Rossini

This study presents a physically informed hybrid time-frequency and machine learning (STFT-ML) framework for arc stability monitoring in electric arc welding systems. The primary current signal is modeled as a stochastic representation of…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Tahir Cetin Akinci , Gokhan Gokmen , Alfredo A. Martinez-Morales

We measure the influence of different time-scales on the dynamics of financial market data. This is obtained by decomposing financial time series into simple oscillations associated with distinct time-scales. We propose two new time-varying…

Statistical Finance · Quantitative Finance 2016-11-23 Noemi Nava , Tiziana Di Matteo , Tomaso Aste

Many astrophysical phenomena are time-varying, in the sense that their brightness change over time. In the case of periodic stars, previous approaches assumed that changes in period, amplitude, and phase are well described by either…

Methodology · Statistics 2022-02-02 Giovanni Motta , Darlin Soto , Márcio Catelan

This is the first paper that estimates the price determinants of BitCoin in a Generalised Autoregressive Conditional Heteroscedasticity framework using high frequency data. Derived from a theoretical model, we estimate BitCoin transaction…

Statistical Finance · Quantitative Finance 2018-12-27 Pavel Ciaian , d'Artis Kancs , Miroslava Rajcaniova

We model the dynamics of the cryptocurrency (CC) asset class via a stochastic volatility with correlated jumps (SVCJ) model with rolling-window parameter estimates. By analyzing the time-series of parameters, stylized patterns are…

Statistical Finance · Quantitative Finance 2022-01-07 Konstantin Häusler , Wolfgang Karl Härdle

This paper is concerned with the global stability of non-critical/critical traveling waves with oscillations for time-delayed nonlocal dispersion equations. We first theoretically prove that all traveling waves, especially the critical…

Analysis of PDEs · Mathematics 2020-06-24 Tianyuan Xu , Shanming Ji , Rui Huang , Ming Mei , Jingxue Yin

In the frictionless discrete time financial market of Bouchard et al.(2015) we consider a trader who, due to regulatory requirements or internal risk management reasons, is required to hedge a claim $\xi$ in a risk-conservative way relative…

Mathematical Finance · Quantitative Finance 2019-02-19 Laurence Carassus , Jan Obloj , Johannes Wiesel

We investigate topology and temporal evolution of the foreign currency exchange market viewed from a weighted network perspective. Based on exchange rates for a set of 46 currencies (including precious metals), we construct different…

Statistical Finance · Quantitative Finance 2009-02-02 Jaroslaw Kwapien , Sylwia Gworek , Stanislaw Drozdz

This paper aims to study the prediction of the bank stability index based on the Time Series Transformer model. The bank stability index is an important indicator to measure the health status and risk resistance of financial institutions.…

Risk Management · Quantitative Finance 2024-12-06 Wenying Sun , Zhen Xu , Wenqing Zhang , Kunyuan Ma , You Wu , Mengfang Sun

The usage of a spot volatility estimate based on a volatility decomposition in a time-changed price-model according to the trading times is investigated. In this model clock-time volatility splits up into the product of tick-time volatility…

Probability · Mathematics 2016-05-10 Rainer Dahlhaus , Sophon Tunyavetchakit

One of the most important questions in blazar physics is the origin of broadband emission and fast-flux variation. In this work, we studied the broadband temporal and spectral properties of a TeV blazar 1ES 1727+502 and explore the one-zone…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Raj Prince , Rukaiya Khatoon , Pratik Majumdar , Bożena Czerny , Nayantara Gupta