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This note outlines an approach to stress testing of covariance of financial time series, in the context of financial risk management. It discusses how the geodesic distance between covariance matrices implies a notion of plausibility of…

Risk Management · Quantitative Finance 2026-03-24 Piotr Chmielowski

In dealing with high-dimensional data sets, factor models are often useful for dimension reduction. The estimation of factor models has been actively studied in various fields. In the first part of this paper, we present a new approach to…

Statistical Finance · Quantitative Finance 2017-11-27 Joongyeub Yeo , George Papanicolaou

We study the estimation of moments and joint moments of microstructure noise. Estimators of arbitrary order of (joint) moments are provided, for which we establish consistency as well as central limit theorems. In particular, we provide…

Methodology · Statistics 2013-02-06 Jean Jacod , Yingying Li , Xinghua Zheng

Trend change prediction in complex systems with a large number of noisy time series is a problem with many applications for real-world phenomena, with stock markets as a notoriously difficult to predict example of such systems. We approach…

Computational Finance · Quantitative Finance 2018-11-30 Ben Moews , J. Michael Herrmann , Gbenga Ibikunle

Filtering signal from noise is fundamental to accurately assessing spillover effects in financial markets. This study investigates denoised return and volatility spillovers across a diversified set of markets, spanning developed and…

Risk Management · Quantitative Finance 2025-09-03 Abdullah Karasan , Özge Sezgin Alp

Identifying meaningful relationships between the price movements of financial assets is a challenging but important problem in a variety of financial applications. However with recent research, particularly those using machine learning and…

Statistical Finance · Quantitative Finance 2022-02-21 Rian Dolphin , Barry Smyth , Ruihai Dong

Financial time series often exhibit low signal-to-noise ratio, posing significant challenges for accurate data interpretation and prediction and ultimately decision making. Generative models have gained attention as powerful tools for…

Machine Learning · Computer Science 2024-09-05 Zhuohan Wang , Carmine Ventre

We develop a general approach for stress testing correlations of financial asset portfolios. The correlation matrix of asset returns is specified in a parametric form, where correlations are represented as a function of risk factors, such…

Risk Management · Quantitative Finance 2022-09-07 N. Packham , F. Woebbeking

Spatially correlated noise poses a significant challenge to fault-tolerant quantum computation by breaking the assumption of independent errors. Existing methods such as cycle benchmarking and quantum process tomography can characterize…

Quantum Physics · Physics 2026-02-11 Balázs Gulácsi , Joris Kattemölle , Guido Burkard

A novel method for noise reduction in the setting of curve time series with error contamination is proposed, based on extending the framework of functional principal component analysis (FPCA). We employ the underlying, finite-dimensional…

Methodology · Statistics 2023-07-06 Cees Diks , Bram Wouters

Noisy multi-label learning has garnered increasing attention due to the challenges posed by collecting large-scale accurate labels, making noisy labels a more practical alternative. Motivated by noisy multi-class learning, the introduction…

Machine Learning · Computer Science 2023-09-25 Shikun Li , Xiaobo Xia , Hansong Zhang , Shiming Ge , Tongliang Liu

In low-resource settings, the performance of supervised labeling models can be improved with automatically annotated or distantly supervised data, which is cheap to create but often noisy. Previous works have shown that significant…

Computation and Language · Computer Science 2019-11-06 Lukas Lange , Michael A. Hedderich , Dietrich Klakow

Periodograms are common tools used to search for periodic signals in unevenly spaced time series. The significance of periodogram peaks is often assessed using false alarm probability (FAP), which in most studies assumes uncorrelated noise…

Instrumentation and Methods for Astrophysics · Physics 2020-03-11 J. -B. Delisle , N. Hara , D. Ségransan

Inferring a process matrix characterizing a quantum channel from experimental measurements is a key issue of quantum information. Sometimes the noise affecting the measured counts brings to matrices very different from the expected ones and…

Quantum Physics · Physics 2024-01-31 Massimiliano Guarneri , Andrea Chiuri

In a fissile material, the inherent multiplicity of neutrons born through induced fissions leads to correlations in their detection statistics. The correlations between neutrons can be used to trace back some characteristics of the fissile…

Computation · Statistics 2022-11-17 Paul Lartaud , Philippe Humbert , Josselin Garnier

We develop a new stock market index that captures the chaos existing in the market by measuring the mutual changes of asset prices. This new index relies on a tensor-based embedding of the stock market information, which in turn frees it…

Statistical Finance · Quantitative Finance 2021-06-09 Masoud Ataei , Shengyuan Chen , Zijiang Yang , M. Reza Peyghami

Filtered Poisson processes are often used as reference models for intermittent fluc- tuations in physical systems. Such a process is here extended by adding a noise term, either as a purely additive term to the process or as a dynamical…

Data Analysis, Statistics and Probability · Physics 2018-05-04 Audun Theodorsen , Odd Erik Garcia , Martin Rypdal

The horizontal visibility algorithm has been recently introduced as a mapping between time series and networks. The challenge lies in characterizing the structure of time series (and the processes that generated those series) using the…

Data Analysis, Statistics and Probability · Physics 2016-12-21 Angel M. Núñez , Lucas Lacasa , Eusebio Valero , Jose Patricio Gómez , Bartolo Luque

The introduction of electronic trading platforms effectively changed the organisation of traditional systemic trading from quote-driven markets into order-driven markets. Its convenience led to an exponentially increasing amount of…

Machine Learning · Computer Science 2021-12-21 Yanqing Ma , Carmine Ventre , Maria Polukarov

Correlation matrices are a standard tool in the analysis of the time evolution of complex systems in general and financial markets in particular. Yet most analysis assume stationarity of the underlying time series. This tends to be an…

Mathematical Physics · Physics 2013-09-11 Vinayak , Rudi Schäfer , Thomas H. Seligman
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