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A simple method is proposed to estimate the instantaneous correlations between state variables in a hybrid system from the empirical correlations between observable market quantities such as spot rate, stock price and implied volatility.…

Computational Finance · Quantitative Finance 2023-07-10 Baron Law

While Indices, Index tracking funds and ETFs have grown in popularity during then last ten years, there are many structural problems inherent in Index calculation methodologies and the legal/economic structure of ETFs. These problems raise…

General Finance · Quantitative Finance 2020-05-05 Michael C. Nwogugu

Interferometers (e.g. ALMA and NOEMA) allow us to obtain the detailed brightness distribution of astronomical sources in 3 dimensions (R.A., Dec., frequency). However, the spatial correlation of the noise makes it difficult to evaluate the…

Instrumentation and Methods for Astrophysics · Physics 2023-02-21 Takafumi Tsukui , Satoru Iguchi , Ikki Mitsuhashi , Kenichi Tadaki

We review the state of the art of clustering financial time series and the study of their correlations alongside other interaction networks. The aim of this review is to gather in one place the relevant material from different fields, e.g.…

Statistical Finance · Quantitative Finance 2021-04-14 Gautier Marti , Frank Nielsen , Mikołaj Bińkowski , Philippe Donnat

Label noise is a common problem in real-world datasets, affecting both model training and validation. Clean data are essential for achieving strong performance and ensuring reliable evaluation. While various techniques have been proposed to…

Machine Learning · Computer Science 2025-10-21 Henrique Pickler , Jorge K. S. Kamassury , Danilo Silva

Graph clustering problems typically aim to partition the graph nodes such that two nodes belong to the same partition set if and only if they are similar. Correlation Clustering is a graph clustering formulation which: (1) takes as input a…

Social and Information Networks · Computer Science 2021-10-19 Jimit Majmudar , Stephen Vavasis

We propose a nonparametric procedure to test for changes in correlation matrices at an unknown point in time. The new test requires only mild assumptions on the serial dependence structure and has considerable power in finite samples. We…

Methodology · Statistics 2014-10-29 Dominik Wied

In this paper, we present a test for the maximal rank of the volatility process in continuous diffusion models observed with noise. Such models are typically applied in mathematical finance, where latent price processes are corrupted by…

Statistics Theory · Mathematics 2019-04-08 Tobias Fissler , Mark Podolskij

Most biological systems are formed by component parts that to some degree are inter-related. Groups of parts that are more associated among themselves and are relatively autonomous from others are called modules. One of the consequences of…

Populations and Evolution · Quantitative Biology 2013-08-12 Gabriel Marroig , Diogo Melo , Guilherme Garcia

We present new, original and alternative method for searching signals coded in noisy data. The method is based on the properties of random matrix eigenvalue spectra. First, we describe general ideas and support them with results of…

Data Analysis, Statistics and Probability · Physics 2015-05-28 D. Grech , J. Miskiewicz

The paper introduces a novel methodology for the identification of coefficients of switched autoregressive linear models. We consider the case when the system's outputs are contaminated by possibly large values of measurement noise. It is…

Systems and Control · Computer Science 2019-03-27 Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

Many important tasks of large-scale recommender systems can be naturally cast as testing multiple linear forms for noisy matrix completion. These problems, however, present unique challenges because of the subtle bias-and-variance tradeoff…

Methodology · Statistics 2025-03-12 Wanteng Ma , Lilun Du , Dong Xia , Ming Yuan

Dynamics of complex systems is studied by first considering a chaotic time series generated by Lorenz equations and adding noise to it. The trend (smooth behavior) is separated from fluctuations at different scales using wavelet analysis…

Chaotic Dynamics · Physics 2009-11-11 Dilip P. Ahalpara , Jitendra C. Parikh

Peer effect estimation requires precise network measurement, yet most empirical networks are noisy, rendering standard estimators inconsistent. To address measurement error in networks, we propose a method to estimate peer effects in…

Methodology · Statistics 2026-05-06 Alex Hayes , Keith Levin

Noisy labels can impair model performance, making the study of learning with noisy labels an important topic. Two conventional approaches are noise modeling and noise detection. However, these two methods are typically studied…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Siqi Wang , Chau Pham , Bryan A. Plummer

In the field of financial fraud detection, understanding the underlying patterns and dynamics is important to ensure effective and reliable systems. This research introduces a new technique, "TimeTrail," which employs advanced temporal…

Machine Learning · Computer Science 2023-08-29 Sushrut Ghimire

We demonstrate how coupling nonlinear dynamical systems can reduce the effects of noise. For simplicity we investigate noisy coupled map lattices. Noise from different lattice nodes can diffuse across the lattice and lower the noise level…

Chaotic Dynamics · Physics 2015-11-24 Behnam Kia , Sarvenaz Kia , John F. Lindner , Sudeshna Sinha , William L. Ditto

We consider the problem of estimating a low-rank matrix from a noisy observed matrix. Previous work has shown that the optimal method depends crucially on the choice of loss function. In this paper, we use a family of weighted loss…

Statistics Theory · Mathematics 2021-04-08 William Leeb

We apply a method to filter relevant information from the correlation coefficient matrix by extracting a network of relevant interactions. This method succeeds to generate networks with the same hierarchical structure of the Minimum…

Physics and Society · Physics 2007-05-23 T. Aste , T. Di Matteo , M. Tumminello , R. N. Mantegna

Ordinary differential equation models are used to describe dynamic processes across biology. To perform likelihood-based parameter inference on these models, it is necessary to specify a statistical process representing the contribution of…