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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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4692137183 · Jun 202019922001200920172026
48 results for correlation quantifiers

Designs new functionals for ranking joint probability distributions based on correlations.

problem Ranking joint probability distributions based on their correlations.
method Using first principles from inference, a set of functionals are designed with the Principle of Constant Correlations (PCC) guiding the construction.
result The nn-partite information (NPI) uniquely determines whether inferential transformations preserve, destroy, or create correlations.

New method detects intrinsic cross-correlations in non-stationary time series affected by common factors.

problem Bias in cross-correlation analysis due to common external factors.
method Multifractal temporally weighted detrended partial cross-correlation analysis (MF-TWDPCCA).
result MF-TWDPCCA accurately detects intrinsic cross-correlations between non-stationary time series.

The value of an asset in a financial market is given in terms of another asset known as numeraire. The dynamics of the value is non-stationary and hence, to quantify the relationships between different assets, one requires convenient measures such as the means and covariances of the respective log returns. Here, we dev…

2019-02-18abs ↗pdf ↗

We discuss some methods to quantitatively investigate the properties of correlation matrices. Correlation matrices play an important role in portfolio optimization and in several other quantitative descriptions of asset price dynamics in financial markets. Specifically, we discuss how to define and obtain hierarchical …

2008-09-26abs ↗pdf ↗

We quantify how co-jumps impact correlations in currency markets. To disentangle the continuous part of quadratic covariation from co-jumps, and study the influence of co-jumps on correlations, we propose a new wavelet-based estimator. The proposed estimation framework is able to localize the co-jumps very precisely th…

2016-02-17abs ↗pdf ↗

Study evaluates feature ranking methods' faithfulness in ML models, improving with dimensionality reduction.

problem Quantifying and improving the faithfulness of feature ranking methods in ML models.
method Evaluation of multiple feature ranking methods, including SHAP, LIME, ALE variance, and LR coefficients, using permutation importance as a baseline.
result Dimensionality reduction improves the faithfulness of feature ranking methods, making permutation importance the most faithful method.

The study identifies spurious correlations in high-dimensional regression and quantifies their impact.

problem Spurious correlations in high-dimensional regression models.
method Statistical characterization of spurious correlations, quantifying their amount via ridge regularization.
result The value of regularization strength that minimizes test loss is in an interval where spurious correlations increase.

We consider a financial market where the asset price follows a fractional Brownian motion. We introduce a family of investment strategies, and quantify profit possibilities for both persistent and antipersistant markets.

2001-04-17abs ↗pdf ↗

Paper introduces ρρ-Perfect to estimate model-human correlation in subjective datasets.

problem Inherent noise in subjective ratings limits model-human correlation quantification.
method Defines ρρ-Perfect as highest achievable correlation between perfect predictor and human ratings. Estimates based on heteroscedastic noise scenarios.
result Demonstrates ρρ-Perfect can distinguish model limitations from data quality issues.

New method uses VAEs to generate financial correlation matrices for credit portfolio VaR analysis.

problem Quantifying credit portfolio sensitivity to asset correlations.
method Employing Variational Autoencoders (VAEs) to generate synthetic financial correlation matrices.
result The VAE latent space captures crucial factors impacting portfolio diversification, especially in credit portfolio sensitivity to asset correlations.

Study uses topological signatures to quantify financial market complexity.

problem Capturing temporal organization beyond volatility measures.
method Null validated topological approach using L1L^1 norm of persistence landscapes.
result Persistence landscape norms reveal dynamical structure during market stress.

The correlation function of a financial index of the New York stock exchange, the S&P 500, is analyzed at 1 min intervals over the 13-year period, Jan 84 -- Dec 96. We quantify the correlations of the absolute values of the index increment. We find that these correlations can be described by two different power laws wi…

1997-06-03abs ↗pdf ↗

Study shows disentanglement models learn correlations from data, impacting fairness.

problem Disentanglement models learn correlations in real-world data, affecting downstream applications.
method Empirical study on 4260 models, analyzing correlations in latent representations.
result Systematically induced correlations are learned by disentanglement models, impacting fairness.

Study quantifies how LLMs capture higher-order statistical structure using cumulant expansion.

problem Understanding how LLMs internalize statistical structure during next-token prediction.
method Cumulant-expansion framework treating softmax entropy as perturbation around center distribution.
result Cumulants reveal distinct signatures for mathematical vs. general text prompts, quantifying feature-learning dynamics.

We uncover a new anomaly in asset pricing that is linked to the remuneration: the more a company spends on salaries and benefits per employee, the better its stock performs, on average. Moreover, the companies adopting similar remuneration policies share a common risk, which is comparable to that of the value premium. …

2016-02-02abs ↗pdf ↗

Previous studies indicate that nonlinear properties of Gaussian time series with long-range correlations, uiu_i, can be detected and quantified by studying the correlations in the magnitude series ui|u_i|, i.e., the ``volatility''. However, the origin for this empirical observation still remains unclear, and the exact …

2004-06-14abs ↗pdf ↗

Study analyzes stock market correlations using multivariate distributions.

problem Capturing the correlation structure of complex, non-stationary systems.
method Applied Random Matrix Model to empirical data of 479 US stocks.
result Described and quantified changes in empirical distributions due to non-stationarity.

Proposes a framework for quantifying aleatoric uncertainty in image restoration.

problem Quantifying aleatoric uncertainty in image restoration problems.
method Divides conditional probability modeling into deterministic and stochastic levels, enabling efficient sampling and regularization.
result Shows significant potential in giving state-of-the-art point estimates and associated uncertainty information.

Most data is multi-dimensional. Discovering whether any subset of dimensions, or subspaces, of such data is significantly correlated is a core task in data mining. To do so, we require a measure that quantifies how correlated a subspace is. For practical use, such a measure should be universal in the sense that it capt…

2015-10-28abs ↗pdf ↗

Paper relaxes differential privacy for correlated features, improving privacy-utility trade-off.

problem Standard differential privacy ignores feature correlation, leading to suboptimal privacy-utility balance.
method Introduces CorrDP framework that accounts for feature correlation, using total variation distance for quantification.
result CorrDP algorithms outperform standard DP in synthetic and real-world datasets with insensitive features.

Financial empirical correlation matrices of all the companies which both, the Deutsche Aktienindex (DAX) and the Dow Jones comprised during the time period 1990-1999 are studied using a time window of a limited, either 30 or 60, number of trading days. This allows a clear identification of the resulting correlations. O…

2001-03-29abs ↗pdf ↗

Proposes a new model to better handle correlation risk in credit risk calculations.

problem Empirical evidence shows correlation risk is significant in credit risk models.
method Introduces a stochastic correlation extension of the Vasicek model using circular diffusion.
result Demonstrates how correlation volatility and persistence affect joint default and survival probabilities.

TimeTrail detects financial fraud patterns through temporal correlation analysis.

problem Detecting and explaining complex financial fraud patterns.
method Temporal data enrichment, dynamic correlation analysis, interpretable pattern visualization.
result TimeTrail outperforms conventional methods in accuracy and interpretability.

A novel application of the correlation matrix formalism to study dynamics of the financial evolution is presented. This formalism allows to quantify the memory effects as well as some potential repeatable intradaily structures in the financial time-series. The present study is based on the high-frequency Deutsche Aktie…

2001-02-22abs ↗pdf ↗

Entropy measure quantifies volatility correlation and risk diversity in asset portfolios.

problem Quantifying volatility correlation and risk diversity in asset portfolios.
method Kullback-Leibler cluster entropy DC[PQ]\mathcal{D_{C}}[P \| Q] for empirical and model probability distributions of realized volatility.
result Portfolio built on diversity indexes derived from Kullback-Leibler entropy measure of realized volatility exhibits better performance.

New tool detects 'fleeting modes' causing excess risk in financial markets.

problem Detecting portfolios with statistically significant excess risk in financial markets.
method Random Matrix Theory to identify 'fleeting modes' independent of underlying correlation structure.
result Fleeting modes exist in both futures and equity markets, and momentum is a source of excess risk.

The paper compares LOCO and Shapley values for feature importance, highlighting their limitations and suggesting improvements.

problem Quantifying feature importance in the presence of feature correlation.
method LOCO and Shapley Values, critiquing their axioms and proposing new measures.
result Shapley values do not eliminate feature correlation, and a modified LOCO is recommended.

Proposes a new method to estimate variable importance in black box models, mitigating correlation effects.

problem Correlation between covariates affects the interpretation of variable importance parameters.
method Develops a modified LOCO (Leave Out COvariates) method and uses semiparametric models for estimation.
result Shows how to estimate a modified LOCO method that mitigates correlation effects.

Correlation filters (CFs) are a class of classifiers that are attractive for object localization and tracking applications. Traditionally, CFs have been designed in the frequency domain using the discrete Fourier transform (DFT), where correlation is efficiently implemented. However, existing CF designs do not account …

2014-11-10abs ↗pdf ↗

Complex systems are typically represented by large ensembles of observations. Correlation matrices provide an efficient formal framework to extract information from such multivariate ensembles and identify in a quantifiable way patterns of activity that are reproducible with statistically significant frequency compared…

2011-06-02abs ↗pdf ↗

Logit-link models reveal socio-temporal effects on microfinance delinquency.

problem Understanding and quantifying socio-temporal factors affecting microfinance loan delinquency.
method Developed and evaluated discrete-time logit-link models with fixed-effects and frailty extensions.
result Simple random intercept structures capture latent heterogeneity in microfinance repayment behavior.

Study shows past market trends reduce or increase correlations between futures contracts.

problem Estimating and managing risk in non-stationary futures markets.
method Applied Principal Regression Analysis (PRA) to quantify past market movements' effect on correlations.
result Past up or down 10-day trends reduce or increase instantaneous correlations, respectively.