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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.

168,657 papers · 148 categories

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174349523697 · Jun 202019922001200920172026
48 results for Riemannian autocorrelation function

Study non-local isoperimetric energies on spheres using a Riemannian autocorrelation function.

problem Analyse non-local isoperimetric energies on spheres.
method Introduce Riemannian autocorrelation function and use it to reformulate and compute the energies.
result Show that the non-local isoperimetric energies can be reformulated and computed using the Riemannian autocorrelation function.

Introduces a new Hawkes model with CARMA(p,q) intensity to better model dependence structures.

problem Modeling dependence structures in time series data with realistic autocorrelation functions.
method Develops a Hawkes process with CARMA(p,q) intensity to capture more complex dependencies.
result The CARMA(p,q)-Hawkes model can reproduce more realistic dependence structures and is stationary and positive.

Financial market dynamics is rigorously studied via the exact generalized Langevin equation. Assuming market Brownian self-similarity, the market return rate memory and autocorrelation functions are derived, which exhibit an oscillatory-decaying behavior with a long-time tail, similar to empirical observations. Individ…

2010-10-11abs ↗pdf ↗

Study of autocorrelation times in neural MCMC simulations for the 2D Ising model.

problem Estimating autocorrelation times in Neural Markov Chain Monte Carlo simulations.
method Analytical and empirical methods to estimate autocorrelation times, proposing new loss functions and training schemes.
result Proposed new loss functions and training schemes that improve autocorrelation times in neural MCMC simulations.

Study GLS estimator properties in multivariate regression with heteroskedastic and autocorrelated errors.

problem Asymptotic properties of GLS estimator in multivariate regression with specific error structures.
method Derive Wald statistics for linear restrictions and assess their performance.
result Wald statistics remain robust to heteroskedasticity and autocorrelation.

We develop a framework especially suited to the autocorrelation properties observed in financial times series, by borrowing from the physical picture of turbulence. The success of our approach as applied to high frequency foreign exchange data is demonstrated by the overlap of the curves in Figure (1), since we are abl…

1997-09-11abs ↗pdf ↗

In this manuscript we analyse the leading statistical properties of fluctuations of (log) 3-month US Treasury bill quotation in the secondary market, namely: probability density function, autocorrelation, absolute values autocorrelation, and absolute values persistency. We verify that this financial instrument, in spit…

2007-06-08abs ↗pdf ↗

In this paper we propose new algorithm to reduce autocorrelation in Markov chain Monte-Carlo algorithms for euclidean field theories on the lattice. Our proposing algorithm is the Hybrid Monte-Carlo algorithm (HMC) with restricted Boltzmann machine. We examine the validity of the algorithm by employing the phi-fourth t…

2017-12-11abs ↗pdf ↗

The paper examines how market trade values and volumes affect price autocorrelation.

problem Understanding the impact of market trade values and volumes on price autocorrelation.
method Derives the dependence of price statistical moments and volatility on trade values and volumes, and assesses statistical moments and correlations by conventional frequency-based probabilities.
result Highlights the impact of market trade randomness on price statistical moments and autocorrelation.

This paper speeds up Gaussian process regression for autocorrelated data.

problem Temporal overfitting in Gaussian process models for autocorrelated data.
method Modifying existing Gaussian process approximations to handle blocked, de-correlated data.
result Proposed methods accelerate Gaussian process regression on autocorrelated data without sacrificing performance.

This paper reviews deep time-series forecasting focusing on autocorrelation modeling.

problem Modeling autocorrelation in history and label sequences for time-series forecasting.
method Proposes a novel taxonomy for model architectures and learning objectives.
result Provides a comprehensive review and analysis of deep time-series forecasting.

The paper uncovers the impact of price and payoff autocorrelations in multi-period asset pricing models.

problem Hidden dependence of asset pricing models on price and payoff autocorrelations.
method Obtained approximations of the basic pricing equation describing various parameters.
result Valid results for other pricing models like ICAPM and APM.

This paper examines autocorrelation in major crypto markets, finding persistent correlations on short time frames.

problem Assessing the efficiency of major cryptocurrency markets through autocorrelation analysis.
method Pearson's autocorrelation coefficient, Ljung-Box test, rolling window analysis.
result Persistent autocorrelation on 5m and 1H time frames, disagreement on 1D and 1W time frames.

The mean-field variant of the model of limit order driven market introduced recently by Maslov is formulated and solved. The agents do not have any strategies and the memory of the system is kept within the order book. We show that he evolution of the order book is governed by a matrix multiplicative process. The resul…

2001-04-27abs ↗pdf ↗

Novel method discovers causal relations in time series data, even with autocorrelation.

problem Discovering causal relations in time series data with strong autocorrelation.
method Conditional independence (CI) based PCMCI+^+ method, optimized for contemporaneous and lagged links.
result PCMCI+^+ outperforms other methods in detecting causal links and controlling false positives.

The paper calculates optimal trading turnover in terms of asset liquidity and alpha autocorrelation.

problem Understanding optimal trading turnover in the context of asset liquidity and alpha autocorrelation.
method Developed a Gaussian process model to compute steady-state turnover explicitly, relating it to asset liquidity and alpha autocorrelation.
result Steady-state optimal turnover is given by γn+1γ\sqrt{n+1}, where γγ is a liquidity-adjusted risk-aversion and nn is the mean-reversion speed ratio.

Estimates price elasticity from autocorrelated time series using causal graphs.

problem Inconsistent IV estimators in autocorrelated time series data.
method Model equilibrium with unobserved confounders, derive DAG, and use graphical inference for valid IV estimators.
result Valid IV estimators improve understanding of economic dynamics.

Framework isolates causal effects from time series data, improving accuracy under non-stationarity and autocorrelation.

problem Causal inference in non-stationary, autocorrelated time series data.
method Decomposes time series into trend, seasonal, and residual components; performs component-specific causal analysis.
result Framework more accurately recovers ground-truth causal structure than state-of-the-art baselines, especially under strong non-stationarity and temporal autocorrelation.

We exploit a continuous time random walk description of stock prices to obtain a fast and accurate evaluation of their volatility from intraday data. We show that financial markets are usefully described as open physical systems. Indeed we find that the process determining market volatility is not stationary while the …

2004-10-29abs ↗pdf ↗

This study analyses, through cross-section estimation methods, the influence of spatial effects in productivity (product per worker), at economic sectors level of the NUTs III of mainland Portugal, from 1995 to 1999 and from 2000 to 2005 (taking in count the data availability and the Portuguese and European context), c…

2011-10-25abs ↗pdf ↗

A new RL framework handles autocorrelated actions for better learning and stability.

problem Improving reinforcement learning algorithms for better stability and efficiency.
method Introduces a new algorithm that optimizes policies with autocorrelated actions.
result The new algorithm outperforms existing methods in four simulated control problems.

New method improves causal discovery in time series with latent confounders.

problem Low recall in causal discovery for autocorrelated time series with latent confounders.
method Iterative procedure that includes causal parents in conditioning sets, using novel orientation rules.
result Significantly higher recall compared to existing methods, especially in strong autocorrelation cases.

It is common to subsample Markov chain output to reduce the storage burden. Geyer (1992) shows that discarding k1k-1 out of every kk observations will not improve statistical efficiency, as quantified through variance in a given computational budget. That observation is often taken to mean that thinning MCMC output ca…

2015-10-27abs ↗pdf ↗

Optimizes portfolio with two controls to minimize trades and maintain signal integrity.

problem Optimizing a single-asset portfolio with transaction costs and signal autocorrelation.
method Formulated an optimization problem to minimize trades while maintaining signal integrity and achieving maximum return.
result Locally optimal solution minimizes trades and achieves maximum return, with a quantifiable improvement based on threshold and autocorrelation removed.

New ICA method for sources with mixed spectra.

problem Inaccurate separation of sources with temporal autocorrelations and mixed spectra.
method Estimates spectral density functions and line spectra using cubic splines and indicator functions, then maximizes the Whittle likelihood function.
result Outperforms existing ICA methods in simulations and EEG data applications.

Paper optimizes trend-following portfolios using autocorrelation models.

problem Developing an optimal trend-following portfolio strategy.
method Introduces a unifying theoretical setting with autocorrelation models for covariance matrices of trends and risk premia. Specifies practical models for covariance matrices. Decomposes optimal portfolio into four basic components.
result Empirical backtests confirm overperformance of the proposed optimal portfolio.

The consideration of spatial effects at a regional level is becoming increasingly frequent and the work of Anselin (1988), among others, has contributed to this. This study analyses, through cross-section estimation methods, the influence of spatial effects in productivity (product per worker) in the NUTs III economic …

2011-10-25abs ↗pdf ↗

Machine learning models perform better with location coordinates alone, not Moran Eigenvectors.

problem Improving machine learning models for spatial data.
method Examined Moran Eigenvectors as additional spatial features in machine learning models using synthetic datasets.
result Machine learning models using only location coordinates achieve better accuracies than eigenvector-based approaches.

In the past 20 years, momentum or trend following strategies have become an established part of the investor toolbox. We introduce a new way of analyzing momentum strategies by looking at the information ratio (IR, average return divided by standard deviation). We calculate the theoretical IR of a momentum strategy, an…

2014-02-13abs ↗pdf ↗

The total value of domestic market capitalization of the Mexican Stock Exchange was calculated at 520 billion of dollars by the end of November 2013. To manage this system and make optimum capital investments, its dynamics needs to be predicted. However, randomness within the stock indexes makes forecasting a difficult…

2014-11-12abs ↗pdf ↗

We present a detailed study of the performance of a trading rule that uses moving average of past returns to predict future returns on stock indexes. Our main goal is to link performance and the stochastic process of the traded asset. Our study reports short, medium and long term effects by looking at the Sharpe ratio …

2019-06-29abs ↗pdf ↗

This study analyses, through cross-section estimation methods, the influence of spatial effects and human capital in the conditional productivity convergence (product per worker) in the economic sectors of NUTs III of mainland Portugal between 1995 and 2002. To analyse the data, Moran's I statistics is considered, and …

2011-10-25abs ↗pdf ↗

Study detects unusual trading patterns on crypto exchanges using complexity measures.

problem Detecting artificial trading activity on cryptocurrency exchanges.
method Complexity and statistical-structure measures derived from high-frequency trade-level data.
result Unusual trading patterns detected on Bitget for BTC and ETH after mid-May 2025.

Our goal in this paper is to study the market impact in a market in which the order flow is autocorrelated. We build a model which explains qualitatively and quantitatively the empirical facts observed so far concerning market impact. We define different notions of market impact, and show how they lead to the different…

2012-12-19abs ↗pdf ↗

This study analyses, through cross-section estimation methods, the influence of spatial effects in the conditional product convergence in the parishes' economies of mainland Portugal between 1991 and 2001 (the last year with data available for this spatial disaggregation level). To analyse the data, Moran's I statistic…

2011-10-25abs ↗pdf ↗

Analyzed Bitcoin market index volatility changes over two distinct periods using anomalous diffusion and multifractal analysis.

problem Characterizing volatility changes in Bitcoin market index over two distinct periods.
method Analyzed high-frequency Bitcoin data from 2019 to 2022, using anomalous diffusion and multifractal analysis.
result Volatility changes from subdiffusion to weak superdiffusion over time, with multifractal and self-similar properties.