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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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141283424565 · Jun 202019922001200920172026
48 results for autoregressive distributed lag

We develop methods to estimate lag and parameters for multiple stable autoregressive processes.

problem Estimating lag and parameters for multiple stable autoregressive processes with unknown lag.
method Use convex programming to simultaneously select lag and estimate parameters across multiple processes.
result The estimated process is stable, and forecasting errors can outperform known rates.

The paper explores how mining costs, rewards, and blockchain security are interconnected.

problem Understanding the interdependencies between mining costs, mining rewards, and blockchain security.
method Theoretical derivation and empirical analysis using daily crypto market data and autoregressive distributed lag approach.
result Cryptocurrency price and mining rewards are intrinsically linked to blockchain security outcomes.

Bayesian framework selects features and lags for time series forecasting.

problem Variable selection and lagged error term identification in time series models.
method Hierarchical Bayesian models with spike-and-slab priors, two-stage MCMC algorithm.
result Posterior selection consistency under mild conditions, improved predictive performance.

Vector autoregression (VAR) is a fundamental tool for modeling multivariate time series. However, as the number of component series is increased, the VAR model becomes overparameterized. Several authors have addressed this issue by incorporating regularized approaches, such as the lasso in VAR estimation. Traditional a…

2014-12-17abs ↗pdf ↗

New PEMs improve network inference from time-series data.

problem Causal inference from time-series data with trade-off between accuracy and feasibility.
method Infer networks via process motifs for lagged correlation in linear stochastic processes.
result Proposed PEMs achieve high accuracy and efficiency in network inference.

The Vector AutoRegressive (VAR) model is fundamental to the study of multivariate time series. Although VAR models are intensively investigated by many researchers, practitioners often show more interest in analyzing VARX models that incorporate the impact of unmodeled exogenous variables (X) into the VAR. However, sin…

2017-11-09abs ↗pdf ↗

Estimates spatio-temporal data with satellite NO2 concentrations using Yule-Walker equations.

problem Estimating large spatio-temporal autoregressions with unknown spatial interactions.
method Sparse generalized Yule-Walker estimation, penalized regression, spatial and temporal dependence.
result Strong forecast improvements and evidence of spatial interactions in NO2 satellite data.

Modeling delayed Granger causality in Hawkes processes.

problem Capturing the time lag between causal events in multivariate Hawkes processes.
method Proposed a Hawkes process model with latent time lags, using Variational Auto-Encoder (VAE) for inference.
result Identified and inferred time lags with posterior distributions, improving event prediction and root cause analysis.

Study shows oil prices but not COVID-19 cases affect US economic policy uncertainty.

problem Effect of COVID-19 and crude oil prices on US economic policy uncertainty.
method Used ARDL model with daily data from January 21-March 13, 2020.
result Crude oil price dynamics increase US economic policy uncertainty, while COVID-19 cases have mixed effects.

The paper introduces a method to model error correlations in multivariate time series forecasting.

problem Accurate modeling of error correlations for reliable uncertainty quantification.
method Plug-and-play method that learns error covariance over multiple steps using low-rank-plus-diagonal and independent latent temporal processes.
result Improves predictive accuracy and uncertainty quantification without significantly increasing parameter size.

Forecasting time series data is an important subject in economics, business, and finance. Traditionally, there are several techniques to effectively forecast the next lag of time series data such as univariate Autoregressive (AR), univariate Moving Average (MA), Simple Exponential Smoothing (SES), and more notably Auto…

2018-03-16abs ↗pdf ↗

Our goal is to estimate causal interactions in multivariate time series. Using vector autoregressive (VAR) models, these can be defined based on non-vanishing coefficients belonging to respective time-lagged instances. As in most cases a parsimonious causality structure is assumed, a promising approach to causal discov…

2009-01-15abs ↗pdf ↗

Testing procedures for predictive regressions with lagged autoregressive variables imply a suboptimal inference in presence of small violations of ideal assumptions. We propose a novel testing framework resistant to such violations, which is consistent with nearly integrated regressors and applicable to multi-predictor…

2016-12-15abs ↗pdf ↗

New method speeds up lead-lag detection between asynchronous time series.

problem Slow inference of lead-lag networks between long time series.
method Derive asymptotic distribution of Transfer Entropy and introduce time-shifted time series.
result Statistically validated lead-lag networks between time series.

Generative model downgrades coarse satellite images to fine resolution.

problem Reconstructing fine resolution satellite images from coarse scale inputs.
method Combines U-Net transfer encoder with diffusion-based generative model.
result Excellent performance (R2 = 0.65 to 0.94) across seasonal regional splits.

Efficiently combines autoregressive and set-based models for joint distributions.

problem Joint distributions over multiple predictions from set-based models.
method Causal autoregressive buffer that caches context and captures dependencies.
result Up to 20x faster joint sampling and density evaluation, up to 7x lower memory usage.

New neural network models improve Granger Causality detection in non-linear systems.

problem Mischaracterization of Granger Causality in non-linear systems using traditional linear models.
method Proposes Learned Kernel VAR (LeKVAR) and decoupled penalties for GC estimation and lag selection.
result Improves GC detection in non-linear systems with computational efficiency.

Study reduces financial dynamics complexity using PCA for NASDAQ, oil, gold, and USD.

problem Understanding complex financial interactions among multiple assets.
method Time-delay embedding and PCA for dimensionality reduction, followed by linear regression.
result Limited number of principal components capture dominant dynamics of each asset.

Paper proposes a self-supervised method to denoise autoregressive signals with heavy-tailed noise.

problem Denoising autoregressive signals corrupted by heavy-tailed noise.
method Self-supervised learning approach without requiring full noise distribution knowledge.
result Strong denoising performance compared to baseline methods, especially for impulsive noise.

Autoregressive models struggle with hard-to-compute distributions, alternatives like energy-based and latent-variable models solve this.

problem Autoregressive models struggle with distributions whose next-symbol probability is hard to compute.
method Alternatives include energy-based models and latent-variable autoregressive models.
result Alternatives to autoregressive models can escape limitations of hard-to-compute distributions.

While normalizing flows have led to significant advances in modeling high-dimensional continuous distributions, their applicability to discrete distributions remains unknown. In this paper, we show that flows can in fact be extended to discrete events---and under a simple change-of-variables formula not requiring log-d…

2019-05-24abs ↗pdf ↗

CARRNN tackles deep learning for sporadic data, improving prediction errors in healthcare.

problem Challenges in learning temporal patterns from sporadic multivariate longitudinal data.
method Developed a novel deep learning architecture combining RNN and CAR models, using a generalized discrete-time autoregressive model.
result CARRNN achieves the lowest prediction errors in multivariate time-series regression tasks.

We propose a generic spatiotemporal event forecasting method, which we developed for the National Institute of Justice's (NIJ) Real-Time Crime Forecasting Challenge. Our method is a spatiotemporal forecasting model combining scalable randomized Reproducing Kernel Hilbert Space (RKHS) methods for approximating Gaussian …

2018-01-09abs ↗pdf ↗

This work models financial market returns with asymmetric Tsallis distributions, improving fit over symmetric q-Gaussians.

problem Non-symmetric behavior of stock market returns over time scales.
method Linear combination of two independent normalized half q-Gaussians with different parameters.
result Asymmetric distributions provide better fits to stock market returns than symmetric q-Gaussians, especially over longer time scales.

Normalizing flows and autoregressive models have been successfully combined to produce state-of-the-art results in density estimation, via Masked Autoregressive Flows (MAF), and to accelerate state-of-the-art WaveNet-based speech synthesis to 20x faster than real-time, via Inverse Autoregressive Flows (IAF). We unify a…

2018-04-03abs ↗pdf ↗

Bank transactions help predict macroeconomic indexes faster and more accurately.

problem Lag in macroeconomic index availability and autoregressive models' limitations in complex scenarios.
method Use financial transactions data to estimate macroeconomic indexes using neural networks and smart sampling.
result Neural network approach outperforms baseline methods on hand-crafted features based on transactions.

Bayesian method for multivariate autoregressive models with exogenous inputs.

problem Estimating uncertainties in autoregressive models with exogenous inputs.
method Recursive Bayesian estimation via message passing in a factor graph.
result Produces full posterior distributions for autoregressive coefficients and noise precision.

HS-FNO models non-Markovian PDEs by learning history and future states.

problem Non-Markovian dynamics where future states depend on past history.
method History-Space Fourier Neural Operator (HS-FNO) for delay and memory-driven PDEs.
result HS-FNO achieves lowest aggregate errors across various PDE families.

Transformers encode latent distributions in text, improving performance in out-of-distribution cases.

problem What should embeddings from language models represent?
method Connecting autoregressive prediction to sufficient statistics, identifying three settings.
result Transformers encode latent generating distributions, improving performance.

The study finds a long-term relationship between Dubai crude oil and US natural gas prices.

problem Examining the relationship between Dubai crude oil and US natural gas prices.
method Used unit root and cointegration tests, ARDL cointegration technique, and Toda-Yamamoto causality test.
result There is a long-run relationship with unidirectional causality from Dubai crude oil to US natural gas.