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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.

168,932 papers · 148 categories

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70140209279 · Jun 202019922001200920172026
48 results for bootstrapping error

New algorithm BEAR reduces instability in off-policy Q-learning.

problem High sensitivity of off-policy Q-learning methods to data distribution.
method Identified and mitigated bootstrapping error through constrained action selection.
result BEAR algorithm learns robustly from various off-policy distributions.

We quantify uncertainty in Oja's algorithm's leading eigenvector estimation.

problem Estimating the error of Oja's algorithm's leading eigenvector from streaming data.
method Combining U-statistics, high-dimensional central limit theorems, and multiplier bootstrap.
result Established a weighted χ² approximation for the error between the eigenvector and algorithm output.

Blockwise bootstrap improves ASR performance testing for correlated data.

problem Testing reliability of WER improvements between ASR systems.
method Divide evaluation utterances into nonoverlapping blocks and resample these blocks.
result The variance estimator of absolute WER difference is consistent under mild conditions.

Paper develops methods for statistical inference with SGD in nonconvex optimization.

problem Statistical inference for nonconvex optimization problems.
method Proposes two online inferential procedures combining SGD and bootstrap techniques.
result Establishes error convergence rates and asymptotically valid bootstrap confidence intervals.

This paper presents an alternative approach to p-values in regression settings. This approach, whose origins can be traced to machine learning, is based on the leave-one-out bootstrap for prediction error. In machine learning this is called the out-of-bag (OOB) error. To obtain the OOB error for a model, one draws a bo…

2017-01-18abs ↗pdf ↗

We consider the performance of the bootstrap in high-dimensions for the setting of linear regression, where p<np<n but p/np/n is not close to zero. We consider ordinary least-squares as well as robust regression methods and adopt a minimalist performance requirement: can the bootstrap give us good confidence intervals fo…

2016-08-02abs ↗pdf ↗

Paper improves bootstrapping for off-policy reinforcement learning inference.

problem Improving bootstrapping for off-policy reinforcement learning inference.
method Proposes a bootstrapping FQE method for off-policy statistical inference and a subsampling procedure to improve runtime.
result Asymptotically efficient and distributionally consistent bootstrapping FQE method for off-policy inference.

Graphical lasso models ASR utterance dependencies for consistent WER estimation.

problem Modeling dependent structure among ASR utterances for accurate significance analysis.
method Graphical lasso for dependency modeling, followed by blockwise bootstrap resampling.
result Statistically consistent variance estimator of WER under mild conditions.

Proposes a new test for validating multivariate dynamic regression models.

problem Inadequate exogeneity conditions for conventional model specification tests in dynamic systems.
method Develops a generalized Durbin estimator for multiple-equation systems with dynamic dependencies, and constructs Wald tests.
result Bootstrap-based Wald tests improve finite-sample size control and validate the null hypothesis in multifactor models.

This paper develops a bootstrap method to estimate errors in Random Fourier Features.

problem Inability to estimate the error of Random Fourier Features approximations.
method Develops a bootstrap approach to numerically estimate the errors of RFF approximations.
result Specific, flexible, and adaptive error estimates for RFF approximations.

The paper tackles model misspecification in reinforcement learning through a bootstrapped neural network and error correction.

problem Model misspecification in reinforcement learning environments.
method Proposes a bootstrapped multi-headed neural network to learn model distributions and a global error correction filter.
result Demonstrates increased performance and stability in model accuracy and planning algorithm use.

Estimates algorithmic variance for bagging and random forests using bootstrap.

problem Deciding when an ensemble is large enough for accurate predictions.
method Bootstrap method to estimate algorithmic variance under a first-order model.
result Consistent approximation of the centered law of prediction error as ensemble size increases.

The paper studies how to use AI-generated labels in econometrics to avoid bias.

problem Small misclassification errors in AI-generated labels can lead to large biases in econometric estimators.
method The paper proposes a coupled-label bootstrap method to correct bias and deliver valid inference.
result The coupled-label bootstrap method is valid without the strong independence condition between true and imputed labels.

Paper develops Gaussian approximations and bootstrap for federated LSA with trade-off bounds.

problem Analyzing convergence rates and trade-offs in federated linear stochastic approximation.
method Established Berry-Esseen-type bounds for federated LSA, developed multiplier bootstrap for inference.
result First federated Gaussian approximations with explicit trade-off terms and non-asymptotic validity guarantees.

Improved pricing of vanilla options using modified Adams method and sinh-acceleration.

problem Calibration of rough Heston model leads to incorrect implied volatility surfaces.
method Modified Adams method and sinh-acceleration for Fourier inversion.
result Corrected implied volatility surface is significantly flatter and fits data poorly.

Paper improves CLT and bootstrap approximations for LSA with decreasing step size.

problem Improving normal approximation and bootstrap methods for LSA with decreasing step sizes.
method Refined Berry-Esseen bounds and multiplier bootstrap procedure for LSA.
result Approximation rates up to 1/n1/\sqrt{n} for LSA rescaled error distribution.

Thompson sampling provides a solution to bandit problems in which new observations are allocated to arms with the posterior probability that an arm is optimal. While sometimes easy to implement and asymptotically optimal, Thompson sampling can be computationally demanding in large scale bandit problems, and its perform…

2014-10-15abs ↗pdf ↗

The intention of this paper is to estimate a Bayesian distribution-free chain ladder (DFCL) model using approximate Bayesian computation (ABC) methodology. We demonstrate how to estimate quantities of interest in claims reserving and compare the estimates to those obtained from classical and credibility approaches. In …

2010-04-15abs ↗pdf ↗

Method captures shared information across many views robustly.

problem Modeling hundreds of views per event and learning robust embeddings without view knowledge.
method View bootstrapping using multi-view correlation and matrix concentration theory.
result View bootstrapping captures shared information across many views robustly.

Non-parametric bootstrap improves robust portfolio and trading strategy optimization.

problem Mitigating uncertainty in expected returns and covariances in financial decision-making.
method Non-parametric bootstrap framework for robust optimization without distributional assumptions.
result Improved out-of-sample performance with smoother, more stable results.

Cross-validation estimates model performance on unseen data, not training data.

problem Understanding how cross-validation estimates prediction error and its limitations.
method Analyzing linear models and popular prediction error estimates, introducing nested cross-validation.
result Cross-validation estimates the average prediction error of models fit on other unseen training sets, not the model at hand.

We address the problem of Bayesian structure learning for domains with hundreds of variables by employing non-parametric bootstrap, recursively. We propose a method that covers both model averaging and model selection in the same framework. The proposed method deals with the main weakness of constraint-based learning--…

2018-09-13abs ↗pdf ↗

The paper provides rigorous guarantees for m-out-of-n bootstrap estimators of sample quantiles.

problem Lack of parameter-free guarantees for robust inference with heavy-tailed data.
method Central limit theorem and Edgeworth expansion for m-out-of-n bootstrap estimators of sample quantiles.
result Established rigorous guarantees for the soundness of m-out-of-n bootstrap estimators of sample quantiles.

A new method boosts exploration in bandit algorithms, reducing regret.

problem Improving exploration in bandit algorithms with bounded or unbounded rewards.
method Residual Bootstrap Exploration (ReBoot) method that injects data-driven randomness.
result Proves logarithmic regret in Gaussian multi-armed bandits with appropriate variance inflation.

Enhanced TSFMs improve time series forecasting accuracy and reliability.

problem Variance, bias, and uncertainty in TSFMs' predictions on real data.
method Statistical and ensemble techniques including bagging, stacking, residual modeling, and prediction intervals.
result Hybrid models consistently outperform standalone TSFMs across multiple horizons.

Study evaluates 13 CI methods for generalization error across 19 problems.

problem Evaluating prediction model quality using confidence intervals for generalization error.
method Compared 13 CI methods on 19 tabular regression and classification problems using cross-validation and bootstrapping.
result Identified a subset of methods with good coverage, width, and runtime.

Novel method estimates CV-based classifier performance variance.

problem Lack of rigorous variance estimation methods for CV-based classifiers.
method Influence Function (IF) approach to estimate variance of CV-based estimators.
result IF-based method shows small RMS error with some bias, but ad-hoc methods still perform better.

A new method for approximating CV and bootstrap with higher-order infinitesimal jackknife.

problem Efficiently approximating cross-validation and bootstrap methods for machine learning.
method Higher-order infinitesimal jackknife (HOIJ) using Taylor series approximations and automatic differentiation.
result HOIJ provides higher-order accuracy and can be computed efficiently even in high dimensions.

Optimizes a small set of centroid points to approximate bootstrap distribution.

problem Computational inefficiency of standard bootstrap methods in large-scale machine learning.
method Explicitly optimizes a small set of high quality centroid points to approximate the ideal bootstrap distribution.
result Accurately estimates uncertainty with a small number of bootstrap centroids, outperforming i.i.d. sampling.

New methods improve uncertainty in machine learning predictions for asset returns.

problem Uncertainty in machine learning predictions for asset returns.
method Developed new methods to construct forecast confidence intervals for expected returns from neural networks.
result Neural network forecasts of expected returns have the same asymptotic distribution as classic nonparametric methods, enabling standard error calculation.

In this paper we tackle the problem of estimating the power-law tail exponent of income distributions by using the Hill's estimator. A subsample semi-parametric bootstrap procedure minimising the mean squared error is used to choose the power-law cutoff value optimally. This technique is applied to personal income data…

2006-03-08abs ↗pdf ↗

AR-Sieve Bootstrap improves Random Forest time series prediction accuracy.

problem Inaccurate time series prediction due to inadequate resampling methods.
method Combines Random Forest with AR-Sieve Bootstrap for better resampling.
result AR-Sieve Bootstrap leads to more accurate predictions compared to other methods.

New bootstraps improve speed and accuracy for graph count functionals.

problem Efficiently counting subgraphs in large graphs.
method Developed two types of multiplier bootstraps: a fast, approximate linear one and a quadratic one for denser graphs.
result Both bootstraps provide valid inference and higher-order accuracy under different graph sparsity conditions.

Three bootstrap tests compare categorical time series generating processes.

problem Testing equality of generating processes in categorical time series.
method Proposes three tests using dissimilarity measures and bootstrap methods.
result Advantages and disadvantages of each bootstrap method discussed.