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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.

169,181 papers · 148 categories

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54108162216 · Jun 202019922001200920182026
48 results for accounting noise

This paper improves privacy accounting in decentralized FL using f-Differential Privacy.

problem Challenges in accurately quantifying privacy budget in decentralized FL.
method Develops two new f-DP-based accounting methods for decentralized FL.
result Yields tighter (ε,δ) bounds and improved utility compared to existing methods.

New sampling scheme improves privacy in DP-SGD without sacrificing utility.

problem Suboptimal privacy amplification due to participation variance in Poisson subsampling.
method Balanced Iteration Subsampling (BIS) with structured randomness.
result BIS achieves stronger privacy amplification than Poisson subsampling and is optimal at both extremes of noise spectrum.

The paper develops GP classifiers for noisy inputs in multi-class classification.

problem Input noise in real-world data affects supervised learning performance.
method Developed multi-class Gaussian Process classifiers using variational inference.
result The proposed methods outperform noise-ignoring GP classifiers in predictive distribution.

Proposes a text perturbation method using a Mahalanobis metric to balance privacy and utility.

problem Low utility of text analysis when using spherical noise for privacy-preserving text embedding.
method Regularized Mahalanobis metric to add elliptical noise, accounting for embedding space density.
result Improves privacy statistics while maintaining utility, outperforming Laplace mechanism.

Efficiently calculates privacy guarantees for 2020 Census data.

problem Evaluate privacy guarantees for 2020 U.S. Census data releases.
method Sieve-accelerated quadrature method to evaluate tail probabilities of high-dimensional convolutions.
result Achieves 1,824-fold speedup over prior methods while maintaining error tolerances.

Geometry-aware noise improves model generalization on complex manifolds.

problem Improving model generalization on highly curved data manifolds.
method Add geometry-aware noise to input space, projecting Gaussian noise onto tangent space of manifold and mapping it via geodesic curve.
result Geometry-aware noise leads to improved generalization and robustness on highly curved manifolds.

Large datasets often have unreliable labels-such as those obtained from Amazon's Mechanical Turk or social media platforms-and classifiers trained on mislabeled datasets often exhibit poor performance. We present a simple, effective technique for accounting for label noise when training deep neural networks. We augment…

2017-05-09abs ↗pdf ↗

New Bayesian models optimize quantiles and expectiles for stochastic functions.

problem Optimizing for quantiles and expectiles in stochastic functions.
method Proposed variational models and BO strategies for quantile and expectile regression.
result Proposed models and strategies outperform existing methods in heteroscedastic, non-Gaussian settings.

New adaptive SGD algorithms for federated learning over physical channels.

problem Reducing communication cost in federated learning over physical channels.
method Proposed adaptive federated SGD algorithms considering channel noise and hardware constraints.
result Demonstrated convergence rates adaptive to stochastic gradient noise level.

Study analyzes perturbations in singular subspaces under random noise.

problem Understanding singular vector and subspace changes in signal-plus-noise models.
method Generalized Davis-Kahan-Wedin theorem for any unitarily invariant norm, considering \ell_\infty and 2,\ell_{2,\infty} bounds.
result Fine-grained insights into singular vector and subspace perturbations, including \ell_\infty and 2,\ell_{2,\infty} bounds.

The paper shows that detrended stock price returns are stationary.

problem Non-stationary effects in stock market indexes.
method Developed a linear Fokker-Planck equation (FPE) and associated stochastic differential equation (SDE) to model price return dynamics, accounting for trend and q-Gaussian noise.
result Detrended price returns are found to be stationary.

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.

We propose a robust method to estimate heteroscedastic noise models using Student's t-distribution.

problem Identifying cause and effect from bivariate observational data with non-Gaussian noise.
method We propose a novel approach using Student's t-distribution to estimate heteroscedastic noise models, which is more robust and achieves better performance.
result Our estimators are more robust and achieve better overall performance across synthetic and real benchmarks.

The paper improves privacy accounting for discrete-valued mechanisms and the subsampled Gaussian mechanism.

problem Improving the accuracy and efficiency of differential privacy accounting for discrete outputs.
method Uses fast Fourier transform (FFT) for rigorous error analysis and accounting of privacy loss.
result Provides strict lower and upper bounds for (ε,δ)(\varepsilon,δ)-values, demonstrating up to 75% reduction in noise variance.

Bayesian optimisation improves with fully-Bayesian treatment of hyperparameters.

problem Overconfident model predictions in BO due to ignoring hyperparameter uncertainty.
method Investigate FBBO using three approximate inference schemes compared to maximum likelihood approach.
result FBBO using EI with an ARD kernel leads to best performance in noise-free setting.

AVICA estimates noise levels for better group ICA source recovery.

problem Estimating shared independent sources from multiple noisy views.
method AVICA models each view as a linear mixture of shared sources with additive noise, optimizing noise levels alongside sources.
result AVICA yields better source estimates than other methods, especially in real-world applications like MEG and fMRI.

Estimates Ornstein-Uhlenbeck process from high-frequency data, reducing noise bias.

problem Parameter estimation bias in high-frequency stock data.
method Maximum likelihood estimator robust to market microstructure noise.
result Noise-robust estimator leads to improved pairs trading strategy profitability.

We present a new method for the separation of superimposed, independent, auto-correlated components from noisy multi-channel measurement. The presented method simultaneously reconstructs and separates the components, taking all channels into account and thereby increases the effective signal-to-noise ratio considerably…

2017-05-05abs ↗pdf ↗

Efficiently learns halfspaces with malicious noise, near-optimal label complexity.

problem Learning ss-sparse halfspaces under malicious label noise.
method Active learning algorithm with instance reweighting and empirical risk minimization.
result Near-optimal label complexity of O(slog4d/ε)O(s \log^4 d / ε) and noise tolerance Ω(ε)Ω(ε).

Bayesian neural networks decompose uncertainty into epistemic and aleatoric components for efficient and risk-sensitive learning.

problem Uncertainty in Bayesian neural networks estimation of weights and complex noise patterns in data.
method Decomposition of uncertainty into epistemic and aleatoric components, and definition of a risk-sensitive criterion for reinforcement learning.
result Identification of informative points for active learning and policies balancing expected cost, model-bias, and noise aversion.

Edgeworth Accountant calculates privacy loss under differential privacy compositions efficiently.

problem Efficiently computing overall privacy loss under composition of private algorithms.
method Analytical approach using ff-differential privacy framework and Edgeworth expansion.
result Non-asymptotic (ε,δ)(ε, δ)-differential privacy bounds with reduced computational cost.

Neural networks estimate time-varying parameters in AR(p) models with different noise types.

problem Forecasting time-dependent parameters in AR(p) processes with varying noise.
method Deep learning for time-varying coefficients, Gaussian and Laplace noise models.
result Simple model with time-varying parameters can effectively forecast complex dynamics.

Paper proposes methods to improve SVM classifiers in noisy data scenarios.

problem Improving SVM classifiers when training data contains label noise.
method Mixed Integer Linear and Non Linear models with relabeling and clustering.
result Effective methods improve SVM performance in noisy data scenarios.

Noise-aware Bayesian inference framework for locally private data collection.

problem Privacy-preserving data collection with non-trustworthy aggregators.
method Noise-aware probabilistic modeling framework for Bayesian inference under LDP.
result Demonstrated efficacy in parameter estimation for various distributions and regression models.

Framework for robust control in cooperative systems with uncertain common noise.

problem Optimizing collective behavior of agents in the presence of uncertain common noise.
method Proposes a robust mean-field control framework and proves existence of optimal controls.
result Existence of optimal open-loop controls linked to a lifted robust Markov decision problem.

SignSGD outperforms SGD in linear regression with optimal scaling laws under PLRF model.

problem Improving linear regression performance with signSGD under power-law random features.
method Analysis of signSGD risk under PLRF model, comparison with SGD, identification of unique effects.
result SignSGD can have a steeper compute-optimal slope than SGD in noisy regimes, especially with WSD schedule.

CLAPS improves conformal regression by adaptively scaling interval widths based on last-layer Laplace uncertainty.

problem Lack of adaptive interval width scaling in conformal regression for heterogeneous inputs.
method CLAPS uses heteroscedastic last-layer Laplace uncertainty to adaptively scale interval widths, combining aleatoric and epistemic uncertainties.
result CLAPS provides competitive interval efficiency with nominal-level coverage, reducing to aleatoric scaling as epistemic uncertainty decreases.

Study examines robustness of NPI effectiveness models against COVID-19.

problem How do NPI effectiveness estimates vary with model assumptions and data?
method Investigated 2 NPI effectiveness models and 6 variants, evaluated robustness to unseen countries, parameters, and data.
result NPI effectiveness estimates are remarkably robust to different variables.

Doubly-stochastic normalization improves robustness to heteroskedastic noise.

problem Robustness to heteroskedastic noise in affinity matrix construction.
method Doubly-stochastic normalization of the Gaussian kernel.
result Doubly-stochastic normalization converges to clean matrix with rate m1/2m^{-1/2} under heteroskedastic noise.

Dropout-based regularization methods can be regarded as injecting random noise with pre-defined magnitude to different parts of the neural network during training. It was recently shown that Bayesian dropout procedure not only improves generalization but also leads to extremely sparse neural architectures by automatica…

2017-05-20abs ↗pdf ↗

Proposes a new k-NN algorithm to improve classification accuracy by removing noise and pseudo-neighbours.

problem Noise and pseudo-neighbours in large-scale databases affect k-NN performance.
method Introduces a weighted mutual k-Nearest Neighbour algorithm to detect and remove noise, and minimize distant neighbours' influence.
result The proposed algorithm provides comparative better results compared to standard k-NN.