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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.

169,291 papers · 148 categories

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48 results for nonparametric change detection

Post-detection analysis identifies responsible coordinates for multivariate change-points.

problem Identifying which coordinates in multivariate time series change after a detected change-point.
method Two-sample testing procedures with nonparametric tests for Type I error control.
result Strong performance of proposed post hoc statistical procedures.

Develops methods for inference after detecting a change in sequential data.

problem Inference after a detected change in sequential data.
method General framework for constructing confidence sets using only data up to a stopping time.
result First general method for sequential changepoint localization with theoretical guarantees.

Detects data drift and outliers affecting ML model performance over time.

problem Detecting distribution changes between training and deployment datasets for machine learning models.
method Nonparametrically tests model prediction confidence distributions for changes using Change Point Models (CPMs). Also uses nonparametric outlier methods.
result Demonstrates robustness of the method under various levels of drift class contamination.

A flexible nonparametric online changepoint detection algorithm for high-frequency data.

problem Detecting changes in real-time in high-frequency data streams with limited computational resources.
method NP-FOCuS, a sequential likelihood ratio test for a change in the empirical cumulative density function, using functional pruning.
result NP-FOCuS outperforms current nonparametric online changepoint techniques in various settings.

Reduces change detection to estimation using confidence sequences.

problem Detecting changes in data streams with minimal delay and false alarms.
method Reduction from sequential change detection to sequential estimation using confidence sequences.
result Change detection scheme with minimal structural assumptions and strong guarantees.

PyChEst detects changes in non-stationary time series without distributional assumptions.

problem Detecting changes in non-stationary time series data.
method Nonparametric algorithms for consistent detection of multiple changepoints in piece-wise stationary processes.
result PyChEst consistently detects changes without distributional assumptions.

New method detects changes in high-dimensional data from small samples.

problem Detecting changes in high-dimensional data with limited samples.
method Angular kernel scan framework for detecting marginal distributional shifts.
result Exact population mean factorization and asymptotically distribution-free test.

Detecting the emergence of an abrupt change-point is a classic problem in statistics and machine learning. Kernel-based nonparametric statistics have been used for this task which enjoy fewer assumptions on the distributions than the parametric approach and can handle high-dimensional data. In this paper we focus on th…

2015-07-05abs ↗pdf ↗

Bayesian method detects change points and clusters in piece-wise constant signals.

problem Detecting change points and clustering in piece-wise constant signals.
method Nonparametric penalized least square model selection on partitions of design points, with an efficient algorithm.
result Oracle inequality and adaptive upper bound on expected square risk of the estimator.

Paper uses optimal transport-based statistics for change point detection.

problem Change point detection in multivariate data.
method Soft rank energy and entropically regularized optimal transport.
result Soft rank energy performs better in real datasets with strong continuity and convergence properties.

New kernel tests detect differences between distributions exponentially quickly.

problem Characterize the asymptotic performance of kernel two-sample tests.
method Established exponentially consistent kernel two-sample tests for unknown distributions.
result Exponential decay rate of type-II error probability is optimal and independent of kernels.

Bayesian nonparametric models improve OOD detection, especially with complex covariance structures.

problem Improving out-of-distribution detection methods, especially in complex scenarios.
method Proposes Bayesian nonparametric mixture models with hierarchical priors that generalize the Mahalanobis distance score.
result Bayesian nonparametric methods outperform existing OOD methods, especially in complex scenarios.

New method tracks significant shifts in nonparametric bandits.

problem Tracking significant changes in nonparametric contextual bandits.
method Proposed a notion of 'experienced significant shifts' to adapt to minimax rate without knowledge of change parameters.
result Experienced significant shifts count fewer changes than traditional metrics, leading to an adaptive algorithm.

A nonparametric method for time series analysis extracts envelopes, detects peaks, and clusters data.

problem Extracting envelopes, detecting peaks, and clustering in time series data.
method Iterative procedure that minimizes L1L_1 drift to create upper and lower bounding signals, using Viterbi-like path tracking and optimal elimination rules.
result Efficiently calculated solution with near-linear time complexities for various applications.

We address the issue of edge detection in Synthetic Aperture Radar imagery. In particular, we propose nonparametric methods for edge detection, and numerically compare them to an alternative method that has been recently proposed in the literature. Our results show that some of the proposed methods display superior res…

2012-07-08abs ↗pdf ↗

A novel dynamic Bayesian nonparametric topic model for anomaly detection in video is proposed in this paper. Batch and online Gibbs samplers are developed for inference. The paper introduces a new abnormality measure for decision making. The proposed method is evaluated on both synthetic and real data. The comparison w…

2016-06-27abs ↗pdf ↗

New method detects TC imagery patterns for rapid intensity change.

problem Detecting upcoming rapid intensity changes in TC satellite imagery.
method Nonparametric test of association between images and event labels using neural networks and bootstrap.
result Identifies archetypes of infrared imagery associated with elevated rapid intensification risk.

Develops a method to detect changes in linear systems with temporal correlations.

problem Detect abrupt changes in time series data with temporal correlations.
method Data-dependent threshold for online change point detection in linear dynamical systems.
result Achieves a pre-specified upper bound on the probability of false alarms and provides a finite-sample-based bound for detection probability.

The paper proposes a fast anomaly detection method for high-dimensional systems.

problem Real-time detection of anomalies in high-dimensional systems.
method Sequential and multivariate anomaly detection method, data-driven, semi-supervised.
result The method can quickly and accurately detect anomalies, including changes in correlation structure and stealth attacks.

We study statistical detection of grayscale objects in noisy images. The object of interest is of unknown shape and has an unknown intensity, that can be varying over the object and can be negative. No boundary shape constraints are imposed on the object, only a weak bulk condition for the object's interior is required…

2011-02-23abs ↗pdf ↗

Detects change-points in similarity networks to identify anomalous nodes.

problem Detecting changes in network structure that affect node similarity.
method Sequential node-wise average similarity measures for change detection; community detection for anomaly isolation.
result Simple sequential procedure effectively identifies change-points and anomalous nodes.

New algorithm detects changes in high-dimensional data with mean and variance.

problem Challenges in detecting changes in high-dimensional data with mean and variance.
method Complete graph-based approach to detect changes of mean and variance from low to high-dimensional online data.
result The proposed method outperforms existing methods in terms of detection power.

New method detects and locates changes in spatio-temporal point processes.

problem Detecting and localizing changes in spatio-temporal data.
method Score-based, likelihood-free approach estimating change time and region.
result The method provides theoretical guarantees on detection and localization accuracy.

New method recovers causal DAGs from general environments without strict assumptions.

problem Recovering causal DAGs from real-world data with varying distributions.
method Formalizes desiderata for causal representation learning in general environments, leveraging sufficient change conditions up to third-order derivatives.
result Fully recovers latent DAG and identifies latent variables up to minor indeterminacies under nonparametric mixing.

Optimal tests for nonparametric one- and two-sample testing are derived using MMD and KSD.

problem Developing optimal tests for nonparametric one- and two-sample testing.
method Using Sanov's theorem and Maximum Mean Discrepancy (MMD), the optimal error exponents are derived for one-sample tests. For two-sample tests, the quadratic-time Kernel Stein Discrepancy (KSD) is shown to achieve the optimal type-II error exponent.
result Achievement of optimal error exponents for nonparametric one- and two-sample testing in the universal setting.

New test detects differences in heterogeneous datasets.

problem Detecting differences between two samples with unknown heterogeneity.
method Developed a nonparametric testing procedure that handles latent heterogeneity through a composite null.
result The test accurately detects differences in the presence of unknown heterogeneity.

New algorithm detects changes in Gaussian Process covariance structures.

problem Detecting abrupt changes in Gaussian Process covariance structures.
method Statistical hypothesis tests and Bayesian Online Change Point Detection (BOCPD) with improved thresholds.
result CBOCPD finds multiple structural breaks in GPs even with imprecise hyperparameters.

Detects graph topology changes from noisy signals using prior spectral information.

problem Detecting changes in graph topology from graph signals.
method Leverages graph filtering and subspace detection to distill problem into a CUSUM-based algorithm.
result Demonstrates the effectiveness of incorporating prior spectral signatures for change-point detection.

GOCPD detects change points by maximizing the probability of two independent models.

problem Large false discovery rates in online change point detection methods.
method GOCPD uses ternary search to find change points by maximizing the probability of two independent models.
result GOCPD accelerates CPD with logarithmic complexity for single change point detection.

Balancing graph summarization and change detection in streaming data.

problem Balancing compression rate in graph summarization and accuracy in change detection.
method Introducing a probabilistic hierarchical latent variable model and optimizing parameters based on the minimum description length principle to balance the trade-off.
result Guaranteed suppression of Type I error probability (false alarms) in change detection.