6 papers
Inferring Cooperativity From Pooled Measurements
Robin Requadt, Housen Li
In many modern experiments, latent interactions drive multicomponent stochastic systems, yet the data are available only as pooled measurements that obscure these dependencies. Whe…
Weak convergence of Bayes estimators under general loss functions
Robin Requadt, Housen Li, Axel Munk
We investigate the asymptotic behavior of parametric Bayes estimators under a broad class of loss functions that extend beyond the classical translation-invariant setting. To this…
Multiscale Quantile Regression with Local Error Control
Zhi Liu, Housen Li
For robust and efficient detection of change points, we introduce a novel methodology MUSCLE (Multiscale qUantile Segmentation Controlling Local Error) that partitions serial data…
Online jump and kink detection in segmented linear regression: Statistical optimality meets computational efficiency
Annika Hüselitz, Housen Li, Axel Munk
We consider the problem of sequential (online) estimation of a single change point in a piecewise linear regression model under a Gaussian setup. We demonstrate that certain CUSUM-…
Central limit theorems for the eigenvalues of graph Laplacians on data clouds
Chenghui Li, Nicolás GarcÃa Trillos, Housen Li +1
Given i.i.d.\ samples from a distribution supported on a low dimensional manifold embedded in Eucliden space, we consider the graph Laplacian ope…
Adaptive monotonicity testing in sublinear time
Housen Li, Zhi Liu, Axel Munk
Modern large-scale data analysis increasingly faces the challenge of achieving computational efficiency as well as statistical accuracy, as classical statistically efficient method…