77 citations · 219 across the 17 of their papers we have counts for
6 papers · 1 filter
Adaptive minimax optimality in statistical inverse problems via SOLIT -- Sharp Optimal Lepskii-Inspired Tuning
Housen Li, Frank Werner
We consider statistical linear inverse problems in separable Hilbert spaces and filter-based reconstruction methods of the form , where is t…
Frame-constrained Total Variation Regularization for White Noise Regression
Miguel del Álamo, Housen Li, Axel Munk
Despite the popularity and practical success of total variation (TV) regularization for function estimation, surprisingly little is known about its theoretical performance in a sta…
Multiscale Change-point Segmentation: Beyond Step Functions
Housen Li, Qinghai Guo, Axel Munk
Modern multiscale type segmentation methods are known to detect multiple change-points with high statistical accuracy, while allowing for fast computation. Underpinning theory has…
The Essential Histogram
Housen Li, Axel Munk, Hannes Sieling +1
The histogram is widely used as a simple, exploratory display of data, but it is usually not clear how to choose the number and size of bins. We construct a confidence set of distr…
Variational Multiscale Nonparametric Regression: Smooth Functions
Markus Grasmair, Housen Li, Axel Munk
For the problem of nonparametric regression of smooth functions, we reconsider and analyze a constrained variational approach, which we call the MultIscale Nemirovski-Dantzig (MIND…
FDR-Control in Multiscale Change-point Segmentation
Housen Li, Axel Munk, Hannes Sieling
Fast multiple change-point segmentation methods, which additionally provide faithful statistical statements on the number, locations and sizes of the segments, have recently receiv…