Search Results for author: Housen Li

Found 8 papers, 2 papers with code

Quick Adaptive Ternary Segmentation: An Efficient Decoding Procedure For Hidden Markov Models

no code implementations29 May 2023 Alexandre Mösching, Housen Li, Axel Munk

Hidden Markov models (HMMs) are characterized by an unobservable (hidden) Markov chain and an observable process, which is a noisy version of the hidden chain.

Optimistic search: Change point estimation for large-scale data via adaptive logarithmic queries

no code implementations20 Oct 2020 Solt Kovács, Housen Li, Lorenz Haubner, Axel Munk, Peter Bühlmann

Change point estimation is often formulated as a search for the maximum of a gain function describing improved fits when segmenting the data.

Change Point Detection

Variational multiscale nonparametric regression: Algorithms

2 code implementations20 Oct 2020 Miguel del Alamo, Housen Li, Axel Munk, Frank Werner

Many modern statistically efficient methods come with tremendous computational challenges, often leading to large scale optimization problems.

Computation Optimization and Control 62G05, 68U10

Seeded intervals and noise level estimation in change point detection: A discussion of Fryzlewicz (2020)

no code implementations23 Jun 2020 Solt Kovács, Housen Li, Peter Bühlmann

In this discussion, we compare the choice of seeded intervals and that of random intervals for change point segmentation from practical, statistical and computational perspectives.

Methodology Computation

Frame-constrained Total Variation Regularization for White Noise Regression

2 code implementations5 Jul 2018 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 statistical setting.

Statistics Theory Statistics Theory 62G05, 62M40, 62G20

NETT: Solving Inverse Problems with Deep Neural Networks

no code implementations28 Feb 2018 Housen Li, Johannes Schwab, Stephan Antholzer, Markus Haltmeier

Our theoretical results and framework are different from any previous work using neural networks for solving inverse problems.

The Essential Histogram

no code implementations21 Dec 2016 Housen Li, Axel Munk, Hannes Sieling, Guenther Walther

We define the essential histogram as the histogram in the confidence set with the fewest bins.

Statistics Theory Methodology Statistics Theory 62G10, 62H30

FDR-Control in Multiscale Change-point Segmentation

no code implementations18 Dec 2014 Housen Li, Axel Munk, Hannes Sieling

In this paper, we propose a multiscale segmentation method, FDRSeg, which controls the false discovery rate (FDR) in the sense that the number of false jumps is bounded linearly by the number of true jumps.

Statistics Theory Statistics Theory

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