no code implementations • 29 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.
no code implementations • 20 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.
2 code implementations • 20 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
no code implementations • 23 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
2 code implementations • 5 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
no code implementations • 28 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.
no code implementations • 21 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
no code implementations • 18 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