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04/04/2023
Convergence of alternating minimisation algorithms for dictionary learning
In this paper we derive sufficient conditions for the convergence of two...
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12/19/2022
Non-asymptotic bounds for inclusion probabilities in rejective sampling
We provide non-asymptotic bounds for first and higher order inclusion pr...
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09/18/2018
Average performance of Orthogonal Matching Pursuit (OMP) for sparse approximation
We present a theoretical analysis of the average performance of OMP for ...
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05/02/2018
Compressed Dictionary Learning
In this paper we show that the computational complexity of the Iterative...
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04/19/2018
Dictionary learning - from local towards global and adaptive
This paper studies the convergence behaviour of dictionary learning via ...
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01/13/2017
Dictionary Learning from Incomplete Data
This paper extends the recently proposed and theoretically justified ite...
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01/24/2014
Local Identification of Overcomplete Dictionaries
This paper presents the first theoretical results showing that stable id...
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08/18/2010
Learning Functions of Few Arbitrary Linear Parameters in High Dimensions
Let us assume that f is a continuous function defined on the unit ball o...
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05/10/2010