In this paper, we propose a new fuzzy clustering algorithm based on the modeseekingframework. Given a dataset in Rd, we define regions of high density thatwe call cluster cores. We then consider a random walk on a neighborhood graphbuilt on top of our data points which is designed to be attracted by high densityregions. The strength of this...
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2018 (v1)Journal articleUploaded on: March 25, 2023
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June 3, 2022 (v1)Publication
We consider a signal composed of several periods of a periodic function, of which we observe a noisy reparametrisation. The phase estimation problem consists of finding that reparametrisation, and, in particular, the number of observed periods. Existing methods are well-suited to the setting where the periodic function is known, or at least,...
Uploaded on: December 3, 2022 -
June 15, 2016 (v1)Conference paper
In this paper, we propose a novel pooling approach for shape classification and recognition using the bag-of-words pipeline, based on topological persistence, a recent tool from Topological Data Analysis. Our technique extends the standard max-pooling, which summarizes the distribution of a visual feature with a single number, thereby losing...
Uploaded on: February 28, 2023