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Physics Letters A
Article
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Physics Letters A
Article . 2001 . Peer-reviewed
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Article . 2001
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https://dx.doi.org/10.48550/ar...
Article . 2001
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Cost functions for pairwise data clustering

Authors: ANGELINI, Leonardo; STRAMAGLIA, Sebastiano; NITTI L; PELLICORO M;

Cost functions for pairwise data clustering

Abstract

Cost functions for non-hierarchical pairwise clustering are introduced, in the probabilistic autoencoder framework, by the request of maximal average similarity between the input and the output of the autoencoder. The partition provided by these cost functions identifies clusters with dense connected regions in data space; differences and similarities with respect to a well known cost function for pairwise clustering are outlined.

5 pages, 4 figures

Keywords

Data structures, probabilisit autoencoder framework, Computational problems in statistics, maximal average similarity, FOS: Physical sciences, Potts spin Hamiltonian ground state, Quantum equilibrium statistical mechanics (general), Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze