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1.
Estimation of task-related dynamic brain connectivity via data inflation and classification model explainability
Peter Rogelj, 2025, izvirni znanstveni članek

Opis: Study of brain function often involves analyzing task-related switching between intrinsic brain networks, which connect various brain regions. Functional brain connectivity analysis methods aim to estimate these networks but are limited by the statistical constraints of windowing functions, which reduce temporal resolution and hinder explainability of highly dynamic processes. In this work, we propose a novel approach to functional connectivity analysis through the explainability of EEG classification. Unlike conventional methods that condense raw data into extracted features, our approach inflates raw EEG data by decomposition into meaningful components that explain processes in the application domain. To uncover the brain connectivity that affects classification decisions, we introduce a new method of dynamic influence data inflation (DIDI), which extracts signals representing interactions between electrode regions. These inflated data are then classified using an end-to-end neural network classifier architecture designed for raw EEG signals. Saliency map estimation from trained classifiers reveals the connectivity dynamics affecting classification decisions, which can be visualized as dynamic connectivity support maps for improved interpretability. The methodology is demonstrated on two publicly available datasets: one for imagined motor movement classification and the other for emotion classification. The results highlight the dual benefits of our approach: in addition to providing interpretable insights into connectivity dynamics it increases classification accuracy.
Ključne besede: EEG, functional connectivity, data inflation, classification, explainability, saliency maps
Objavljeno v RUP: 04.06.2025; Ogledov: 2516; Prenosov: 20
.pdf Celotno besedilo (1,74 MB)
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Archimedean maps of higher genera
Ján Karabáš, Roman Nedela, 2012, izvirni znanstveni članek

Ključne besede: maps, graphs, embedding
Objavljeno v RUP: 03.04.2017; Ogledov: 4415; Prenosov: 182
URL Povezava na celotno besedilo

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Branched cyclic regular coverings over platonic maps
Kan Hu, Roman Nedela, Naer Wang, 2014, izvirni znanstveni članek

Ključne besede: zemljevidi, grafi, krov, maps, graphs, covering
Objavljeno v RUP: 15.10.2015; Ogledov: 6210; Prenosov: 177
URL Povezava na celotno besedilo

9.
Arc-transitive cycle decompositions of tetravalent graphs
Štefko Miklavič, Primož Potočnik, Steve Wilson, 2008, izvirni znanstveni članek

Opis: A cycle decomposition of a graph ▫$\Gamma$▫ is a set ▫$\mathcal{C}$▫ of cycles of ▫$\Gamma$▫ such that every edge of ▫$\Gamma$▫ belongs to exactly one cycle in ▫$\mathcal{C}$▫. Such a decomposition is called arc-transitive if the group of automorphisms of ▫$\Gamma$▫ that preserve setwise acts transitively on the arcs of ▫$\Gamma$▫. In this paper, we study arc-transitive cycle decompositions of tetravalent graphs. In particular, we are interested in determining and enumerating arc-transitive cycle decompositions admitted by a given arc-transitive tetravalent graph. Among other results we show that a connected tetravalent arc-transitive graph is either 2-arc-transitive, or is isomorphic to the medial graph of a reflexible map, or admits exactly one cycle structure.
Ključne besede: mathematics, graph theory, cycle decomposition, automorphism group, consistent cycle, medial maps
Objavljeno v RUP: 15.10.2013; Ogledov: 8437; Prenosov: 92
URL Povezava na celotno besedilo

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Classification of some regular Cayley maps on diherdal groups
Yong-sun Kwon, István Kovács, 2012, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: Cayley maps, dihedral groups
Objavljeno v RUP: 15.10.2013; Ogledov: 5084; Prenosov: 92
URL Povezava na celotno besedilo

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