Unimodal model representations converge to a relational structure captured by the Indra representation via V-enriched Yoneda embedding, which is unique and structure-preserving and improves cross-model and cross-modal robustness when instantiated with angular distance.
Courier Dover Publications, 2017
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Interleaving distance on single- and multi-parameter persistence modules equals a Galois-edit distance, yielding a new proof of bottleneck stability.
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The Indra Representation Hypothesis for Multimodal Alignment
Unimodal model representations converge to a relational structure captured by the Indra representation via V-enriched Yoneda embedding, which is unique and structure-preserving and improves cross-model and cross-modal robustness when instantiated with angular distance.
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Interleaving Distance as a Galois-Edit Distance
Interleaving distance on single- and multi-parameter persistence modules equals a Galois-edit distance, yielding a new proof of bottleneck stability.