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Attention-guided enhanced deconvolution enables reference-free cell type estimation in spatial transcriptomics. [PDF]
Sci RepYang X, Wang Y, Chen X.
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On φ-contractions in probabilistic and fuzzy metric spaces
Fuzzy Sets and Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin-Xuan Fang
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On the isometric isomorphism of probabilistic metric spaces
Applied Mathematics and Mechanics (English Edition), 2002The article is devoted to isomorphisms of probabilistic metric spaces. Two theorems are proved: Theorem 1. If a probabilistic metric space \((E,F)\) is isometrically isomorphic to a generating space of a quasi-metric family, then there is a probabilistic metric space \((E',F')\) such tha t\((E,F)\) is isometrically isomorphic to \((E',F')\). Theorem 2.
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Hausdorff distance and the completion of probabilistic metric spaces
, 1992 The author presents a new method for constructing a completion of a probabilistic metric space (PM-space). The construction uses the probabilistic Hausdorff topology in a natural way to identify a completion of any PM-space with a continuous triangle function.
SEMPI, Carlo
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Probabilistic tracking in a metric space
Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, 2002A new exemplar-based, probabilistic paradigm for visual tracking is presented. Probabilistic mechanisms are attractive because they handle fusion of information, especially temporal fusion, in a principled manner. Exemplars are selected representatives of raw training data, used here to represent probabilistic mixture distributions of object ...
Kentaro Toyama, Andrew Blake 0001
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Probabilistic Tracking with Exemplars in a Metric Space
International Journal of Computer Vision, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kentaro Toyama, Andrew Blake 0001
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On probabilistic ψ-contractions in Menger probabilistic metric spaces
Fuzzy Sets and Systems, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dingwei Zheng, Pei Wang
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2001
In 1942 K. Menger introduced the notion of a statistical metric space as a natural generalization of the notion of a metric space (M, d) in which the distance d(p, q) (p, q ∈ M) between p and q is replaced by a distribution function F p, q ∈ Δ+. F p,q (x) can be interpreted as the probability that the distance between p and q is less than x.
Olga Hadžić, Endre Pap
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In 1942 K. Menger introduced the notion of a statistical metric space as a natural generalization of the notion of a metric space (M, d) in which the distance d(p, q) (p, q ∈ M) between p and q is replaced by a distribution function F p, q ∈ Δ+. F p,q (x) can be interpreted as the probability that the distance between p and q is less than x.
Olga Hadžić, Endre Pap
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Probabilistic enhancement of approximate indexing in metric spaces
Information Systems, 2013Abstract Some approximate indexing schemes have been recently proposed in metric spaces which sort the objects in the database according to pseudo-scores. It is known that (1) some of them provide a very good trade-off between response time and accuracy, and (2) probability-based pseudo-scores can provide an optimal trade-off in range queries if the ...
Takao Murakami +3 more
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