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Aug 16, 2023 16:55
11 mos ago
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English term
Maximum Covariance Unfolding
English to French
Science
Computers: Systems, Networks
Mapping algorithm
This has to do withh calculations of probabilities for cells in a map, based on the following theory:
In this paper, we investigate the use of maximum variance unfolding (MVU) [24] for the simultane-ous dimensionality reduction of data from different input modalities. Though the original algorithm does not solve this problem, we show that it can be adapted to provide a compelling solution. In its original formulation, MVU computes a low dimensional embedding that maximizes the variance of its outputs, subject to constraints that preserve local distances. We explore a modification of MVU that computes a joint embedding of high dimensional inputs from different data sources. In this joint embedding, our goal is to discover a common low dimensional representation of just those degrees of variability that are correlated across different modalities. To achieve this goal, we design the embedding to maximize the inter-source correlation between aligned outputs while preserving
the local, intra-source distances. By analogy to MVU, we call our approach maximum covariance unfolding (MCU).
In this paper, we investigate the use of maximum variance unfolding (MVU) [24] for the simultane-ous dimensionality reduction of data from different input modalities. Though the original algorithm does not solve this problem, we show that it can be adapted to provide a compelling solution. In its original formulation, MVU computes a low dimensional embedding that maximizes the variance of its outputs, subject to constraints that preserve local distances. We explore a modification of MVU that computes a joint embedding of high dimensional inputs from different data sources. In this joint embedding, our goal is to discover a common low dimensional representation of just those degrees of variability that are correlated across different modalities. To achieve this goal, we design the embedding to maximize the inter-source correlation between aligned outputs while preserving
the local, intra-source distances. By analogy to MVU, we call our approach maximum covariance unfolding (MCU).
Proposed translations
(French)
3 | Déploiement de la covariance maximale | Aurélien ARPAZ |
References
Understanding the context: | Sakshi Garg |
Proposed translations
18 hrs
Déploiement de la covariance maximale
Si l'on s'accorde pour que MVU puisse se formuler "déploiement de la variance maximale", MCU serait par analogie (comme suggéré) "déploiement de la covariance maximale". Ce qui ne préjuge en aucun cas de la pertinence de l'approche commentée.
Note from asker:
merci |
Reference comments
14 hrs
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