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Lecture Notes
These lecture notes cover several topics such as Topological Space, Metric Space, Convex Sets, Correspondences, Maximum Theorem, KKM Theorem, Existence of Maximal Element, Selectio...
ACL
2010
13 years 5 months ago
2010
We initiate a study comparing effectiveness of the transformed spaces learned by recently proposed supervised, and semisupervised metric learning algorithms to those generated by ...
FOCS
2006
IEEE
14 years 1 months ago
2006
IEEE
We prove that the function d : R3 × R3 → [0, ∞) given by d (x, y, z), (t, u, v) = (t − x)2 + (u − y)2 2 + (v − z + 2xu − 2yt)2 1 2 + (t − x)2 + (u − y)2 1 2 . is ...
APPROX
2010
Springer
13 years 9 months ago
2010
Springer
We initiate the study of on-line metric embeddings. In such an embedding we are given a sequence of n points X = x1, . . . , xn one by one, from a metric space M = (X, D). Our goal...
NAACL
2010
13 years 5 months ago
2010
Translation systems are generally trained to optimize BLEU, but many alternative metrics are available. We explore how optimizing toward various automatic evaluation metrics (BLEU...