PPT-Holder Homeomorphisms and Approximate Nearest Neighbors

Ilya Razenshteyn Microsoft Research Redmond joint with Alexandr Andoni Assaf Naor Aleksandar Nikolov Erik Waingarten How to measure distances Metric spaces Normed spaces. edu Piotr Indyk MIT indykmitedu Abstract We present an algorithm for the approximate near est neighbor problem in a dimensional Euclidean space achieving query time of dn c 1 and space dn 11 c 1 This almost matches the lower bound for hashingbased a Lowe Computer Science Department University of British Columbia Vancouver BC Canada mariusmcsubcca lowecsubcca Keywords nearestneighbors search randomized kdtrees hierarchical kmeans tree clustering Abstract For many computer vision problems the mos Lecture 6. K-Nearest Neighbor Classifier. G53MLE . Machine Learning. Dr . Guoping. Qiu. 1. Objects, Feature Vectors, Points. 2. Elliptical blobs (objects). 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. Yuichi Iijima and . Yoshiharu Ishikawa. Nagoya University, Japan. Outline. Background and Problem Formulation. Related Work. Query Processing Strategies. Experimental Results. Conclusions. 1. 2. Imprecise. Muhammad . Aamir. . Cheema. Outline. Introduction. Past Research. New Trends. Concluding Remarks. Definition. Services that integrate a user’s location with other information to provide added value to a user.. Lecturer: . Yishay. Mansour. Presentation: Adi Haviv and Guy Lev. 1. Lecture Overview. NN general overview. Various methods of NN. Models of the Nearest Neighbor . Algorithm. NN – Risk Analysis . KNN – . Nearest . Neighbor Method . for Pattern . Recognition. This lecture notes is based on the following paper:. B. . Tang and H. He, "ENN: Extended Nearest Neighbor Method for . Pattern Recognition. ," . 1982: -virus, 48,502 bp . 1995: h-influenzae, 1 Mbp . 2000: fly, 100 Mbp. 2001 – present. human (3Gbp), mouse (2.5Gbp), rat. *. , chicken, dog, chimpanzee, several fungal genomes. Gene Myers. Let’s sequence the human genome with the shotgun strategy. Josef . Sivic. http://. www.di.ens.fr. /~josef. INRIA, . WILLOW, ENS/INRIA/CNRS UMR 8548. Laboratoire. . d’Informatique. , . Ecole. . Normale. . Supérieure. , Paris. With slides from: O. Chum, K. . Nearest Neighbor Classification. Ashifur Rahman. About the Paper. Authors:. Trevor Hastie, . Stanford University. Robert . Tibshirani. , . University of Toronto. Publication:. KDD-1995. IEEE Transactions on Pattern Analysis and Machine Intelligence (1996). CSC 600: Data Mining. Class 16. Today…. Measures of . Similarity. Distance Measures. Nearest Neighbors. Similarity and Dissimilarity Measures. Used by a number of data mining techniques:. Nearest neighbors. Chapter 3 Lazy Learning – Classification Using Nearest Neighbors The approach An adage: if it smells like a duck and tastes like a duck, then you are probably eating duck. A maxim: birds of a feather flock together. ℓ. p. –spaces (2<p<∞) via . embeddings. Yair. . Bartal. . Lee-Ad Gottlieb Hebrew U. Ariel University. Nearest neighbor search. Problem definition:. Given a set of points S, preprocess S so that the following query can be answered efficiently:. CS771: Introduction to Machine Learning. Nisheeth. Improving . LwP. when classes are complex-shaped. 2. Using weighted Euclidean or . Mahalanobis. distance can sometimes help. Note: . Mahalanobis. distance also has the effect of rotating the axes which helps.