EXAMPLE : Principle of Optimality and Dynamic Programming.

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Presentation transcript:

EXAMPLE : Principle of Optimality and Dynamic Programming

1.4

Dynamic Programming

Search for best path Dynamic programming principle – If B is on the shortest path from A to C, then the path from A to B that lies on the path from A to C is the shortest path from A to B A B C … …

Dynamic Programming If DP principle holds, then efficient search can be implemented When at node B in search you can prune all paths to B that are not the shortest You should not expand these paths A B C … …

Applications to Handwriting Recognition Address Interpretation – USPS Word Recognition – ZIP + Street No. Hypotheses  – “Small” Lexicons for Word Rec 1.Problem Statement and History 2.Picture of Parsed Address Block 3.Word Recognition Problem 4.Results for NIST OCR Tests with refs

Character Ambiguity in Handwriting Recognition

DP Approach to handwriting recognition Self-Organizing Feature Maps Mixed Linear Programming Fuzzy Inferfence

Segmentation-Based Handwritten Word Recognition Search Problem – How do we put the pieces together?

DP Approach Let I be a word image L = {L1, L2,..., LT} be a lexicon of strings representing all possible identities of I. Word recognition requires finding the string in L that best matches I. Search – DP, Heuristic

DP Approach