PPT-Recursive Backtracking

Eric Roberts CS 106B January 25 2013 Solving a Maze A journey of a thousand miles begins with a single step Lao Tzu 6 th century BCE The example most often used to illustrate recursive backtracking is the problem of solving a maze which has a long history in its own right. You probably solved it immediately but can you describe the algorithm you use to solve it On a larger maze the actual algorithm you use would be cleare and is called backtracking This is where you try a path until you get stuck then retrace your ste The recursive average is a very efficient way to obtain a time-weighted average by low-pass filtering the signal.. y[n] = (1-a)y[n-1] + ax[n]. Consider the output for a step input if a = 0.632. Output initialized to 0. F01943024. Reference. Yang, . Qingxiong. . "Recursive bilateral filtering." . ECCV . 2012. .. Deriche. , . Rachid. . "Recursively . implementating. the Gaussian and its derivatives." . ICIP 1993.. 2. Regular Expressions . and . Pattern . Matching. Overview. The Perl Approach (recursive backtracking) VS The . egrep. Approach (Thompson Multi-State NFA). Matching. :. 29 Character String, Perl: >60 seconds, Thompson NFA: 20 microseconds. D. Nehab. 1. A. Maximo. 1. R. S. Lima. 2. H. Hoppe. 3. 1. IMPA . 2. Digitok. . . 3. Microsoft Research. Linear, shift-invariant filters. But use feedback from earlier outputs. Section 5.3. 1. Section Summary. Recursively Defined Functions. Recursively Defined Sets and Structures. Structural Induction. Generalized Induction. 2. Recursively Defined Functions. . Definition. Richard . Socher. . Cliff . Chiung. -Yu Lin . Andrew Y. Ng . Christopher D. Manning . Slides. . &. . Speech:. . Rui. . Zhang. Outline. Motivation. . &. . Contribution. Recursive. . Neural. N-Queens. The object is to place queens on a chess board in such a way as no queen can capture another one in a single move. Recall that a queen can move horizontally, vertically, or diagonally an infinite distance. Instructor: Kris Hauser. http://cs.indiana.edu/~hauserk. 1. Constraint Propagation. Place a queen in a square. Remove the attacked squares from future consideration. 2. Constraint Propagation. Count the number of non-attacked squares in every row and column . Self-reflection is the school of wisdom. Baltastar Gracián. 2. An organization chart. Every . structure for presenting data has an underlying data model. 3. Modeling a 1:1 relationship. 1:1 relationship is labeled. “Patterns are everywhere you look”. Learning Target. By the end of section 3.1, I will be able to recognize a recursive pattern and find out the pattern, either increasing or decreasing.. Vocabulary. Section 5.3. Section Summary. Recursively Defined Functions. Recursively Defined Sets and Structures. Structural Induction. Generalized Induction. Recursively Defined Functions. . Definition. : A . Programming Abstractions Cynthia Lee CS106X Today’s topics: Previous lectures: Introduction to recursion with Factorial Mechanics of recursion: looking at the stack frames Classic, widely-used CS algorithm example: Binary Search Recursive Algorithm. Recursive Algorithm. Recursive Algorithm. Recursive Algorithm. . Recursive . Algorithm. . Recursive Algorithm. . Recursive Algorithm. .