Union-Find Problem section 12.9.2 Given a set {1, 2, …, n} of n elements. Initially each element is in a different set. {1}, {2}, …, {n} An intermixed sequence of union and find operations is performed. A union operation combines two sets into one.

ByTrees Make Money Fast! Bank Robbery Stock Fraud Ponzi Scheme Outline and Reading Tree ADT ( §6.1 ) Preorder and postorder traversals ( §6.2 ) BinaryTree ADT ( §6.3 ) Inorder traversal Euler Tour traversal Template method pattern Data structures for trees ( §6.4 )

ByAmortized Algorithm Analysis. COP3503 July 25, 2007 Andy Schwartz. Contents. Indirect Solutions Amortized Analysis Introduction Extendable Array Example Binomial Queue Binomial Queue Example. Indirect Solution. 10 yards / minute 100 yards / minute.

ByMark Bloemeke Artificial Intelligence Laboratory University of South Carolina. Marco Valtorta Artificial Intelligence Laboratory University of South Carolina. A Hybrid Algorithm to Compute Marginal and Joint Beliefs in Bayesian Networks and its complexity. Presentation by. Instructor.

ByTCSS 342, Winter 2006 Lecture Notes. Trees Binary Trees Binary Search Trees. Chapter Objectives. Learn about tree structures definition traversal operations Learn about how to implement tree structures linked structures simulated links using arrays computational strategy using arrays

ByCOMP171 Fall 2005. AVL-Trees. Balanced binary tree. The disadvantage of a binary search tree is that its height can be as large as N-1 This means that the time needed to perform insertion and deletion and many other operations can be O(N) in the worst case We want a tree with small height

ByChomsky & Greibach Normal Forms. Hector Miguel Chavez Western Michigan University. Presentation Outline. Introduction Chomsky normal form Preliminary simplifications Final steps Greibach Normal Form Algorithm (Example) Summary. Introduction. Grammar: G = (V, T, P, S). T = { a, b }.

ByTournament Trees. CSE, POSTECH. Tournament Trees. Used when we need to break ties in a prescribed manner To select the element that was inserted first To select the element on the left

ByB-Trees. Motivation for B-Trees. So far we have assumed that we can store an entire data structure in main memory What if we have so much data that it won’t fit? We will have to use disk storage but when this happens our time complexity fails

ByNoise, Information Theory, and Entropy. CS414 – Spring 2007 By Roger Cheng, Karrie Karahalios, Brian Bailey. Communication system abstraction. Information source. Encoder. Modulator. Sender side. Channel. Receiver side. Decoder. Demodulator. Output signal. The additive noise channel.

ByVector Space Model : Ranking Revisited. Adapted from Lectures by Prabhakar Raghavan (Yahoo and Stanford) and Christopher Manning (Stanford). Recap: tf-idf weighting. The tf-idf weight of a term is the product of its tf weight and its idf weight.

ByBasic Concepts of Encoding. Error Correction vs. Compression The Simplest Parity-Control Error Detection Encoding Shannon- Fano and Huffman Encoding. Redundancy vs. Efficiency.

ByChapter 7 Digital Camera Example. Outline. Introduction to a simple digital camera Designer’s perspective Requirements specification Design Four implementations. Introduction. Putting it all together General-purpose processor Single-purpose processor Custom Standard Memory

ByHashing Technology: Past, Now, and Future. Chin-Chen Chang, Ph.D. Chair Professor Dept. of Information Engineering and Computer Science, Feng Chia University, Taiwan. Outlines. 1. Introduction 2. Conventional Methods 3. Collision Resolution Strategies 4. Evaluation 5. Perfect Hashing

ByCS 445 / 645: Introductory Computer Graphics. Visible Surface Determination. Recap: Rendering Pipeline. Almost finished with the rendering pipeline: Modeling transformations Viewing transformations Projection transformations Clipping Scan conversion

ByAdditive Models and Trees. Lecture Notes for CMPUT 466/551 Nilanjan Ray. Principal Source: Department of Statistics, CMU. Topics to cover. GAM: Generalized Additive Models CART: Classification and Regression Trees MARS: Multiple Adaptive Regression Splines. Generalized Additive Models.

ByBasics of Compression. Goals: to understand how image/audio/video signals are compressed to save storage and increase transmission efficiency to understand in detail common formats like GIF, JPEG and MPEG. What does compression do. Reduces signal size by taking advantage of correlation

ByAgenda. Introduction to Binary Trees Implementing Binary Trees Searching Binary Search Trees Tree Traversal …1. Breadth-First ….2. Depth-First Insertion Deletion by Copying Balanced Trees Heaps / Heap Sort. Lecture Outline. Heap Definition Heapifying an Array Heap Sort

ByMin-Max Heaps. A double-ended priority queue is a data structure that supports the following operations: inserting an element with an arbitrary key deleting an element with the largest key deleting an element with the smallest key A Min-Max Heap supports all of the above operations.

ByVerification of FSM Equivalence. Goal : Verify that two sequential circuit implementations always produce the same sequence of outputs given the same sequence of inputs. out1. out2. i1. i1. M1. M2. Note: both machines are completely specified.

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