'Empty set' presentation slideshows

Practical Statistical Relational Learning

Practical Statistical Relational Learning. Pedro Domingos Dept. of Computer Science & Eng. University of Washington. Overview. Motivation Foundational areas Probabilistic inference Statistical learning Logical inference Inductive logic programming Putting the pieces together

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Counting I: One To One Correspondence and Choice Trees

Counting I: One To One Correspondence and Choice Trees . Hint: Count without counting!. How many seats in this auditorium?. If I have 14 teeth on the top and 12 teeth on the bottom, how many teeth do I have in all?. Addition Rule. Let A and B be two disjoint, finite sets.

974 views • 79 slides

Nondeterministic Finite Automata

Nondeterministic Finite Automata. Nondeterminism Subset Construction e -transitions. Nondeterministic FA. A nondeterministic finite automaton has the ability to be in several states at once.

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MGF 1106

MGF 1106. Test 1 Review and Practice Solutions. You will need to have your own calculator for the test. You may not share calculators or use any type of communication device in place of a calculator.

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Global optimizations

Global optimizations. Local analysis framework. Define an analysis of a basic block as a quadruple ( D , V , F , I ) where D is a direction (forwards or backwards) V is a set of values the program can have at any point

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Rescuing an Endangered Species with Monte Carlo AI

Rescuing an Endangered Species with Monte Carlo AI. Tom Dietterich based on work by Dan Sheldon et al. Overview. Collaborative project to develop optimal conservation strategies for Red-Cockaded Woodpecker (RCW)

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Minimum Spanning Tree

Clayton Andrews COT4810 1/31/08. Minimum Spanning Tree. Firstly, a graph. A graph is a series of nodes connected with edges. Types of Graphs. Connected All nodes can be reached by all other nodes by following some series of edges All nodes are reachable from all other nodes Disconnected

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A computational study of cross-situational techniques for learning word-to-meaning mappings

A computational study of cross-situational techniques for learning word-to-meaning mappings. Jeffrey Mark Siskind Presented by David Goss-Grubbs March 5, 2006. The Problem: Mapping Words to Concepts. Child hears John went to school Child sees GO( John , TO( school )) Child must learn

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Theorem 1 . For any two sets A and B A ? A ? B .

Last time we proved theorems:. Theorem 1 . For any two sets A and B A ? A ? B . . Theorem 2 . For any two sets A and B A ? B ? A. Theorem 3. Let A , B and C be any sets. Then if A ? B and B ? C , then A ? C . . B. A. B ? A ? B . ?. A ? B ? B . x ? B.

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LING 408/508: Computational Techniques for Linguists

LING 408/508: Computational Techniques for Linguists. Lecture 7 9 /5/2012. Outline. Sets For loops. Creating sets. >>> s1 = {1,2,3} >>> s1 {1, 2, 3} >>> s2 = set() # empty set >>> s2 {} >>> s3 = set([1,2,3]) # call set constructor >>> s3 # on a list {1, 2, 3}

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Exercise: ( aa )* | ( aaa )*

Exercise: ( aa )* | ( aaa )*. Construct automaton and eliminate epsilons . Determinization : Subset Construction. keep track of a set of all possible states in which automaton could be view this finite set as one state of new automaton Apply to ( aa )* | ( aaa )*

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Inductive Proofs

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Basic Definitions of Set Theory

Basic Definitions of Set Theory. Lecture 24 Section 5.1 Fri, Mar 2, 2007. The Universal Set. Whenever we use sets, there must be a universal set U which contains all elements under consideration. Typical examples are U = R and U = N .

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2.1 Basic Set Concepts

2.1 Basic Set Concepts. Set 2 : a number of things of the same kind that belong or are used together [an electric train set] 21 : a collection of elements and especially mathematical ones (as numbers or points)- called also class (MWD). The objects in a set are called elements or members .

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Venn Diagrams and Set Operations: Tools for Probability

Venn Diagrams and Set Operations: Tools for Probability. Properties of the Probability of an Event. Here are some properties of the probability of an event that everyone must remember. Let E be an event of a sample space S. If E is the empty set, then P(E)=0 .

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Objective- To use intersection and union to simplify problems involving sets.

Objective- To use intersection and union to simplify problems involving sets. Operations with Sets. A = { 1, 2, 3 ,4, 5}. B = { 2, 4, 6, 8, 10}. C = { 5, 6, 7, 8}. ( and ). Intersection ( ). - the elements which are common to both sets. { 2, 4}. 1) A B =.

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Introduction to Set Builder Notation

Introduction to Set Builder Notation. By: R.Prevost. Contents. What is a set? How to write sets Set-builder notation. What is a set?. A set is a collection of objects which can be listed These object in the collection are called elements. How to write sets.

509 views • 6 slides

THE WELL ORDERING PROPERTY

THE WELL ORDERING PROPERTY. Definition: Let B be a set of integers. An integer m is called a least element of B if m is an element of B, and for every x in B, m ?x. Example: 3 is a least element of the set {4,3,5,11}.

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