PPT-Probabilistic Reasoning and Learning with Permutations

Thesis Defense 7292011 Jonathan Huang Collaborators Carlos Guestrin CMU Leonidas Guibas Stanford Xiaoye Jiang Stanford Ashish Kapoor Microsoft Political Elections in Ireland. (goal-oriented). Action. Probabilistic. Outcome. Time 1. Time 2. Goal State. 1. Action. State. Maximize Goal Achievement. Dead End. A1. A2. I. A1. A2. A1. A2. A1. A2. A1. A2. Left Outcomes are more likely. Section 6.3. Section Summary. Permutations. Combinations. Combinatorial Proofs. Permutations. Definition. : A . permutation. of a set of distinct objects is an ordered arrangement of these objects. An ordered arrangement of r elements of a set is called an . Shou-pon. Lin. Advisor: Nicholas F. . Maxemchuk. Department. . of. . Electrical. . Engineering,. . Columbia. . University,. . New. . York,. . NY. . 10027. . Problem: . Markov decision process or Markov chain with exceedingly large state space. Evaluate the following. 6!. MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises . Evaluate the following. 6! = 6 x 5 x 4 x 3 x 2 x 1. MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises . Ashish Srivastava. Harshil Pathak. Introduction to Probabilistic Automaton. Deterministic Probabilistic Finite Automata. Probabilistic Finite Automaton. Probably Approximately Correct (PAC) learnability. and Subsets. ICS 6D. Sandy . Irani. Lexicographic Order. S a set. S. n . is the set of all n-tuples whose entries are elements in S.. If S is ordered, then we can define an ordering on the n-tuples of S called the . What is a permutation?. An arrangement of objects or events in which the order is important . . You can use a list to find the number of permutations of a group of objects.. Example #1. The conductor of a symphony orchestra is planning a concert titled “An Evening with the Killer B’s.” The concert will feature music by Bach, Beethoven, Brahms, and Bartok. In how many different ways can the conductor program each composer’s music?. Evaluate the following. (7-3)! . 6! . MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises . Evaluate the following. . = . . . = . . .  .  . . MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises . Other Counting Tools: Factorials. MATH 110 Sec 12-3 Lecture: Permutations and Combinations . Other Counting Tools: Factorials. Sometimes we are interested in counting the number of different arrangements of a group of objects.. Chapter 3: Probabilistic Query Answering (1). 2. Objectives. In this chapter, you will:. Learn the challenge of probabilistic query answering on uncertain data. Become familiar with the . framework for probabilistic . Permutations. Objectives. Use the Fundamental Counting Principle to count permutations.. Evaluate factorial expressions.. Use the permutation formula.. Find the number of permutations of duplicate items.. - Charles Sanders Peirce. On the Radar. Researching the Persuasive Speech Assignment. Due Wednesday on . WebCT. (by 11:59 p.m.). Exam Two. This Friday in Lecture. Study Guide on Course Website. Workshops for the Persuasive Speech. Permutations vs. Combinations Warm up- Group Study You have 5 kinds of wrapping paper and 4 different bows. How many different combinations of paper and a bow can you have? Permutation (pg.681 Alg1) 11-1 Permutations and Combinations Holt Algebra 2 Warm Up Lesson Presentation Lesson Quiz Warm Up Evaluate. 1. 5  4  3  2  1 2. 7  6  5  4  3  2  1