PPT-6.896: Probability and Computation

Spring 2011 Constantinos Costis Daskalakis costismitedu lecture 23 Phylogenetic Reconstruction Theorem Lecture 21 independent samples from the CFN model suffice to reconstruct the . CS3231, 2010-2011. First Semester. Rahul. Jain. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. Why do I care about Theory ?. It provides solid foundations.. Mike Stannett, University of Sheffield (m.stannett@dcs.shef.ac.uk). New Worlds of Computation, LIFO, . Orléans. , 23 May 2011. Outline of talk. Cosmological computation (what is it?). First-order relativity theories (Andréka et al.). π. . by Archimedes. Bill McKeeman. Dartmouth College. 2012.02.15. Abstract. It is famously known that Archimedes approximated . π.  by computing the perimeters of . many-sided . regular polygons, one polygon inside the circle and one outside. This presentation recapitulates . Project Review 12 July 2013. Projects. Modelling. . dragonfly attention switching. Dendritic auditory processing. Processing images . with . spikes. Dendritic . computation with . memristors. . Computation in RATSLAM. Ranjit . Kumaresan. (MIT). Based on joint works with . Iddo. . Bentov. (. Technion. ), Tal Moran (IDC), Guy . Zyskind. (MIT). x. f. . (. x,y. ). y. f. . (. x,y. ). Secure Computation. Most general problem in cryptography. Adrian Farrel. Old Dog Consulting. adrian@olddog.co.uk. History of PCE. We know where PCE comes from. Simple CSPF computation of paths for MPLS-TE. But RFC 4655 was not quite so limited in its definition. calculus. 1 ≥ . Pr. (h) ≥ 0. If e deductively implies h, then Pr(h|e) = 1. .. (disjunction rule) If h and g are mutually exclusive, then . Pr. (h or g) = . Pr. (h) . Pr. (g). (disjunction rule) If h and g are . 3.1 . The Concept of Probability. 3.2 . Sample Spaces and Events. 3.3 . Some Elementary Probability Rules. 3.4 . Conditional Probability and Independence. 3.5 . Bayes’ Theorem. 3-. 2. Probability Concepts. Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 2 Title and Outline. 2. 2. Probability. 2-1 Sample Spaces and Events . 2-1.1 Random Experiments. 2-1.2 Sample Spaces . Probability and Probability Distribution Dr Manoj Kumar Bhambu GCCBA-42, Chandigarh M- +91-988-823-7733 mkbhambu@hotmail.com Probability and Probability Distribution: Definitions- Probability Rules –Application of Probability nrrrnnnrnrnnr7r rnnr4rrn r r r2 rnr r2rr r rr4 rrr4n44r02r4r2rrrr7 r2rrr r r7rr2rrr40896456 rr rnr4n22r 4n2r4r2rr4 rr4 r r2r rrnr40nnr0nrrr4rr2r4r4r27 2rr4 rrrr4r2rn 24 rr4484 rnnrn rr5rrnr rr2rr4rn 5-57//0--020-0-55/ Active contributions to computation. Dendrites as computational elements:. Examples. Dendritic. computation. r. V. m. = . I. m. . R. m. Current flows uniformly out through the cell: . I. m. = . I. 4. Compute the number of combinations of . n. individuals taken . k. at a time.. Use . combinations to calculate probabilities.. Use . the multiplication counting principle and combinations to calculate probabilities..