PPT-Chance and Randomness

1 Random Having no definite aim or purpose not sent or guided in a particular direction made done occurring etc without method or conscious choice haphazard Oxford English Dictionary. The original motivation for extractors was to simulate randomized algorithms with weak random sources as might arise in nature This motivation is still compelling but extractors have taken on a much wider signi64257cance in the years since they were Both Sides of the Coin. Dave Mark – Intrinsic Algorithm LLC. Brian Schwab – Blizzard. Dave Mark. President & Lead Designer . of . Intrinsic . Algorithm . LLC. Independent Game Studio. AI Consulting Company. . device. independent . randomness. . amplification. with . few. devices. F.G.S.L Brandao. 1. , R. . . Ramanathan. 2. . A. Grudka. 3. , K.. 4. , M.. 5. ,P.. 6. Horodeccy. 1. Department . of Computer Science, University College London. How can we draw the line?. Taner Edis. Department . of Physics,. . Truman . State . University. Supernatural fiction. Stories of ghosts, gods, spirits, magic, the occult.. Personality and agency (“spirit”) somehow fundamental to how the world works.. A . marvellous. . idea comes to you in a dream of how to design your course to be cost-effective as well as engaging and relevant to students. When you wake up you unfortunately have no recollection of the idea.. the . Classical World. Kai-Min Chung . Academia . Sinica. , Taiwan. 1. Based on joint works with . Xin. Li, . Yaoyun. Shi, and . Xiaodi. Wu. Original Motivation from . 9. 0’s. Randomness is . extremely useful . Upper and Lower Bounds. Matthew . Coudron. , Thomas . Vidick. , Henry Yuen. arXiv:1305.6626. The motivating question. Is it possible to test randomness?. The motivating question. Is it possible to test randomness?. Matt . Coudron. and Henry Yuen. 6.845. 12/12/12. God does not play dice. . . --. Albert Einstein. Einstein, stop telling God what to do. . . --. Niels. Bohr. The Motivating Question. Is it possible to test randomness?. Washington DC Cherry Blossom Blooms and Bluster. Dave Reich. May, 2017 . Agenda. Christianity and the Nature of Science. Last Week and Today . – . What is science, why does it exist, how did it arise and how has it changed? . With gratitude to the John Templeton Foundation who supported this project but is not responsible for its content. . “… if purpose is part of this universe, then randomness, by definition, is not possible. This is also one of the rationales for religious opposition to evolution, where, according to theory, (non-random) selection is applied to the results of random genetic variation.” . Feb 18. th. , 2014. IQI Seminar, Caltech. Kai-Min Chung. . IIS, . Sinica,Taiwan. Yaoyun. Shi. . University of Michigan. Xiaodi Wu. . MIT/UC Berkeley. device. …….. Ext(. x,s. i. ). Ext(x,0). Decouple. 'I li :: 52 P. SUPPES pp. 229-2301. 522 P. SUPPES PROOF: Suppose not. Without loss of generality let BIA � Axiom 5 we have AIX - AnBlB and AnBlA � BIX, whence A nB/X An B/X, which is Lovett (IAS). Coding, Complexity and . Sparsity. workshop. August 2011. Overview. Pseudo-randomness – what? why?. Concrete examples. Local independence. Expander graphs. Small space computations. 4. Interpret probability as a long-run relative frequency. . Dispel . common myths about randomness.. Use . simulation to model chance behavior.. Randomness, Probability, and Simulation. Randomness, Probability, and Simulation.