PPT-Robust Randomness Expansion

Upper and Lower Bounds Matthew Coudron Thomas Vidick Henry Yuen arXiv13056626 The motivating question Is it possible to test randomness The motivating question Is it possible to test randomness. 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 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.. Dr. X. Topics. What Does Randomness Mean?. Randomness in . games. Generating Random Values. Random events in real life: measuring . randomness. What is Randomness?. Unpredictability?. Does it characterize a single event or a sequence of events?. 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 . Follow-Up:. Further into Python. Part 3: . Random. Numbers. Part 3: . “Random”. Numbers. Part 3: . Pseudo. -Random. Numbers. Why Random Numbers?. Traditional use: cryptography. http://www.diablotin.com/librairie/networking/puis/figs/puis_0604.gif. .. Enjoy with hearty pasta dishes and roast meats.. Rich and robust, deep red in color with flavors of black currant on the palate.. Enjoy with hearty pasta dishes and roast meats.. Rich and robust, deep red in color with flavors of black currant on the palate.. minimal. assumptions. needed for. infinite. randomness . expansion?. Henry Yuen . (MIT). Stellenbosch, South Africa. 27 October 2015. 0. 1. 1. 0. 1. 1. 0. 1. 0. 1. 0. 0. 1. 1. 1. 0. 1. 0. 1. 1. 1. 0. and Patterns of Illusion. GROUP 1. Celestine. Walter. Jun Yue (Presenter). OUTLINE. Illusions – human perception. Causes. Effects. Randomness in the financial market. Hot-hand fallacy. Bill Miller. On Free Rider Effect and Its Elimination. 1. Case Western Reserve University. Yubao Wu. 1. , . Ruoming. Jin. 2. , Jing Li. 1. , Xiang Zhang. 1. 2. Kent State University. Generic Local Community Detection Problem. 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. Nava . Schulmann. 13/04/2015. Past. I have a Ph.D. in Physics focused on elastic properties of polymers.. Present. I am a post-doctoral . fellow at . the . Science-Teaching department of the Weizmann Institute of Science, Israel. '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 Jinxia. Ma. November 7, 2013. Contents. What are robust methods. Why robust methods. How to conduct the robust methods analysis. Apply robust analysis to your data. What are “robust methods”?. Robust statistics. Lovett (IAS). Coding, Complexity and . Sparsity. workshop. August 2011. Overview. Pseudo-randomness – what? why?. Concrete examples. Local independence. Expander graphs. Small space computations.