PPT-Linear sketching for Functions over Boolean Hypercube

Grigory Yaroslavtsev Indiana University Bloomington httpgrigoryus with Sampath Kannan U Pennsylvania Elchanan Mossel MIT and Swagato Sanyal NUS Sketching. 20 1027200 1048830 1054860 1081860 1126920 1137390 1180200 1192470 1229340 1282710 O7 826440 864840 882600 896730 922290 947580 976770 1005900 1035120 1126920 1204380 O6 612540 672960 717120 717120 719850 750720 754770 754770 797670 873510 918030 O5 N is the process noise or disturbance at time are IID with 0 is independent of with 0 Linear Quadratic Stochastic Control 52 brPage 3br Control policies statefeedback control 0 N called the control policy at time roughly speaking we choo Alexandr. . Andoni. . (Simons Institute). Robert . Krauthgamer. . (. Weizmann. . Institute). Ilya Razenshteyn . (CSAIL MIT). 1. Sketching. Compress a massive object to a . small. . sketch. Rich theories: . are Equivalent for Norms. Alexandr Andoni . (Simons Inst. / Columbia). Robert . Krauthgamer. . (Weizmann. . Inst.). Ilya . Razenshteyn . (MIT, now at IBM . Almaden. ). 1. Sketching. n. d. When is sketching possible?. Efficient Join . Q. uery . P. rocessing in a Parallel . D. atabase . S. ystem. Shumo Chu, Magdalena. . Balazinska. and Dan . Suciu. Database Group, CSE, University of Washington. In industry and . science, users need to analyze large datasets. M. AL- . Towaileb. 1. Boolean Functions. In Boolean algebra we work with the . set {0,1}. , . where:. 0 ≡ F . (False) & . 1 ≡ T . (True).. The 3 Operations used in Boolean Algebra are:. Complementation ( . Efficient Algorithms for Low-Sensitivity Functions. Rocco Servedio. Joint work with . Parikshit. . Gopalan. (MSR). Noam Nisan (MSR / Hebrew University). Kunal. . Talwar. (Google). Avi. . Wigderson. 1. Boolean Data Lesson #2 Outline. Relational Operations #1. Relational Operations #2. Relational Expressions Example #1. Relational Expressions Example #2. Structure of Boolean Expressions. Boolean Expressions with Parentheses. Chapter 2. Basic Definitions. Boolean Algebra defined with a set of elements, a set of operators and a number of . axioms . or postulates.. A set if a collection of objects having a common property. Elements. © 2012 Project Lead The Way, Inc.. Introduction to Engineering Design. Sketching an Isometric Circle. Circular features and cylindrical forms are common in engineering designs, and appear as . ellipses. Explain the importance of sketching in the engineering design process. Make simple sketches of basic shapes such as lines, circles, and ellipses. Use 3-D coordinate systems, particularly right-handed systems. 1. Boolean Data Outline. Boolean Data Outline. Data Types. C Boolean Data Type: . char. or . int. C Built-In Boolean Data Type:. . bool. bool. . Data Type: Not Used in CS1313. Boolean Declaration. © 2012 Project Lead The Way, Inc.. Introduction to Engineering Design. Sketching an Isometric Circle. Circular features and cylindrical forms are common in engineering designs, and appear as . ellipses. (for Max Cut). Venkatesan. . Guruswami. Fields Institute Summer School. June 2011. (Slides borrowed from Prasad . Raghavendra. ). Dictatorship Test. Given a function . . F : {-1,1}. R. {-1,1}.