- Meeting 01 : Mon, Feb 01, 08:00 am-08:50 am
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Administrative announcements. Informal introduction. Randomization as a tool. One-sided error vs Two-sided error versions. Examples - Frievalds algorithm.
References | : | Lecture notes.
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- Meeting 02 : Tue, Feb 02, 12:00 pm-12:50 pm
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Freivald's algorithm. Formalization of Randomized Algorithm and Derandomization problem.
- Meeting 03 : Thu, Feb 04, 11:00 am-11:50 am
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Trivial Derandomization by exhaustive enumeration. Model based derandomization. Pseudorandom generators. Fooling computations. Explicit construction problem.
- Meeting 04 : Fri, Feb 05, 10:00 am-10:50 am
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Randomness Extractors. Imperfect random sources. Role of seed. Closeness to uniform distribution. Explicit construction problem. Pseudorandom objects.
- Meeting 05 : Mon, Feb 08, 08:00 am-08:50 am
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Polynomial Identity Testing. Blackbox and Whitebox. Univariate case. Amplification.
- Meeting 06 : Tue, Feb 09, 12:00 pm-12:50 pm
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Multivariate PIT. Schwartz-Zippel Lemma.
- Meeting 07 : Thu, Feb 11, 11:00 am-11:50 am
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Analysis of the randomized algorithm for MaxCut. Quick review of random variables, expectation. Linearity of Expectation.
- Meeting 08 : Fri, Feb 12, 10:00 am-10:50 am
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Method of conditional expectation. Deradnomization of MaxCut.
- Meeting 09 : Mon, Feb 15, 08:00 am-08:50 am
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Back to the abstract set up. Making Algorithms Err less. Amplifying success probabilities. Case for one-sided vs two-sided error randomized algorithms.
- Meeting 10 : Tue, Feb 16, 12:00 pm-12:50 pm
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Sipser's Argument. Expander graphs. Properties Random walks(statements). Application to randomness efficient amplification of success probability (statement).
- Meeting 11 : Thu, Feb 18, 11:00 am-11:50 am
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Amplification of one-sided error algorithms. Dispersers and application to amplification of one-sided error randomized algorithms.
- Meeting 12 : Fri, Feb 19, 10:00 am-10:50 am
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More tools from probability. Probabilistic Method. Hypergraph coloring.
- Meeting 13 : Thu, Mar 18, 11:00 am-11:50 am
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Expectation Method for showing the existence of objects.
- Meeting 14 : Fri, Mar 19, 10:00 am-10:50 am
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To Be Announced
- Meeting 15 : Mon, Mar 22, 08:00 am-08:50 am
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To Be Announced
- Meeting 16 : Tue, Mar 23, 12:00 pm-12:50 pm
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To Be Announced
- Meeting 17 : Thu, Mar 25, 11:00 am-11:50 am
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To Be Announced
- Meeting 18 : Fri, Mar 26, 10:00 am-10:50 am
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To Be Announced
- Meeting 19 : Mon, Mar 29, 08:00 am-08:50 am
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To Be Announced
- Meeting 20 : Tue, Mar 30, 12:00 pm-12:50 pm
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To Be Announced
- Meeting 21 : Thu, Apr 01, 11:00 am-11:50 am
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To Be Announced
- Meeting 22 : Fri, Apr 02, 10:00 am-10:50 am
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To Be Announced
- Meeting 23 : Mon, Apr 05, 08:00 am-08:50 am
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To Be Announced
- Meeting 24 : Tue, Apr 06, 12:00 pm-12:50 pm
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To Be Announced
- Meeting 25 : Thu, Apr 08, 11:00 am-11:50 am
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To Be Announced
- Meeting 26 : Fri, Apr 09, 10:00 am-10:50 am
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To Be Announced
- Meeting 27 : Mon, Apr 12, 08:00 am-08:50 am
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To Be Announced
- Meeting 28 : Tue, Apr 13, 12:00 pm-12:50 pm
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To Be Announced
- Meeting 29 : Thu, Apr 15, 11:00 am-11:50 am
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To Be Announced
- Meeting 30 : Fri, Apr 16, 10:00 am-10:50 am
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To Be Announced
- Meeting 31 : Mon, Apr 19, 08:00 am-08:50 am
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To Be Announced
- Meeting 32 : Tue, Apr 20, 12:00 pm-12:50 pm
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To Be Announced
- Meeting 33 : Thu, Apr 22, 11:00 am-11:50 am
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To Be Announced
- Meeting 34 : Fri, Apr 23, 10:00 am-10:50 am
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To Be Announced
- Meeting 35 : Mon, Apr 26, 08:00 am-08:50 am
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To Be Announced
- Meeting 36 : Tue, Apr 27, 12:00 pm-12:50 pm
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To Be Announced
- Meeting 37 : Thu, Apr 29, 11:00 am-11:50 am
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To Be Announced
- Meeting 38 : Fri, Apr 30, 10:00 am-10:50 am
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To Be Announced
- Meeting 39 : Mon, May 03, 08:00 am-08:50 am
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To Be Announced
- Meeting 40 : Tue, May 04, 12:00 pm-12:50 pm
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To Be Announced
- Meeting 41 : Thu, May 06, 11:00 am-11:50 am
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To Be Announced