Comparing Notions of Full Derandomization Lance Fortnow NEC Research Institute With thanks to Dieter van Melkebeek Derandomization Impagliazzo-Wigderson 97 If E ...
Pseudorandom Generators and Typically-Correct Derandomization Jeff Kinne, Dieter van Melkebeek University of Wisconsin-Madison Ronen Shaltiel University of Haifa
New Construct: called Design; consisting of nearly disjoint subsets of the ... Now, we can construct from Ck a circuit C'k which can approximate the next bit ...
Complexity and Probability - Gothenburg, April 15-19, 2002. 1 ... Theorem due to Andreev, Clementi, Rolim 1995 (proving slightly different theorem) ...
PrXUn[B(X)=f(X)] 1-?. Useful tool in bounding randomized algs. ... C is a class of distributions over n bit strings 'containing' k bits of (min)-entropy. ...
Clause Learning: ... 3. Clause learning: explore back jump ... If we used a fair coin, only 3/8 of the clauses are guaranteed to be satisfied. Derandomization: ...
Complexity theory studies the inherent limitations. of computing ... It's easy because it's hard: Crypto and Derandomization. CS5403.info. TODAY: SOME BASICS ...
TRUST:Team for Research in Applied Cryptography Dan Boneh, Stanford University ... Defense against Web spoofing and online ID theft Security for my mom
Endre Szemer di & TCS Avi Wigderson IAS, Princeton * . Happy Birthday Endre ! Selection of omitted results [Babai-Hajnal-Szemer di-Turan] Lower bounds on ...
In a World of BPP=P Oded Goldreich Weizmann Institute of Science Talk s Outline Pseudorandom generators: a general paradigm Pseudorandom generators: canonical ...
Worst-case optimal approximation algorithms for maximizing triplet consistency within phylogenetic networks Jaroslaw Byrka1,2, Steven Kelk2, Katharina T. H ber3
A Tight Bound on Approximating Arbitrary Metrics by ... Any n-point metric space can be probabilistically embedded into a ... Assumptions and Defintions cont. ...
UMass Lowell Computer Science 91.504 Advanced Algorithms Computational Geometry Prof. Karen Daniels Spring, 2001 Lecture 1 Course Introduction Start of Part I Material
Given a BBD-tree for a set of data points in Rd, the number of leaf cells of size at least s0 intersecting a ... triangular data structure; PSLG; splay tree; ...
Science. Applied Computer Science. Applied. Math. Geometry. Computational. Geometry. Efficient ... Add points, one at a time. update hull for each new point ...
Original proof of PCP Thm used polynomial representations, ... Applications of PCP Techniques: Tour d'Horizon. Locally checkable / decodable codes. ...
Goal: try to simulate BPP is subexponential time (or better) ... Recall goal: for all 1 d 0, family of PRGs {Gm} with. output length m fooling size s = m ...
However, the probability of error can be diminished by repeated executions of the algorithm. The MinCut algorithm is an example of a Monte Carlo algorithm.
Commitment Schemes Hiding: A ... v21i, , hvm0, vm1 i To broadcast a single bit b to a subset T [m] Choose corresponding ... (Quantum computers?) New ...
Stream computation by combining the use of stable distributions ... Cauchy's Lottery... 29. Assume Y 1-K/L = 1- . The derivative of F-1 near Y 1- is O(1 ...
Given matrix containing variables, substitute values for the ... Buss et al. 99. Lovasz 79. H., Karger, Murota 05. P. Geelen 99. Complexity Regions # Occurences ...
leaves is the expected running time for the deterministic algorithm described by ... Comment: As a matter of fact, 0 and 1 can be any two distinct numbers. ...
Produces minimum weight tree of edges that includes every vertex. ... (since full walk traverses each edge of T twice) ... Instance of language SAT is a boolean ...
... with this definition. No invariance! ... This is identical to the original definition. ... but the bound t depends on the choice of U in the definition of C(x) ...
... then it is a pseudo-random generator Subset sum problem ... the value of xi ri the number of locations where x and r are 1 ... (for any code with good ...
if 'enough' bi = f(ri), then output b. b. Repeat O(1/ 2) times, and take Majority ... DP Testing History. Given an oracle C : Uk Rk, is C gk ? #queries acc. prob. ...
measured by Gowers norm Nd-1(p) Case Nd-1(p) small ) directly fool p ... Proof: case analysis based on Gowers norm Recurrent theme in combinatorics ...
... Game is played by two players, Anna and Bob, that take turns creating and ... Anna's Objective: inf max problem. tG = inf max sat(H,M) all (0,1) ...
... in the same class are more similar as those in different classes ... First sight of these on real(ly big) web data. Yes, they do make sense! Open problems ...
Plan of the talk. Computational complexity -- efficient algorithms, ... Algorithm [Dyer-Frieze-Kannan 91]: Approx counting random sampling. Random walk inside K. ...