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PCP and Inapproximability PowerPoint PPT Presentation
PCP and Inapproximability - How big is it? No more than twice the minimum! This is a solution: all edges are covered ... Why is this amazing? One tiny bug or hole or gap can cause much agony...
How big is it? No more than twice the minimum! This is a solution: all edges are covered ... Why is this amazing? One tiny bug or hole or gap can cause much agony...
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Probabilistically Checkable Proofs (and inapproximability) PowerPoint PPT Presentation
Probabilistically Checkable Proofs (and inapproximability) - One proof for 3-colorability is a 3-coloring: We can verify it edge by edge. Murphy's law! ... coloring. 3-SAT. summary. Probabilistically Checkable Proofs ...
One proof for 3-colorability is a 3-coloring: We can verify it edge by edge. Murphy's law! ... coloring. 3-SAT. summary. Probabilistically Checkable Proofs ...
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Inapproximability of NP-complete Problems, Discrete Fourier Analysis, Geometry PowerPoint PPT Presentation
Inapproximability of NP-complete Problems, Discrete Fourier Analysis, Geometry - Title: Slide 1 Author: A P Last modified by: subhash Created Date: 9/25/2006 2:07:19 AM Document presentation format: On-screen Show Company: Personal
Title: Slide 1 Author: A P Last modified by: subhash Created Date: 9/25/2006 2:07:19 AM Document presentation format: On-screen Show Company: Personal
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Polylogarithmic Inapproximability of Radio Broadcast PowerPoint PPT Presentation
Polylogarithmic Inapproximability of Radio Broadcast - Radio Broadcast. Undirected graph, v V wants to broadcast ... The radio broadcast problem. Given: a graph G,v. Find: a minimum number of rounds schedule. ...
Radio Broadcast. Undirected graph, v V wants to broadcast ... The radio broadcast problem. Given: a graph G,v. Find: a minimum number of rounds schedule. ...
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Braesss Paradox, Fibonacci Numbers, and Exponential Inapproximability PowerPoint PPT Presentation
Braesss Paradox, Fibonacci Numbers, and Exponential Inapproximability - Braess's Paradox, Fibonacci Numbers, and Exponential Inapproximability. Henry Lin ... New lower and upper bounds on Braess's Paradox in multicommodity networks ...
Braess's Paradox, Fibonacci Numbers, and Exponential Inapproximability. Henry Lin ... New lower and upper bounds on Braess's Paradox in multicommodity networks ...
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Linear-Degree Extractors and the Inapproximability of Max Clique and Chromatic Number PowerPoint PPT Presentation
Linear-Degree Extractors and the Inapproximability of Max Clique and Chromatic Number - Expander graphs and superconcentrators [Wigderson-Z] Coding ... G=2c-regular expander on {0,1}m. Weak source input: walk (v1,v2,...,vD) in G. m (D-1)c bits ...
Expander graphs and superconcentrators [Wigderson-Z] Coding ... G=2c-regular expander on {0,1}m. Weak source input: walk (v1,v2,...,vD) in G. m (D-1)c bits ...
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On the traveling salesman problem with neighborhoods PowerPoint PPT Presentation
On the traveling salesman problem with neighborhoods - TSP with neighborhoods. Known: 2-e inapproximability (Safra, Schwarz 2003) ... TSP with neighborhoods (unit disks). Intersecting fat regions (discrete) ...
TSP with neighborhoods. Known: 2-e inapproximability (Safra, Schwarz 2003) ... TSP with neighborhoods (unit disks). Intersecting fat regions (discrete) ...
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Complexity and Approximation of the Minimum Recombinant Haplotype Configuration Problem PowerPoint PPT Presentation
Complexity and Approximation of the Minimum Recombinant Haplotype Configuration Problem - Complexity and Approximation of the Minimum Recombinant Haplotype Configuration Problem Authors: Lan Liu, Xi Chen, Jing Xiao & Tao Jiang
Complexity and Approximation of the Minimum Recombinant Haplotype Configuration Problem Authors: Lan Liu, Xi Chen, Jing Xiao & Tao Jiang
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Talks%20on%20parts%20of%204%20papers. PowerPoint PPT Presentation
Talks%20on%20parts%20of%204%20papers. - W[1]-Hard problem. n ratio approximation. This problem is clearly finding a Directed Steiner tree and a reverse directed Steiner tree. The Directed Steiner Tree ...
W[1]-Hard problem. n ratio approximation. This problem is clearly finding a Directed Steiner tree and a reverse directed Steiner tree. The Directed Steiner Tree ...
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Semidefinite Programming Based Approximation Algorithms PowerPoint PPT Presentation
Semidefinite Programming Based Approximation Algorithms - MAX CUT (Goemans, Williamson '95) MAX 2-SAT and MAX DI-CUT (FG'95, MM'01, LLZ'02) ... An SDP Relaxation of MAX CUT. Geometric intuition ...
MAX CUT (Goemans, Williamson '95) MAX 2-SAT and MAX DI-CUT (FG'95, MM'01, LLZ'02) ... An SDP Relaxation of MAX CUT. Geometric intuition ...
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Semidefinite Programming PowerPoint PPT Presentation
Semidefinite Programming - Lecture 8: Semidefinite Programming Magnus M. Halldorsson Based on s by Uri Zwick Outline of talk Semidefinite programming MAX CUT (Goemans, Williamson 95 ...
Lecture 8: Semidefinite Programming Magnus M. Halldorsson Based on s by Uri Zwick Outline of talk Semidefinite programming MAX CUT (Goemans, Williamson 95 ...
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What can we expect from Game Theory in Scheduling? PowerPoint PPT Presentation
What can we expect from Game Theory in Scheduling? - Krzysztof Rzadca (Polish-Japanese computing school, Warsaw) Fanny Pascual (LIP6, Paris) ... The evolution of high-performance execution platforms leads to physical or ...
Krzysztof Rzadca (Polish-Japanese computing school, Warsaw) Fanny Pascual (LIP6, Paris) ... The evolution of high-performance execution platforms leads to physical or ...
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Bin Packing With Fragile Objects PowerPoint PPT Presentation
Bin Packing With Fragile Objects - Optimum. Idea : 9 'banded' solution, not too worse, find it. N N-1 ... 6 5 4 ... Online version. Dynamic case. Other extensions similar to classical bin packing ...
Optimum. Idea : 9 'banded' solution, not too worse, find it. N N-1 ... 6 5 4 ... Online version. Dynamic case. Other extensions similar to classical bin packing ...
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Progress in inferring business relationships between ASs PowerPoint PPT Presentation
Progress in inferring business relationships between ASs - Progress in inferring business relationships between ASs Dmitri Krioukov dima@caida.org 4th CAIDA-WIDE Workshop
Progress in inferring business relationships between ASs Dmitri Krioukov dima@caida.org 4th CAIDA-WIDE Workshop
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Introduction%20to%20PCP%20and%20Hardness%20of%20Approximation PowerPoint PPT Presentation
Introduction%20to%20PCP%20and%20Hardness%20of%20Approximation - Given a 3CNF , what fraction of the clauses can be satisfied simultaneously? 3 ... Distinguisher(x): * If C(x) A, return YES' * Otherwise return NO' A. B. 14 ...
Given a 3CNF , what fraction of the clauses can be satisfied simultaneously? 3 ... Distinguisher(x): * If C(x) A, return YES' * Otherwise return NO' A. B. 14 ...
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On Approximating Four CoveringPacking Problems PowerPoint PPT Presentation
On Approximating Four CoveringPacking Problems - 2 Brown-headed cowbird (Molothrus ater) eggs in a Blue-winged Warbler's nest. Mary Ashley studies the mating system of the Lemon sharks, Negaprion brevirostris ...
2 Brown-headed cowbird (Molothrus ater) eggs in a Blue-winged Warbler's nest. Mary Ashley studies the mating system of the Lemon sharks, Negaprion brevirostris ...
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On the Complexity of PowerPoint PPT Presentation
On the Complexity of - x7 x4 x2 = 1 mod 3. A( 2)=(1,0,0) 1st trial: Gap-L-q p Gap-k-SP ... x7 x4 x2 = a2 mod q. x8 x2 x9 = an mod q. Which contradicting edges to connect ? ...
x7 x4 x2 = 1 mod 3. A( 2)=(1,0,0) 1st trial: Gap-L-q p Gap-k-SP ... x7 x4 x2 = a2 mod q. x8 x2 x9 = an mod q. Which contradicting edges to connect ? ...
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Computational Applications of Noise Sensitivity PowerPoint PPT Presentation
Computational Applications of Noise Sensitivity - Title: Computational Applications of Noise Sensitivity Author: Ryan Last modified by: Ryan Created Date: 4/1/2003 10:12:00 PM Document presentation format
Title: Computational Applications of Noise Sensitivity Author: Ryan Last modified by: Ryan Created Date: 4/1/2003 10:12:00 PM Document presentation format
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The Computer Science Picture of Reality PowerPoint PPT Presentation
The Computer Science Picture of Reality - Quantum Algorithms & Complexity Umesh Vazirani U.C. Berkeley
Quantum Algorithms & Complexity Umesh Vazirani U.C. Berkeley
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Approximation Algorithms PowerPoint PPT Presentation
Approximation Algorithms - Problem: to find a Hamiltonian cycle of minimal cost. ... Problem: to find a Hamiltonian cycle of minimal cost. Polynomial Algorithm for TSP?
Problem: to find a Hamiltonian cycle of minimal cost. ... Problem: to find a Hamiltonian cycle of minimal cost. Polynomial Algorithm for TSP?
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Packing Rectangles into Bins PowerPoint PPT Presentation
Packing Rectangles into Bins - Title: Server Scheduling in the Lp norm Author: IBM_User Last modified by: BCF Helpdesk Created Date: 7/22/2003 7:34:13 PM Document presentation format
Title: Server Scheduling in the Lp norm Author: IBM_User Last modified by: BCF Helpdesk Created Date: 7/22/2003 7:34:13 PM Document presentation format
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CPS 173 Auctions PowerPoint PPT Presentation
CPS 173 Auctions - CPS 173 Auctions & Combinatorial Auctions Vincent Conitzer conitzer@cs.duke.edu A few different 1-item auction mechanisms English auction: Each bid must be higher ...
CPS 173 Auctions & Combinatorial Auctions Vincent Conitzer conitzer@cs.duke.edu A few different 1-item auction mechanisms English auction: Each bid must be higher ...
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Zwick PowerPoint PPT Presentation
Zwick - (aka, Conditional hardness for satisfiable 3-CSPs) Ryan O Donnell & Yi Wu Carnegie Mellon University
(aka, Conditional hardness for satisfiable 3-CSPs) Ryan O Donnell & Yi Wu Carnegie Mellon University
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Approximation Algorithms: Combinatorial Approaches PowerPoint PPT Presentation
Approximation Algorithms: Combinatorial Approaches - Strategy: Construct the TSP tour from a minimum spanning tree. ... This contradicts that c(vw) represents the cost of a shortest path from v to w ...
Strategy: Construct the TSP tour from a minimum spanning tree. ... This contradicts that c(vw) represents the cost of a shortest path from v to w ...
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The TSP : NP-Completeness Approximation and Hardness of Approximation PowerPoint PPT Presentation
The TSP : NP-Completeness Approximation and Hardness of Approximation - TSP = Traveling Salesman Problem. Based upon s of Dana Moshkovitz, ... YES: vertices and faces of a dodecahedron. 3. Hamiltonian Cycle ...
TSP = Traveling Salesman Problem. Based upon s of Dana Moshkovitz, ... YES: vertices and faces of a dodecahedron. 3. Hamiltonian Cycle ...
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Network monitoring: detecting node failures PowerPoint PPT Presentation
Network monitoring: detecting node failures - Title: Languages and Finite Automata Author: Costas Busch Last modified by: Guido Created Date: 8/31/2000 1:12:33 AM Document presentation format
Title: Languages and Finite Automata Author: Costas Busch Last modified by: Guido Created Date: 8/31/2000 1:12:33 AM Document presentation format
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How%20NP%20got%20a%20new%20definition: PowerPoint PPT Presentation
How%20NP%20got%20a%20new%20definition: - Original proof of PCP Thm used polynomial representations, ... Applications of PCP Techniques: Tour d'Horizon. Locally checkable / decodable codes. ...
Original proof of PCP Thm used polynomial representations, ... Applications of PCP Techniques: Tour d'Horizon. Locally checkable / decodable codes. ...
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Simple PCPs PowerPoint PPT Presentation
Simple PCPs - By. Ayror Sappen # Pages to follow: 15783. Proofs and Theorems ... 3-Coloring. Color vertices s.t. endpoints of edge have. different colors. is NP-complete: ...
By. Ayror Sappen # Pages to follow: 15783. Proofs and Theorems ... 3-Coloring. Color vertices s.t. endpoints of edge have. different colors. is NP-complete: ...
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Minimum PCR Primer Set Selection with Amplification Length and Uniqueness Constraints PowerPoint PPT Presentation
Minimum PCR Primer Set Selection with Amplification Length and Uniqueness Constraints - Minimum PCR Primer Set Selection with Amplification Length and Uniqueness Constraints Ion Mandoiu University of Connecticut CS&E Department Combinatorial Optimization ...
Minimum PCR Primer Set Selection with Amplification Length and Uniqueness Constraints Ion Mandoiu University of Connecticut CS&E Department Combinatorial Optimization ...
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On the Hardness of Being Truthful PowerPoint PPT Presentation
On the Hardness of Being Truthful - Joint work with Christos ... Conjecture: SATL is NP-hard for every exponentially dense L. Intuition ... Let L be some exponentially dense language. ...
Joint work with Christos ... Conjecture: SATL is NP-hard for every exponentially dense L. Intuition ... Let L be some exponentially dense language. ...
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Multiusers, multiorganizations, multiobjectives : a single approach PowerPoint PPT Presentation
Multiusers, multiorganizations, multiobjectives : a single approach - Multi-users, multi-organizations, multi-objectives : a single approach ... Krzysztof Rzadca (Polish-Japanese computing school, Warsaw) Fanny Pascual (LIP6, Paris) ...
Multi-users, multi-organizations, multi-objectives : a single approach ... Krzysztof Rzadca (Polish-Japanese computing school, Warsaw) Fanny Pascual (LIP6, Paris) ...
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Randomization Techniques and Parallel Cryptography PowerPoint PPT Presentation
Randomization Techniques and Parallel Cryptography - g can be 'simpler' than f (meaning of 'simpler' determined by application) ... Correctness: f(x) can be efficiently decoded from g(x,r) ...
g can be 'simpler' than f (meaning of 'simpler' determined by application) ... Correctness: f(x) can be efficiently decoded from g(x,r) ...
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Algorithms for Wireless Network Design PowerPoint PPT Presentation
Algorithms for Wireless Network Design - Real-world applications with deep algorithmic underpinnings and consequences ... Find a bipartite sub-graph G'(A' UB', E') where |A'|=a, |B'|=b and E' is an empty set. ...
Real-world applications with deep algorithmic underpinnings and consequences ... Find a bipartite sub-graph G'(A' UB', E') where |A'|=a, |B'|=b and E' is an empty set. ...
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Genotype Error Detection using Hidden Markov Models of Haplotype Diversity PowerPoint PPT Presentation
Genotype Error Detection using Hidden Markov Models of Haplotype Diversity - Genotype Error Detection using Hidden Markov Models of Haplotype Diversity Justin Kennedy, Ion Mandoiu, Bogdan Pasaniuc CSE Department, University of Connecticut
Genotype Error Detection using Hidden Markov Models of Haplotype Diversity Justin Kennedy, Ion Mandoiu, Bogdan Pasaniuc CSE Department, University of Connecticut
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Approximation Algorithms: Combinatorial Approaches PowerPoint PPT Presentation
Approximation Algorithms: Combinatorial Approaches - ... from any city to any other city, what is the ... A tour contains a matching. ... but to guide us to identify interesting cases. Minimum Steiner Tree ...
... from any city to any other city, what is the ... A tour contains a matching. ... but to guide us to identify interesting cases. Minimum Steiner Tree ...
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Multilinear Formulas and Skepticism of Quantum Computing PowerPoint PPT Presentation
Multilinear Formulas and Skepticism of Quantum Computing - Result: QECC states require n (log n) additions and tensor products ... E.g. Fitch & Cronin won 1980 Physics Nobel 'merely' for showing CP symmetry is violated ...
Result: QECC states require n (log n) additions and tensor products ... E.g. Fitch & Cronin won 1980 Physics Nobel 'merely' for showing CP symmetry is violated ...
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Optimization Methods for Reliable Genomic-Based Pathogen Detection Systems PowerPoint PPT Presentation
Optimization Methods for Reliable Genomic-Based Pathogen Detection Systems - Optimization Methods for Reliable Genomic-Based Pathogen Detection Systems ... W.R. Pearson, G. Robins, D.E. Wrege, and T. Zhang. ...
Optimization Methods for Reliable Genomic-Based Pathogen Detection Systems ... W.R. Pearson, G. Robins, D.E. Wrege, and T. Zhang. ...
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Nonbreaking Similarity of Genomes with Gene Repetitions PowerPoint PPT Presentation
Nonbreaking Similarity of Genomes with Gene Repetitions - Computing genomic distance between genomes is important in evolutionary ... G'=-bd-cab-d-c. We will focus on unsigned sequences in this work. ...
Computing genomic distance between genomes is important in evolutionary ... G'=-bd-cab-d-c. We will focus on unsigned sequences in this work. ...
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Approximate clustering without the approximation PowerPoint PPT Presentation
Approximate clustering without the approximation - Cluster news articles or web pages by topic. Cluster protein sequences by function ... [fashion] C1, C2, ..., Ck. ... [fashion] ...
Cluster news articles or web pages by topic. Cluster protein sequences by function ... [fashion] C1, C2, ..., Ck. ... [fashion] ...
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Optimization Methods for Reliable Genomic-Based Pathogen Detection Systems PowerPoint PPT Presentation
Optimization Methods for Reliable Genomic-Based Pathogen Detection Systems - Optimization Methods for Reliable Genomic-Based Pathogen Detection Systems K.M. Konwar, I.I. Mandoiu, A.C. Russell, and A.A. Shvartsman Computer Science & Engineering ...
Optimization Methods for Reliable Genomic-Based Pathogen Detection Systems K.M. Konwar, I.I. Mandoiu, A.C. Russell, and A.A. Shvartsman Computer Science & Engineering ...
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HARDNESS OF APPROXIMATIONS PowerPoint PPT Presentation
HARDNESS OF APPROXIMATIONS - The purpose of the Expander graph is to ensure that in any optimal truth ... Let Gx be a 14 degree expander on k-vertices. ... constructs an expander graph H ...
The purpose of the Expander graph is to ensure that in any optimal truth ... Let Gx be a 14 degree expander on k-vertices. ... constructs an expander graph H ...
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Preference%20Elicitation%20in%20Combinatorial%20Auctions PowerPoint PPT Presentation
Preference%20Elicitation%20in%20Combinatorial%20Auctions - Preference Elicitation in Combinatorial Auctions Tuomas Sandholm Carnegie Mellon University Computer Science Department (papers on this topic available via www.cs.cmu ...
Preference Elicitation in Combinatorial Auctions Tuomas Sandholm Carnegie Mellon University Computer Science Department (papers on this topic available via www.cs.cmu ...
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CPS 590.4 Normal-form games PowerPoint PPT Presentation
CPS 590.4 Normal-form games - Title: Game theory Author: Vincent Conitzer Last modified by: Vincent Conitzer Created Date: 8/15/2006 6:17:12 PM Document presentation format: On-screen Show (4:3)
Title: Game theory Author: Vincent Conitzer Last modified by: Vincent Conitzer Created Date: 8/15/2006 6:17:12 PM Document presentation format: On-screen Show (4:3)
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Conditional scheduling with varying deadlines PowerPoint PPT Presentation
Conditional scheduling with varying deadlines - Conditional scheduling with varying deadlines Ben Horowitz bhorowit@cs.berkeley.edu Which output: A or B? A, B each require 3 milliseconds to compute.
Conditional scheduling with varying deadlines Ben Horowitz bhorowit@cs.berkeley.edu Which output: A or B? A, B each require 3 milliseconds to compute.
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CPS 296.1 Normal-form games PowerPoint PPT Presentation
CPS 296.1 Normal-form games - CPS 296.1 Normal-form games Vincent Conitzer conitzer@cs.duke.edu
CPS 296.1 Normal-form games Vincent Conitzer conitzer@cs.duke.edu
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Shuffling Non-Constituents PowerPoint PPT Presentation
Shuffling Non-Constituents - 'kiss') un ('a') ('to') kids. Sam. kiss. quite. often ' ... 'beaucoup d'enfants donnent un baiser Sam' 'kids kiss Sam quite often' ...
'kiss') un ('a') ('to') kids. Sam. kiss. quite. often ' ... 'beaucoup d'enfants donnent un baiser Sam' 'kids kiss Sam quite often' ...
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Vertex Labelings and Colorings of Graphs PowerPoint PPT Presentation
Vertex Labelings and Colorings of Graphs - Vertex Labelings and Colorings of Graphs Valia Mitsou Graduate Center & City College City University of New York OPEN PROBLEMS - FURTHER WORK Open Problems The ...
Vertex Labelings and Colorings of Graphs Valia Mitsou Graduate Center & City College City University of New York OPEN PROBLEMS - FURTHER WORK Open Problems The ...
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Large Scale Network Growth Techniques PowerPoint PPT Presentation
Large Scale Network Growth Techniques - It is useful to study binary graph operations that can be used in this concept ... of the order of n and this procedure can be realized within at most linear time. ...
It is useful to study binary graph operations that can be used in this concept ... of the order of n and this procedure can be realized within at most linear time. ...
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Generalizing Preference Elicitation In Combinatorial Auctions PowerPoint PPT Presentation
Generalizing Preference Elicitation In Combinatorial Auctions - ... 'agent i, please spend t time units tightening the (upper or lower) bound on b' ... Note that the bound-approx algorithm can get charged for up to cost 2 ...
... 'agent i, please spend t time units tightening the (upper or lower) bound on b' ... Note that the bound-approx algorithm can get charged for up to cost 2 ...
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Preference elicitation in combinatorial auctions PowerPoint PPT Presentation
Preference elicitation in combinatorial auctions - roughly speaking, the largest bundle ... Can prove that we always need an upper bound on value of grand bundle. ... ask everyone for a UB on the grand bundle. ...
roughly speaking, the largest bundle ... Can prove that we always need an upper bound on value of grand bundle. ... ask everyone for a UB on the grand bundle. ...
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Time Complexity PowerPoint PPT Presentation
Time Complexity - If f(n) is the running time of M, we say M runs in time f(n) and that M is an f ... clause node appears on the path, by observing the diamond at which the detour ...
If f(n) is the running time of M, we say M runs in time f(n) and that M is an f ... clause node appears on the path, by observing the diamond at which the detour ...
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Time Complexity PowerPoint PPT Presentation
Time Complexity - Big-O and small-o Notation. Def: Def: Def: p4 . Complexity relationships among models ... BIG Question!! P = NP. p15 . NP-completeness ...
Big-O and small-o Notation. Def: Def: Def: p4 . Complexity relationships among models ... BIG Question!! P = NP. p15 . NP-completeness ...
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Effectiveness of preference elicitation in combinatorial auctions PowerPoint PPT Presentation
Effectiveness of preference elicitation in combinatorial auctions - Effectiveness of preference elicitation in combinatorial auctions. Beno t ... have q red balls, and the remaining balls are blue; how many balls do we draw ...
Effectiveness of preference elicitation in combinatorial auctions. Beno t ... have q red balls, and the remaining balls are blue; how many balls do we draw ...
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Simpler PowerPoint PPT Presentation
Simpler - May 28, 2003 HLT-NAACL. First half of talk is setup ... This smaller machine is faster to intersect/compose. More likely to fit on a hand-held device ...
May 28, 2003 HLT-NAACL. First half of talk is setup ... This smaller machine is faster to intersect/compose. More likely to fit on a hand-held device ...
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Activities in Combinatorial Pattern Matching PowerPoint PPT Presentation
Activities in Combinatorial Pattern Matching - Music retrieval and analysis. members: K ... for music comparison, retrieval and analysis; monophonic vs polyphonic music ... open: indexing of polyphonic music ...
Music retrieval and analysis. members: K ... for music comparison, retrieval and analysis; monophonic vs polyphonic music ... open: indexing of polyphonic music ...
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