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Known Upper Bounds

by Evgeny Dantsin, Er Wolpert
"... Abstract. Recently Schuler [17] presented a randomized algorithm that solves SAT in expected time at most 2 n(1−1 / log 2 (2m)) up to a polynomial factor, where n and m are, respectively, the number of variables and the number of clauses in the input formula. This bound is the best known upper bound ..."
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Abstract. Recently Schuler [17] presented a randomized algorithm that solves SAT in expected time at most 2 n(1−1 / log 2 (2m)) up to a polynomial factor, where n and m are, respectively, the number of variables and the number of clauses in the input formula. This bound is the best known upper

PROBABILITY INEQUALITIES FOR SUMS OF BOUNDED RANDOM VARIABLES

by Wassily Hoeffding , 1962
"... Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded or bounded above. The bounds for Pr(S-ES> nt) depend only on the endpoints of the ranges of the s ..."
Abstract - Cited by 2215 (2 self) - Add to MetaCart
Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded or bounded above. The bounds for Pr(S-ES> nt) depend only on the endpoints of the ranges

Consensus in the presence of partial synchrony

by Cynthia Dwork, Nancy Lynch, Larry Stockmeyer - JOURNAL OF THE ACM , 1988
"... The concept of partial synchrony in a distributed system is introduced. Partial synchrony lies between the cases of a synchronous system and an asynchronous system. In a synchronous system, there is a known fixed upper bound A on the time required for a message to be sent from one processor to ano ..."
Abstract - Cited by 513 (18 self) - Add to MetaCart
The concept of partial synchrony in a distributed system is introduced. Partial synchrony lies between the cases of a synchronous system and an asynchronous system. In a synchronous system, there is a known fixed upper bound A on the time required for a message to be sent from one processor

Boosting a Weak Learning Algorithm By Majority

by Yoav Freund , 1995
"... We present an algorithm for improving the accuracy of algorithms for learning binary concepts. The improvement is achieved by combining a large number of hypotheses, each of which is generated by training the given learning algorithm on a different set of examples. Our algorithm is based on ideas pr ..."
Abstract - Cited by 516 (16 self) - Add to MetaCart
upper bounds known today. We show that the number of hypotheses that are combined by our algorithm is the smallest number possible. Other outcomes of our analysis are results regarding the representational power of threshold circuits, the relation between learnability and compression, and a method

A Scheme for Real-Time Channel Establishment in Wide-Area Networks

by Domenico Ferrari, Dinesh C. Verma - IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS , 1990
"... Multimedia communication involving digital audio and/or digital video has rather strict delay requirements. A real-time channel is defined in this paper as a simplex connection between a source and a destination characterized by parameters representing the performance requirements of the client. A r ..."
Abstract - Cited by 702 (31 self) - Add to MetaCart
real-time service is capable of creating realtime channels on demand and guaranteeing their performance. These guarantees often take the form of lower bounds on the bandwidth allocated to a channel and upper bounds on the delays to be experienced by a packet on the channel. In this paper

Divergence measures based on the Shannon entropy

by Jianhua Lin - IEEE Transactions on Information theory , 1991
"... Abstract-A new class of information-theoretic divergence measures based on the Shannon entropy is introduced. Unlike the well-known Kullback divergences, the new measures do not require the condition of absolute continuity to be satisfied by the probability distributions in-volved. More importantly, ..."
Abstract - Cited by 666 (0 self) - Add to MetaCart
Abstract-A new class of information-theoretic divergence measures based on the Shannon entropy is introduced. Unlike the well-known Kullback divergences, the new measures do not require the condition of absolute continuity to be satisfied by the probability distributions in-volved. More importantly

Using information content to evaluate semantic similarity in a taxonomy

by Philip Resnik - In Proceedings of the 14th International Joint Conference on Artificial Intelligence (IJCAI-95 , 1995
"... philip.resnikfleast.sun.com This paper presents a new measure of semantic similarity in an IS-A taxonomy, based on the notion of information content. Experimental evaluation suggests that the measure performs encouragingly well (a correlation of r = 0.79 with a benchmark set of human similarity judg ..."
Abstract - Cited by 1097 (8 self) - Add to MetaCart
judgments, with an upper bound of r = 0.90 for human subjects performing the same task), and significantly better than the traditional edge counting approach (r = 0.66). 1

Worst-case equilibria

by Elias Koutsoupias, Christos Papadimitriou - IN PROCEEDINGS OF THE 16TH ANNUAL SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE , 1999
"... In a system in which noncooperative agents share a common resource, we propose the ratio between the worst possible Nash equilibrium and the social optimum as a measure of the effectiveness of the system. Deriving upper and lower bounds for this ratio in a model in which several agents share a ver ..."
Abstract - Cited by 847 (17 self) - Add to MetaCart
In a system in which noncooperative agents share a common resource, we propose the ratio between the worst possible Nash equilibrium and the social optimum as a measure of the effectiveness of the system. Deriving upper and lower bounds for this ratio in a model in which several agents share a

Theoretical improvements in algorithmic efficiency for network flow problems

by Jack Edmonds, Richard M. Karp - , 1972
"... This paper presents new algorithms for the maximum flow problem, the Hitchcock transportation problem, and the general minimum-cost flow problem. Upper bounds on ... the numbers of steps in these algorithms are derived, and are shown to compale favorably with upper bounds on the numbers of steps req ..."
Abstract - Cited by 560 (0 self) - Add to MetaCart
This paper presents new algorithms for the maximum flow problem, the Hitchcock transportation problem, and the general minimum-cost flow problem. Upper bounds on ... the numbers of steps in these algorithms are derived, and are shown to compale favorably with upper bounds on the numbers of steps

An Efficient Context-Free Parsing Algorithm

by Jay Earley , 1970
"... A parsing algorithm which seems to be the most efficient general context-free algorithm known is described. It is similar to both Knuth's LR(k) algorithm and the familiar top-down algorithm. It has a time bound proportional to n 3 (where n is the length of the string being parsed) in general; i ..."
Abstract - Cited by 798 (0 self) - Add to MetaCart
A parsing algorithm which seems to be the most efficient general context-free algorithm known is described. It is similar to both Knuth's LR(k) algorithm and the familiar top-down algorithm. It has a time bound proportional to n 3 (where n is the length of the string being parsed) in general
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