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STOC
2002
ACM
107views Algorithms» more  STOC 2002»
16 years 3 days ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
SODA
2000
ACM
85views Algorithms» more  SODA 2000»
15 years 1 months ago
Improved bounds on the sample complexity of learning
We present a new general upper bound on the number of examples required to estimate all of the expectations of a set of random variables uniformly well. The quality of the estimat...
Yi Li, Philip M. Long, Aravind Srinivasan
WCET
2007
15 years 1 months ago
Data-Flow Based Detection of Loop Bounds
To calculate the WCET of a program, safe upper bounds on the number of loop iterations for all loops in the program are needed. As the manual annotation of all loops with such bou...
Christoph Cullmann, Florian Martin
JACM
2006
146views more  JACM 2006»
14 years 11 months ago
Limits on the ability of quantum states to convey classical messages
We revisit the problem of conveying classical messages by transmitting quantum states, and derive new, optimal bounds on the number of quantum bits required for this task. Much of...
Ashwin Nayak, Julia Salzman
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
15 years 3 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein