An information statistics approach to data stream and communication complexity
@article{BarYossef2002AnIS, title={An information statistics approach to data stream and communication complexity}, author={Ziv Bar-Yossef and T. S. Jayram and Ravi Kumar and D. Sivakumar}, journal={The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings.}, year={2002}, pages={209-218} }
We present a new method for proving strong lower bounds in communication complexity. This method is based on the notion of the conditional information complexity of a function which is the minimum amount of information about the inputs that has to be revealed by a communication protocol for the function. While conditional information complexity is a lower bound on the communication complexity, we show that it also admits a direct sum theorem. Direct sum decomposition reduces our task to that of… CONTINUE READING
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