6 Questions
Which output model inspired by XOR games is studied in the text?
The XOR model
Which output model has no dependency on output size for error reduction?
XOR model
What is the cost of standard error reduction techniques in the XOR model?
Linear cost in output size
Which technique has a factor reduced to O(k) for randomness removal in XOR model?
Factor reduction techniques
What is the cost of standard randomness removal techniques in the XOR model?
Multiplicative cost of 2k in output size
Which technique is used for weak output models?
Rank lower bound technique
Study Notes
- Communication complexity of functions with large outputs varies depending on output model
- Variety of output models studied, including open model and XOR model inspired by XOR games
- Focus on error-reduction in new output models
- Standard error reduction techniques in XOR model have linear cost in output size
- No dependency on output size necessary for error reduction in XOR model
- Standard randomness removal techniques have multiplicative cost of 2k in XOR model
- Factor reduced to O(k) for randomness removal in XOR model
- Similar results shown for other output models
- Some natural problems separate the models when Hamming weights of inputs is bounded
- Rank lower bound technique used for weak output models.
Test your knowledge on communication complexity and output models with this quiz! Learn about the different output models studied, including the open model and XOR model inspired by XOR games. Discover how error-reduction plays a crucial role in new output models, and explore standard techniques for randomness removal and linear cost in output size. Find out how some natural problems separate the models when Hamming weights of inputs are bounded, and get familiar with rank lower bound techniques used for weak output models. Sharpen your expertise on this fascinating
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