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Questions and Answers
Which output model inspired by XOR games is studied in the text?
Which output model inspired by XOR games is studied in the text?
- The closed model
- The open model
- The AND model
- The XOR model (correct)
Which output model has no dependency on output size for error reduction?
Which output model has no dependency on output size for error reduction?
- Open model
- XOR model (correct)
- Closed model
- Random model
What is the cost of standard error reduction techniques in the XOR model?
What is the cost of standard error reduction techniques in the XOR model?
- Linear cost in output size (correct)
- Exponential cost in output size
- Constant cost in output size
- No cost in output size
Which technique has a factor reduced to O(k) for randomness removal in XOR model?
Which technique has a factor reduced to O(k) for randomness removal in XOR model?
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What is the cost of standard randomness removal techniques in the XOR model?
What is the cost of standard randomness removal techniques in the XOR model?
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Which technique is used for weak output models?
Which technique is used for weak output models?
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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.
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