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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > TONIANN PITASSI:
All reports by Author Toniann Pitassi:

TR24-205 | 17th December 2024
Tsun-Ming Cheung, Hamed Hatami, Kaave Hosseini, Aleksandar Nikolov, Toniann Pitassi, Morgan Shirley

A Lower Bound on the Trace Norm of Boolean Matrices and its Applications

We present a simple method based on a variant of Hölder's inequality to lower-bound the trace norm of Boolean matrices. As the main result, we obtain an exponential separation between the randomized decision tree depth and the spectral norm (i.e. the Fourier $L_1$-norm) of a Boolean function. This answers an ... more >>>




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