Computing GapMAJ∘fⁿ requires n·(I−O(1)) bits of information, making GapMAJ the third outer gadget with a strong composition theorem in two-player communication.
Bin Packing via Discrepancy of Permutations
4 Pith papers cite this work, alongside 110 external citations. Polarity classification is still indexing.
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Greedy vector balancing on finite unit-vector sets T in R^d achieves norm bound (2/δ_T)^{d-1} independent of sequence length n.
Performers approximate full-rank softmax attention in Transformers via FAVOR+ random features for linear complexity, with theoretical guarantees of unbiased estimation and competitive results on pixel, text, and protein tasks.
Establishes n^{1-ε}-hardness of approximation for dichromatic number and acyclic number on tournaments, plus polynomial-time approximations for ℓ-dicolorable digraphs and special dense cases.
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Gap-Majority Lemmas in Communication Complexity
Computing GapMAJ∘fⁿ requires n·(I−O(1)) bits of information, making GapMAJ the third outer gadget with a strong composition theorem in two-player communication.
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Greedy Vector Balancing
Greedy vector balancing on finite unit-vector sets T in R^d achieves norm bound (2/δ_T)^{d-1} independent of sequence length n.
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Rethinking Attention with Performers
Performers approximate full-rank softmax attention in Transformers via FAVOR+ random features for linear complexity, with theoretical guarantees of unbiased estimation and competitive results on pixel, text, and protein tasks.
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Hardness and Approximation for Coloring Digraphs
Establishes n^{1-ε}-hardness of approximation for dichromatic number and acyclic number on tournaments, plus polynomial-time approximations for ℓ-dicolorable digraphs and special dense cases.