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08/31/2023
Lower Bounds on the Complexity of Mixed-Integer Programs for Stable Set and Knapsack
Standard mixed-integer programming formulations for the stable set probl...
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07/26/2023
Fourier Growth of Communication Protocols for XOR Functions
The level-k ℓ_1-Fourier weight of a Boolean function refers to the sum o...
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12/01/2022
Quantum Cryptography in Algorithmica
We construct a classical oracle relative to which 𝖯 = 𝖭𝖯 yet single-copy...
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11/23/2022
Quantum-Classical Tradeoffs in the Random Oracle Model
We study tradeoffs between quantum and classical queries for hybrid algo...
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04/25/2022
Smoothed Analysis of the Komlós Conjecture
The well-known Komlós conjecture states that given n vectors in ℝ^d with...
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03/01/2022
Influence in Completely Bounded Block-multilinear Forms and Classical Simulation of Quantum Algorithms
The Aaronson-Ambainis conjecture (Theory of Computing '14) says that eve...
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11/13/2021
Prefix Discrepancy, Smoothed Analysis, and Combinatorial Vector Balancing
A well-known result of Banaszczyk in discrepancy theory concerns the pre...
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12/24/2020
Majorizing Measures for the Optimizer
The theory of majorizing measures, extensively developed by Fernique, Ta...
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08/16/2020
k-Forrelation Optimally Separates Quantum and Classical Query Complexity
Aaronson and Ambainis (SICOMP `18) showed that any partial function on N...
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07/21/2020
Online Discrepancy Minimization for Stochastic Arrivals
In the stochastic online vector balancing problem, vectors v_1,v_2,…,v_T...
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12/06/2019
Online Vector Balancing and Geometric Discrepancy
We consider an online vector balancing question where T vectors, chosen ...
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11/25/2018
Exponential Separation between Quantum Communication and Logarithm of Approximate Rank
Chattopadhyay, Mande and Sherif (ECCC 2018) recently exhibited a total B...
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11/28/2017
Lower Bounds for Approximating the Matching Polytope
We prove that any extended formulation that approximates the matching po...
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11/20/2017