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Electronic Colloquium on Computational Complexity

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TR18-122 | 3rd July 2018
Igor Carboni Oliveira, Rahul Santhanam

Pseudo-derandomizing learning and approximation

We continue the study of pseudo-deterministic algorithms initiated by Gat and Goldwasser
[GG11]. A pseudo-deterministic algorithm is a probabilistic algorithm which produces a fixed
output with high probability. We explore pseudo-determinism in the settings of learning and ap-
proximation. Our goal is to simulate known randomized algorithms in these settings ... more >>>


TR18-121 | 20th June 2018
Justin Holmgren, Lisa Yang

Characterizing Parallel Repetition of Non-Signaling Games: Counterexamples and a Dichotomy Theorem

Non-signaling games are an important object of study in the theory of computation, for their role both in quantum information and in (classical) cryptography. In this work, we study the behavior of these games under parallel repetition.

We show that, unlike the situation both for classical games and for two-player ... more >>>


TR18-120 | 21st June 2018
Alexandros Hollender, Paul Goldberg

The Complexity of Multi-source Variants of the End-of-Line Problem, and the Concise Mutilated Chessboard

The complexity class PPAD is usually defined in terms of the END-OF-LINE problem, in which we are given a concise representation of a large directed graph having indegree and outdegree at most 1, and a known source, and we seek some other degree-1 vertex. We show that variants where we ... more >>>



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