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REPORTS > KEYWORD > WEIGHTED PSEUDORANDOM GENERATOR:
Reports tagged with weighted pseudorandom generator:
TR23-114 | 8th August 2023
Lijie Chen, William Hoza, Xin Lyu, Avishay Tal, Hongxun Wu

Weighted Pseudorandom Generators via Inverse Analysis of Random Walks and Shortcutting

A weighted pseudorandom generator (WPRG) is a generalization of a pseudorandom generator (PRG) in which, roughly speaking, probabilities are replaced with weights that are permitted to be positive or negative. We present new explicit constructions of WPRGs that fool certain classes of standard-order read-once branching programs. In particular, our WPRGs ... more >>>


TR23-130 | 8th September 2023
Eshan Chattopadhyay, Jyun-Jie Liao

Recursive Error Reduction for Regular Branching Programs

Revisions: 1

In a recent work, Chen, Hoza, Lyu, Tal and Wu (FOCS 2023) showed an improved error reduction framework for the derandomization of regular read-once branching programs (ROBPs). Their result is based on a clever modification to the inverse Laplacian perspective of space-bounded derandomization, which was originally introduced by Ahmadinejad, Kelner, ... more >>>


TR24-090 | 12th May 2024
Gil Cohen, Dean Doron, Tomer Manket, Edward Pyne, Yichuan Wang, Tal Yankovitz

A Study of Error Reduction Polynomials

Error reduction procedures play a crucial role in constructing weighted PRGs [PV'21, CDRST'21], which are central to many recent advances in space-bounded derandomization. The fundamental method driving error reduction procedures is the Richardson iteration, which is adapted from the literature on fast Laplacian solvers. In the context of space-bounded derandomization, ... more >>>




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