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2024-03-28 15:14:08
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-
created at
2024-06-07 17:37:49
updated at
2025-12-31 03:53:36
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20
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20 (imported)
title
Thoughts
description
by Manu
image
site name
Thoughts
author
updated
2025-12-19 07:22:07
raw text
Thoughts – by Manu Skip to content Home Thoughts by Manu Locality Bounds for Sampling Hamming Slices The complexity of distributions ( tag ) has seen a lot of activity and exciting progress, including [ Vio12b , LV12 , Vio14 , DW11 , BIL12 , BCS14 , Vio12c , Vio20 , CGZ21 , Vio23 , YZ24 , FLRS23 , RS24 , DMK24 ] and connections to extractors [ CZ16 , Li16 , CS16 , Coh16 , BDT16 ] , data structures, and quantum-classical separations [ WP23 ] . One of the problems considered in [ Vio12b ] is that of sampling the uniform distribution over strings of weight with small locality or depth. Two bounds are proved in [ Vio12b ] . One proves a moderate statistical-distance bound, the other proves a tight statistical distance bound approaching one, but has a restriction on the input length of the sampler. Digression . This restriction appears to have stuck, possibly also because the original post in Goldreich’s choices only mentioned that r...
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2025110801
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10 - wisdom.weizmann.ac.il, eccc.weizmann.ac.il, r20.rs6.net
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2025-12-19 07:22:07
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2024-04-09 01:38:32
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160
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2024-04-08 19:57:10
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2024-07-29 06:35:34
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