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Translation Synchronization via Truncated Least Squares

NeurIPS 2017 · Learning theory and algorithms › Matrix and tensor methods · approach: High-dimensional estimation theory · 23 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use TranSync truncated least squares instead of coordinate descent on the L1 programtranslation synchronization · Synthetic dense irregular Gdi, p=0.4, sigma=0.01median coordinate error: 17.59e-2 -> 0.52e-2Helped
use TranSync instead of coordinate descenttranslation synchronization · Synthetic dense regular Gdr, p=0.4, sigma=0.04median coordinate error: 4.73e-2 -> 1.22e-2Helped
use TranSync instead of coordinate descenttranslation synchronization · Synthetic sparse regular Gsr, p=0.8, sigma=0.04median coordinate error: 2.62e-2 -> 1.55e-2Helped
use TranSync instead of coordinate descenttranslation synchronization · Synthetic sparse regular Gsr, p=1.0, sigma=0.01running time: 9.798s -> 0.188sHelped
use TranSync instead of coordinate descenttranslation synchronization · Synthetic sparse irregular Gsi, p=0.8, sigma=0.01running time: 10.236s -> 1.835sHelped
use TranSync instead of coordinate descenttranslation synchronization · Synthetic dense regular Gdr, p=0.8, sigma=0.01running time: 0.781s -> 0.149sHelped
use TranSync instead of coordinate descentjoint alignment of point clouds · Patriot Circle Lidar (6K scans)trajectory reconstructionHelped
final TranSync prediction after pruning inconsistent comparisons vs initial predictionTranSync · Netflix movie rankingconsistency with MRQE rankingHelped
use TranSync instead of HodgeRank variantsranking · Netflix six moviesconsistency with MRQE rankingHelped

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