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Approximate Log-Hilbert-Schmidt Distances Between Covariance Operators for Image Classification

CVPR 2016 · Learning theory and algorithms › Kernels and regression theory · approach: RKHS kernel methods · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
approximate the Log-HS distance using random Fourier featurescovariance-operator image classification · Fish Exp1classification accuracy: 53.91%(±4.34) vs 56.74%(±2.87)No clear effect
use quasi-random rather than random Fourier featuresApprox LogHS · Fish Exp1classification accuracy: 53.91%(±4.34) -> 54.30%(±3.44)No clear effect
use Approx LogHS instead of LogEimage classification · Fish Exp2classification accuracy: 46.20%(±1.9) -> 56.2%(±2.2)Helped
use QApprox LogHS instead of LogEimage classification · Fish Exp2classification accuracy: 46.20%(±1.9) -> 57.70%(±1.8)Helped
use approximate Log-HS instead of the best reported prior methodimage classification · Virusaccuracy: 82.5%(±2.9) [12] vs 81.5%(±2.1)Hurt
use approximate Log-HS instead of the best reported prior methodimage classification · KTH-TIPS2baccuracy: 80.1%(±4.6) [14] -> 83.6%(±5.4)Helped
use approximate Log-HS instead of the best reported prior methodimage classification · ETHZ Re-ID Seq1accuracy: 90.2%(±1.0) [14] -> 92.0%(±0.3)Helped
increase approximate feature dimension from 200 to 400 (ablation)Approx LogHS · TinyGraz03accuracy: 57% -> 59%Helped
increase approximate feature dimension from 400 to 1000 (ablation)Approx LogHS · TinyGraz03accuracy: 59% -> 60%Helped
increase approximate feature dimension from 200 to 400 (ablation)QApprox LogHS · TinyGraz03accuracy: 55% -> 58%Helped
increase approximate feature dimension from 400 to 1000 (ablation)QApprox LogHS · TinyGraz03accuracy: 58% -> 59%Helped
increase approximate feature dimension from 200 to 1000 (ablation)Approx LogHS · TinyGraz03training time: 3.8s -> 240.4sHurt

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