From 0b2c847e17c9cb322bead25edeaa4e55d681eab9 Mon Sep 17 00:00:00 2001 From: Vasil Zlatanov Date: Thu, 13 Dec 2018 16:56:36 +0000 Subject: Capital Mahalanobis --- report/paper.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/report/paper.md b/report/paper.md index a20e943..0aa514a 100755 --- a/report/paper.md +++ b/report/paper.md @@ -113,16 +113,16 @@ improve identification accuracy, and consider it an additional baseline. ## Mahalanobis Distance -We were not able to achieve significant improvements using mahalanobis for +We were not able to achieve significant improvements using Mahalanobis for original distance ranking compared to square euclidiaen metrics. -The mahalanobis distance metric was used to create the ranklist as an alternative to euclidean distance: +The Mahalanobis distance metric was used to create the ranklist as an alternative to euclidean distance: $$ d_M(p,g_i) = (p-g_i)^TM(p-g_i). $$ -When performing mahalanobis with the covariance matrix $M$ generated from the training set, reported accuracy is reduced to **38%** . +When performing Mahalanobis with the covariance matrix $M$ generated from the training set, reported accuracy is reduced to **38%** . -We also attempted to perform the same mahalanobis metric on a reduced PCA featureset. This allowed for significant execution +We also attempted to perform the same Mahalanobis metric on a reduced PCA featureset. This allowed for significant execution time improvements due to the greatly reduced computation requierments for smaller featurespace, but nevertheless demonstrated no improvements over an euclidean metric. @@ -140,7 +140,7 @@ transformations performed the the ResNet-50 convolution model the features were \end{center} \end{figure} -While we did not use mahalanobis as a primary distance metric, it is possible to use the Mahalanobis metric, together with the next investigated solution involving $k$-reciprocal re-ranking. +While we did not use Mahalanobis as a primary distance metric, it is possible to use the Mahalanobis metric, together with the next investigated solution involving $k$-reciprocal re-ranking. # Suggested Improvement -- cgit v1.2.3