Angular Visual Hardness
Angular Visual Hardness
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2020
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Gaussian Simulation Plot: We generate 2000 3-d random vectors from two multivariate normal distribution (1000 for each) and normalize to unit norm, shown in red and green color on the left plot in figure 7. Then these data points are passed as the inputs to a simple multi layer perceptron classification model with one 3⇥ 2 hidden layer. Upon convergence, we compute the AVH scores for each data point. The middle image shows the visualization of AVH scores for all data points, with lighter color representing higher AVH scores. It is obvious that AVH scores for points lying on the intersection of two clusters are higher, which agrees with the intuition that those are hard examples. We also compute the `2 norm of the feature embeddings shown in the right plot. One can see there is no obvious correlation with visually hard examples.