Geometry-Aware Learning Algorithms for Histogram Data Using Adaptive Metric Embeddings and Kernel FunctionsGeometry-Aware Learning Algorithms for Histogram Data Using Adaptive Metric Embeddings and Kernel Functions 距離の適応埋込みとカーネル関数を用いたヒストグラムデータからの幾何認識学習アルゴリズム
Metric learning Kernel method Histogram Aitchison geometry the probability simplex Bag of features Riemannian manifold
Thesis or Dissertation
The content of Chapter 2 was published in Journal of Machine Learning Workshop and Conference Proceedings Vol. 29: Asian Conference on Machine Learning (ACML), pp. 293-308, 2013 and Machine Learning Journal (MLJ), pp. 169-187, 2014. Springer and the Machine Learning Journal, volume 99, 2015, pp. 169-187, Adaptive Euclidean Maps for Histograms: Generalized Aitchison Embeddings, Tam Le and Marco Cuturi, original copyright notice is given to the publication in which the material was originally published, by adding; with kind permission from Springer Science and Business Media. The content of Chapter 3 was published in Journal of Machine Learning Research Workshop and Conference Proceedings Vol. 37: Proceedings of the 32nd International Conference on Machine Learning (ICML), pp. 2002-2011, 2015. The content of Chapter 4 was published in Journal of the Institute of Image Electronics Engineers of Japan (IIEEJ), Vol. 42, No. 2, pp. 214-221, 2013.