Search Results for author: Keiji Miura

Found 4 papers, 1 papers with code

Tropical Decision Boundaries for Neural Networks Are Robust Against Adversarial Attacks

no code implementations1 Feb 2024 Kurt Pasque, Christopher Teska, Ruriko Yoshida, Keiji Miura, Jefferson Huang

We introduce a simple, easy to implement, and computationally efficient tropical convolutional neural network architecture that is robust against adversarial attacks.

Tropical Geometric Tools for Machine Learning: the TML package

1 code implementation3 Sep 2023 David Barnhill, Ruriko Yoshida, Georgios Aliatimis, Keiji Miura

In the last decade, developments in tropical geometry have provided a number of uses directly applicable to problems in statistical learning.

Density Estimation

Tropical Density Estimation of Phylogenetic Trees

no code implementations9 Jun 2022 Ruriko Yoshida, David Barnhill, Keiji Miura, Daniel Howe

In order to discover ``outlying'' gene trees which do not follow the ``main distribution(s)'' of trees, we propose to apply the ``tropical metric'' with the max-plus algebra from tropical geometry to a non-parametric estimation of gene trees over the space of phylogenetic trees.

Density Estimation

Tropical Support Vector Machines: Evaluations and Extension to Function Spaces

no code implementations27 Jan 2021 Ruriko Yoshida, Misaki Takamori, Hideyuki Matsumoto, Keiji Miura

Similar to SVMs, tropical SVMs classify data points using a tropical hyperplane under the tropical metric with the max-plus algebra.

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