Search Results for author: Hiroyuki Nakahara

Found 5 papers, 2 papers with code

Sample Space Truncation on Boltzmann Machines

no code implementations NeurIPS Workshop DL-IG 2020 Mahito Sugiyama, Koji Tsuda, Hiroyuki Nakahara

We present a lightweight variant of Boltzmann machines via sample space truncation, called a truncated Boltzmann machine (TBM), which has not been investigated before while can be naturally introduced from the log-linear model viewpoint.

Transductive Boltzmann Machines

no code implementations21 May 2018 Mahito Sugiyama, Koji Tsuda, Hiroyuki Nakahara

We present transductive Boltzmann machines (TBMs), which firstly achieve transductive learning of the Gibbs distribution.

Transductive Learning

Legendre Decomposition for Tensors

1 code implementation NeurIPS 2018 Mahito Sugiyama, Hiroyuki Nakahara, Koji Tsuda

We present a novel nonnegative tensor decomposition method, called Legendre decomposition, which factorizes an input tensor into a multiplicative combination of parameters.

Tensor Decomposition

Bias-Variance Decomposition for Boltzmann Machines

no code implementations ICLR 2018 Mahito Sugiyama, Koji Tsuda, Hiroyuki Nakahara

We achieve bias-variance decomposition for Boltzmann machines using an information geometric formulation.

Tensor Balancing on Statistical Manifold

1 code implementation ICML 2017 Mahito Sugiyama, Hiroyuki Nakahara, Koji Tsuda

To theoretically prove the correctness of the algorithm, we model tensors as probability distributions in a statistical manifold and realize tensor balancing as projection onto a submanifold.

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