no code implementations • 25 Nov 2022 • Yuma Ichikawa, Akira Nakagawa, Hiromoto Masayuki, Yuhei Umeda
However, SLMC methods are difficult to directly apply to multimodal distributions for which training data are difficult to obtain.
no code implementations • 30 Jul 2020 • Akira Nakagawa, Keizo Kato, Taiji Suzuki
According to the Rate-distortion theory, the optimal transform coding is achieved by using an orthonormal transform with PCA basis where the transform space is isometric to the input.
no code implementations • ICML 2020 • Keizo Kato, Jing Zhou, Tomotake Sasaki, Akira Nakagawa
We show our method has the following properties: (i) the Jacobian matrix between the input space and a Euclidean latent space forms a constantlyscaled orthonormal system and enables isometric data embedding; (ii) the relation of PDFs in both spaces can become tractable one such as proportional relation.
no code implementations • 25 Sep 2019 • Keizo Kato, Jing Zhou, Akira Nakagawa
In the generative model approach of machine learning, it is essential to acquire an accurate probabilistic model and compress the dimension of data for easy treatment.