Search Results for author: Koji Hukushima

Found 5 papers, 1 papers with code

Learning Dynamics in Linear VAE: Posterior Collapse Threshold, Superfluous Latent Space Pitfalls, and Speedup with KL Annealing

no code implementations24 Oct 2023 Yuma Ichikawa, Koji Hukushima

To mitigate this problem, an adjustable hyperparameter $\beta$ and a strategy for annealing this parameter, called KL annealing, are proposed.

Representation Learning

Dataset Size Dependence of Rate-Distortion Curve and Threshold of Posterior Collapse in Linear VAE

no code implementations14 Sep 2023 Yuma Ichikawa, Koji Hukushima

This paper presents a closed-form expression to assess the relationship between the beta in VAE, the dataset size, the posterior collapse, and the rate-distortion curve by analyzing a minimal VAE in a high-dimensional limit.

Representation Learning

Data-driven sensitivity analysis in a total-reflection high-energy positron diffraction (TRHEPD) experiment of the Si$_4$O$_5$N$_3$ / 6H-SiC (0001)-($\sqrt{3} \times \sqrt{3}$) R30$^\circ$

no code implementations8 Mar 2021 Takeo Hoshi, Daishiro Sakata, Shotaro Oie, Izumi Mochizuki, Satoru Tanaka, Toshio Hyodo, Koji Hukushima

The present article proposes a data analysis method for experimentally-derived measurements, which consists of an auto-optimization procedure and a sensitivity analysis.

Materials Science

Exchange Monte Carlo Method and Application to Spin Glass Simulations

2 code implementations6 Dec 1995 Koji Hukushima, Koji Nemoto

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is introduced.

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