Research

[Research done by Imai]

(1) イロ・レーティングの順序効果を拡張したモデルの提案を提案したもの。

[文献] ハンディキャップのある対戦に対するBradley-Terryモデルの適用 (PDF)

(2) NMFでよく知られている事実なのかどうか、調べてもわからなかったのでショートノートにして投降したもの。

[文献] Shift Invariance Property of a Non-Negative Matrix Factorization (PDF)

(3) 保健学科との共同研究。データ分析のところを担当した。体内のビタミンDと紫外線の一種であるUVBを時系列解析で分析したもの。

[文献] Determination of Serum 25-Hydroxyvitamin D3 by LC/MS/MS and Its Monthly Variation in Sapporo Indoor Workers (PDF)

[Research done by Miyahara]

Works done by students supervised by Miyahara

(1) Quantum natural gradient

We found that we can accelerate quantum natural gradient by removing the condition of monotonicity.

[Reference] Quantum natural gradient without monotonicity

(2) active matter

We foudn a new phase of the Vicsek model by using DBSCAN.

[Reference] Vicsek Model Meets DBSCAN: Cluster Phases in the Vicsek Model

(3) Information geometry + chemical reaction networks

We derived the upper bound of the speed of chemical reaction networks by using natural graident

[Reference] Information geometric bound on general chemical reaction networks

Work done before Miyahara joined Hokkaido University:

(1) machine learning + quantum physics

We extended variational Bayes inference quantum-mechanically

[Reference] Quantum extension of variational Bayes inference

[Reference] Quantum advantage in variational Bayes inference

(2) population dynamics

We invested the statistical-mechanical property of population dynamics.

[Reference] Many-body perturbation theory and fluctuation relations for interacting population dynamics