tanutarou’s gists

tanutarou / model_eval.ipynb

Last active March 3, 2020 14:28

ベイズ統計の理論と方法 6.2.3 例25 再現コード

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tanutarou / tfp_polyfit.ipynb

Created September 27, 2018 18:58

[WIP] bayesian polynomial fitting example by using tensorflow probability

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tanutarou / poisson.ipynb

Last active August 31, 2022 21:03

ポアソン分布に対するベイズ推論(メール受信数を例に実験)

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tanutarou / categorical.ipynb

Last active December 8, 2017 22:31

カテゴリカル分布に対するベイズ推定(サイコロの出る目の確率推定)

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tanutarou / bernoulli.ipynb

Last active November 25, 2017 06:49

ベルヌーイ試行のMAP推定、ベイズ推定の例：きのこ傘投げ問題

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tanutarou / bayesian_polyfit.ipynb

Created October 15, 2017 11:50

最小二乗法、ガウスノイズモデル、ベイズ線形回帰モデルによる多項式あてはめ

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tanutarou / file0.txt

Created September 23, 2017 11:09

EMアルゴリズムのメモ「ベイズ推定とグラフィカルモデル：コンピュータビジョン基礎1 セクション7」 ref: http://qiita.com/tanutarou/items/de149f39a52a4c207e3f

	\begin{eqnarray}
	\sum_i \sum_{k=1}^K q_i(z_k)\ln \left[\frac{p(x_i, z_k\|\theta)}{q_i(z_k)} \right] &=& \sum_i \sum_{k=1}^K q_i(z_k)\ln \left[ \frac{p(z_k\|x_i,\theta)p(x_i\|\theta)}{q_i(z_k)} \right] \\
	&=&\sum_i \sum_{k=1}^K q_i(z_k)\ln \left[ p(x_i\|\theta) \right] + \sum_i \sum_{k=1}^K q_i(z_k) \ln\left[ \frac{p(z_k\|x_i, \theta)}{q_i(z_k)} \right] \\
	&=& \sum_i \ln \left[ p(x_i\|\theta) \right] +\sum_i \sum_{k=1}^K q_i(z_k) \ln \left[ \frac{p(z_k\|x_i, \theta)}{q_i(z_k)} \right]
	\end{eqnarray}

tanutarou / gibbs_sampler.ipynb

Created September 5, 2017 09:30

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tanutarou / mcmc.ipynb

Last active September 5, 2017 12:22

『計算統計Ⅱ マルコフ連鎖モンテカルロ法とその周辺』第1部2章の再現コード (p.8~28)

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tanutarou / monte_carlo_pi.ipynb

Created September 3, 2017 06:32

Calculation of Pi Using the Monte Carlo Method

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	\begin{eqnarray}
	\sum_i \sum_{k=1}^K q_i(z_k)\ln \left[\frac{p(x_i, z_k\|\theta)}{q_i(z_k)} \right] &=& \sum_i \sum_{k=1}^K q_i(z_k)\ln \left[ \frac{p(z_k\|x_i,\theta)p(x_i\|\theta)}{q_i(z_k)} \right] \\
	&=&\sum_i \sum_{k=1}^K q_i(z_k)\ln \left[ p(x_i\|\theta) \right] + \sum_i \sum_{k=1}^K q_i(z_k) \ln\left[ \frac{p(z_k\|x_i, \theta)}{q_i(z_k)} \right] \\
	&=& \sum_i \ln \left[ p(x_i\|\theta) \right] +\sum_i \sum_{k=1}^K q_i(z_k) \ln \left[ \frac{p(z_k\|x_i, \theta)}{q_i(z_k)} \right]
	\end{eqnarray}