Madhav commited on
Commit
72375b5
·
1 Parent(s): d488e22

Update app.py

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Files changed (1) hide show
  1. app.py +2 -2
app.py CHANGED
@@ -49,8 +49,8 @@ def run_linear_regression(X, y, alpha_prior, beta_prior, sigma_prior):
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  # User Input
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  st.write("# Bayesian Linear Regression")
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- st.latex(r'''\textbf{Prior:} \hspace{0.5 cm} p(\alpha) \distas N(\mu_0, \Sigma_0),\hspace{0.2 cm} p(\beta) = N(\mu_1, \Sigma_1),\hspace{0.2 cm} p(\sigma) = N(\mu_2, \Sigma_2)''')
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- st.latex(r'''\textbf{Likelihood:} \hspace{0.5 cm} p(y | X, \beta,\alpha, \sigma) \distas N(X\beta + \alpha, \sigma)''')
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  st.latex(r'''\textbf{Posterior:} \hspace{0.5 cm} p(\alpha | X, y) \propto p(y | X, \beta, \sigma) p(\alpha),\hspace{0.2 cm} p(\beta | X, y) \propto p(y | X, \alpha, \sigma) p(\beta),\hspace{0.2 cm} p(\sigma | X, y) \propto p(y | X, \beta, \alpha) p(\sigma)''')
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  alpha_prior_option = st.selectbox("Choose an option for alpha prior:", ["Normal", "Laplace", "Cauchy"])
 
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  # User Input
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  st.write("# Bayesian Linear Regression")
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+ st.latex(r'''\textbf{Prior:} \hspace{0.5 cm} p(\alpha) = N(\mu_0, \Sigma_0),\hspace{0.2 cm} p(\beta) = N(\mu_1, \Sigma_1),\hspace{0.2 cm} p(\sigma) = N(\mu_2, \Sigma_2)''')
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+ st.latex(r'''\textbf{Likelihood:} \hspace{0.5 cm} p(y | X, \beta,\alpha, \sigma) = N(X\beta + \alpha, \sigma)''')
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  st.latex(r'''\textbf{Posterior:} \hspace{0.5 cm} p(\alpha | X, y) \propto p(y | X, \beta, \sigma) p(\alpha),\hspace{0.2 cm} p(\beta | X, y) \propto p(y | X, \alpha, \sigma) p(\beta),\hspace{0.2 cm} p(\sigma | X, y) \propto p(y | X, \beta, \alpha) p(\sigma)''')
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  alpha_prior_option = st.selectbox("Choose an option for alpha prior:", ["Normal", "Laplace", "Cauchy"])