Madhav commited on
Commit
d089567
·
1 Parent(s): d6499f1

Update app.py

Browse files
Files changed (1) hide show
  1. app.py +3 -3
app.py CHANGED
@@ -49,9 +49,9 @@ def run_linear_regression(X, y, alpha_prior, beta_prior, sigma_prior):
49
  # User Input
50
  st.write("# Bayesian Linear Regression")
51
 
52
- st.latex(r'''\textbf{Prior:} p(\alpha) = N(\mu_0, \Sigma_0), p(\beta) = N(\mu_1, \Sigma_1), p(\sigma) = N(\mu_2, \Sigma_2)''')
53
- st.latex(r'''\textbf{Likelihood:} p(y | X, \beta,\alpha, \sigma) = N(X\beta + \alpha, \sigma)''')
54
- st.latex(r'''\textbf{Posterior:} p(\alpha | X, y) \propto p(y | X, \beta, \sigma) p(\alpha), p(\beta | X, y) \propto p(y | X, \alpha, \sigma) p(\beta), p(\sigma | X, y) \propto p(y | X, \beta, \alpha) p(\sigma)''')
55
 
56
  alpha_prior_option = st.selectbox("Choose an option for alpha prior:", ["Normal", "Laplace", "Cauchy"])
57
  if alpha_prior_option == "Normal":
 
49
  # User Input
50
  st.write("# Bayesian Linear Regression")
51
 
52
+ st.latex(r'''\textbf{Prior:} \hspace{0.5 cm} p(\alpha) = N(\mu_0, \Sigma_0), p(\beta) = N(\mu_1, \Sigma_1), p(\sigma) = N(\mu_2, \Sigma_2)''')
53
+ st.latex(r'''\textbf{Likelihood:} \hspace{0.5 cm} p(y | X, \beta,\alpha, \sigma) = N(X\beta + \alpha, \sigma)''')
54
+ st.latex(r'''\textbf{Posterior:} \hspace{0.5 cm} p(\alpha | X, y) \propto p(y | X, \beta, \sigma) p(\alpha), p(\beta | X, y) \propto p(y | X, \alpha, \sigma) p(\beta), p(\sigma | X, y) \propto p(y | X, \beta, \alpha) p(\sigma)''')
55
 
56
  alpha_prior_option = st.selectbox("Choose an option for alpha prior:", ["Normal", "Laplace", "Cauchy"])
57
  if alpha_prior_option == "Normal":