From 7b5240da52e901bbd25c17eb6f55fe810a25dcb5 Mon Sep 17 00:00:00 2001
From: GitHub Action <action@github.com>
Date: Tue, 3 Oct 2023 18:03:46 +0000
Subject: [PATCH] Auto-format with Black

---
 ppi_py/ppi.py | 26 +++++++++++++++++++-------
 1 file changed, 19 insertions(+), 7 deletions(-)

diff --git a/ppi_py/ppi.py b/ppi_py/ppi.py
index 5892bcb..6902c10 100644
--- a/ppi_py/ppi.py
+++ b/ppi_py/ppi.py
@@ -402,6 +402,7 @@ def ppi_logistic_pointestimate(
         theta -= step_size * grad
     return theta
 
+
 def ppi_logistic_ci(
     X,
     Y,
@@ -411,7 +412,7 @@ def ppi_logistic_ci(
     alpha=0.1,
     step_size=1e-3,  # Optimizer step size
     grad_tol=5e-16,  # Optimizer grad tol
-    alternative='two-sided'
+    alternative="two-sided",
 ):
     """Computes the prediction-powered confidence interval for the logistic regression coefficients.
 
@@ -443,13 +444,19 @@ def ppi_logistic_ci(
         grad_tol=grad_tol,
     )
 
-    mu_til = expit(X_unlabeled@ppi_pointest)
+    mu_til = expit(X_unlabeled @ ppi_pointest)
 
-    Hessian = np.zeros((d,d))
+    Hessian = np.zeros((d, d))
     grads_til = np.zeros(X_unlabeled.shape)
     for i in range(N):
-        Hessian += 1/N * mu_til[i] * (1-mu_til[i]) * np.outer(X_unlabeled[i], X_unlabeled[i])
-        grads_til[i,:] = X_unlabeled[i,:]*(mu_til[i] - Yhat_unlabeled[i])
+        Hessian += (
+            1
+            / N
+            * mu_til[i]
+            * (1 - mu_til[i])
+            * np.outer(X_unlabeled[i], X_unlabeled[i])
+        )
+        grads_til[i, :] = X_unlabeled[i, :] * (mu_til[i] - Yhat_unlabeled[i])
 
     inv_Hessian = np.linalg.inv(Hessian)
     var_unlabeled = np.cov(grads_til.T)
@@ -458,9 +465,14 @@ def ppi_logistic_ci(
     grad_diff = np.diag(pred_error) @ X
     var = np.cov(grad_diff.T)
 
-    Sigma_hat = inv_Hessian @ (n/N * var_unlabeled + var) @ inv_Hessian
+    Sigma_hat = inv_Hessian @ (n / N * var_unlabeled + var) @ inv_Hessian
 
-    return _zconfint_generic(ppi_pointest, np.sqrt(np.diag(Sigma_hat)/n), alpha=alpha, alternative=alternative)
+    return _zconfint_generic(
+        ppi_pointest,
+        np.sqrt(np.diag(Sigma_hat) / n),
+        alpha=alpha,
+        alternative=alternative,
+    )
 
 
 """