q-dim bugfix in ScalarizedPosteriorMean (meta-pytorch#3191)

Summary:

Fixes ScalarizedPosteriorMean to correctly reduce over the q-dimension, ensuring consistent behavior with other analytic acquisition functions.

Reviewed By: saitcakmak

Differential Revision: D93691048

Author: Carl Hvarfner

botorch/acquisition/analytic.py

@@ -1078,12 +1078,20 @@ def forward(self, X: Tensor) -> Tensor:
                 t-batches of ``d``-dim design points each.
 
         Returns:
-            A ``(b1 x ... x bk)``-dim Tensor of Posterior Mean values at the given
-            design points ``X``.
+            A ``(b1 x ... x bk)``-dim Tensor of scalarized Posterior Mean values
+            at the given design points ``X``.
         """
-        # (b1 x ... x bk) x q x 1
-        mean, _ = self._mean_and_sigma(X, compute_sigma=False)
-        return mean.squeeze(-1) @ self.weights
+        # ScalarizedPosteriorMean cannot use self._mean_and_sigma, since that squeezes
+        # the q-dim.
+        self.to(X)  # Sync weights buffer to X's device/dtype
+        posterior = self.model.posterior(
+            X=X, posterior_transform=self.posterior_transform
+        )
+        # posterior.mean has shape (b1 x ... x bk) x q x m
+        # squeeze(-1) removes m (should be 1), giving (b1 x ... x bk) x q
+        mean = posterior.mean.squeeze(-1)
+        # @ self.weights: (b1 x ... x bk) x q @ q -> (b1 x ... x bk)
+        return mean @ self.weights
 
 
 class PosteriorStandardDeviation(AnalyticAcquisitionFunction):