diff --git a/cap_naive_bayes/naive_bayes.py b/cap_naive_bayes/naive_bayes.py
index a75f82b..441e2cf 100644
--- a/cap_naive_bayes/naive_bayes.py
+++ b/cap_naive_bayes/naive_bayes.py
@@ -267,9 +267,12 @@ def _normalize_log_probs(log_probs: np.ndarray) -> np.ndarray:
         """Perform P_i = P_i / sum_i(P_i) but in log space"""
         logger.debug("Start _normalize_log_probs...")
         
-        sum_log_probs = np.log(np.exp(log_probs).sum(axis=1)).reshape(-1, 1)  # normalization coefficient
-        probs = np.exp(log_probs - sum_log_probs)
-
+        # use log-sum-exp
+        k = np.max(log_probs, axis=1).reshape(-1,1)
+        exp = np.exp(log_probs - k)
+        log_sum_biased = np.log(exp.sum(axis=1).reshape(-1,1))
+        log_sum = log_sum_biased + k
+        probs = np.exp(log_probs - log_sum)
         logger.debug("Finished _normalize_log_probs!")
         return probs
 
diff --git a/pyproject.toml b/pyproject.toml
index 5fd471d..09d35b6 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,6 +1,6 @@
 [project]
 name = "cap-naive-bayes"
-version = "0.1.2"
+version = "0.1.3"
 description = "A lightweight implementation of a multinomial Naive Bayes classifier for Annotation Transfer of single-cell data."
 readme = "README.md"
 requires-python = ">=3.11"