diff --git a/model2vec/train/base.py b/model2vec/train/base.py
index 5c0a019..8ce093e 100644
--- a/model2vec/train/base.py
+++ b/model2vec/train/base.py
@@ -18,7 +18,13 @@
 from model2vec import StaticModel
 from model2vec.inference import StaticModelPipeline
 from model2vec.train.dataset import TextDataset
-from model2vec.train.utils import get_probable_pad_token_id, suppress_lightning_warnings, to_pipeline, train_test_split
+from model2vec.train.utils import (
+    get_probable_pad_token_id,
+    logit,
+    suppress_lightning_warnings,
+    to_pipeline,
+    train_test_split,
+)
 
 logger = logging.getLogger(__name__)
 
@@ -79,11 +85,15 @@ def __init__(
         self.freeze = freeze
         self.embeddings = nn.Embedding.from_pretrained(vectors.clone(), freeze=self.freeze, padding_idx=pad_id)
         self.head = self.construct_head()
-        self.w = self.construct_weights() if weights is None else nn.Parameter(weights.float(), requires_grad=True)
+        self._weights = weights
+        self.w = self.construct_weights()
         self.tokenizer = tokenizer
 
     def construct_weights(self) -> nn.Parameter:
         """Construct the weights for the model."""
+        if self._weights is not None:
+            w = logit(self._weights)
+            return nn.Parameter(w.float(), requires_grad=True)
         weights = torch.zeros(len(self.token_mapping))
         weights[self.pad_id] = -10_000
         return nn.Parameter(weights, requires_grad=not self.freeze)
diff --git a/model2vec/train/utils.py b/model2vec/train/utils.py
index d206c77..683c7ff 100644
--- a/model2vec/train/utils.py
+++ b/model2vec/train/utils.py
@@ -7,6 +7,7 @@
 from typing import TYPE_CHECKING, Any, Callable
 
 import numpy as np
+import torch
 from sklearn.model_selection import train_test_split as sklearn_split
 from sklearn.neural_network import MLPClassifier, MLPRegressor
 from sklearn.pipeline import make_pipeline
@@ -111,3 +112,8 @@ class TipFilter(logging.Filter):
     def filter(self, record: logging.LogRecord) -> bool:
         """Filter out tip messages from lightning."""
         return "💡 Tip" not in record.getMessage()
+
+
+def logit(x: torch.Tensor) -> torch.Tensor:
+    """Invert a sigmoid."""
+    return -torch.log((1 / x) - 1)
diff --git a/tests/test_trainable.py b/tests/test_trainable.py
index 6f328da..3541ef8 100644
--- a/tests/test_trainable.py
+++ b/tests/test_trainable.py
@@ -13,7 +13,7 @@
 from model2vec.train.base import BaseFinetuneable
 from model2vec.train.dataset import TextDataset
 from model2vec.train.similarity import StaticModelForSimilarity
-from model2vec.train.utils import get_probable_pad_token_id, train_test_split
+from model2vec.train.utils import get_probable_pad_token_id, logit, train_test_split
 
 
 @pytest.mark.parametrize("n_layers", [0, 1, 2, 3])
@@ -74,6 +74,17 @@ def test_init_classifier_from_model(mock_vectors: np.ndarray, mock_tokenizer: To
         assert s.w.shape[0] == mock_vectors.shape[0]
 
 
+def test_init_classifier_from_model_w(mock_vectors: np.ndarray, mock_tokenizer: Tokenizer) -> None:
+    """Test initializion from a static model."""
+    model = StaticModel(vectors=mock_vectors, tokenizer=mock_tokenizer, weights=np.ones(len(mock_vectors)))
+    s = StaticModelForClassification.from_static_model(model=model)
+    assert s._weights is not None
+    assert torch.all(s._weights == torch.ones(len(mock_vectors)))
+    w = s.construct_weights()
+    assert w.shape[0] == mock_vectors.shape[0]
+    assert torch.all(w == logit(torch.ones(len(mock_vectors))))
+
+
 def test_pad_token(mock_tokenizer: Tokenizer) -> None:
     """Test initializion from a static model."""
     tokenizer_model = TokenizerModel.from_tokenizer(mock_tokenizer)
@@ -360,3 +371,9 @@ def test_determine_interval() -> None:
     )
     assert val_check_interval == 100
     assert check_val_every_epoch is None
+
+
+def test_logit() -> None:
+    """Test on random data."""
+    x = torch.arange(10).float() / 10
+    assert torch.allclose(logit(torch.sigmoid(x)), x, atol=1e-6)