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@ -206,7 +206,9 @@ def kl_div_loss(
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return _reduce(loss, reduction)
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def hinge_loss(predictions: mx.array, targets: mx.array, reduction: str = "none") -> mx.array:
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def hinge_loss(
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predictions: mx.array, targets: mx.array, reduction: str = "none"
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) -> mx.array:
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"""
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Computes the hinge loss between predictions and targets for binary classification tasks.
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@ -223,7 +225,12 @@ def hinge_loss(predictions: mx.array, targets: mx.array, reduction: str = "none"
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return _reduce(loss, reduction)
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def huber_loss(predictions: mx.array, targets: mx.array, delta: float = 1.0, reduction: str = "none") -> mx.array:
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def huber_loss(
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predictions: mx.array,
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targets: mx.array,
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delta: float = 1.0,
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reduction: str = "none",
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) -> mx.array:
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"""
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Computes the Huber loss, a robust loss function for regression tasks.
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@ -240,12 +247,14 @@ def huber_loss(predictions: mx.array, targets: mx.array, delta: float = 1.0, red
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error = mx.abs(predictions - targets)
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is_small_error = error < delta
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squared_loss = 0.5 * mx.square(error)
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linear_loss = delta * error - 0.5 * (delta ** 2)
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linear_loss = delta * error - 0.5 * (delta**2)
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loss = mx.where(is_small_error, squared_loss, linear_loss)
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return _reduce(loss, reduction)
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def dice_loss(inputs: mx.array, targets: mx.array, eps: float = 1e-6, reduction: str = "none") -> mx.array:
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def dice_loss(
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inputs: mx.array, targets: mx.array, eps: float = 1e-6, reduction: str = "none"
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) -> mx.array:
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"""
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Computes the Dice loss, useful for binary segmentation tasks.
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@ -261,11 +270,18 @@ def dice_loss(inputs: mx.array, targets: mx.array, eps: float = 1e-6, reduction:
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"""
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intersection = mx.sum(inputs * targets, axis=1) # Sum over the feature dimension
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union = mx.sum(inputs, axis=1) + mx.sum(targets, axis=1)
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dice_score = (2. * intersection + eps) / (union + eps)
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dice_score = (2.0 * intersection + eps) / (union + eps)
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loss = 1 - dice_score
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return _reduce(loss, reduction)
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def focal_loss(inputs: mx.array, targets: mx.array, alpha: float = 0.25, gamma: float = 2.0, reduction: str = "none") -> mx.array:
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def focal_loss(
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inputs: mx.array,
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targets: mx.array,
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alpha: float = 0.25,
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gamma: float = 2.0,
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reduction: str = "none",
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) -> mx.array:
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"""
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Computes the Focal loss, useful for handling class imbalance in binary classification tasks.
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@ -286,7 +302,13 @@ def focal_loss(inputs: mx.array, targets: mx.array, alpha: float = 0.25, gamma:
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return _reduce(loss, reduction)
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def contrastive_loss(embeddings1: mx.array, embeddings2: mx.array, targets: mx.array, margin: float = 1.0, reduction: str = "none") -> mx.array:
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def contrastive_loss(
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embeddings1: mx.array,
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embeddings2: mx.array,
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targets: mx.array,
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margin: float = 1.0,
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reduction: str = "none",
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) -> mx.array:
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"""
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Computes the Contrastive loss, useful for learning embeddings.
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@ -306,7 +328,14 @@ def contrastive_loss(embeddings1: mx.array, embeddings2: mx.array, targets: mx.a
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return _reduce(loss, reduction)
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def cosine_similarity_loss(embeddings1: mx.array, embeddings2: mx.array, targets: mx.array, eps: float=1e-8, margin: float=0.0, reduction: str = "none") -> mx.array:
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def cosine_similarity_loss(
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embeddings1: mx.array,
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embeddings2: mx.array,
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targets: mx.array,
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eps: float = 1e-8,
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margin: float = 0.0,
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reduction: str = "none",
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) -> mx.array:
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"""
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Computes the Cosine Similarity loss, useful for tasks where the angle between embeddings is important.
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@ -324,6 +353,10 @@ def cosine_similarity_loss(embeddings1: mx.array, embeddings2: mx.array, targets
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embeddings1_norm = mx.sqrt(mx.sum(mx.square(embeddings1), axis=1) + eps)
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embeddings2_norm = mx.sqrt(mx.sum(mx.square(embeddings2), axis=1) + eps)
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cos_similarity = mx.sum(embeddings1 * embeddings2, axis=1) / (embeddings1_norm * embeddings2_norm)
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loss = mx.where(targets == 1, 1 - cos_similarity, mx.maximum(0, cos_similarity - margin))
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cos_similarity = mx.sum(embeddings1 * embeddings2, axis=1) / (
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embeddings1_norm * embeddings2_norm
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)
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loss = mx.where(
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targets == 1, 1 - cos_similarity, mx.maximum(0, cos_similarity - margin)
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)
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return _reduce(loss, reduction)
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