Implement Triplet Loss for embedding ranking. This loss ensures that an anchor embedding is closer to a positive example than to a negative example by a margin.
Triplet Loss Formula:
Distance function:
d(x,y)=∥x−y∥22Triplet Loss:
L=max(0,d(a,p)−d(a,n)+m)where a=anchor, p=positive, n=negative, m=margin
anchor: array-like - Anchor embeddings (N, D) or (D,)positive: array-like - Positive embeddings (same class)negative: array-like - Negative embeddings (different class)margin: float = 1.0 - Margin parameter (m)Input: anchor=[[1,0]], positive=[[2,0]], negative=[[5,0]], margin=1.0
Output: 0.0
d(a,p)=1, d(a,n)=16 → max(0, 1-16+1) = 0
Input: anchor=[[0,0]], positive=[[3,0]], negative=[[1,0]], margin=1.0
Output: 8.0
d(a,p)=9, d(a,n)=1 → max(0, 9-1+1) = 9
Input: anchor=[1,0], positive=[2,0], negative=[5,0], margin=1.0
Output: 0.0
Single vectors (1D input) also supported
Compute squared Euclidean distance: np.sum() for batch processing.
Handle single vectors by reshaping.
Use np.maximum() to apply the max function element-wise.
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Implement Triplet Loss for embedding ranking. This loss ensures that an anchor embedding is closer to a positive example than to a negative example by a margin.
Triplet Loss Formula:
Distance function:
d(x,y)=∥x−y∥22Triplet Loss:
L=max(0,d(a,p)−d(a,n)+m)where a=anchor, p=positive, n=negative, m=margin
anchor: array-like - Anchor embeddings (N, D) or (D,)positive: array-like - Positive embeddings (same class)negative: array-like - Negative embeddings (different class)margin: float = 1.0 - Margin parameter (m)Input: anchor=[[1,0]], positive=[[2,0]], negative=[[5,0]], margin=1.0
Output: 0.0
d(a,p)=1, d(a,n)=16 → max(0, 1-16+1) = 0
Input: anchor=[[0,0]], positive=[[3,0]], negative=[[1,0]], margin=1.0
Output: 8.0
d(a,p)=9, d(a,n)=1 → max(0, 9-1+1) = 9
Input: anchor=[1,0], positive=[2,0], negative=[5,0], margin=1.0
Output: 0.0
Single vectors (1D input) also supported
Compute squared Euclidean distance: np.sum() for batch processing.
Handle single vectors by reshaping.
Use np.maximum() to apply the max function element-wise.
Sign in to take notes on this problem
Accepts: array
Accepts: array
Accepts: array
Accepts: number