Latent Space Interpolation Tool

Build a tool for exploring latent space interpolation in embeddings.

## Embedding Model
{{embedding_model}}

## Use Cases
{{use_cases}}

## Exploration Goals
{{exploration_goals}}

Implement interpolation tools:

```python
class LatentSpaceExplorer:
    def linear_interpolation(self, start: np.ndarray, end: np.ndarray, steps: int) -> List[np.ndarray]:
        """Linear interpolation between points"""
        pass
    
    def slerp(self, start: np.ndarray, end: np.ndarray, steps: int) -> List[np.ndarray]:
        """Spherical linear interpolation"""
        pass
    
    def find_nearest_documents(self, point: np.ndarray, k: int) -> List[Document]:
        """Find documents near interpolated point"""
        pass
    
    def visualize_path(self, path: List[np.ndarray]) -> plt.Figure:
        """Visualize interpolation in reduced dimensions"""
        pass
```

Applications:
- Semantic gradients exploration
- Concept blending
- Gap analysis in corpus