feat: Add Geometric Sparse Attention (AETHER)#134
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teerthsharma wants to merge 1 commit intogoogle-deepmind:mainfrom
Open
feat: Add Geometric Sparse Attention (AETHER)#134teerthsharma wants to merge 1 commit intogoogle-deepmind:mainfrom
teerthsharma wants to merge 1 commit intogoogle-deepmind:mainfrom
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Implements GeometricSparseAttention layer with Cauchy-Schwarz block scoring for sub-linear attention complexity. Includes full named-axis support, adaptive thresholding, and comprehensive tests.
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Summary
This PR adds
GeometricSparseAttention, a new modular layer that enables data-dependent sparse attention using geometric upper bounds.Unlike static sparse patterns (e.g., Sliding Window, BigBird), this layer uses AETHER (Adaptive Event-driven Threshold Hybrid Entangled Rendering) logic to dynamically prune blocks at runtime based on the Cauchy-Schwarz inequality.
Mathematical Guarantee
The pruning is safe because it relies on the geometric upper bound:
$$\max_{k \in B} (q \cdot k) \le q \cdot \mu_B + |q| \cdot r_B$$ $\tau$ , the entire block $B$ can be skipped with mathematical certainty that no high-scoring keys exist within it.
If this upper bound is below the threshold
Key Features
pz.select().at_instances_of(pz.nn.Attention).apply(...).epsilonandphistate parameters that self-tune the sparsity level based on input entropy.NamedArrayand Treescope visualization.Verification
tests/nn/geometric_attention_test.pywith 13 comprehensive tests.jit,vmap) work correctly.