Transformer text generation may never converge, but temperature ensures it

For a wide class of multi-layer transformers, the authors prove there exists a temperature above which generation converges to a unique distribution, though no single temperature works for all models.

Big Tech
Katy Blumer · Da-Cheng Juan · Jon Kleinberg · Ravi Kumar · Cyrus Rashtchian · Andrew Tomkins

Google Research

Research Digest··3 min read
The authors study the asymptotic behavior of autoregressive transformers generating text indefinitely.

The authors analyze the long-term generation process of autoregressive transformers as the number of generated tokens tends to infinity.

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Within a broad fixed-depth transformer class, sufficiently high model-specific softmax temperature guarantees long-run cache convergence, while lower temperatures can permit persistent nonconvergence.

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