GradMem: Learning to Write Context into Memory with Test-Time Gradient Descent

Transformers typically process long contexts by storing a large per-layer KV-cache of past activations. A desirable alternative is compressive memory: read a context once, store it in a compact state, and answer many queries from that state. We introduce GradMem, which writes context into memory via per-sample test-time optimization. Given a context, GradMem performs a few steps of gradient descent on a small set of prefix memory tokens while keeping model weights frozen. GradMem explicitly optimizes a model-level self-supervised context reconstruction loss, resulting in a loss-driven write operation with iterative error correction, unlike forward-only methods. On associative key-value retrieval, GradMem outperforms forward-only memory writers with the same memory size, and additional gradient steps scale capacity much more effectively than repeated forward writes.