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Capturing long‑range dependencies in Cartridge parameters Z

Develop a method to encode long‑range, order‑dependent relationships from a corpus C into the Cartridge parameters Z—trainable key–value cache vectors attached to the frozen large language model—so that the augmented model can reason over and retrieve dependencies spanning distant sections of C.

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Background

The authors formalize requirements for Cartridges to match in-context learning behavior, including the need to capture long-range dependencies present in the corpus. Many tasks require understanding the order and relationships of information across distant parts of a document, which typical compression methods often degrade.

They explicitly note that it is not clear how to encode such dependencies into the Cartridge parameters Z, highlighting a focused technical challenge distinct from generality or composition.

References

Z should also capture long range dependencies contained within C. In many settings, correctly answering different q \in Q requires reasoning about the order of information presented in C. It is not clear how to capture these dependencies in Z.

Cartridges: Lightweight and general-purpose long context representations via self-study (2506.06266 - Eyuboglu et al., 6 Jun 2025) in Section 3.1, Formalizing Cartridges (Desiderata)