← Mathematical compendium

Published equation contexts

t=0t=0

Why this formula appears here

All of θ\theta here is shared and randomly initialised at t=0 , and no term is held fixed while another is optimised. That is the formal content of “native”: contrast it with the modular recipe, where the vision and language terms are each minimised separately, over separate data, to convergence, long before the two are ever combined.

Read the full article-specific guide →

Read the representative guide

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

t=0t=0

Equation 8 · Foundation Models

Adapters, Native Pretraining, and Unified Tokens: The Main Multimodal Architectures, Compared

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

All of θ\theta here is shared and randomly initialised at t=0 , and no term is held fixed while another is optimised. That is the formal content of “native”: contrast it with the modular recipe, where the vision and language terms are each minimised separately, over separate data, to convergence, long before the two are ever combined.

Equation guide → · Article →