Representing Model Weights with Language using Tree Experts

The increasing availability of public models begs the question: can we train neural networks that use other networks as input? This paper learns to represent models within a joint space that embeds both model weights and language. However, machine learning on model weights is challenging as model weights often exhibit significant variation unrelated to the models' semantic properties (nuisance variation). We identify a key property of real-world models: most public models belong to a small set of Model Trees, where all models within a tree are fine-tuned from a common ancestor (e.g., a foundation model). Importantly, we find that within each tree there is less nuisance variation between models. For example, while classifying models according to their training dataset generally requires complex architectures, in our case, even a linear classifier trained on a single layer is often effective. While effective, linear layers are computationally expensive as model weights are very high dimensional. To address this, we introduce Probing Experts (ProbeX), a theoretically motivated, lightweight probing method. Notably, ProbeX is the first probing method designed to learn from the weights of just a single model layer. We also construct and release a dataset that simulates the structure of public model repositories. Our results show that ProbeX can effectively map the weights of large models into a shared weight-language embedding space. Furthermore, we demonstrate the impressive generalization of our method, achieving zero-shot model classification and retrieval.