Identifying Interactions at Scale for LLMs
This Berkeley BAIR post introduces SPEX and ProxySPEX, algorithms designed to identify influential interactions in large machine learning systems, including large language models, at scale. It frames the work within interpretability research, which seeks to make model decision-making more transparent for safer and more trustworthy AI. The core challenge is that the number of possible interactions grows exponentially, making exhaustive analysis infeasible, so SPEX uses ideas from signal processing and coding theory to find the small set of interactions that truly drive behavior.
Key Takeaways
- Interpretability research aims to make model decision-making more transparent, a step toward safer and more trustworthy AI.
- The post discusses three lenses: feature attribution, data attribution, and mechanistic interpretability.
- Model behavior emerges from complex dependencies, so methods must capture influential interactions, not just isolated components.
- As features, data points, and components grow, potential interactions grow exponentially, making exhaustive analysis infeasible.
- The approach centers on ablation, measuring influence by observing what changes when a component is removed.
- SPEX exploits sparsity and low-degreeness to reframe interaction discovery as a solvable sparse recovery problem.

The interpretability challenge
Understanding complex ML systems, especially LLMs, is a critical challenge.
- ›Interpretability aims to make decision-making transparent for model builders and impacted people.
- ›Feature attribution isolates the input features driving a prediction.
- ›Data attribution links model behaviors to influential training examples.
- ›Mechanistic interpretability dissects the functions of internal components.
Across these perspectives, the post says the same hurdle persists: complexity at scale. Behavior is rarely the result of isolated components and instead emerges from complex dependencies and patterns.
Why interactions matter
- ›Models synthesize complex feature relationships and shared patterns across diverse training examples.
- ›Information flows through highly interconnected internal components.
- ›Grounded interpretability methods must capture influential interactions.
The number of potential interactions grows exponentially with features, training points, and components, which makes exhaustive analysis computationally infeasible.
Attribution through ablation
Ablation measures influence by observing what changes when a component is removed.
- ›Feature attribution: mask or remove segments of the input prompt and measure the shift in predictions.
- ›Data attribution: train on different subsets and assess how a test point's output shifts without specific training data.
- ›Model component attribution: intervene on the forward pass to remove specific internal components and see which drive the prediction.
Because each ablation is costly, through expensive inference calls or retraining, the goal is to compute attributions with the fewest possible ablations.
The SPEX framework
SPEX stands for Spectral Explainer.
- ›It draws on signal processing and coding theory to scale interaction discovery far beyond prior methods.
- ›It exploits the observation that the number of influential interactions is actually small.
- ›It formalizes this through sparsity and low-degreeness.
These properties let SPEX reframe a difficult search as a solvable sparse recovery problem. SPEX uses strategically selected ablations to combine many candidate interactions, then uses efficient decoding algorithms to disentangle the combined signals and isolate the interactions responsible for the behavior.
Key structural assumptions
- ›Sparsity: relatively few interactions truly drive the output.
- ›Low-degreeness: influential interactions typically involve only a small subset of features.
- ›These assumptions make the search tractable with a limited number of ablations.
Frequently Asked Questions
What problem do SPEX and ProxySPEX address?
They identify influential interactions in complex ML systems, including LLMs, at scale, where the number of possible interactions grows exponentially.
What is ablation in this context?
Ablation measures influence by observing what changes when a component, such as an input segment, training subset, or internal component, is removed.
What does SPEX stand for?
SPEX stands for Spectral Explainer, a framework drawing on signal processing and coding theory.
What assumptions make the approach tractable?
Sparsity, that few interactions truly drive output, and low-degreeness, that influential interactions involve only a small subset of features.
Why is minimizing ablations important?
Each ablation is costly through expensive inference calls or retraining, so the goal is to compute attributions with the fewest possible ablations.
SPEX and ProxySPEX reframe large-scale interaction discovery as a sparse recovery problem, using ablation and coding-theory tools to find the few interactions that drive model behavior.
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