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From Observation to Intervention: A Causal Audit of Expert Importance in Mixture-of-Experts Models

Leonard Engmann, Christian Medeiros Adriano, Holger Giese

cs.LGcs.CL
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#1286 of 5669 · cs.LG
Tournament Score
1461±44
10501750
67%
Win Rate
14
Wins
7
Losses
21
Matches
Rating
6.5/ 10
Significance6.5
Rigor8
Novelty6
Clarity8.5

Abstract

Interpretability methods routinely use population-level summary statistics over observed model behaviour to license claims about the effects of targeted interventions on specific computations; in Pearl's terms, they treat rung-1 associational evidence as if it supported rung-2 interventional conclusions, a move whose validity is rarely tested. We examine one concrete instance: the use of routing statistics in Mixture-of-Experts (MoE) pruning, where utilization rates, activation norms, and routing weight distributions are treated as predictors of which experts can be removed without functional cost. A token-level interventional audit across three high-redundancy MoE architectures (OLMoE-1B-7B-0924, Qwen1.5-MoE-A2.7B, DeepSeek-V2-Lite) finds no observational metric predicts causal expert importance after multiple-comparison correction in any model, with effect sizes below Cohen's d=0.17d = 0.17 across all 60 metric-layer combinations. A per-token routing weight control rules out insufficient power, recovering a single Bonferroni-significant signal at OLMoE's final MoE layer (d=+0.231d = +0.231, p=0.0013p = 0.0013). Existing pruning methods succeed in this regime not by identifying dispensable experts but because early-layer redundancy renders most selection criteria interchangeable. Our results provide an explicit counterexample to the common inferential step from population-level observational summaries to token-level interventional claims about expert importance, and illustrate how interventional audits can calibrate the evidential standards for interpretability claims.

AI Impact Assessments

(1 models)

Scientific Impact Assessment

Core Contribution

This paper tests a specific inferential assumption in MoE model pruning: that population-level observational routing statistics (utilization rate, activation norm, mean routing weight, activation standard deviation) predict the causal importance of individual experts at the token level. Framed through Pearl's causal hierarchy, the authors argue that the pruning literature conflates rung-1 (associational) evidence with rung-2 (interventional) claims. Through systematic token-level ablation experiments across three architectures (OLMoE-1B-7B, Qwen1.5-MoE-A2.7B, DeepSeek-V2-Lite), they find that no observational metric predicts causal expert importance after multiple-comparison correction, with universally small effect sizes (Cohen's d < 0.17 across 60 metric-layer combinations). The paper offers an alternative explanation for why pruning pipelines work: early-layer redundancy makes most expert selections approximately harmless, rendering the choice of selection criterion immaterial.

Methodological Rigor

The experimental design is notably careful for a workshop paper. Several features stand out:

Statistical discipline. The authors apply Bonferroni correction per model, require agreement between parametric (paired t-test) and non-parametric (Wilcoxon) tests, and report effect sizes throughout. This is substantially more rigorous than most ablation studies in the interpretability literature.

Control experiment. The per-token routing weight control is a well-designed positive control that bounds the available signal. By showing that token-conditioned routing weights can recover a signal (at OLMoE Layer 15), the authors rule out the possibility that their null result stems from insufficient statistical power or a flawed experimental setup.

Verification procedures. The four-test verification suite (Appendix B) checking cross-entropy alignment, hook clearing, position diversity, and position-specific ablation effects demonstrates attention to implementation correctness.

Limitations in rigor. The sample size of n=200 per cell, while sufficient to detect medium effects, may miss small but practically relevant effects. The authors partially address this through the routing weight control. However, the audit tests a specific operationalization of "metric validity" (Definition 2.1) that compares highest-ranked vs. lowest-ranked active experts at each token position. This is a reasonable but not unique formalization—one could test rank correlations across all active experts, or examine whether metrics predict importance ordinally rather than just at the extremes. The Spearman ρ values reported in the control tables are generally weak, supporting the null interpretation.

Potential Impact

For MoE pruning. The most direct impact is on the MoE compression community. The finding that pruning succeeds due to redundancy rather than metric accuracy is practically important—it suggests that researchers should focus on identifying the few critical layers/positions rather than refining expert-level selection criteria. This could redirect research effort away from developing more sophisticated observational metrics and toward understanding redundancy structure.

For interpretability methodology. The paper contributes to a growing body of work (following Jain & Wallace, 2019; Adebayo et al., 2020) questioning whether observational statistics about model internals support interventional claims. By adding a third concrete instance of this failure pattern, it strengthens the case for interventional validation as a standard practice.

For causal reasoning in ML. The explicit use of Pearl's hierarchy to frame interpretability claims is pedagogically valuable, though the mapping is more illustrative than formally developed. The paper does not provide conditions under which observational-to-interventional inference would succeed, limiting its theoretical contribution.

Timeliness & Relevance

The paper is well-timed. MoE architectures are increasingly prominent (DeepSeek-V3, Mixtral, etc.), and efficient deployment through pruning is a practical necessity. The interpretability community is simultaneously grappling with questions about evidential standards (the Joshi et al. 2026 reference suggests this is an active conversation). The work sits at the intersection of these two trends.

Strengths

1. Clean experimental design with appropriate controls and corrections—a model for ablation-based audits.

2. Cross-architecture replication spanning meaningfully different design choices (shared experts, different top-k ratios, different training procedures).

3. Constructive explanation via progressive ablation: the redundancy regime provides a mechanistic account of why null metrics coexist with successful pruning pipelines.

4. Intellectual honesty in scope claims: the authors carefully distinguish the general null from the narrow OLMoE late-layer finding, and explicitly state what their audit does and does not show about deployed pruning pipelines.

5. Redistribution analysis (Appendix A.3) adds depth by tracing the signal chain from router to logits.

Limitations

1. Scope restriction to high-redundancy architectures. The paper acknowledges this but does not test low-redundancy models (Switch, Mixtral-8x7B), where observational metrics might be more valid. This limits generalizability.

2. Token-level vs. global pruning. Deployed pruning makes global one-shot decisions followed by fine-tuning. The token-level null is important but does not directly address whether population-aggregated metrics work for the intended use case of global expert removal.

3. Sample size and corpus. WikiText-2 test split is a standard but narrow evaluation corpus. Results on diverse domains (code, math, multilingual) might differ.

4. No alternative metric proposed. The paper identifies a problem but offers no constructive replacement, though this is appropriate for a workshop paper.

5. Three models. While spanning key design axes, three models provide limited statistical power for cross-architecture conclusions about the OLMoE late-layer effect.

Overall Assessment

This is a well-executed negative-result paper that makes a focused but important contribution: demonstrating that a widely-used inferential step in MoE pruning does not survive interventional testing. The statistical rigor exceeds the norm for this type of work. The main limitation is the gap between the token-level audit and deployed pruning pipelines, though the paper is transparent about this. As a workshop paper, it establishes a clear finding and methodology that merits full-paper development with expanded model coverage and alternative metric proposals.

Rating:6.5/ 10
Significance 6.5Rigor 8Novelty 6Clarity 8.5

Generated Jun 10, 2026

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