arXiv AI

How Much Can Repeated Running Buy? A Measured Variance Ceiling for LLM Code Evaluation

arXiv Machine Learning
Oct 19

Sample, Mix, or Verify? Allocating Test-Time Compute under Imperfect Verifiers

The paper introduces SPLIT, a method that optimally allocates test‑time compute among sampling, model selection, and verification for language models and agents. Using an exact probability formula that accounts for task difficulty, shared blind spots, and verifier correlations, SPLIT is fitted via empirical Bayes on a small labeled pilot and then used to plan budgets for unseen tasks. Across seven diverse benchmarks, 26 models, and six verifier types, SPLIT achieves near‑optimal performance, outperforming rule‑based baselines by up to 2.5 percentage points and providing insights into when additional LLM judges reduce precision.

By Srinivasan Iyengar
arXiv AI
Sep 24

Ask Which, Not How Good: Sizing Benchmarks Scored by an LLM

The study analyzes 373,019 judgments from LLM‑scored benchmarks, decomposing variance into system, item, judge, and interaction components via generalizability theory. It finds that with a single judge, generalizability converges to a ceiling determined by the system‑by‑judge variance, which is substantially lower in pairwise preference settings, allowing one judge to suffice. The research also reveals significant biases in presentation order and highlights that many published win‑rate claims fall below the measured floor of the benchmarks.

By Atul Anand
arXiv Machine Learning
Sep 18

Sample Count Is Not Enough: Candidate-Generation Strategy Shapes the Energy and Performance of LLM Test-Time Scaling

The paper demonstrates that the number of candidates generated during test-time scaling of large language models does not fully capture the system cost. By comparing different generation schedules (e.g., one batched call versus multiple serial calls) while keeping the total candidate count fixed, the authors show that serial calls consume significantly more GPU energy and latency. The study suggests that reporting candidate count alone is insufficient; evaluations should also include generation schedule and GPU-level metrics.

By Mobina Kashaniyan, Ali Jannesari
arXiv Machine Learning
Oct 3

Adapter Thickets: Splitting an RLVR Budget Beats Concentrating It

The paper investigates how reinforcement learning with verifiable rewards (RLVR) interacts with majority voting over sampled completions, a common test‑time scaling technique. It shows that training a single LoRA adapter with the full RLVR budget can improve single‑sample accuracy but often harms the overall majority‑vote performance because the policy’s errors become increasingly correlated. By splitting the same training budget across multiple adapters—each trained on a disjoint shard, forming an "adapter thicket"—the authors demonstrate that this approach consistently out‑votes the fully trained single adapter and preserves most of the single‑sample gains, especially when the number of votes is large.

By Jonathan Williams, Esin Tureci Karthik R. Narasimhan