arXiv AI

When is a better LLM worth paying for? Stochastic Optimization with Switching Mixed-Fidelity Oracles

The paper investigates when it is worthwhile to pay for higher‑fidelity large language models (LLMs) in stochastic optimization tasks. It introduces two cost‑aware algorithmic frameworks that adaptively switch between mixed‑fidelity first‑order oracles, one for known bias and one for unknown bias, and demonstrates that these methods can reduce cumulative cost while maintaining accuracy. Experiments with synthetic data and LLM completions confirm that the adaptive policies skip expensive oracles and achieve comparable performance to fixed high‑fidelity approaches.

arXiv Machine Learning
Oct 5

Online Verification of Language Model Responses Under Cost Constraints

The paper introduces OMVV, an online multi-verifier algorithm that maintains a pool of weak verifiers with varying costs and performance. It adaptively selects a verifier each round using an online score combiner and exponential-weights routing, providing distribution-free guarantees on false-accept and false-reject rates. Experiments on reasoning benchmarks show OMVV achieves higher accuracy at lower verification cost than any single fixed verifier across different budgets.

By Erfan Hajihashemi, Yanning Shen
arXiv AI
Jun 10

Learning What to Remember: Observability-Safe Memory Retention via Constrained Optimization for Long-Horizon Language Agents

arXiv:2606. 10616v1 Announce Type: new Abstract: Long-horizon language agents accumulate observations, reasoning traces, and retrieved facts that exceed their finite context windows, making memory retention a fundamental resource-allocation problem.

By Qingcan Kang, Liu Mingyang, Shixiong Kai, Kaichao Liang, Tao Zhong, Mingxuan Yuan