SIGNALAI·Jun 1, 2026, 4:00 AMSignal75Medium term

Wall-Clock Complexity for Zeroth-Order Optimization with Tunable Oracle Fidelity

Source: arXiv cs.LG

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Wall-Clock Complexity for Zeroth-Order Optimization with Tunable Oracle Fidelity

arXiv:2605.31346v1 Announce Type: cross Abstract: Zeroth-order (black-box) optimization is applied when gradients are unavailable and objective evaluations rely on expensive simulations. In many such applications, the oracle fidelity is tunable: higher-accuracy queries reduce noise but incur higher computational costs. To capture this trade-off, we study an accuracy-aware wall-clock model where each query with fidelity $\delta$ has a cost $c(\delta)$, and we minimize the total time $T_{\mathrm{total}} = \sum_{k=1}^{N} c(\delta_k)$, subject to a target accuracy constraint. We show how the choic

Why this matters
Why now

This research addresses the optimization of expensive, black-box simulations, a challenge increasingly prevalent in advanced AI and scientific computing, reflective of current computational limitations.

Why it’s important

The proposed method offers a way to significantly improve efficiency in AI training and complex system design where computational resources are a bottleneck, by optimizing the trade-off between query accuracy and computational cost.

What changes

Traditional optimization approaches often ignore the cost-accuracy trade-off of objective evaluations; this work introduces a framework to explicitly manage and minimize total 'wall-clock' time under accuracy constraints.

Winners
  • · AI/ML researchers
  • · High-performance computing (HPC) centers
  • · Industries relying on complex simulations (e.g., aerospace, pharmaceuticals)
  • · Cloud computing providers
Losers
  • · Organizations with inefficient computation infrastructure
  • · Methods relying solely on uniform-fidelity querying
Second-order effects
Direct

More efficient resource utilization for complex AI model training and scientific simulations.

Second

Accelerated discovery and development in fields heavily reliant on black-box optimization, potentially reducing R&D costs.

Third

Enhanced accessibility to complex AI and simulation tools for smaller entities by lowering effective computational barriers.

Editorial confidence: 85 / 100 · Structural impact: 55 / 100
Original report

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Read at arXiv cs.LG
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