---
title: "符合化自适应速率传感：确保高概率重建误差低于目标水平"
source: "arXiv AI/CL/LG（论文）"
source_tier: "t2"
url: "https://arxiv.org/abs/2607.26887v1"
permalink: "https://feed.astralor.com/items/itm_fb632648009c9c4eb3dfddd7"
published: "2026-07-29T13:16:27.000Z"
score: 76
channel: "finance"
tags: ["CoRAS","压缩感知","图像重建","成像系统","符合化预测","自适应传感"]
---

# 符合化自适应速率传感：确保高概率重建误差低于目标水平

## AI 点评

> 这篇论文巧妙地将符合化预测应用于成像系统的自适应停止问题，既保证了统计严谨性又兼顾了实用性。对于从事医学影像、遥感或任何资源受限的压缩感知从业者来说，这是一个直接可用的框架。值得关注的是其如何利用早期重构行为进行校准，思路类似“早期退出”但更可靠。

## 速览

本文提出符合化自适应速率传感（CoRAS）方法，解决高分辨率成像系统中“何时采集足够数据”的核心问题。CoRAS利用符合化预测，针对每张图像自适应选择采集或压缩速率，在保持重建误差低于目标水平的同时，实现高概率保证。它通过早期重建行为校准停止时间上界，并在图像数据集上验证了目标覆盖率、更少的平均测量次数，并为更难重建的图像分配更多测量。

## 关键点

- CoRAS通过符合化预测为每张图像自适应确定采集速率，保证重建误差低于目标值。
- 利用早期重建路径估计停止时间，并通过相似图像集校准，提供边界覆盖保证。
- 在图像数据集上实现目标覆盖，平均测量次数少于固定速率规则，且为困难图像分配更多测量。

## 全文

Many high-resolution imaging systems face the same fundamental question: when have enough measurements been collected to reconstruct an image accurately? We develop Conformalized Rate-Adaptive Sensing (CoRAS), a method that adaptively chooses an acquisition or compression rate for each image while keeping the reconstruction error below a target level with high probability. As measurements are collected, an image reconstruction model gradually recovers the true image, producing a reconstruction path over acquisition rates. CoRAS uses this path up to an early decision time to estimate the target stopping time, defined as the first time at which the reconstruction error falls below the target level. It then calibrates this estimate using images with similar early reconstruction behavior, producing an upper bound on the stopping time with marginal and approximate conditional coverage guarantees. Experiments on image datasets show that CoRAS attains the target stopping-time coverage, uses fewer measurements on average than fixed-rate stopping rules, and assigns more measurements to images that are harder to reconstruct.

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引用前请核对原文;本文由星际流动整理:https://feed.astralor.com/items/itm_fb632648009c9c4eb3dfddd7