Slow Perception: Let's Perceive Geometric Figures Step-by-step

Fuente: arXiv
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Main Authors: Wei, Haoran, Yin, Youyang, Li, Yumeng, Wang, Jia, Zhao, Liang, Sun, Jianjian, Ge, Zheng, Zhang, Xiangyu, Jiang, Daxin
Format: Preprint
Published: 2024
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author Wei, Haoran
Yin, Youyang
Li, Yumeng
Wang, Jia
Zhao, Liang
Sun, Jianjian
Ge, Zheng
Zhang, Xiangyu
Jiang, Daxin
author_facet Wei, Haoran
Yin, Youyang
Li, Yumeng
Wang, Jia
Zhao, Liang
Sun, Jianjian
Ge, Zheng
Zhang, Xiangyu
Jiang, Daxin
contents Recently, "visual o1" began to enter people's vision, with expectations that this slow-thinking design can solve visual reasoning tasks, especially geometric math problems. However, the reality is that current LVLMs (Large Vision Language Models) can hardly even accurately copy a geometric figure, let alone truly understand the complex inherent logic and spatial relationships within geometric shapes. We believe accurate copying (strong perception) is the first step to visual o1. Accordingly, we introduce the concept of "slow perception" (SP), which guides the model to gradually perceive basic point-line combinations, as our humans, reconstruct complex geometric structures progressively. There are two-fold stages in SP: a) perception decomposition. Perception is not instantaneous. In this stage, complex geometric figures are broken down into basic simple units to unify geometry representation. b) perception flow, which acknowledges that accurately tracing a line is not an easy task. This stage aims to avoid "long visual jumps" in regressing line segments by using a proposed "perceptual ruler" to trace each line stroke-by-stroke. Surprisingly, such a human-like perception manner enjoys an inference time scaling law -- the slower, the better. Researchers strive to speed up the model's perception in the past, but we slow it down again, allowing the model to read the image step-by-step and carefully.
format Preprint
id arxiv_https___arxiv_org_abs_2412_20631
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Slow Perception: Let's Perceive Geometric Figures Step-by-step
Wei, Haoran
Yin, Youyang
Li, Yumeng
Wang, Jia
Zhao, Liang
Sun, Jianjian
Ge, Zheng
Zhang, Xiangyu
Jiang, Daxin
Computer Vision and Pattern Recognition
Recently, "visual o1" began to enter people's vision, with expectations that this slow-thinking design can solve visual reasoning tasks, especially geometric math problems. However, the reality is that current LVLMs (Large Vision Language Models) can hardly even accurately copy a geometric figure, let alone truly understand the complex inherent logic and spatial relationships within geometric shapes. We believe accurate copying (strong perception) is the first step to visual o1. Accordingly, we introduce the concept of "slow perception" (SP), which guides the model to gradually perceive basic point-line combinations, as our humans, reconstruct complex geometric structures progressively. There are two-fold stages in SP: a) perception decomposition. Perception is not instantaneous. In this stage, complex geometric figures are broken down into basic simple units to unify geometry representation. b) perception flow, which acknowledges that accurately tracing a line is not an easy task. This stage aims to avoid "long visual jumps" in regressing line segments by using a proposed "perceptual ruler" to trace each line stroke-by-stroke. Surprisingly, such a human-like perception manner enjoys an inference time scaling law -- the slower, the better. Researchers strive to speed up the model's perception in the past, but we slow it down again, allowing the model to read the image step-by-step and carefully.
title Slow Perception: Let's Perceive Geometric Figures Step-by-step
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2412.20631