ZIP: Scalable Crowd Counting via Zero-Inflated Poisson Modeling

Fuente: arXiv
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Hauptverfasser: Ma, Yiming, Sanchez, Victor, Guha, Tanaya
Format: Preprint
Veröffentlicht: 2025
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author Ma, Yiming
Sanchez, Victor
Guha, Tanaya
author_facet Ma, Yiming
Sanchez, Victor
Guha, Tanaya
contents Most crowd counting methods directly regress blockwise density maps using Mean Squared Error (MSE) losses. This practice has two key limitations: (1) it fails to account for the extreme spatial sparsity of annotations - over 95% of 8x8 blocks are empty across standard benchmarks, so supervision signals in informative regions are diluted by the predominant zeros; (2) MSE corresponds to a Gaussian error model that poorly matches discrete, non-negative count data. To address these issues, we introduce ZIP, a scalable crowd counting framework that models blockwise counts with a Zero-Inflated Poisson likelihood: a zero-inflation term learns the probability a block is structurally empty (handling excess zeros), while the Poisson component captures expected counts when people are present (respecting discreteness). We provide a generalization analysis showing a tighter risk bound for ZIP than MSE-based losses and DMCount provided that the training resolution is moderately large. To assess the scalability of ZIP, we instantiate it on backbones spanning over 100x in parameters/compute. Experiments on ShanghaiTech A & B, UCF-QNRF, and NWPU-Crowd demonstrate that ZIP consistently surpasses state-of-the-art methods across all model scales.
format Preprint
id arxiv_https___arxiv_org_abs_2506_19955
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ZIP: Scalable Crowd Counting via Zero-Inflated Poisson Modeling
Ma, Yiming
Sanchez, Victor
Guha, Tanaya
Computer Vision and Pattern Recognition
Most crowd counting methods directly regress blockwise density maps using Mean Squared Error (MSE) losses. This practice has two key limitations: (1) it fails to account for the extreme spatial sparsity of annotations - over 95% of 8x8 blocks are empty across standard benchmarks, so supervision signals in informative regions are diluted by the predominant zeros; (2) MSE corresponds to a Gaussian error model that poorly matches discrete, non-negative count data. To address these issues, we introduce ZIP, a scalable crowd counting framework that models blockwise counts with a Zero-Inflated Poisson likelihood: a zero-inflation term learns the probability a block is structurally empty (handling excess zeros), while the Poisson component captures expected counts when people are present (respecting discreteness). We provide a generalization analysis showing a tighter risk bound for ZIP than MSE-based losses and DMCount provided that the training resolution is moderately large. To assess the scalability of ZIP, we instantiate it on backbones spanning over 100x in parameters/compute. Experiments on ShanghaiTech A & B, UCF-QNRF, and NWPU-Crowd demonstrate that ZIP consistently surpasses state-of-the-art methods across all model scales.
title ZIP: Scalable Crowd Counting via Zero-Inflated Poisson Modeling
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2506.19955