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Cited by 432

The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.

Bayesian Poisson regression for crowd counting

Chan, Antoni B, Vasconcelos, Nuno·2009·2009 IEEE 12th International Conference on Computer Vision

Abstract

Poisson regression models the noisy output of a counting function as a Poisson random variable, with a log-mean parameter that is a linear function of the input vector. In this work, we analyze Poisson regression in a Bayesian setting, by introducing a prior distribution on the weights of the linear function. Since exact inference is analytically unobtainable, we derive a closed-form approximation to the predictive distribution of the model. We show that the predictive distribution can be kernelized, enabling the representation of non-linear log-mean functions. We also derive an approximate marginal likelihood that can be optimized to learn the hyperparameters of the kernel. We then relate the proposed approximate Bayesian Poisson regression to Gaussian processes. Finally, we present experimental results using Bayesian Poisson regression for crowd counting from low-level features.

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Metadata

Authors
Chan, A. B., & Vasconcelos, N.
Venue
2009 IEEE 12th International Conference on Computer Vision
Publisher
IEEE
Published
2009-09
Pages
545-551
OpenAlex
W2541389513
Cited by
432
References
15
FWCI
3.53
Type
conference paper
Language
en
Open access
closed

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CoChat. (2026). Citation check: Bayesian Poisson regression for crowd counting. https://app.cochat.ai/papers/10.1109/iccv.2009.5459191
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Chan, A. B., & Vasconcelos, N. (2009). Bayesian Poisson regression for crowd counting. 2009 IEEE 12th International Conference on Computer Vision. https://doi.org/10.1109/iccv.2009.5459191

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