# Statistical Inference of the Inter-sample Dice Distribution for Discriminative CNN Brain Lesion Segmentation Models

### Kevin Raina

#### Abstract

Discriminative convolutional neural networks (CNNs), for which a voxel-wise conditional Multinoulli distribution is assumed, have performed well in many brain lesion segmentation tasks. For a trained discriminative CNN to be used in clinical practice, the patientâ€™s radiological features are inputted into the model, in which case a conditional distribution of segmentations is produced. Capturing the uncertainty of the predictions can be useful in deciding whether to abandon a model, or choose amongst competing models. In practice, however, we never know the ground truth segmentation, and therefore can never know the true model variance. In this work, segmentation sampling on discriminative CNNs is used to assess a trained modelâ€™s robustness by analyzing the inter-sample Dice distribution on a new patient solely based on their magnetic resonance (MR) images. Furthermore, by demonstrating the inter-sample Dice observations are independent and identically distributed with a finite mean and variance under certain conditions, a rigorous confidence based decision rule is proposed to decide whether to reject or accept a CNN model for a particular patient. Applied to the ISLES 2015 (SISS) dataset, the model identified 7 predictions as non-robust, and the average Dice coefficient calculated on the remaining brains improved by 12 percent.

Download#### Paper Citation

#### in Harvard Style

Raina K. (2021). **Statistical Inference of the Inter-sample Dice Distribution for Discriminative CNN Brain Lesion Segmentation Models**.In *Proceedings of the 14th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 1: BIOIMAGING,* ISBN 978-989-758-490-9, pages 168-173. DOI: 10.5220/0010286201680173

#### in Bibtex Style

@conference{bioimaging21,

author={Kevin Raina},

title={Statistical Inference of the Inter-sample Dice Distribution for Discriminative CNN Brain Lesion Segmentation Models},

booktitle={Proceedings of the 14th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 1: BIOIMAGING,},

year={2021},

pages={168-173},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0010286201680173},

isbn={978-989-758-490-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 14th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 1: BIOIMAGING,

TI - Statistical Inference of the Inter-sample Dice Distribution for Discriminative CNN Brain Lesion Segmentation Models

SN - 978-989-758-490-9

AU - Raina K.

PY - 2021

SP - 168

EP - 173

DO - 10.5220/0010286201680173