---
markdown_generated_at: "2026-10-14"
title: "Probabilistic Numeric Convolutional Neural Networks"
url: "https://www.qualcomm.com/research/artificial-intelligence/papers-with-code/paper-4"
description: "Check out this fascinating paper on Probabilistic Numerics: Employ AI Gaussian Processes for optimizing CNNs. A must-read today."
canonicalUrl: "https://www.qualcomm.com/research/artificial-intelligence/papers-with-code/paper-4"
---

# Probabilistic Numeric Convolutional Neural Networks

PAPER 4

Marc Finzi (NYU),
Roberto Bondesan (Qualcomm AI Research*),
Max Welling (formerly Qualcomm AI Research)

ICLR 2021

![](https://s7d1.scene7.com/is/image/dmqualcommprod/papers-w-code-paper-4_0?$QC_Responsive$&fmt=png-alpha)

## Summary

Continuous input signals (e.g., images and time series) that are irregularly sampled or have missing values are challenging for existing deep learning methods. Probabilistic Numeric Convolutional Neural Networks proposes another advanced type of CNN. This CNN borrows concepts from probabilistic numeric theory and represents features as Gaussian processes, providing a probabilistic description of discretization error.

[![](https://s7d1.scene7.com/is/image/dmqualcommprod/document-icon-v2_2?$QC_Responsive$&fmt=png-alpha) Paper](https://openreview.net/pdf?id=T1XmO8ScKim)

[![](https://s7d1.scene7.com/is/image/dmqualcommprod/code-icon_2?$QC_Responsive$&fmt=png-alpha) Code](https://github.com/Qualcomm-AI-research/ProbabilisticNumericCNNs)

## Citation

*@article{finzi2020probabilistic, title={Probabilistic numeric convolutional neural networks}, author={Finzi, Marc and Bondesan, Roberto and Welling, Max}, journal={arXiv preprint arXiv:2010.10876}, year={2020}}*

## Results

The solution shows a 3x reduction error on computer vision tasks from the previous state-of-the-art results on a benchmark dataset.

[Watch TWiML Interview on Probabilistic Numeric CNNs with Roberto Bondesan](https://www.youtube.com/watch?v=nZ2OPK3TCvI&feature=youtu.be)

## Looking for more papers with code?

[View all papers](https://www.qualcomm.com/research/artificial-intelligence/papers-with-code)

\* Qualcomm AI Research is an initiative of Qualcomm Technologies, Inc.