Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 201

The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.

Higher Order Conditional Random Fields in Deep Neural Networks

Open access
Arnab, Anurag, Jayasumana, Sadeep, Zheng, Shuai, Torr, Philip H. S.·2016·Lecture Notes in Computer Science

Abstract

We address the problem of semantic segmentation using deep learning. Most segmentation systems include a Conditional Random Field (CRF) to produce a structured output that is consistent with the image's visual features. Recent deep learning approaches have incorporated CRFs into Convolutional Neural Networks (CNNs), with some even training the CRF end-to-end with the rest of the network. However, these approaches have not employed higher order potentials, which have previously been shown to significantly improve segmentation performance. In this paper, we demonstrate that two types of higher order potential, based on object detections and superpixels, can be included in a CRF embedded within a deep network. We design these higher order potentials to allow inference with the differentiable mean field algorithm. As a result, all the parameters of our richer CRF model can be learned end-to-end with our pixelwise CNN classifier. We achieve state-of-the-art segmentation performance on the PASCAL VOC benchmark with these trainable higher order potentials.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1007/978-3-319-46475-6_33

Cites

7 of 7 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 7 references

Cited by

See all 201

Metadata

Authors
Arnab, A., Jayasumana, S., Zheng, S., & Torr, P. H. S.
Venue
Lecture Notes in Computer Science
Published
2016
Pages
524-540
ISSN
  • 0302-9743 (ISSN-L)
  • 1611-3349
OpenAlex
W2346810359
Cited by
201
References
7
FWCI
13.63
Type
conference paper
Language
en
Open access
green

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Higher Order Conditional Random Fields in Deep Neural Networks. https://app.cochat.ai/papers/10.1007/978-3-319-46475-6_33
The paper
Arnab, A., Jayasumana, S., Zheng, S., & Torr, P. H. S. (2016). Higher Order Conditional Random Fields in Deep Neural Networks. Lecture Notes in Computer Science. https://doi.org/10.1007/978-3-319-46475-6_33

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.