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Differentiable Factor Graph Optimization for Learning Smoothers

Brent Yi, Michelle A. Lee, Alina Kloss, Roberto Martin-Martin, Jeannette BohgPublished Sep 27, 2021
DOI Publisher
Researcher verdict
Context only
Use as context only
Benchmark evidence
Missing
Not verified yet
Time to first repro
A few days
Plan setup time
Risk flags
1
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Abstract

Domain fit: AI-adjacent · Paper appears method- or tooling-adjacent to AI workflows with partial ecosystem coverage.

A recent line of work has shown that end-to-end optimization of Bayesian filters can be used to learn state estimators for systems whose underlying models are difficult to hand-design or tune, while retaining the core advantages of probabilistic state estimation. As an alternative approach for state estimation in these settings, we present an end-to-end approach for learning state estimators modeled as factor graph-based smoothers. By unrolling the optimizer we use for maximum a posteriori inference in these probabilistic graphical models, our method is able to learn probabilistic system models in the full context of an overall state estimator, while also taking advantage of the distinct accuracy and runtime advantages that smoothers offer over recursive filters. We study our approach using two fundamental state estimation problems, object tracking and visual odometry, where we demonstrate a significant improvement over existing baselines. Our work comes with an extensive code release, which includes training and evaluation scripts, as well as Python libraries for Lie theory and factor graph optimization: https://sites.google.com/view/diffsmoothing/.

Results and benchmarks

Freshness tier: cold
A recent line of work has shown that end-to-end optimization of Bayesian filters can be used to learn state estimators for systems whose underlying models are difficult to hand-design or tune, while retaining the core advantages of probabilistic state estimation.

Implementation

No direct implementation yet

Maintained implementation evidence is not confirmed for this paper yet.

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Implementation evidence summary
Confidence: low

brentyi/dfgo is the closest maintained adjacent implementation (Matches contextual method/domain keyword: factor graph). It is not paper-verified; validate algorithm and evaluation setup against the paper before trusting reported metrics. Community adoption signal: 97 GitHub stars.

Reproduction risks
  • Adjacent implementations are not paper-verified
  • Recommended repository is adjacent and not paper-verified.
  • Adjacent implementation match confidence is low.

Reproduction readiness

Time to first repro: days
Last checked: Aug 23, 2026

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No verified implementation available

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Hardware requirements

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Framework baselines

Repositories and ecosystem

Closest related implementations

These are not paper-verified. Use them as reference points when no direct implementation is available.

  • brentyi/dfgo Adjacent · Confidence: Low · 97 stars

    Matches contextual method/domain keyword: factor graph

  • deep-spin/lp-sparsemap Adjacent · Confidence: Low · 41 stars

    Matches contextual method/domain keyword: factor graph

No additional verified repositories beyond the primary recommendation.

Hugging Face artifacts

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Research context

24

Citations

54

References

Tasks

Factor graph, Computer science, Probabilistic logic, Estimator, Maximum a posteriori estimation, Theoretical computer science, Engineering, Aerospace Engineering

Methods

Graphical model, Mathematical optimization, Algorithm

Domains

Artificial intelligence, Machine learning

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