Differentiable Factor Graph Optimization for Learning Smoothers
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
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.
Benchmark evidence is limited
Evidence graph: 3 refs, 3 links.
Utility signals: depth 70/100, grounding 75/100, status medium.
Implementation
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Time to first repro: a few days
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.
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Reproduction readiness
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Hardware requirements
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Validation caveat
Framework baselines
- PyTorch Adam optimizer docs
Reference implementation of Adam in PyTorch.
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JAX/Flax baseline for Adam variants.
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TensorFlow/Keras baseline for Adam.
Repositories and ecosystem
Closest related implementations
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- 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
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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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