Lifted Disjoint Paths with Application in Multiple Object Tracking
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Abstract (arXiv)
We present an extension to the disjoint paths problem in which additional lifted edges are introduced to provide path connectivity priors. We call the resulting optimization problem the lifted disjoint paths problem. We show that this problem is NP-hard by reduction from integer multicommodity flow and 3-SAT. To enable practical global optimization, we propose several classes of linear inequalities that produce a high-quality LP-relaxation. Additionally, we propose efficient cutting plane algorithms for separating the proposed linear inequalities. The lifted disjoint path problem is a natural model for multiple object tracking and allows an elegant mathematical formulation for long range temporal interactions. Lifted edges help to prevent id switches and to re-identify persons. Our lifted disjoint paths tracker achieves nearly optimal assignments with respect to input detections. As a consequence, it leads on all three main benchmarks of the MOT challenge, improving significantly over state-of-the-art.
Key facts. Cited by 55 papers in the map (data through 7 Oct 2026). First posted on arXiv 25 Jun 2020.
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Citing papers per year: 2021: 23; 2022: 19; 2023: 6; 2024: 5; 2025: 2.
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- 2021ByteTrack: Multi-Object Tracking by Associating Every Detection Boxcited by 812
- 2021TrackFormer: Multi-Object Tracking with Transformerscited by 515
- 2022Observation-Centric SORT: Rethinking SORT for Robust Multi-Object Trackingcited by 345
- 2021SimpleTrack: Understanding and Rethinking 3D Multi-object Trackingcited by 102
- 2021Spatial-Temporal Transformer for Dynamic Scene Graph Generationcited by 95
- 2021TransMOT: Spatial-Temporal Graph Transformer for Multiple Object Trackingcited by 93
- 2021MOTSynth: How Can Synthetic Data Help Pedestrian Detection and Tracking?cited by 68
- 2021Multiple Object Tracking with Correlation Learningcited by 67
- 2022Unifying Short and Long-Term Tracking with Graph Hierarchiescited by 62
- 2021Learnable Graph Matching: Incorporating Graph Partitioning with Deep Feature Learning for Multiple Object Trackingcited by 47
- 2022GIAOTracker: A comprehensive framework for MCMOT with global information and optimizing strategies in VisDrone 2021cited by 46
- 2022Simple Cues Lead to a Strong Multi-Object Trackercited by 44
38 more
- 2021Learning a Proposal Classifier for Multiple Object Trackingcited by 42
- 2021TransCenter: Transformers with Dense Representations for Multiple-Object Trackingcited by 42
- 2021LMGP: Lifted Multicut Meets Geometry Projections for Multi-Camera Multi-Object Trackingcited by 34
- 20223D Multi-Object Tracking Using Graph Neural Networks with Cross-Edge Modality Attentioncited by 27
- 2021Track without Appearance: Learn Box and Tracklet Embedding with Local and Global Motion Patterns for Vehicle Trackingcited by 26
- 2021One More Check: Making "Fake Background" Be Tracked Againcited by 25
- 2022The Caltech Fish Counting Dataset: A Benchmark for Multiple-Object Tracking and Countingcited by 24
- 2022Adiabatic Quantum Computing for Multi Object Trackingcited by 22
- 2021Looking Beyond Two Frames: End-to-End Multi-Object Tracking Using Spatial and Temporal Transformerscited by 21
- 2023ByteTrackV2: 2D and 3D Multi-Object Tracking by Associating Every Detection Boxcited by 20
- 2021Making Higher Order MOT Scalable: An Efficient Approximate Solver for Lifted Disjoint Pathscited by 19
- 2021Split and Connect: A Universal Tracklet Booster for Multi-Object Trackingcited by 17
- 2022Efficient tracking of team sport players with few game-specific annotationscited by 17
- 2022Online Multi-Object Tracking with Unsupervised Re-Identification Learning and Occlusion Estimationcited by 16
- 2021Online Multiple Object Tracking with Cross-Task Synergycited by 12
- 2022Learning of Global Objective for Network Flow in Multi-Object Trackingcited by 11
- 2023Siamese-DETR for Generic Multi-Object Trackingcited by 11
- 2021RAMA: A Rapid Multicut Algorithm on GPUcited by 9
- 2022Multi-Object Tracking and Segmentation via Neural Message Passingcited by 9
- 2021Local Metrics for Multi-Object Trackingcited by 8
- 2021Know Your Surroundings: Panoramic Multi-Object Tracking by Multimodality Collaborationcited by 8
- 2021Multiple Object Tracking with Mixture Density Networks for Trajectory Estimationcited by 8
- 2022Recent Advances in Embedding Methods for Multi-Object Tracking: A Surveycited by 8
- 2022Depth Perspective-aware Multiple Object Trackingcited by 8
- 2024FeatureSORT: Essential Features for Effective Trackingcited by 8
- 2022Robust Multi-Object Tracking by Marginal Inferencecited by 7
- 2023Multi-Scene Generalized Trajectory Global Graph Solver with Composite Nodes for Multiple Object Trackingcited by 7
- 2022Towards Frame Rate Agnostic Multi-Object Trackingcited by 6
- 2022Multiple Object Tracking from appearance by hierarchically clustering trackletscited by 5
- 2022Structured Prediction Problem Archivecited by 4
- 2024OW-VISCapTor: Abstractors for Open-World Video Instance Segmentation and Captioningcited by 4
- 2021Uncertainty in Minimum Cost Multicuts for Image and Motion Segmentationcited by 3
- 2025NOOUGAT: Towards Unified Online and Offline Multi-Object Trackingcited by 3
- 2023Learnable Graph Matching: A Practical Paradigm for Data Associationcited by 2
- 2023A Graph Multi-separator Problem for Image Segmentationcited by 1
- 2024DINTR: Tracking via Diffusion-based Interpolationcited by 1
- 2024Learning a Neural Association Network for Self-supervised Multi-Object Trackingcited by 1
- 2021A Generic Object Re-identification System for Short Videoscited by 0
50 most cited of 55 All 55 (JSON)
- 2025OmniPT: Unleashing the Potential of Large Vision Language Models for Pedestrian Tracking and Understanding21 Nov 2025
- 2025NOOUGAT: Towards Unified Online and Offline Multi-Object Tracking2 Sep 2025
- 2024Learning a Neural Association Network for Self-supervised Multi-Object Tracking18 Nov 2024
- 2024DINTR: Tracking via Diffusion-based Interpolation14 Oct 2024
- 2024RTAT: A Robust Two-stage Association Tracker for Multi-Object Tracking14 Aug 2024
- 2024FeatureSORT: Essential Features for Effective Tracking5 Jul 2024
- 2024OW-VISCapTor: Abstractors for Open-World Video Instance Segmentation and Captioning4 Apr 2024
- 2023Multi-Scene Generalized Trajectory Global Graph Solver with Composite Nodes for Multiple Object Tracking14 Dec 2023
- 2023Siamese-DETR for Generic Multi-Object Tracking27 Oct 2023
- 2023A Hybrid Approach To Real-Time Multi-Object Tracking2 Aug 2023
- 2023A Graph Multi-separator Problem for Image Segmentation10 Jul 2023
- 2023Learnable Graph Matching: A Practical Paradigm for Data Association27 Mar 2023
38 more
- 2023ByteTrackV2: 2D and 3D Multi-Object Tracking by Associating Every Detection Box27 Mar 2023
- 2022Unifying Short and Long-Term Tracking with Graph Hierarchies6 Dec 2022
- 2022Multiple Object Tracking from appearance by hierarchically clustering tracklets7 Oct 2022
- 2022Towards Frame Rate Agnostic Multi-Object Tracking23 Sep 2022
- 2022Actor-identified Spatiotemporal Action Detection -- Detecting Who Is Doing What in Videos27 Aug 2022
- 2022Robust Multi-Object Tracking by Marginal Inference7 Aug 2022
- 2022The Caltech Fish Counting Dataset: A Benchmark for Multiple-Object Tracking and Counting19 Jul 2022
- 2022Multi-Object Tracking and Segmentation via Neural Message Passing15 Jul 2022
- 2022Depth Perspective-aware Multiple Object Tracking10 Jul 2022
- 2022Simple Cues Lead to a Strong Multi-Object Tracker9 Jun 2022
- 2022Recent Advances in Embedding Methods for Multi-Object Tracking: A Survey22 May 2022
- 2022Efficient tracking of team sport players with few game-specific annotations8 Apr 2022
- 2022Learning of Global Objective for Network Flow in Multi-Object Tracking30 Mar 2022
- 2022Observation-Centric SORT: Rethinking SORT for Robust Multi-Object Tracking27 Mar 2022
- 20223D Multi-Object Tracking Using Graph Neural Networks with Cross-Edge Modality Attention21 Mar 2022
- 2022VariabilityTrack:Multi-Object Tracking with Variable Speed Object Movement12 Mar 2022
- 2022GIAOTracker: A comprehensive framework for MCMOT with global information and optimizing strategies in VisDrone 202124 Feb 2022
- 2022Adiabatic Quantum Computing for Multi Object Tracking17 Feb 2022
- 2022Structured Prediction Problem Archive4 Feb 2022
- 2022Online Multi-Object Tracking with Unsupervised Re-Identification Learning and Occlusion Estimation4 Jan 2022
- 2021LMGP: Lifted Multicut Meets Geometry Projections for Multi-Camera Multi-Object Tracking23 Nov 2021
- 2021SimpleTrack: Understanding and Rethinking 3D Multi-object Tracking18 Nov 2021
- 2021ByteTrack: Multi-Object Tracking by Associating Every Detection Box13 Oct 2021
- 2021RAMA: A Rapid Multicut Algorithm on GPU4 Sep 2021
- 2021Making Higher Order MOT Scalable: An Efficient Approximate Solver for Lifted Disjoint Paths24 Aug 2021
- 2021MOTSynth: How Can Synthetic Data Help Pedestrian Detection and Tracking?21 Aug 2021
- 2021Track without Appearance: Learn Box and Tracklet Embedding with Local and Global Motion Patterns for Vehicle Tracking13 Aug 2021
- 2021Spatial-Temporal Transformer for Dynamic Scene Graph Generation26 Jul 2021
- 2021Multiple Object Tracking with Mixture Density Networks for Trajectory Estimation21 Jun 2021
- 2021Know Your Surroundings: Panoramic Multi-Object Tracking by Multimodality Collaboration31 May 2021
- 2021Uncertainty in Minimum Cost Multicuts for Image and Motion Segmentation16 May 2021
- 2021Split and Connect: A Universal Tracklet Booster for Multi-Object Tracking6 May 2021
- 2021One More Check: Making "Fake Background" Be Tracked Again19 Apr 2021
- 2021Multiple Object Tracking with Correlation Learning8 Apr 2021
- 2021Local Metrics for Multi-Object Tracking6 Apr 2021
- 2021Online Multiple Object Tracking with Cross-Task Synergy1 Apr 2021
- 2021TransMOT: Spatial-Temporal Graph Transformer for Multiple Object Tracking1 Apr 2021
- 2021Learnable Graph Matching: Incorporating Graph Partitioning with Deep Feature Learning for Multiple Object Tracking30 Mar 2021
50 newest of 55 All 55 (JSON)
- 2024DINTR: Tracking via Diffusion-based Interpolationcited by 1
- 2024DINTR: Tracking via Diffusion-based Interpolation14 Oct 2024
- 2021ByteTrack: Multi-Object Tracking by Associating Every Detection Boxcited by 812
- 2021TrackFormer: Multi-Object Tracking with Transformerscited by 515
- 2022Observation-Centric SORT: Rethinking SORT for Robust Multi-Object Trackingcited by 345
- 2021SimpleTrack: Understanding and Rethinking 3D Multi-object Trackingcited by 102
- 2021Spatial-Temporal Transformer for Dynamic Scene Graph Generationcited by 95
- 2021TransMOT: Spatial-Temporal Graph Transformer for Multiple Object Trackingcited by 93
- 2021MOTSynth: How Can Synthetic Data Help Pedestrian Detection and Tracking?cited by 68
- 2021Multiple Object Tracking with Correlation Learningcited by 67
- 2022Unifying Short and Long-Term Tracking with Graph Hierarchiescited by 62
- 2021Learnable Graph Matching: Incorporating Graph Partitioning with Deep Feature Learning for Multiple Object Trackingcited by 47
- 2022GIAOTracker: A comprehensive framework for MCMOT with global information and optimizing strategies in VisDrone 2021cited by 46
- 2022Simple Cues Lead to a Strong Multi-Object Trackercited by 44
12 most cited of 53 All 53 (JSON)
- 2025NOOUGAT: Towards Unified Online and Offline Multi-Object Tracking2 Sep 2025
- 2024Learning a Neural Association Network for Self-supervised Multi-Object Tracking18 Nov 2024
- 2024RTAT: A Robust Two-stage Association Tracker for Multi-Object Tracking14 Aug 2024
- 2024FeatureSORT: Essential Features for Effective Tracking5 Jul 2024
- 2024OW-VISCapTor: Abstractors for Open-World Video Instance Segmentation and Captioning4 Apr 2024
- 2023Multi-Scene Generalized Trajectory Global Graph Solver with Composite Nodes for Multiple Object Tracking14 Dec 2023
- 2023Siamese-DETR for Generic Multi-Object Tracking27 Oct 2023
- 2023A Hybrid Approach To Real-Time Multi-Object Tracking2 Aug 2023
- 2023A Graph Multi-separator Problem for Image Segmentation10 Jul 2023
- 2023Learnable Graph Matching: A Practical Paradigm for Data Association27 Mar 2023
- 2023ByteTrackV2: 2D and 3D Multi-Object Tracking by Associating Every Detection Box27 Mar 2023
- 2022Unifying Short and Long-Term Tracking with Graph Hierarchies6 Dec 2022
12 newest of 53 All 53 (JSON)