A note on the triangle inequality for the Jaccard distance
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Abstract (arXiv)
Two simple proofs of the triangle inequality for the Jaccard distance in terms of nonnegative, monotone, submodular functions are given and discussed.
Key facts. Cited by 32 papers in the map (data through 14 Oct 2026). First posted on arXiv 8 Dec 2016.
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Citing papers per year: 2021: 5; 2022: 7; 2023: 3; 2024: 5; 2025: 7; 2026: 5.
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- 2021Focal and Efficient IOU Loss for Accurate Bounding Box Regressioncited by 57
- 2021How Much Space Has Been Explored? Measuring the Chemical Space Covered by Databases and Machine-Generated Moleculescited by 27
- 2021Using Soft Labels to Model Uncertainty in Medical Image Segmentationcited by 18
- 2023Tanimoto Random Features for Scalable Molecular Machine Learningcited by 15
- 2023Jaccard Metric Losses: Optimizing the Jaccard Index with Soft Labelscited by 12
- 2021CFPNet-M: A Light-Weight Encoder-Decoder Based Network for Multimodal Biomedical Image Real-Time Segmentationcited by 11
- 2022Good Classification Measures and How to Find Themcited by 11
- 2025The Lock-in Hypothesis: Stagnation by Algorithmcited by 11
- 2024Deep Domain Adaptation: A Sim2Real Neural Approach for Improving Eye-Tracking Systemscited by 6
- 2025LAMDA: A Longitudinal Android Malware Benchmark for Concept Drift Analysiscited by 6
- 2022Autonomous Drug Design with Multi-Armed Banditscited by 2
- 2024Multiscale Dubuc: A New Similarity Measure for Time Seriescited by 2
20 more
- 2025DINAMO: Dynamic and INterpretable Anomaly MOnitoring for Large-Scale Particle Physics Experimentscited by 2
- 2021Rethinking Drone-Based Search and Rescue with Aerial Person Detectioncited by 1
- 2022Random Manifold Sampling and Joint Sparse Regularization for Multi-label Feature Selectioncited by 1
- 2022Evaluating Table Structure Recognition: A New Perspectivecited by 1
- 2022Concise and interpretable multi-label rule setscited by 1
- 2025CID: Measuring Feature Importance Through Counterfactual Distributionscited by 1
- 2022Global Evaluation for Decision Tree Learningcited by 0
- 2022Multiple View Performers for Shape Completioncited by 0
- 2023Morphologically-Aware Consensus Computation via Heuristics-based IterATive Optimization (MACCHIatO)cited by 0
- 2024Evaluating Deep Clustering Algorithms on Non-Categorical 3D CAD Modelscited by 0
- 2024Metric Dimension and Resolvability of Jaccard Spacescited by 0
- 2024HACD: Harnessing Attribute Semantics and Mesoscopic Structure for Community Detectioncited by 0
- 2025BicliqueEncoder: An Efficient Method for Link Prediction in Bipartite Networks using Formal Concept Analysis and Transformer Encodercited by 0
- 2025Rethinking Message Passing Neural Networks with Diffusion Distance-guided Stress Majorizationcited by 0
- 2025A Selective Temporal Hamming distance to find patterns in state transition event timeseries, at scalecited by 0
- 2026Human-Centric Topic Modeling with Goal-Prompted Contrastive Learning and Optimal Transportcited by 0
- 2026On the Triangle Inequality for the Jaccard Distance in Arbitrary Latticescited by 0
- 2026NeuCME: Toward Dynamic Multimodal Continual Learning via Neural Combinatorics of Multiple Expertscited by 0
- 2026Can Vision-Language Models Analyze Human-Centered Video? Mapping Model Capabilities and Human-AI Collaborative Workflowscited by 0
- 2026Noisy Test-Time Reinforcement Learning for Code LLMscited by 0
- 2026Noisy Test-Time Reinforcement Learning for Code LLMs26 Sep 2026
- 2026Can Vision-Language Models Analyze Human-Centered Video? Mapping Model Capabilities and Human-AI Collaborative Workflows23 Sep 2026
- 2026NeuCME: Toward Dynamic Multimodal Continual Learning via Neural Combinatorics of Multiple Experts7 Sep 2026
- 2026On the Triangle Inequality for the Jaccard Distance in Arbitrary Lattices18 Aug 2026
- 2026Human-Centric Topic Modeling with Goal-Prompted Contrastive Learning and Optimal Transport14 Apr 2026
- 2025A Selective Temporal Hamming distance to find patterns in state transition event timeseries, at scale1 Dec 2025
- 2025Rethinking Message Passing Neural Networks with Diffusion Distance-guided Stress Majorization25 Nov 2025
- 2025CID: Measuring Feature Importance Through Counterfactual Distributions19 Nov 2025
- 2025The Lock-in Hypothesis: Stagnation by Algorithm6 Jun 2025
- 2025LAMDA: A Longitudinal Android Malware Benchmark for Concept Drift Analysis24 May 2025
- 2025BicliqueEncoder: An Efficient Method for Link Prediction in Bipartite Networks using Formal Concept Analysis and Transformer Encoder6 Mar 2025
- 2025DINAMO: Dynamic and INterpretable Anomaly MOnitoring for Large-Scale Particle Physics Experiments31 Jan 2025
20 more
- 2024Multiscale Dubuc: A New Similarity Measure for Time Series15 Nov 2024
- 2024HACD: Harnessing Attribute Semantics and Mesoscopic Structure for Community Detection4 Nov 2024
- 2024Metric Dimension and Resolvability of Jaccard Spaces19 May 2024
- 2024Evaluating Deep Clustering Algorithms on Non-Categorical 3D CAD Models29 Apr 2024
- 2024Deep Domain Adaptation: A Sim2Real Neural Approach for Improving Eye-Tracking Systems23 Mar 2024
- 2023Morphologically-Aware Consensus Computation via Heuristics-based IterATive Optimization (MACCHIatO)14 Sep 2023
- 2023Tanimoto Random Features for Scalable Molecular Machine Learning26 Jun 2023
- 2023Jaccard Metric Losses: Optimizing the Jaccard Index with Soft Labels11 Feb 2023
- 2022Concise and interpretable multi-label rule sets4 Oct 2022
- 2022Multiple View Performers for Shape Completion13 Sep 2022
- 2022Global Evaluation for Decision Tree Learning9 Aug 2022
- 2022Evaluating Table Structure Recognition: A New Perspective31 Jul 2022
- 2022Autonomous Drug Design with Multi-Armed Bandits4 Jul 2022
- 2022Random Manifold Sampling and Joint Sparse Regularization for Multi-label Feature Selection13 Apr 2022
- 2022Good Classification Measures and How to Find Them22 Jan 2022
- 2021How Much Space Has Been Explored? Measuring the Chemical Space Covered by Databases and Machine-Generated Molecules22 Dec 2021
- 2021Rethinking Drone-Based Search and Rescue with Aerial Person Detection17 Nov 2021
- 2021Using Soft Labels to Model Uncertainty in Medical Image Segmentation26 Sep 2021
- 2021CFPNet-M: A Light-Weight Encoder-Decoder Based Network for Multimodal Biomedical Image Real-Time Segmentation10 May 2021
- 2021Focal and Efficient IOU Loss for Accurate Bounding Box Regression20 Jan 2021
- 2021Focal and Efficient IOU Loss for Accurate Bounding Box Regressioncited by 57
- 2021How Much Space Has Been Explored? Measuring the Chemical Space Covered by Databases and Machine-Generated Moleculescited by 27
- 2021Using Soft Labels to Model Uncertainty in Medical Image Segmentationcited by 18
- 2023Tanimoto Random Features for Scalable Molecular Machine Learningcited by 15
- 2021CFPNet-M: A Light-Weight Encoder-Decoder Based Network for Multimodal Biomedical Image Real-Time Segmentationcited by 11
- 2022Good Classification Measures and How to Find Themcited by 11
- 2025The Lock-in Hypothesis: Stagnation by Algorithmcited by 11
- 2024Deep Domain Adaptation: A Sim2Real Neural Approach for Improving Eye-Tracking Systemscited by 6
- 2025LAMDA: A Longitudinal Android Malware Benchmark for Concept Drift Analysiscited by 6
- 2022Autonomous Drug Design with Multi-Armed Banditscited by 2
- 2024Multiscale Dubuc: A New Similarity Measure for Time Seriescited by 2
- 2025DINAMO: Dynamic and INterpretable Anomaly MOnitoring for Large-Scale Particle Physics Experimentscited by 2
12 most cited of 30 All 30 (JSON)
- 2026Noisy Test-Time Reinforcement Learning for Code LLMs26 Sep 2026
- 2026NeuCME: Toward Dynamic Multimodal Continual Learning via Neural Combinatorics of Multiple Experts7 Sep 2026
- 2026On the Triangle Inequality for the Jaccard Distance in Arbitrary Lattices18 Aug 2026
- 2026Human-Centric Topic Modeling with Goal-Prompted Contrastive Learning and Optimal Transport14 Apr 2026
- 2025A Selective Temporal Hamming distance to find patterns in state transition event timeseries, at scale1 Dec 2025
- 2025Rethinking Message Passing Neural Networks with Diffusion Distance-guided Stress Majorization25 Nov 2025
- 2025CID: Measuring Feature Importance Through Counterfactual Distributions19 Nov 2025
- 2025The Lock-in Hypothesis: Stagnation by Algorithm6 Jun 2025
- 2025LAMDA: A Longitudinal Android Malware Benchmark for Concept Drift Analysis24 May 2025
- 2025BicliqueEncoder: An Efficient Method for Link Prediction in Bipartite Networks using Formal Concept Analysis and Transformer Encoder6 Mar 2025
- 2025DINAMO: Dynamic and INterpretable Anomaly MOnitoring for Large-Scale Particle Physics Experiments31 Jan 2025
- 2024Multiscale Dubuc: A New Similarity Measure for Time Series15 Nov 2024
12 newest of 30 All 30 (JSON)