Anomaly Detection with Density Estimation
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Abstract (arXiv)
We leverage recent breakthroughs in neural density estimation to propose a new unsupervised anomaly detection technique (ANODE). By estimating the probability density of the data in a signal region and in sidebands, and interpolating the latter into the signal region, a likelihood ratio of data vs. background can be constructed. This likelihood ratio is broadly sensitive to overdensities in the data that could be due to localized anomalies. In addition, a unique potential benefit of the ANODE method is that the background can be directly estimated using the learned densities. Finally, ANODE is robust against systematic differences between signal region and sidebands, giving it broader applicability than other methods. We demonstrate the power of this new approach using the LHC Olympics 2020 R&D Dataset. We show how ANODE can enhance the significance of a dijet bump hunt by up to a factor of 7 with a 10% accuracy on the background prediction. While the LHC is used as the recurring example, the methods developed here have a much broader applicability to anomaly detection in physics and beyond.
Key facts. Cited by 71 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 Jan 2020.
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Citing papers per year: 2021: 16; 2022: 11; 2023: 21; 2024: 8; 2025: 8; 2026: 7.
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- 2021A Living Review of Machine Learning for Particle Physicscited by 77
- 2021Machine Learning in the Search for New Fundamental Physicscited by 50
- 2021CaloFlow: Fast and Accurate Generation of Calorimeter Showers with Normalizing Flowscited by 46
- 2021Fair Normalizing Flowscited by 38
- 2023Machine Learning for Anomaly Detection in Particle Physicscited by 29
- 2021The Dark Machines Anomaly Score Challenge: Benchmark Data and Model Independent Event Classification for the Large Hadron Collidercited by 28
- 2023Distribution learning via neural differential equations: a nonparametric statistical perspectivecited by 22
- 2021Better Latent Spaces for Better Autoencoderscited by 20
- 2022Learning new physics efficiently with nonparametric methodscited by 20
- 2021Bump Hunting in Latent Spacecited by 19
- 2023Deep Generative Models for Detector Signature Simulation: A Taxonomic Reviewcited by 18
- 2021Understanding Event-Generation Networks via Uncertaintiescited by 17
38 more
- 2021Challenges for Unsupervised Anomaly Detection in Particle Physicscited by 16
- 2021E Pluribus Unum Ex Machina: Learning from Many Collider Events at Oncecited by 15
- 2021Online-compatible Unsupervised Non-resonant Anomaly Detectioncited by 15
- 2025Deep Learning Advancements in Anomaly Detection: A Comprehensive Surveycited by 15
- 2021Comparing Weak- and Unsupervised Methods for Resonant Anomaly Detectioncited by 13
- 2024Convolutional L2LFlows: Generating Accurate Showers in Highly Granular Calorimeters Using Convolutional Normalizing Flowscited by 13
- 2023High-dimensional and Permutation Invariant Anomaly Detectioncited by 12
- 2022nu-Flows: Conditional Neutrino Regressioncited by 11
- 2023Learning Likelihood Ratios with Neural Network Classifierscited by 11
- 2021Latent Space Refinement for Deep Generative Modelscited by 10
- 2022Snowmass 2021 Computational Frontier CompF03 Topical Group Report: Machine Learningcited by 10
- 2023Anomalies, Representations, and Self-Supervisioncited by 10
- 2023CURTAINs Flows For Flows: Constructing Unobserved Regions with Maximum Likelihood Estimationcited by 10
- 2023Improving new physics searches with diffusion models for event observables and jet constituentscited by 10
- 2023Unravelling physics beyond the standard model with classical and quantum anomaly detectioncited by 9
- 2022IRC-safe Graph Autoencoder for unsupervised anomaly detectioncited by 8
- 2023Anomaly Detection with Variance Stabilized Density Estimationcited by 8
- 2022"Flux+Mutability": A Conditional Generative Approach to One-Class Classification and Anomaly Detectioncited by 7
- 2022Neural Embedding: Learning the Embedding of the Manifold of Physics Datacited by 7
- 2023Calorimeter shower superresolutioncited by 7
- 2021New Methods and Datasets for Group Anomaly Detection From Fundamental Physicscited by 6
- 2022Invertible Monotone Operators for Normalizing Flowscited by 6
- 2023Fast Particle-based Anomaly Detection Algorithm with Variational Autoencodercited by 6
- 2024Unifying Simulation and Inference with Normalizing Flowscited by 6
- 2024Multi-objective Deep Learning: Taxonomy and Survey of the State of the Artcited by 6
- 2021Normality-Calibrated Autoencoder for Unsupervised Anomaly Detection on Data Contaminationcited by 5
- 2023Comparison of Affine and Rational Quadratic Spline Coupling and Autoregressive Flows through Robust Statistical Testscited by 5
- 2022Invariant Representation Driven Neural Classifier for Anti-QCD Jet Taggingcited by 4
- 2022Resonant Anomaly Detection with Multiple Reference Datasetscited by 4
- 2023An Iterative Method for Unsupervised Robust Anomaly Detection Under Data Contaminationcited by 4
- 2023Generative Invertible Quantum Neural Networkscited by 3
- 2024BUFF: Boosted Decision Tree based Ultra-Fast Flow matchingcited by 3
- 2026Model-Agnostic Signal Discovery with Machine Learning: Bridging the Gap Between Theory and Practicecited by 3
- 2021GBHT: Gradient Boosting Histogram Transform for Density Estimationcited by 2
- 2022New Machine Learning Techniques for Simulation-Based Inference: InferoStatic Nets, Kernel Score Estimation, and Kernel Likelihood Ratio Estimationcited by 2
- 2023Improving the performance of weak supervision searches using transfer and meta-learningcited by 2
- 2023TERM Model: Tensor Ring Mixture Model for Density Estimationcited by 2
- 2025Learnable Kernel Density Estimation for Graphs and Its Application to Graph-Level Anomaly Detectioncited by 2
50 most cited of 71 All 71 (JSON)
- 2026Likelihood-Based Unsupervised Anomaly Detection in CMS Dijet Events6 Sep 2026
- 2026Hadronic Mono-Z Dark Matter Sensitivity with Flow Matching on CMS Open Data21 Aug 2026
- 2026Learning Standard Model structure from LHC data with Riemannian flow matching17 Jul 2026
- 2026Mono-Z Dark Matter Search with Neural Spline Flows Using CMS Run 2015D Open Data15 Jul 2026
- 2026QUIVER: Quantum-Informed Views for Enhanced Representations in Large ML Models1 Jun 2026
- 2026Model-Agnostic Signal Discovery with Machine Learning: Bridging the Gap Between Theory and Practice29 May 2026
- 2026Generative Models and Statistical Validation28 May 2026
- 2025Transforming Conditional Density Estimation Into a Single Nonparametric Regression Task23 Nov 2025
- 2025Agents of Discovery10 Sep 2025
- 2025Generator Based Inference (GBI)30 May 2025
- 2025Learnable Kernel Density Estimation for Graphs and Its Application to Graph-Level Anomaly Detection27 May 2025
- 2025Strengthening Anomaly Awareness15 Apr 2025
38 more
- 2025Detecting Localized Density Anomalies in Multivariate Data via Coin-Flip Statistics31 Mar 2025
- 2025Deep Learning Advancements in Anomaly Detection: A Comprehensive Survey17 Mar 2025
- 2025TRANSIT your events into a new mass: Fast background interpolation for weakly-supervised anomaly searches6 Mar 2025
- 2024Multi-objective Deep Learning: Taxonomy and Survey of the State of the Art2 Dec 2024
- 2024Toward Model-Agnostic Detection of New Physics Using Data-Driven Signal Regions11 Sep 2024
- 2024Latent Anomaly Detection Through Density Matrices14 Aug 2024
- 2024MEMO-QCD: Quantum Density Estimation through Memetic Optimisation for Quantum Circuit Design12 Jun 2024
- 2024Convolutional L2LFlows: Generating Accurate Showers in Highly Granular Calorimeters Using Convolutional Normalizing Flows30 May 2024
- 2024Two Is Better Than One: Aligned Representation Pairs for Anomaly Detection29 May 2024
- 2024Unifying Simulation and Inference with Normalizing Flows29 Apr 2024
- 2024BUFF: Boosted Decision Tree based Ultra-Fast Flow matching28 Apr 2024
- 2023Machine Learning for Anomaly Detection in Particle Physics20 Dec 2023
- 2023Improving new physics searches with diffusion models for event observables and jet constituents15 Dec 2023
- 2023Deep Generative Models for Detector Signature Simulation: A Taxonomic Review15 Dec 2023
- 2023TERM Model: Tensor Ring Mixture Model for Density Estimation13 Dec 2023
- 2023Improving the performance of weak supervision searches using transfer and meta-learning11 Dec 2023
- 2023Fast Particle-based Anomaly Detection Algorithm with Variational Autoencoder28 Nov 2023
- 2023An Iterative Method for Unsupervised Robust Anomaly Detection Under Data Contamination18 Sep 2023
- 2023Flows for Flows: Morphing one Dataset into another with Maximum Likelihood Estimation12 Sep 2023
- 2023Distribution learning via neural differential equations: a nonparametric statistical perspective3 Sep 2023
- 2023Calorimeter shower superresolution22 Aug 2023
- 2023High-dimensional and Permutation Invariant Anomaly Detection6 Jun 2023
- 2023A Robust Likelihood Model for Novelty Detection6 Jun 2023
- 2023Anomaly Detection with Variance Stabilized Density Estimation1 Jun 2023
- 2023Learning Likelihood Ratios with Neural Network Classifiers17 May 2023
- 2023CURTAINs Flows For Flows: Constructing Unobserved Regions with Maximum Likelihood Estimation8 May 2023
- 2023Weakly-Supervised Anomaly Detection in the Milky Way5 May 2023
- 2023GADformer: A Transparent Transformer Model for Group Anomaly Detection on Trajectories17 Mar 2023
- 2023Generative Invertible Quantum Neural Networks24 Feb 2023
- 2023Comparison of Affine and Rational Quadratic Spline Coupling and Autoregressive Flows through Robust Statistical Tests23 Feb 2023
- 2023Unravelling physics beyond the standard model with classical and quantum anomaly detection25 Jan 2023
- 2023Anomalies, Representations, and Self-Supervision11 Jan 2023
- 2022Resonant Anomaly Detection with Multiple Reference Datasets20 Dec 2022
- 2022LEAN-DMKDE: Quantum Latent Density Estimation for Anomaly Detection15 Nov 2022
- 2022Invertible Monotone Operators for Normalizing Flows15 Oct 2022
- 2022New Machine Learning Techniques for Simulation-Based Inference: InferoStatic Nets, Kernel Score Estimation, and Kernel Likelihood Ratio Estimation4 Oct 2022
- 2022Snowmass 2021 Computational Frontier CompF03 Topical Group Report: Machine Learning15 Sep 2022
- 2022Neural Embedding: Learning the Embedding of the Manifold of Physics Data10 Aug 2022
50 newest of 71 All 71 (JSON)
- 2025Agents of Discoverycited by 2
- 2025Agents of Discovery10 Sep 2025
- 2021A Living Review of Machine Learning for Particle Physicscited by 77
- 2021Machine Learning in the Search for New Fundamental Physicscited by 50
- 2021CaloFlow: Fast and Accurate Generation of Calorimeter Showers with Normalizing Flowscited by 46
- 2021Fair Normalizing Flowscited by 38
- 2023Machine Learning for Anomaly Detection in Particle Physicscited by 29
- 2021The Dark Machines Anomaly Score Challenge: Benchmark Data and Model Independent Event Classification for the Large Hadron Collidercited by 28
- 2023Distribution learning via neural differential equations: a nonparametric statistical perspectivecited by 22
- 2021Better Latent Spaces for Better Autoencoderscited by 20
- 2022Learning new physics efficiently with nonparametric methodscited by 20
- 2021Bump Hunting in Latent Spacecited by 19
- 2023Deep Generative Models for Detector Signature Simulation: A Taxonomic Reviewcited by 18
- 2021Understanding Event-Generation Networks via Uncertaintiescited by 17
12 most cited of 68 All 68 (JSON)
- 2026Likelihood-Based Unsupervised Anomaly Detection in CMS Dijet Events6 Sep 2026
- 2026Hadronic Mono-Z Dark Matter Sensitivity with Flow Matching on CMS Open Data21 Aug 2026
- 2026Learning Standard Model structure from LHC data with Riemannian flow matching17 Jul 2026
- 2026Mono-Z Dark Matter Search with Neural Spline Flows Using CMS Run 2015D Open Data15 Jul 2026
- 2026QUIVER: Quantum-Informed Views for Enhanced Representations in Large ML Models1 Jun 2026
- 2026Model-Agnostic Signal Discovery with Machine Learning: Bridging the Gap Between Theory and Practice29 May 2026
- 2026Generative Models and Statistical Validation28 May 2026
- 2025Transforming Conditional Density Estimation Into a Single Nonparametric Regression Task23 Nov 2025
- 2025Generator Based Inference (GBI)30 May 2025
- 2025Learnable Kernel Density Estimation for Graphs and Its Application to Graph-Level Anomaly Detection27 May 2025
- 2025Strengthening Anomaly Awareness15 Apr 2025
- 2025Detecting Localized Density Anomalies in Multivariate Data via Coin-Flip Statistics31 Mar 2025
12 newest of 68 All 68 (JSON)