An Information-theoretic Approach to Distribution Shifts
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Abstract (arXiv)
Safely deploying machine learning models to the real world is often a challenging process. Models trained with data obtained from a specific geographic location tend to fail when queried with data obtained elsewhere, agents trained in a simulation can struggle to adapt when deployed in the real world or novel environments, and neural networks that are fit to a subset of the population might carry some selection bias into their decision process. In this work, we describe the problem of data shift from a novel information-theoretic perspective by (i) identifying and describing the different sources of error, (ii) comparing some of the most promising objectives explored in the recent domain generalization, and fair classification literature. From our theoretical analysis and empirical evaluation, we conclude that the model selection procedure needs to be guided by careful considerations regarding the observed data, the factors used for correction, and the structure of the data-generating process.
Key facts. Cited by 25 papers in the map (data through 7 Oct 2026). Builds on 33 of its 58 references that are in the map. First posted on arXiv 7 Jun 2021.
Builds on
33 of 58 references.
References · 33
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Citing papers per year: 2021: 1; 2022: 6; 2023: 2; 2024: 5; 2025: 8; 2026: 3.
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- 2022Handling Distribution Shifts on Graphs: An Invariance Perspectivecited by 163
- 2023Identifiability Results for Multimodal Contrastive Learningcited by 58
- 2023Environment-Aware Dynamic Graph Learning for Out-of-Distribution Generalizationcited by 26
- 2022Exploring Predictive Uncertainty and Calibration in NLP: A Study on the Impact of Method & Data Scarcitycited by 24
- 2022Generalizing to Evolving Domains with Latent Structure-Aware Sequential Autoencodercited by 18
- 2025Understanding Multimodal LLMs Under Distribution Shifts: An Information-Theoretic Approachcited by 15
- 2022Finding Diverse and Predictable Subgraphs for Graph Domain Generalizationcited by 9
- 2022Measuring and signing fairness as performance under multiple stakeholder distributionscited by 6
- 2024Out-of-Distribution Recovery with Object-Centric Keypoint Inverse Policy for Visuomotor Imitation Learningcited by 6
- 2025Domain Adaptation and Entanglement: an Optimal Transport Perspectivecited by 6
- 2025When Shift Happens - Confounding Is to Blamecited by 5
- 2024How Does Distribution Matching Help Domain Generalization: An Information-theoretic Analysiscited by 3
13 more
- 2022Testing robustness of predictions of trained classifiers against naturally occurring perturbationscited by 2
- 2024When Invariant Representation Learning Meets Label Shift: Insufficiency and Theoretical Insightscited by 2
- 2024Invariant Graph Learning Meets Information Bottleneck for Out-of-Distribution Generalizationcited by 2
- 2025Evolving Graph Learning for Out-of-Distribution Generalization in Non-stationary Environmentscited by 2
- 2025Adaptive Estimation and Learning under Temporal Distribution Shiftcited by 1
- 2025Ivan-ISTD: Rethinking Cross-domain Heteroscedastic Noise Perturbations in Infrared Small Target Detectioncited by 1
- 2025Understanding Generalization in Role-Playing Models via Information Theorycited by 1
- 2026SigmaQuant: Hardware-Aware Heterogeneous Quantization Method for Edge DNN Inferencecited by 1
- 2026OT on the Map: Quantifying Domain Shifts in Geographic Spacecited by 1
- 2021A benchmark with decomposed distribution shifts for 360 monocular depth estimationcited by 0
- 2024Monitoring Machine Learning Forecasts for Platform Data Streamscited by 0
- 2025Delta-Audit: Explaining What Changes When Models Changecited by 0
- 2026Rethinking the Information Bottleneck: Structured Decomposition under Label-Induced Partitionscited by 0
- 2026Rethinking the Information Bottleneck: Structured Decomposition under Label-Induced Partitions1 Oct 2026
- 2026OT on the Map: Quantifying Domain Shifts in Geographic Space17 Apr 2026
- 2026SigmaQuant: Hardware-Aware Heterogeneous Quantization Method for Edge DNN Inference25 Feb 2026
- 2025Understanding Generalization in Role-Playing Models via Information Theory19 Dec 2025
- 2025Evolving Graph Learning for Out-of-Distribution Generalization in Non-stationary Environments4 Nov 2025
- 2025Ivan-ISTD: Rethinking Cross-domain Heteroscedastic Noise Perturbations in Infrared Small Target Detection14 Oct 2025
- 2025Delta-Audit: Explaining What Changes When Models Change27 Aug 2025
- 2025When Shift Happens - Confounding Is to Blame27 May 2025
- 2025Adaptive Estimation and Learning under Temporal Distribution Shift21 May 2025
- 2025Domain Adaptation and Entanglement: an Optimal Transport Perspective11 Mar 2025
- 2025Understanding Multimodal LLMs Under Distribution Shifts: An Information-Theoretic Approach1 Feb 2025
- 2024Out-of-Distribution Recovery with Object-Centric Keypoint Inverse Policy for Visuomotor Imitation Learning5 Nov 2024
13 more
- 2024Invariant Graph Learning Meets Information Bottleneck for Out-of-Distribution Generalization3 Aug 2024
- 2024When Invariant Representation Learning Meets Label Shift: Insufficiency and Theoretical Insights24 Jun 2024
- 2024How Does Distribution Matching Help Domain Generalization: An Information-theoretic Analysis14 Jun 2024
- 2024Monitoring Machine Learning Forecasts for Platform Data Streams17 Jan 2024
- 2023Environment-Aware Dynamic Graph Learning for Out-of-Distribution Generalization18 Nov 2023
- 2023Identifiability Results for Multimodal Contrastive Learning16 Mar 2023
- 2022Exploring Predictive Uncertainty and Calibration in NLP: A Study on the Impact of Method & Data Scarcity20 Oct 2022
- 2022Measuring and signing fairness as performance under multiple stakeholder distributions20 Jul 2022
- 2022Finding Diverse and Predictable Subgraphs for Graph Domain Generalization19 Jun 2022
- 2022Generalizing to Evolving Domains with Latent Structure-Aware Sequential Autoencoder16 May 2022
- 2022Testing robustness of predictions of trained classifiers against naturally occurring perturbations21 Apr 2022
- 2022Handling Distribution Shifts on Graphs: An Invariance Perspective5 Feb 2022
- 2021A benchmark with decomposed distribution shifts for 360 monocular depth estimation1 Dec 2021
- 2022Handling Distribution Shifts on Graphs: An Invariance Perspectivecited by 163
- 2023Identifiability Results for Multimodal Contrastive Learningcited by 58
- 2023Environment-Aware Dynamic Graph Learning for Out-of-Distribution Generalizationcited by 26
- 2022Exploring Predictive Uncertainty and Calibration in NLP: A Study on the Impact of Method & Data Scarcitycited by 24
- 2022Generalizing to Evolving Domains with Latent Structure-Aware Sequential Autoencodercited by 18
- 2022Finding Diverse and Predictable Subgraphs for Graph Domain Generalizationcited by 9
- 2022Measuring and signing fairness as performance under multiple stakeholder distributionscited by 6
- 2025Domain Adaptation and Entanglement: an Optimal Transport Perspectivecited by 6
- 2025When Shift Happens - Confounding Is to Blamecited by 5
- 2024How Does Distribution Matching Help Domain Generalization: An Information-theoretic Analysiscited by 3
- 2022Testing robustness of predictions of trained classifiers against naturally occurring perturbationscited by 2
- 2024When Invariant Representation Learning Meets Label Shift: Insufficiency and Theoretical Insightscited by 2
12 most cited of 23 All 23 (JSON)
- 2026Rethinking the Information Bottleneck: Structured Decomposition under Label-Induced Partitions1 Oct 2026
- 2026OT on the Map: Quantifying Domain Shifts in Geographic Space17 Apr 2026
- 2026SigmaQuant: Hardware-Aware Heterogeneous Quantization Method for Edge DNN Inference25 Feb 2026
- 2025Understanding Generalization in Role-Playing Models via Information Theory19 Dec 2025
- 2025Evolving Graph Learning for Out-of-Distribution Generalization in Non-stationary Environments4 Nov 2025
- 2025Ivan-ISTD: Rethinking Cross-domain Heteroscedastic Noise Perturbations in Infrared Small Target Detection14 Oct 2025
- 2025Delta-Audit: Explaining What Changes When Models Change27 Aug 2025
- 2025When Shift Happens - Confounding Is to Blame27 May 2025
- 2025Adaptive Estimation and Learning under Temporal Distribution Shift21 May 2025
- 2025Domain Adaptation and Entanglement: an Optimal Transport Perspective11 Mar 2025
- 2024Invariant Graph Learning Meets Information Bottleneck for Out-of-Distribution Generalization3 Aug 2024
- 2024When Invariant Representation Learning Meets Label Shift: Insufficiency and Theoretical Insights24 Jun 2024
12 newest of 23 All 23 (JSON)