Distributed Gaussian Processes
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Abstract (arXiv)
To scale Gaussian processes (GPs) to large data sets we introduce the robust Bayesian Committee Machine (rBCM), a practical and scalable product-of-experts model for large-scale distributed GP regression. Unlike state-of-the-art sparse GP approximations, the rBCM is conceptually simple and does not rely on inducing or variational parameters. The key idea is to recursively distribute computations to independent computational units and, subsequently, recombine them to form an overall result. Efficient closed-form inference allows for straightforward parallelisation and distributed computations with a small memory footprint. The rBCM is independent of the computational graph and can be used on heterogeneous computing infrastructures, ranging from laptops to clusters. With sufficient computing resources our distributed GP model can handle arbitrarily large data sets.
Key facts. Cited by 84 papers in the map (data through 7 Oct 2026). First posted on arXiv 10 Feb 2015.
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Citing papers per year: 2017: 1; 2018: 0; 2019: 1; 2020: 1; 2021: 16; 2022: 16; 2023: 15; 2024: 9; 2025: 14; 2026: 11.
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- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
- 2023Model Merging by Uncertainty-Based Gradient Matchingcited by 77
- 2022Residual Mixture of Expertscited by 39
- 2025MoEQuant: Enhancing Quantization for Mixture-of-Experts Large Language Models via Expert-Balanced Sampling and Affinity Guidancecited by 32
- 2021Local approximate Gaussian process regression for data-driven constitutive laws: Development and comparison with neural networkscited by 17
- 2025MoE-Loco: Mixture of Experts for Multitask Locomotioncited by 17
- 2021Bias-Free Scalable Gaussian Processes via Randomized Truncationscited by 15
- 2021Incremental Ensemble Gaussian Processescited by 15
- 2025Mixture of Lookup Expertscited by 11
- 2023Stochastic Marginal Likelihood Gradients using Neural Tangent Kernelscited by 10
- 2024Training-efficient density quantum machine learningcited by 10
- 2021The Fast Kernel Transformcited by 8
38 more
- 2021Leveraging Probabilistic Circuits for Nonparametric Multi-Output Regressioncited by 8
- 2021Federated Gaussian Process: Convergence, Automatic Personalization and Multi-fidelity Modelingcited by 8
- 2022Scalable Gaussian-process regression and variable selection using Vecchia approximationscited by 8
- 2022Hierarchical Policy Blending as Inference for Reactive Robot Controlcited by 8
- 2021Correlated Product of Experts for Sparse Gaussian Process Regressioncited by 7
- 2025MoLAE: Mixture of Latent Experts for Parameter-Efficient Language Modelscited by 7
- 2023Neural Operator Variational Inference based on Regularized Stein Discrepancy for Deep Gaussian Processescited by 6
- 2019Hierarchical Routing Mixture of Expertscited by 5
- 2020Gaussian-Process-based Robot Learning from Demonstrationcited by 5
- 2021Recent Advances in Data-Driven Wireless Communication Using Gaussian Processes: A Comprehensive Surveycited by 5
- 2022Federated Bayesian Neural Regression: A Scalable Global Federated Gaussian Processcited by 5
- 2023Sequential Estimation of Gaussian Process-based Deep State-Space Modelscited by 5
- 2023Leveraging Locality and Robustness to Achieve Massively Scalable Gaussian Process Regressioncited by 5
- 2024No Need to Talk: Asynchronous Mixture of Language Modelscited by 5
- 2021Distributed Nonparametric Function Estimation: Optimal Rate of Convergence and Cost of Adaptationcited by 4
- 2022Fully Decentralized, Scalable Gaussian Processes for Multi-Agent Federated Learningcited by 4
- 2023Actually Sparse Variational Gaussian Processescited by 4
- 2024Cooperative Learning with Gaussian Processes for Euler-Lagrange Systems Tracking Control under Switching Topologiescited by 4
- 2025Generating Synthetic Data with Formal Privacy Guarantees: State of the Art and the Road Aheadcited by 4
- 2025Streaming Generated Gaussian Process Experts for Online Learning and Control: Extended Versioncited by 4
- 2021GP-ConvCNP: Better Generalization for Convolutional Conditional Neural Processes on Time Series Datacited by 3
- 2021Gaussian Process Inference Using Mini-batch Stochastic Gradient Descent: Convergence Guarantees and Empirical Benefitscited by 3
- 2022B'ezier Curve Gaussian Processescited by 3
- 2022A Manifold-based Airfoil Geometric-feature Extraction and Discrepant Data Fusion Learning Methodcited by 3
- 2022Mixtures of Gaussian Process Experts with SMC2cited by 3
- 2022Bayesian data fusion with shared priorscited by 3
- 2023Vecchia Gaussian Process Ensembles on Internal Representations of Deep Neural Networkscited by 3
- 2023Learning-based Control for PMSM Using Distributed Gaussian Processes with Optimal Aggregation Strategycited by 3
- 2024Whom to Trust? Elective Learning for Distributed Gaussian Process Regressioncited by 3
- 2025All Emulators are Wrong, Many are Useful, and Some are More Useful Than Others: A Reproducible Comparison of Computer Model Surrogatescited by 3
- 2021Healing Products of Gaussian Processescited by 2
- 2022Adaptive Cholesky Gaussian Processescited by 2
- 2022Networked Online Learning for Control of Safety-Critical Resource-Constrained Systems based on Gaussian Processescited by 2
- 2023Multi-view Kernel PCA for Time series Forecastingcited by 2
- 2023A Global-Local Approximation Framework for Large-Scale Gaussian Process Modelingcited by 2
- 2024Contraction rates for conjugate gradient and Lanczos approximate posteriors in Gaussian process regressioncited by 2
- 2025Robust, Online, and Adaptive Decentralized Gaussian Processescited by 2
- 2025Fast Gaussian Process Approximations for Autocorrelated Datacited by 2
50 most cited of 84 All 84 (JSON)
- 2026COIN-GP: Cooperative Online Learning in Networked Distributed Systems with Partial Measurements via Gaussian Process Regression17 Sep 2026
- 2026Personalized Federated Hierarchical Gaussian Processes for Privacy-Preserving Modeling of Heterogeneous Distributed Systems16 Sep 2026
- 2026Information-Based Calibration of Uncertainty Quantification in Product-of-Experts Gaussian Process Models29 Aug 2026
- 2026Adaptive Nystr"om for Gaussian Process Regression29 Jul 2026
- 2026Hierarchical Bayesian Quadrature12 Jul 2026
- 2026On the Uncertainty Quantification Ability of Tabular Foundation Models31 May 2026
- 2026Don't Fool Me Twice: Adapting to Adversity in the Wild with Experience-Driven Reasoning29 May 2026
- 2026Consensus-based Recursive Multi-Output Gaussian Process11 Apr 2026
- 2026MoBiE: Efficient Inference of Mixture of Binary Experts under Post-Training Quantization8 Apr 2026
- 2026Distributed Quantum Gaussian Processes for Multi-Agent Systems16 Feb 2026
- 2026Quality or Quantity? Error-Informed Selective Online Learning with Gaussian Processes in Multi-Agent Systems: Extended Version10 Jan 2026
- 2025All Emulators are Wrong, Many are Useful, and Some are More Useful Than Others: A Reproducible Comparison of Computer Model Surrogates9 Dec 2025
38 more
- 2025Fast Gaussian Process Approximations for Autocorrelated Data2 Dec 2025
- 2025nuGPR: GPU-Accelerated Gaussian Process Regression with Iterative Algorithms and Low-Rank Approximations14 Oct 2025
- 2025Robust, Online, and Adaptive Decentralized Gaussian Processes22 Sep 2025
- 2025Detecting Urban PM2.5 Hotspots with Mobile Sensing and Gaussian Process Regression21 Sep 2025
- 2025Streaming Generated Gaussian Process Experts for Online Learning and Control: Extended Version5 Aug 2025
- 2025Fast Gaussian process inference by exact Mat'ern kernel decomposition3 Aug 2025
- 2025Adaptive Resolution for Finite-Rank Gaussian Processes29 May 2025
- 2025MoEQuant: Enhancing Quantization for Mixture-of-Experts Large Language Models via Expert-Balanced Sampling and Affinity Guidance2 May 2025
- 2025MoLAE: Mixture of Latent Experts for Parameter-Efficient Language Models29 Mar 2025
- 2025Generating Synthetic Data with Formal Privacy Guarantees: State of the Art and the Road Ahead26 Mar 2025
- 2025Mixture of Lookup Experts20 Mar 2025
- 2025MoE-Loco: Mixture of Experts for Multitask Locomotion11 Mar 2025
- 2025Refined climatologies of future precipitation over High Mountain Asia using probabilistic ensemble learning26 Jan 2025
- 2024No Need to Talk: Asynchronous Mixture of Language Models4 Oct 2024
- 2024GPTreeO: An R package for continual regression with dividing local Gaussian processes1 Oct 2024
- 2024Gaussian Process Upper Confidence Bounds in Distributed Point Target Tracking over Wireless Sensor Networks11 Sep 2024
- 2024Aggregation Models with Optimal Weights for Distributed Gaussian Processes1 Aug 2024
- 2024Contraction rates for conjugate gradient and Lanczos approximate posteriors in Gaussian process regression18 Jun 2024
- 2024Training-efficient density quantum machine learning30 May 2024
- 2024Fusion of Gaussian Processes Predictions with Monte Carlo Sampling3 Mar 2024
- 2024Cooperative Learning with Gaussian Processes for Euler-Lagrange Systems Tracking Control under Switching Topologies5 Feb 2024
- 2024Whom to Trust? Elective Learning for Distributed Gaussian Process Regression5 Feb 2024
- 2023Distributed Optimization via Kernelized Multi-armed Bandits7 Dec 2023
- 2023Online Student-t Processes with an Overall-local Scale Structure for Modelling Non-stationary Data1 Nov 2023
- 2023Trigonometric Quadrature Fourier Features for Scalable Gaussian Process Regression23 Oct 2023
- 2023Model Merging by Uncertainty-Based Gradient Matching19 Oct 2023
- 2023Online Constraint Tightening in Stochastic Model Predictive Control: A Regression Approach4 Oct 2023
- 2023Neural Operator Variational Inference based on Regularized Stein Discrepancy for Deep Gaussian Processes22 Sep 2023
- 2023Learning-based Control for PMSM Using Distributed Gaussian Processes with Optimal Aggregation Strategy26 Jul 2023
- 2023Beyond Intuition, a Framework for Applying GPs to Real-World Data6 Jul 2023
- 2023Leveraging Locality and Robustness to Achieve Massively Scalable Gaussian Process Regression26 Jun 2023
- 2023Stochastic Marginal Likelihood Gradients using Neural Tangent Kernels6 Jun 2023
- 2023Vecchia Gaussian Process Ensembles on Internal Representations of Deep Neural Networks26 May 2023
- 2023A Global-Local Approximation Framework for Large-Scale Gaussian Process Modeling17 May 2023
- 2023Actually Sparse Variational Gaussian Processes11 Apr 2023
- 2023Sequential Estimation of Gaussian Process-based Deep State-Space Models29 Jan 2023
- 2023Multi-view Kernel PCA for Time series Forecasting24 Jan 2023
- 2022Bayesian data fusion with shared priors14 Dec 2022
50 newest of 84 All 84 (JSON)
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
- 2022Residual Mixture of Expertscited by 39
- 2025MoEQuant: Enhancing Quantization for Mixture-of-Experts Large Language Models via Expert-Balanced Sampling and Affinity Guidancecited by 32
- 2025MoE-Loco: Mixture of Experts for Multitask Locomotioncited by 17
- 2025Mixture of Lookup Expertscited by 11
- 2025MoLAE: Mixture of Latent Experts for Parameter-Efficient Language Modelscited by 7
- 2019Hierarchical Routing Mixture of Expertscited by 5
- 2026MoBiE: Efficient Inference of Mixture of Binary Experts under Post-Training Quantizationcited by 2
- 2026MoBiE: Efficient Inference of Mixture of Binary Experts under Post-Training Quantization8 Apr 2026
- 2025MoEQuant: Enhancing Quantization for Mixture-of-Experts Large Language Models via Expert-Balanced Sampling and Affinity Guidance2 May 2025
- 2025MoLAE: Mixture of Latent Experts for Parameter-Efficient Language Models29 Mar 2025
- 2025Mixture of Lookup Experts20 Mar 2025
- 2025MoE-Loco: Mixture of Experts for Multitask Locomotion11 Mar 2025
- 2022Residual Mixture of Experts20 Apr 2022
- 2019Hierarchical Routing Mixture of Experts18 Mar 2019
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layer23 Jan 2017
- 2020Gaussian-Process-based Robot Learning from Demonstrationcited by 5
- 2020Gaussian-Process-based Robot Learning from Demonstration23 Feb 2020
- 2023Model Merging by Uncertainty-Based Gradient Matchingcited by 77
- 2021Local approximate Gaussian process regression for data-driven constitutive laws: Development and comparison with neural networkscited by 17
- 2021Bias-Free Scalable Gaussian Processes via Randomized Truncationscited by 15
- 2021Incremental Ensemble Gaussian Processescited by 15
- 2023Stochastic Marginal Likelihood Gradients using Neural Tangent Kernelscited by 10
- 2024Training-efficient density quantum machine learningcited by 10
- 2021The Fast Kernel Transformcited by 8
- 2021Leveraging Probabilistic Circuits for Nonparametric Multi-Output Regressioncited by 8
- 2021Federated Gaussian Process: Convergence, Automatic Personalization and Multi-fidelity Modelingcited by 8
- 2022Scalable Gaussian-process regression and variable selection using Vecchia approximationscited by 8
- 2022Hierarchical Policy Blending as Inference for Reactive Robot Controlcited by 8
- 2021Correlated Product of Experts for Sparse Gaussian Process Regressioncited by 7
12 most cited of 74 All 74 (JSON)
- 2026COIN-GP: Cooperative Online Learning in Networked Distributed Systems with Partial Measurements via Gaussian Process Regression17 Sep 2026
- 2026Personalized Federated Hierarchical Gaussian Processes for Privacy-Preserving Modeling of Heterogeneous Distributed Systems16 Sep 2026
- 2026Information-Based Calibration of Uncertainty Quantification in Product-of-Experts Gaussian Process Models29 Aug 2026
- 2026Adaptive Nystr"om for Gaussian Process Regression29 Jul 2026
- 2026Hierarchical Bayesian Quadrature12 Jul 2026
- 2026On the Uncertainty Quantification Ability of Tabular Foundation Models31 May 2026
- 2026Consensus-based Recursive Multi-Output Gaussian Process11 Apr 2026
- 2026Distributed Quantum Gaussian Processes for Multi-Agent Systems16 Feb 2026
- 2026Quality or Quantity? Error-Informed Selective Online Learning with Gaussian Processes in Multi-Agent Systems: Extended Version10 Jan 2026
- 2025All Emulators are Wrong, Many are Useful, and Some are More Useful Than Others: A Reproducible Comparison of Computer Model Surrogates9 Dec 2025
- 2025Fast Gaussian Process Approximations for Autocorrelated Data2 Dec 2025
- 2025nuGPR: GPU-Accelerated Gaussian Process Regression with Iterative Algorithms and Low-Rank Approximations14 Oct 2025
12 newest of 74 All 74 (JSON)