Deep Sigma Point Processes
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Abstract (arXiv)
We introduce Deep Sigma Point Processes, a class of parametric models inspired by the compositional structure of Deep Gaussian Processes (DGPs). Deep Sigma Point Processes (DSPPs) retain many of the attractive features of (variational) DGPs, including mini-batch training and predictive uncertainty that is controlled by kernel basis functions. Importantly, since DSPPs admit a simple maximum likelihood inference procedure, the resulting predictive distributions are not degraded by any posterior approximations. In an extensive empirical comparison on univariate and multivariate regression tasks we find that the resulting predictive distributions are significantly better calibrated than those obtained with other probabilistic methods for scalable regression, including variational DGPs--often by as much as a nat per datapoint.
Key facts. Cited by 16 papers in the map (data through 7 Oct 2026). First posted on arXiv 21 Feb 2020.
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Citing papers per year: 2021: 3; 2022: 2; 2023: 0; 2024: 4; 2025: 5; 2026: 2.
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- 2025Stochastic Process Learning via Operator Flow Matchingcited by 14
- 2024Universal Functional Regression with Neural Operator Flowscited by 9
- 2021Scalable Cross Validation Losses for Gaussian Process Modelscited by 6
- 2021Bayesian Meta-Learning Through Variational Gaussian Processescited by 3
- 2022Gaussian Process Latent Variable Modeling for Few-shot Time Series Forecastingcited by 3
- 2025dynoGP: Deep Gaussian Processes for dynamic system identificationcited by 3
- 2021Uncertainty-aware Remaining Useful Life predictorcited by 2
- 2024Amortized Variational Inference for Deep Gaussian Processescited by 1
- 2025Evaluating Uncertainty in Deep Gaussian Processescited by 1
- 2022Photoelectric Factor Prediction Using Automated Learning and Uncertainty Quantificationcited by 0
- 2024Gradient-enhanced deep Gaussian processes for multifidelity modellingcited by 0
- 2024Deep Q-Exponential Processescited by 0
4 more
- 2025A Physics-Guided Probabilistic Surrogate Modeling Framework for Digital Twins of Underwater Radiated Noisecited by 0
- 2025Deep Gaussian Process Proximal Policy Optimizationcited by 0
- 2026Beliefs Beyond Posteriors: The Predictive Cost of ELBO Bindingcited by 0
- 2026Deep Sigma Point Processes for RCS Modeling in Spaceborne SAR Imagerycited by 0
- 2026Deep Sigma Point Processes for RCS Modeling in Spaceborne SAR Imagery23 Jul 2026
- 2026Beliefs Beyond Posteriors: The Predictive Cost of ELBO Binding8 May 2026
- 2025Deep Gaussian Process Proximal Policy Optimization22 Nov 2025
- 2025A Physics-Guided Probabilistic Surrogate Modeling Framework for Digital Twins of Underwater Radiated Noise30 Sep 2025
- 2025Evaluating Uncertainty in Deep Gaussian Processes24 Apr 2025
- 2025dynoGP: Deep Gaussian Processes for dynamic system identification8 Feb 2025
- 2025Stochastic Process Learning via Operator Flow Matching7 Jan 2025
- 2024Deep Q-Exponential Processes29 Oct 2024
- 2024Amortized Variational Inference for Deep Gaussian Processes18 Sep 2024
- 2024Universal Functional Regression with Neural Operator Flows3 Apr 2024
- 2024Gradient-enhanced deep Gaussian processes for multifidelity modelling25 Feb 2024
- 2022Gaussian Process Latent Variable Modeling for Few-shot Time Series Forecasting20 Dec 2022
4 more
- 2022Photoelectric Factor Prediction Using Automated Learning and Uncertainty Quantification17 Jun 2022
- 2021Bayesian Meta-Learning Through Variational Gaussian Processes21 Oct 2021
- 2021Scalable Cross Validation Losses for Gaussian Process Models24 May 2021
- 2021Uncertainty-aware Remaining Useful Life predictor8 Apr 2021
- 2025Stochastic Process Learning via Operator Flow Matchingcited by 14
- 2025Stochastic Process Learning via Operator Flow Matching7 Jan 2025
- 2024Universal Functional Regression with Neural Operator Flowscited by 9
- 2021Scalable Cross Validation Losses for Gaussian Process Modelscited by 6
- 2021Bayesian Meta-Learning Through Variational Gaussian Processescited by 3
- 2022Gaussian Process Latent Variable Modeling for Few-shot Time Series Forecastingcited by 3
- 2025dynoGP: Deep Gaussian Processes for dynamic system identificationcited by 3
- 2021Uncertainty-aware Remaining Useful Life predictorcited by 2
- 2024Amortized Variational Inference for Deep Gaussian Processescited by 1
- 2025Evaluating Uncertainty in Deep Gaussian Processescited by 1
- 2022Photoelectric Factor Prediction Using Automated Learning and Uncertainty Quantificationcited by 0
- 2024Gradient-enhanced deep Gaussian processes for multifidelity modellingcited by 0
- 2024Deep Q-Exponential Processescited by 0
- 2025A Physics-Guided Probabilistic Surrogate Modeling Framework for Digital Twins of Underwater Radiated Noisecited by 0
12 most cited of 15 All 15 (JSON)
- 2026Deep Sigma Point Processes for RCS Modeling in Spaceborne SAR Imagery23 Jul 2026
- 2026Beliefs Beyond Posteriors: The Predictive Cost of ELBO Binding8 May 2026
- 2025Deep Gaussian Process Proximal Policy Optimization22 Nov 2025
- 2025A Physics-Guided Probabilistic Surrogate Modeling Framework for Digital Twins of Underwater Radiated Noise30 Sep 2025
- 2025Evaluating Uncertainty in Deep Gaussian Processes24 Apr 2025
- 2025dynoGP: Deep Gaussian Processes for dynamic system identification8 Feb 2025
- 2024Deep Q-Exponential Processes29 Oct 2024
- 2024Amortized Variational Inference for Deep Gaussian Processes18 Sep 2024
- 2024Universal Functional Regression with Neural Operator Flows3 Apr 2024
- 2024Gradient-enhanced deep Gaussian processes for multifidelity modelling25 Feb 2024
- 2022Gaussian Process Latent Variable Modeling for Few-shot Time Series Forecasting20 Dec 2022
- 2022Photoelectric Factor Prediction Using Automated Learning and Uncertainty Quantification17 Jun 2022
12 newest of 15 All 15 (JSON)