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We introduce the Convolutional Conditional Neural Process (ConvCNP), a new member of the Neural Process family that models translation equivariance in the data. Translation equivariance is an important inductive bias for many learning…

We introduce Graph Neural Processes (GNP), inspired by the recent work in conditional and latent neural processes. A Graph Neural Process is defined as a Conditional Neural Process that operates on arbitrary graph data. It takes features of…

Machine Learning · Computer Science 2019-10-03 Andrew Carr , David Wingate

Neural Processes (NPs) are powerful and flexible models able to incorporate uncertainty when representing stochastic processes, while maintaining a linear time complexity. However, NPs produce a latent description by aggregating independent…

Machine Learning · Computer Science 2020-09-30 Ben Day , Cătălina Cangea , Arian R. Jamasb , Pietro Liò

Neural Processes (NPs), and specifically Transformer Neural Processes (TNPs), have demonstrated remarkable performance across tasks ranging from spatiotemporal forecasting to tabular data modelling. However, many of these applications are…

Machine Learning · Computer Science 2026-02-24 Philip Mortimer , Cristiana Diaconu , Tommy Rochussen , Bruno Mlodozeniec , Richard E. Turner

The wide adoption of Convolutional Neural Networks (CNNs) in applications where decision-making under uncertainty is fundamental, has brought a great deal of attention to the ability of these models to accurately quantify the uncertainty in…

Machine Learning · Statistics 2018-05-29 Gia-Lac Tran , Edwin V. Bonilla , John P. Cunningham , Pietro Michiardi , Maurizio Filippone

Neural processes are meta-learning models that map context sets to predictive distributions. While inspired by stochastic processes, NPs do not generally satisfy the Kolmogorov consistency conditions required to define a valid stochastic…

Machine Learning · Computer Science 2026-04-22 Robin Young

Neural processes (NPs) are a powerful family of meta-learning models that seek to approximate the posterior predictive map of the ground-truth stochastic process from which each dataset in a meta-dataset is sampled. There are many cases in…

Machine Learning · Computer Science 2024-06-21 Matthew Ashman , Cristiana Diaconu , Adrian Weller , Richard E. Turner

Neural Processes combine the strengths of neural networks and Gaussian processes to achieve both flexible learning and fast prediction in stochastic processes. However, a large class of problems comprises underlying temporal dependency…

Machine Learning · Computer Science 2019-10-29 Gautam Singh , Jaesik Yoon , Youngsung Son , Sungjin Ahn

Active learning methods for neural networks are usually based on greedy criteria which ultimately give a single new design point for the evaluation. Such an approach requires either some heuristics to sample a batch of design points at one…

Machine Learning · Computer Science 2020-01-28 Evgenii Tsymbalov , Sergei Makarychev , Alexander Shapeev , Maxim Panov

We introduce a new approach to functional causal modeling from observational data, called Causal Generative Neural Networks (CGNN). CGNN leverages the power of neural networks to learn a generative model of the joint distribution of the…

A new model is presented for multisite statistical downscaling of temperature and precipitation using convolutional conditional neural processes (convCNPs). ConvCNPs are a recently developed class of models that allow deep learning…

Machine Learning · Computer Science 2021-01-21 Anna Vaughan , Will Tebbutt , J. Scott Hosking , Richard E. Turner

Neural Processes (NPs) consider a task as a function realized from a stochastic process and flexibly adapt to unseen tasks through inference on functions. However, naive NPs can model data from only a single stochastic process and are…

Machine Learning · Computer Science 2022-03-28 Donggyun Kim , Seongwoong Cho , Wonkwang Lee , Seunghoon Hong

Graph Neural Networks (GNNs) have advanced spatiotemporal forecasting by leveraging relational inductive biases among sensors (or any other measuring scheme) represented as nodes in a graph. However, current methods often rely on Recurrent…

Machine Learning · Computer Science 2024-05-30 Aref Einizade , Fragkiskos D. Malliaros , Jhony H. Giraldo

We construct flexible likelihoods for multi-output Gaussian process models that leverage neural networks as components. We make use of sparse variational inference methods to enable scalable approximate inference for the resulting class of…

Machine Learning · Statistics 2019-06-03 Martin Jankowiak , Jacob Gardner

Probabilistic inference algorithms such as Sequential Monte Carlo (SMC) provide powerful tools for constraining procedural models in computer graphics, but they require many samples to produce desirable results. In this paper, we show how…

Graphics · Computer Science 2016-10-17 Daniel Ritchie , Anna Thomas , Pat Hanrahan , Noah D. Goodman

A Neural Process (NP) estimates a stochastic process implicitly defined with neural networks given a stream of data, rather than pre-specifying priors already known, such as Gaussian processes. An ideal NP would learn everything from data…

Machine Learning · Computer Science 2023-04-20 Hyungi Lee , Eunggu Yun , Giung Nam , Edwin Fong , Juho Lee

Neural processes (NPs) constitute a family of variational approximate models for stochastic processes with promising properties in computational efficiency and uncertainty quantification. These processes use neural networks with latent…

Machine Learning · Computer Science 2020-11-03 Qi Wang , Herke van Hoof

Non-conjugate Gaussian processes (NCGPs) define a flexible probabilistic framework to model categorical, ordinal and continuous data, and are widely used in practice. However, exact inference in NCGPs is prohibitively expensive for large…

Machine Learning · Computer Science 2025-04-18 Lukas Tatzel , Jonathan Wenger , Frank Schneider , Philipp Hennig

Neural Processes (NPs) are deep probabilistic models that represent stochastic processes by conditioning their prior distributions on a set of context points. Despite their advantages in uncertainty estimation for complex distributions, NPs…

Machine Learning · Computer Science 2025-06-04 Xuesong Wang , He Zhao , Edwin V. Bonilla

Neural-net-induced Gaussian process (NNGP) regression inherits both the high expressivity of deep neural networks (deep NNs) as well as the uncertainty quantification property of Gaussian processes (GPs). We generalize the current NNGP to…

Machine Learning · Computer Science 2019-03-27 Guofei Pang , Liu Yang , George Em Karniadakis