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We extend Neural Processes (NPs) to sequential data through Recurrent NPs or RNPs, a family of conditional state space models. RNPs model the state space with Neural Processes. Given time series observed on fast real-world time scales but…

Machine Learning · Computer Science 2019-11-07 Timon Willi , Jonathan Masci , Jürgen Schmidhuber , Christian Osendorfer

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

The ability to deal with uncertainty in machine learning models has become equally, if not more, crucial to their predictive ability itself. For instance, during the pandemic, governmental policies and personal decisions are constantly made…

Machine Learning · Computer Science 2021-09-03 Xuesong Wang , Lina Yao , Xianzhi Wang , Hye-young Paik , Sen Wang

What functions can Neural Processes represent? We analyze the representational capacity of popular NP architectures: Conditional Neural Processes (CNPs), Attentive Neural Processes (ANPs), Transformer Neural Processes (TNPs), and their…

Machine Learning · Computer Science 2026-05-26 Robin Young

Conditional Neural Processes (CNP; Garnelo et al., 2018) are an attractive family of meta-learning models which produce well-calibrated predictions, enable fast inference at test time, and are trainable via a simple maximum likelihood…

Machine Learning · Computer Science 2021-10-19 Stratis Markou , James Requeima , Wessel Bruinsma , Richard Turner

Neural operators aim to approximate the solution operator of a system of differential equations purely from data. They have shown immense success in modeling complex dynamical systems across various domains. However, the occurrence of…

Machine Learning · Computer Science 2025-04-01 Christopher Bülte , Philipp Scholl , Gitta Kutyniok

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

Reliable predictive uncertainty estimation plays an important role in enabling the deployment of neural networks to safety-critical settings. A popular approach for estimating the predictive uncertainty of neural networks is to define a…

Machine Learning · Statistics 2023-12-29 Tim G. J. Rudner , Zonghao Chen , Yee Whye Teh , Yarin Gal

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…

Discovery and learning of an underlying spatiotemporal hierarchy in sequential data is an important topic for machine learning. Despite this, little work has been done to explore hierarchical generative models that can flexibly adapt their…

Machine Learning · Computer Science 2022-03-29 Alexey Zakharov , Qinghai Guo , Zafeirios Fountas

Neural Processes (NPs; Garnelo et al., 2018a,b) are a rich class of models for meta-learning that map data sets directly to predictive stochastic processes. We provide a rigorous analysis of the standard maximum-likelihood objective used to…

Machine Learning · Statistics 2021-01-12 Wessel P. Bruinsma , James Requeima , Andrew Y. K. Foong , Jonathan Gordon , Richard E. Turner

Continual learning (CL) aims to train deep neural networks efficiently on streaming data while limiting the forgetting caused by new tasks. However, learning transferable knowledge with less interference between tasks is difficult, and…

Machine Learning · Computer Science 2023-10-31 Saurav Jha , Dong Gong , He Zhao , Lina Yao

Sensory processing is often characterized as implementing probabilistic inference: networks of neurons compute posterior beliefs over unobserved causes given the sensory inputs. How these beliefs are computed and represented by neural…

Neurons and Cognition · Quantitative Biology 2018-11-27 Sabyasachi Shivkumar , Richard D. Lange , Ankani Chattoraj , Ralf M. Haefner

Unlike in the traditional statistical modeling for which a user typically hand-specify a prior, Neural Processes (NPs) implicitly define a broad class of stochastic processes with neural networks. Given a data stream, NP learns a stochastic…

Machine Learning · Computer Science 2020-10-28 Juho Lee , Yoonho Lee , Jungtaek Kim , Eunho Yang , Sung Ju Hwang , Yee Whye Teh

Performative prediction is a framework for learning models that influence the data they intend to predict. We focus on finding classifiers that are performatively stable, i.e. optimal for the data distribution they induce. Standard…

Machine Learning · Computer Science 2025-02-07 Mehrnaz Mofakhami , Ioannis Mitliagkas , Gauthier Gidel

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

Neural processes (NPs) learn stochastic processes and predict the distribution of target output adaptively conditioned on a context set of observed input-output pairs. Furthermore, Attentive Neural Process (ANP) improved the prediction…

Machine Learning · Computer Science 2019-10-22 Shenghao Qin , Jiacheng Zhu , Jimmy Qin , Wenshuo Wang , Ding Zhao

The effectiveness of neural processes (NPs) in modelling posterior prediction maps -- the mapping from data to posterior predictive distributions -- has significantly improved since their inception. This improvement can be attributed to two…

This paper investigates the use of probabilistic neural networks (PNNs) to model aleatoric uncertainty, which refers to the inherent variability in the input-output relationships of a system, often characterized by unequal variance or…

Machine Learning · Statistics 2024-02-22 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Scott E. Stapleton

The theory of representation learning aims to build methods that provably invert the data generating process with minimal domain knowledge or any source of supervision. Most prior approaches require strong distributional assumptions on the…

Machine Learning · Computer Science 2022-06-03 Kartik Ahuja , Jason Hartford , Yoshua Bengio