Amortized Probabilistic Conditioning for Optimization, Simulation and Inference

Paul E. Chang, Nasrulloh Loka, Daolang Huang, Ulpu Remes, Samuel Kaski, Luigi Acerbi

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Abstract

Amortized meta-learning methods based on pre-training have propelled fields like natural language processing and vision. Transformer-based neural processes and their variants are leading models for probabilistic meta-learning with a tractable objective. Often trained on synthetic data, these models implicitly capture essential latent information in the data-generation process. However, existing methods do not allow users to flexibly inject (condition on) and extract (predict) this probabilistic latent information at runtime, which is key to many tasks. We introduce the Amortized Conditioning Engine (ACE), a new transformer-based meta-learning model that explicitly represents latent variables of interest. ACE affords conditioning on both observed data and interpretable latent variables, the inclusion of priors at runtime, and outputs predictive distributions for discrete and continuous data and latents. We show ACE's practical utility across diverse tasks such as image completion and classification, Bayesian optimization, and simulation-based inference, demonstrating how a general conditioning framework can replace task-specific solutions.

Original languageEnglish
Title of host publicationProceedings of the 28th International Conference on Artificial Intelligence and Statistics (AISTATS) 2025
PublisherJMLR
Pages703-711
Number of pages9
Publication statusPublished - 2025
MoE publication typeA4 Conference publication
EventInternational Conference on Artificial Intelligence and Statistics - Splash Beach Resort, Mai Khao, Thailand
Duration: 3 May 20255 May 2025
Conference number: 28
https://aistats.org/aistats2025/

Publication series

NameProceedings of Machine Learning Research
PublisherJMLR
Volume258
ISSN (Print)2640-3498

Conference

ConferenceInternational Conference on Artificial Intelligence and Statistics
Abbreviated titleAISTATS
Country/TerritoryThailand
CityMai Khao
Period03/05/202505/05/2025
Internet address

Funding

PC, DH, UR, SK, and LA were supported by the Research Council of Finland (Flagship programme: Finnish Center for Artificial Intelligence FCAI). NL was funded by Business Finland (project 3576/31/2023). LA was also supported by Research Council of Finland grants 358980 and 356498. SK was also supported by the UKRI Turing AI World-Leading Researcher Fellowship, [EP/W002973/1]. The authors wish to thank the Finnish Computing Competence Infrastructure (FCCI), Aalto Science-IT project, and CSC-IT Center for Science, Finland, for the computational and data storage resources provided, including access to the LUMI supercomputer, owned by the EuroHPC Joint Undertaking, hosted by CSC (Finland) and the LUMI consortium (LUMI project 462000551).

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