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A key advance in learning generative models is the use of amortized inference distributions that are jointly trained with the models. We find that existing training objectives for variational autoencoders can lead to inaccurate amortized…

Machine Learning · Computer Science 2018-05-31 Shengjia Zhao , Jiaming Song , Stefano Ermon

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…

Machine Learning · Statistics 2025-03-06 Paul E. Chang , Nasrulloh Loka , Daolang Huang , Ulpu Remes , Samuel Kaski , Luigi Acerbi

Structural Causal Models (SCMs) offer a principled framework to reason about interventions and support out-of-distribution generalization, which are key goals in scientific discovery. However, the task of learning SCMs from observed data…

Machine Learning · Computer Science 2026-04-06 Divyat Mahajan , Jannes Gladrow , Agrin Hilmkil , Cheng Zhang , Meyer Scetbon

Variational autoencoders employ an amortized inference model to approximate the posterior of latent variables. However, such amortized variational inference faces two challenges: (1) the limited posterior expressiveness of fully-factorized…

Machine Learning · Computer Science 2022-12-01 Yookoon Park , Chris Dongjoo Kim , Gunhee Kim

Amortized inference allows latent-variable models trained via variational learning to scale to large datasets. The quality of approximate inference is determined by two factors: a) the capacity of the variational distribution to match the…

Machine Learning · Computer Science 2018-05-29 Chris Cremer , Xuechen Li , David Duvenaud

Inverse problems, i.e., estimating parameters of physical models from experimental data, are ubiquitous in science and engineering. The Bayesian formulation is the gold standard because it alleviates ill-posedness issues and quantifies…

Machine Learning · Statistics 2024-05-28 Sharmila Karumuri , Ilias Bilionis

Variational inference (VI) plays an essential role in approximate Bayesian inference due to its computational efficiency and broad applicability. Crucial to the performance of VI is the selection of the associated divergence measure, as VI…

Machine Learning · Computer Science 2021-06-24 Ruqi Zhang , Yingzhen Li , Christopher De Sa , Sam Devlin , Cheng Zhang

As models of cognition grow in complexity and number of parameters, Bayesian inference with standard methods can become intractable, especially when the data-generating model is of unknown analytic form. Recent advances in simulation-based…

Machine Learning · Statistics 2020-07-14 Stefan T. Radev , Andreas Voss , Eva Marie Wieschen , Paul-Christian Bürkner

Meta-learning is a framework in which machine learning models train over a set of datasets in order to produce predictions on new datasets at test time. Probabilistic meta-learning has received an abundance of attention from the research…

Machine Learning · Statistics 2023-09-07 Tommy Rochussen

Amortized Bayesian inference trains neural networks to solve stochastic inference problems using model simulations, thereby making it possible to rapidly perform Bayesian inference for any newly observed data. However, current…

Machine Learning · Computer Science 2024-07-16 Manuel Gloeckler , Michael Deistler , Christian Weilbach , Frank Wood , Jakob H. Macke

Variational autoencoders (VAEs) rely on amortized variational inference to enable efficient posterior approximation, but this efficiency comes at the cost of a shared parametrization, giving rise to the amortization gap. We propose the…

Machine Learning · Computer Science 2026-04-21 Andrea Pollastro , Andrea Apicella , Francesco Isgrò , Roberto Prevete

In this paper, we introduce a new form of amortized variational inference by using the forward KL divergence in a joint-contrastive variational loss. The resulting forward amortized variational inference is a likelihood-free method as its…

In meta-learning an agent extracts knowledge from observed tasks, aiming to facilitate learning of novel future tasks. Under the assumption that future tasks are 'related' to previous tasks, the accumulated knowledge should be learned in a…

Machine Learning · Statistics 2019-05-21 Ron Amit , Ron Meir

As one of the most popular generative models, Variational Autoencoder (VAE) approximates the posterior of latent variables based on amortized variational inference. However, when the decoder network is sufficiently expressive, VAE may lead…

Machine Learning · Computer Science 2021-10-26 Dazhong Shen , Chuan Qin , Chao Wang , Hengshu Zhu , Enhong Chen , Hui Xiong

We consider the problem of state estimation in general state-space models using variational inference. For a generic variational family defined using the same backward decomposition as the actual joint smoothing distribution, we establish…

Methodology · Statistics 2022-06-02 Mathis Chagneux , Élisabeth Gassiat , Pierre Gloaguen , Sylvain Le Corff

Inferring causal structure poses a combinatorial search problem that typically involves evaluating structures with a score or independence test. The resulting search is costly, and designing suitable scores or tests that capture prior…

Machine Learning · Computer Science 2022-12-16 Lars Lorch , Scott Sussex , Jonas Rothfuss , Andreas Krause , Bernhard Schölkopf

Gradient-based meta-learners such as MAML are able to learn a meta-prior from similar tasks to adapt to novel tasks from the same distribution with few gradient updates. One important limitation of such frameworks is that they seek a common…

Machine Learning · Computer Science 2018-12-19 Risto Vuorio , Shao-Hua Sun , Hexiang Hu , Joseph J. Lim

Models that employ latent variables to capture structure in observed data lie at the heart of many current unsupervised learning algorithms, but exact maximum-likelihood learning for powerful and flexible latent-variable models is almost…

Machine Learning · Statistics 2020-08-18 Li K. Wenliang , Theodore Moskovitz , Heishiro Kanagawa , Maneesh Sahani

Since the turn of the century, approximate Bayesian inference has steadily evolved as new computational techniques have been incorporated to handle increasingly complex and large-scale predictive problems. The recent success of deep neural…

Machine Learning · Statistics 2026-01-14 Roy Shivam Ram Shreshtth , Arnab Hazra , Gourab Mukherjee

The framework of variational autoencoders allows us to efficiently learn deep latent-variable models, such that the model's marginal distribution over observed variables fits the data. Often, we're interested in going a step further, and…

Machine Learning · Statistics 2020-12-22 Ilyes Khemakhem , Diederik P. Kingma , Ricardo Pio Monti , Aapo Hyvärinen