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We introduce priors and algorithms to perform Bayesian inference in Gaussian models defined by acyclic directed mixed graphs. Such a class of graphs, composed of directed and bi-directed edges, is a representation of conditional…

统计方法学 · 统计学 2012-07-02 Ricardo Silva , Zoubin Ghahramani

On time-series data, most causal discovery methods fit a new model whenever they encounter samples from a new underlying causal graph. However, these samples often share relevant information which is lost when following this approach.…

机器学习 · 计算机科学 2022-02-24 Sindy Löwe , David Madras , Richard Zemel , Max Welling

Prior-data fitted networks (PFNs) were recently proposed as a new paradigm for machine learning. Instead of training the network to an observed training set, a fixed model is pre-trained offline on small, simulated training sets from a…

机器学习 · 统计学 2023-05-19 Thomas Nagler

Unsupervised domain adaptation for object detection is a challenging problem with many real-world applications. Unfortunately, it has received much less attention than supervised object detection. Models that try to address this task tend…

计算机视觉与模式识别 · 计算机科学 2021-06-11 Hongsong Wang , Shengcai Liao , Ling Shao

Bayesian neural networks (BNNs) have recently gained popularity due to their ability to quantify model uncertainty. However, specifying a prior for BNNs that captures relevant domain knowledge is often extremely challenging. In this work,…

机器学习 · 计算机科学 2024-02-22 Dylan Sam , Rattana Pukdee , Daniel P. Jeong , Yewon Byun , J. Zico Kolter

Continuously-indexed flows (CIFs) have recently achieved improvements over baseline normalizing flows on a variety of density estimation tasks. CIFs do not possess a closed-form marginal density, and so, unlike standard flows, cannot be…

机器学习 · 统计学 2021-06-16 Anthony Caterini , Rob Cornish , Dino Sejdinovic , Arnaud Doucet

While Bayesian inference provides a principled framework for reasoning under uncertainty, its widespread adoption is limited by the intractability of exact posterior computation, necessitating the use of approximate inference. However,…

机器学习 · 统计学 2026-05-19 George Whittle , Juliusz Ziomek , Jacob Rawling , Maike A. Osborne

Factors models are routinely used to analyze high-dimensional data in both single-study and multi-study settings. Bayesian inference for such models relies on Markov Chain Monte Carlo (MCMC) methods which scale poorly as the number of…

统计方法学 · 统计学 2025-04-29 Blake Hansen , Alejandra Avalos-Pacheco , Massimiliano Russo , Roberta De Vito

Bayesian Neural Networks (BNNs) place priors over the parameters in a neural network. Inference in BNNs, however, is difficult; all inference methods for BNNs are approximate. In this work, we empirically compare the quality of predictive…

机器学习 · 计算机科学 2019-06-25 Jiayu Yao , Weiwei Pan , Soumya Ghosh , Finale Doshi-Velez

Simulation-based inference (SBI) offers a flexible and general approach to performing Bayesian inference: In SBI, a neural network is trained on synthetic data simulated from a model and used to rapidly infer posterior distributions for…

机器学习 · 计算机科学 2025-10-28 Julius Vetter , Manuel Gloeckler , Daniel Gedon , Jakob H. Macke

Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

人工智能 · 计算机科学 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

Bayesian matrix factorization (BMF) is a powerful tool for producing low-rank representations of matrices and for predicting missing values and providing confidence intervals. Scaling up the posterior inference for massive-scale matrices is…

机器学习 · 统计学 2019-02-28 Xiangju Qin , Paul Blomstedt , Eemeli Leppäaho , Pekka Parviainen , Samuel Kaski

Incorporating a deep generative model as the prior distribution in inverse problems has established substantial success in reconstructing images from corrupted observations. Notwithstanding, the existing optimization approaches use gradient…

机器学习 · 计算机科学 2023-01-31 Tianci Liu , Tong Yang , Quan Zhang , Qi Lei

We consider problems of parameter estimation where design variables can be actively optimized to maximize information gain. To this end, we introduce JADAI, a framework that jointly amortizes Bayesian adaptive design and inference by…

Bayesian inference often faces a trade-off between computational speed and sampling accuracy. We propose an adaptive workflow that integrates rapid amortized inference with gold-standard MCMC techniques to achieve a favorable combination of…

机器学习 · 计算机科学 2026-02-19 Chengkun Li , Aki Vehtari , Paul-Christian Bürkner , Stefan T. Radev , Luigi Acerbi , Marvin Schmitt

We propose Amortized Posterior Sampling (APS), a novel variational inference approach for efficient posterior sampling in inverse problems. Our method trains a conditional flow model to minimize the divergence between the variational…

计算机视觉与模式识别 · 计算机科学 2025-07-14 Abbas Mammadov , Hyungjin Chung , Jong Chul Ye

We introduce a new approach for amortizing inference in directed graphical models by learning heuristic approximations to stochastic inverses, designed specifically for use as proposal distributions in sequential Monte Carlo methods. We…

机器学习 · 统计学 2018-03-09 Brooks Paige , Frank Wood

We report the application of implicit likelihood inference to the prediction of the macro-parameters of strong lensing systems with neural networks. This allows us to perform deep learning analysis of lensing systems within a well-defined…

天体物理仪器与方法 · 物理学 2023-01-25 Ronan Legin , Yashar Hezaveh , Laurence Perreault-Levasseur , Benjamin Wandelt

We introduce Amortized Neural Networks (AmNets), a compute cost- and latency-aware network architecture particularly well-suited for sequence modeling tasks. We apply AmNets to the Recurrent Neural Network Transducer (RNN-T) to reduce…

音频与语音处理 · 电气工程与系统科学 2021-08-04 Jonathan Macoskey , Grant P. Strimel , Jinru Su , Ariya Rastrow

Amortized Bayesian inference (ABI) offers fast, scalable approximations to posterior densities by training neural surrogates on data simulated from the statistical model. However, ABI methods are highly sensitive to model misspecification:…