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Adaptive inference schemes reduce the cost of machine learning inference by assigning smaller models to easier examples, attempting to avoid invocation of larger models when possible. In this work we explore a simple, effective adaptive…

机器学习 · 计算机科学 2025-10-13 Steven Kolawole , Don Dennis , Ameet Talwalkar , Virginia Smith

One of the core problems of modern statistics is to approximate difficult-to-compute probability densities. This problem is especially important in Bayesian statistics, which frames all inference about unknown quantities as a calculation…

统计计算 · 统计学 2018-05-11 David M. Blei , Alp Kucukelbir , Jon D. McAuliffe

The unsupervised task of aligning two or more distributions in a shared latent space has many applications including fair representations, batch effect mitigation, and unsupervised domain adaptation. Existing flow-based approaches estimate…

机器学习 · 计算机科学 2022-03-17 Zeyu Zhou , Ziyu Gong , Pradeep Ravikumar , David I. Inouye

In multiphase flow systems, classifying flow patterns is crucial to optimize fluid dynamics and enhance system efficiency. Current industrial methods and scientific laboratories mainly depend on techniques such as flow visualization using…

机器学习 · 计算机科学 2025-02-27 Nian Ran , Fayez M. Al-Alweet , Richard Allmendinger , Ahmad Almakhlafi

In this paper we propose Discretely Indexed flows (DIF) as a new tool for solving variational estimation problems. Roughly speaking, DIF are built as an extension of Normalizing Flows (NF), in which the deterministic transport becomes…

Large language model (LLM) agents are increasingly capable of orchestrating complex tasks in low-code environments. However, these agents often exhibit hallucinations and logical inconsistencies because their inherent reasoning mechanisms…

人工智能 · 计算机科学 2025-10-09 Jiexi Xu , Jiaqi Liu , Lanruo Wang , Su Liu

Variance reduction is a family of powerful mechanisms for stochastic optimization that appears to be helpful in many machine learning tasks. It is based on estimating the exact gradient with some recursive sequences. Previously, many papers…

最优化与控制 · 数学 2025-11-07 Aleksandr Shestakov , Valery Parfenov , Aleksandr Beznosikov

Semi-implicit variational inference (SIVI) has been introduced to expand the analytical variational families by defining expressive semi-implicit distributions in a hierarchical manner. However, the single-layer architecture commonly used…

机器学习 · 计算机科学 2023-10-27 Longlin Yu , Tianyu Xie , Yu Zhu , Tong Yang , Xiangyu Zhang , Cheng Zhang

Stochastic variational inference makes it possible to approximate posterior distributions induced by large datasets quickly using stochastic optimization. The algorithm relies on the use of fully factorized variational distributions.…

机器学习 · 计算机科学 2014-11-27 Matthew D. Hoffman , David M. Blei

Prediction of future states of the environment and interacting agents is a key competence required for autonomous agents to operate successfully in the real world. Prior work for structured sequence prediction based on latent variable…

计算机视觉与模式识别 · 计算机科学 2020-08-19 Apratim Bhattacharyya , Michael Hanselmann , Mario Fritz , Bernt Schiele , Christoph-Nikolas Straehle

Flow models are a cornerstone of modern machine learning. They are generative models that progressively transform probability distributions according to learned dynamics. Specifically, they learn a continuous-time Markov process that…

量子物理 · 物理学 2025-10-10 David Layden , Ryan Sweke , Vojtěch Havlíček , Anirban Chowdhury , Kirill Neklyudov

Variational inference is a powerful approach for approximate posterior inference. However, it is sensitive to initialization and can be subject to poor local optima. In this paper, we develop proximity variational inference (PVI). PVI is a…

机器学习 · 统计学 2017-05-26 Jaan Altosaar , Rajesh Ranganath , David M. Blei

Normalizing Flows are a promising new class of algorithms for unsupervised learning based on maximum likelihood optimization with change of variables. They offer to learn a factorized component representation for complex nonlinear data and,…

机器学习 · 计算机科学 2020-02-17 Reuben Feinman , Nikhil Parthasarathy

Recent years have witnessed growing interest in semi-implicit variational inference (SIVI) methods due to their ability to rapidly generate samples from complex distributions. However, since the likelihood of these samples is non-trivial to…

机器学习 · 计算机科学 2025-06-05 Tobias Pielok , Bernd Bischl , David Rügamer

Mean-field variational inference (MFVI) has been widely applied in large scale Bayesian inference. However MFVI, which assumes a product distribution on the latent variables, often leads to objective functions with many local optima, making…

统计理论 · 数学 2020-03-03 Mingzhang Yin , Y. X. Rachel Wang , Purnamrita Sarkar

A stable partitioned algorithm for fluid-structure interaction (FSI) problems that couple viscous incompressible flow with structural shells or beams is described. This added-mass partitioned (AMP) scheme uses Robin (mixed) interface…

数值分析 · 数学 2013-08-28 J. W. Banks , W. D. Henshaw , D. W. Schwendeman

Sampling a probability distribution with an unknown normalization constant is a fundamental problem in computational science and engineering. This task may be cast as an optimization problem over all probability measures, and an initial…

机器学习 · 统计学 2024-09-12 Yifan Chen , Daniel Zhengyu Huang , Jiaoyang Huang , Sebastian Reich , Andrew M. Stuart

We develop a Coordinate Ascent Variational Inference (CAVI) algorithm for Bayesian Mixed Data Sampling (MIDAS) regression with linear weight parameterizations. The model separates impact coeffcients from weighting function parameters…

机器学习 · 计算机科学 2026-02-24 Luigi Simeone

Invertible flow-based generative models are an effective method for learning to generate samples, while allowing for tractable likelihood computation and inference. However, the invertibility requirement restricts models to have the same…

机器学习 · 计算机科学 2020-02-21 Abhishek Kumar , Ben Poole , Kevin Murphy

Modern Bayesian inference involves a mixture of computational techniques for estimating, validating, and drawing conclusions from probabilistic models as part of principled workflows for data analysis. Typical problems in Bayesian workflows…