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We establish the theoretical framework for adjoint-based phase reduction analysis for incompressible periodic flows. Through this adjoint-based method, we obtain spatiotemporal phase sensitivity fields through a single pair of forward and…

流体动力学 · 物理学 2022-10-11 Yoji Kawamura , Vedasri Godavarthi , Kunihiko Taira

Multi-modal and high-dimensional posteriors present significant challenges for variational inference, causing mode-seeking behavior and collapse despite the theoretical expressiveness of normalizing flows. Traditional annealing methods…

机器学习 · 统计学 2025-05-16 Juehang Qin , Shixiao Liang , Christopher Tunnell

The lattice Boltzmann method (LBM) has shown its promising capability in simulating microscale gas flows. However, the suitable boundary condition is still one of the critical issues for the LBM to model microgaseous flows involving curved…

计算物理 · 物理学 2021-01-01 Liang Wang , Shi Tao , Junjie Hu , Kai Zhang , Gui Lu

In this paper, several projection method based preconditioners for various incompressible flow models are studied. In particular, we are interested in the theoretical analysis of a pressure-correction projection method based preconditioner…

数值分析 · 数学 2013-12-12 Mingchao Cai

We present an alternative to reweighting techniques for modifying distributions to account for a desired change in an underlying conditional distribution, as is often needed to correct for mis-modelling in a simulated sample. We employ…

高能物理 - 唯象学 · 物理学 2023-05-01 Malte Algren , Tobias Golling , Manuel Guth , Chris Pollard , John Andrew Raine

Variational inference is a popular method for estimating model parameters and conditional distributions in hierarchical and mixed models, which arise frequently in many settings in the health, social, and biological sciences. Variational…

统计方法学 · 统计学 2019-01-10 Ted Westling , Tyler H. McCormick

Forecasting neural activity in response to naturalistic stimuli remains a key challenge for understanding brain dynamics and enabling downstream neurotechnological applications. Here, we introduce a generative forecasting framework for…

神经元与认知 · 定量生物学 2026-04-14 Nicole Rogalla , Yuzhen Qin , Mario Senden , Ahmed El-Gazzar , Marcel van Gerven

Amortised inference enables scalable learning of sequential latent-variable models (LVMs) with the evidence lower bound (ELBO). In this setting, variational posteriors are often only partially conditioned. While the true posteriors depend,…

机器学习 · 计算机科学 2021-03-18 Justin Bayer , Maximilian Soelch , Atanas Mirchev , Baris Kayalibay , Patrick van der Smagt

We introduce a new predictive mechanism that operates in the presence of hidden confounding across distributionally diverse data sources while ensuring consistent estimation of causal parameters-despite their recognized suboptimality for…

统计理论 · 数学 2025-04-01 Carlos García Meixide , David Ríos Insua

We introduce Pawsterior, a variational flow-matching framework for improved and extended simulation-based inference (SBI). Many SBI problems involve posteriors constrained by structured domains, such as bounded physical parameters or hybrid…

机器学习 · 计算机科学 2026-03-10 Jorge Carrasco-Pollo , Floor Eijkelboom , Jan-Willem van de Meent

From medical diagnosis to autonomous vehicles, critical applications rely on the integration of multiple heterogeneous data modalities. Multimodal Variational Autoencoders offer versatile and scalable methods for generating unobserved…

机器学习 · 计算机科学 2025-02-07 Agathe Senellart , Stéphanie Allassonnière

Accurate acoustic simulations of enclosed spaces require precise boundary conditions, typically expressed through surface impedances for wave-based methods. Conventional measurement techniques often rely on simplifying assumptions about the…

声音 · 计算机科学 2026-04-09 Jonas M. Schmid , Johannes D. Schmid , Martin Eser , Steffen Marburg

A machine learning method to predict steady external fluid flows using elliptic input features is introduced. Using data from as few as one high-fidelity simulation, the proposed method produces models generalizable under changes to…

流体动力学 · 物理学 2025-01-28 Kazuko W. Fuchi , Eric M. Wolf , David S. Makhija , Christopher R. Schrock , Philip S. Beran

We propose an efficient framework for amortized conditional inference by leveraging exact conditional score-guided diffusion models to train a non-reversible neural network as a conditional generative model. Traditional normalizing flow…

计算工程、金融与科学 · 计算机科学 2025-06-24 Zezhong Zhang , Caroline Tatsuoka , Dongbin Xiu , Guannan Zhang

We propose methods that augment existing numerical schemes for the simulation of hyperbolic balance laws with Dirichlet boundary conditions to allow for the simulation of a broad class of differential algebraic conditions. Our approach is…

数值分析 · 数学 2021-06-22 Edward W. G. Skevington

Causal inference, estimating causal effects from observational data, is a fundamental tool in many disciplines. Of particular importance across a variety of domains is the continuous treatment setting, where the variable of intervention has…

机器学习 · 计算机科学 2026-05-15 Christopher Stith , Medha Barath , Vahid Balazadeh , Jesse C. Cresswell , Rahul G. Krishnan

Generalized latent factor analysis not only provides a useful latent embedding approach in statistics and machine learning, but also serves as a widely used tool across various scientific fields, such as psychometrics, econometrics, and…

统计方法学 · 统计学 2025-08-11 Chengyu Cui , Gongjun Xu

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…

统计方法学 · 统计学 2022-06-02 Mathis Chagneux , Élisabeth Gassiat , Pierre Gloaguen , Sylvain Le Corff

We posit that autoregressive flow models are well-suited to performing a range of causal inference tasks - ranging from causal discovery to making interventional and counterfactual predictions. In particular, we exploit the fact that…

机器学习 · 统计学 2020-07-28 Ricardo Pio Monti , Ilyes Khemakhem , Aapo Hyvarinen

Motivated by the recent success of time-series foundation models for zero-shot forecasting, we present a methodology for $\textit{in-context fine-tuning}$ of a time-series foundation model. In particular, we design a pretrained foundation…

机器学习 · 计算机科学 2024-11-01 Abhimanyu Das , Matthew Faw , Rajat Sen , Yichen Zhou