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Model misspecification constitutes a major obstacle to reliable inference in many inverse problems. Inverse problems in seismology, for example, are particularly affected by misspecification of wave propagation velocities. In this paper, we…

Methodology · Statistics 2021-05-18 Andrea Scarinci , Michael Fehler , Youssef Marzouk

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

Machine Learning · Computer Science 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

Accurate beam prediction is essential for mitigating signalling overhead and latency in integrated sensing and communication-enabled massive multi-input multi-output systems. With the aid of multimodal learning, the prediction accuracy can…

Signal Processing · Electrical Eng. & Systems 2026-05-15 Zijian Zheng , Wenqiang Yi , Hyundong Shin , Arumugam Nallanathan

We introduce a conditional pseudo-reversible normalizing flow for constructing surrogate models of a physical model polluted by additive noise to efficiently quantify forward and inverse uncertainty propagation. Existing surrogate modeling…

Machine Learning · Computer Science 2024-04-02 Minglei Yang , Pengjun Wang , Ming Fan , Dan Lu , Yanzhao Cao , Guannan Zhang

Many causal estimands are only partially identifiable since they depend on the unobservable joint distribution between potential outcomes. Stratification on pretreatment covariates can yield sharper bounds; however, unless the covariates…

Econometrics · Economics 2024-11-19 Wenlong Ji , Lihua Lei , Asher Spector

Full waveform inversion (FWI) is a highly nonlinear and ill-posed problem. On one hand, it can be easily trapped in a local minimum. On the other hand, the inversion results may exhibit strong artifacts and reduced resolution because of…

Geophysics · Physics 2018-09-26 Dongzhuo Li , Jerry M. Harris

In this paper, we introduce a novel, data-driven approach for solving high-dimensional Bayesian inverse problems based on partial differential equations (PDEs), called Weak Neural Variational Inference (WNVI). The method complements real…

Machine Learning · Statistics 2024-07-31 Vincent C. Scholz , Yaohua Zang , Phaedon-Stelios Koutsourelakis

In this paper, we empirically reveal an invariance over images-images share a set of one-way wave equations with latent speeds. Each image is uniquely associated with a solution to these wave equations, allowing for its reconstruction with…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Yinpeng Chen , Dongdong Chen , Xiyang Dai , Mengchen Liu , Yinan Feng , Youzuo Lin , Lu Yuan , Zicheng Liu

This paper introduces a new latent variable generative model able to handle high dimensional longitudinal data and relying on variational inference. The time dependency between the observations of an input sequence is modelled using…

Machine Learning · Statistics 2023-03-28 Clément Chadebec , Stéphanie Allassonnière

The detection of gravitational waves by the LIGO-Virgo-KAGRA collaboration has ushered in a new era of observational astronomy, emphasizing the need for rapid and detailed parameter estimation and population-level analyses. Traditional…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Bo Liang , He Wang

Switching dynamical systems provide a powerful, interpretable modeling framework for inference in time-series data in, e.g., the natural sciences or engineering applications. Since many areas, such as biology or discrete-event systems, are…

Machine Learning · Computer Science 2021-09-30 Lukas Köhs , Bastian Alt , Heinz Koeppl

Diffusion probabilistic models have recently achieved remarkable success in generating high-quality images. However, balancing high perceptual quality and low distortion remains challenging in application of diffusion models in image…

Image and Video Processing · Electrical Eng. & Systems 2025-12-23 Juan Song , Jiaxiang He , Lijie Yang , Mingtao Feng , Keyan Wang

As Einstein's equations for binary compact object inspiral have only been approximately or intermittently solved by analytic or numerical methods, the models used to infer parameters of gravitational wave (GW) sources are subject to…

General Relativity and Quantum Cosmology · Physics 2021-01-04 A. Z. Jan , A. B. Yelikar , J. Lange , R. O'Shaughnessy

Estimating subsurface dielectric properties is essential for applications ranging from environmental surveys of soils to nondestructive evaluation of concrete in infrastructure. Conventional wave inversion methods typically assume few…

Signal Processing · Electrical Eng. & Systems 2025-10-30 Ishfaq Aziz , Mohamad Alipour

Waveform inversion is theoretically a powerful tool to reconstruct subsurface structures, but a usually encountered problem is that accurate sources are very rare, causing the computation unstable and divergent. This challenging problem,…

Geophysics · Physics 2024-07-12 Han Yu

Ising models originated in statistical physics and are widely used in modeling spatial data and computer vision problems. However, statistical inference of this model remains challenging due to intractable nature of the normalizing constant…

Methodology · Statistics 2021-09-06 Minwoo Kim , Shrijita Bhattacharya , Tapabrata Maiti

We characterize the complete joint posterior distribution over spatially-varying basal traction and and ice softness parameters of an ice sheet model from observations of surface speed by using stochastic variational inference combined with…

Computational Physics · Physics 2022-04-13 Douglas J. Brinkerhoff

The ability of likelihood-based probabilistic models to generalize to unseen data is central to many machine learning applications such as lossless compression. In this work, we study the generalization of a popular class of probabilistic…

Machine Learning · Statistics 2022-10-18 Mingtian Zhang , Peter Hayes , David Barber

Seismic full-waveform inversion (FWI) techniques aim to find a high-resolution subsurface geophysical model provided with waveform data. Some recent effort in data-driven FWI has shown some encouraging results in obtaining 2D velocity maps.…

Machine Learning · Computer Science 2022-05-04 Qili Zeng , Shihang Feng , Brendt Wohlberg , Youzuo Lin

Variational inference often struggles with the posterior geometry exhibited by complex hierarchical Bayesian models. Recent advances in flow-based variational families and Variationally Inferred Parameters (VIP) each address aspects of this…

Machine Learning · Computer Science 2025-11-06 Joohwan Ko , Justin Domke