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We propose Deep Residual Mixture Models (DRMMs), a novel deep generative model architecture. Compared to other deep models, DRMMs allow more flexible conditional sampling: The model can be trained once with all variables, and then used for…

机器学习 · 计算机科学 2021-07-22 Perttu Hämäläinen , Martin Trapp , Tuure Saloheimo , Arno Solin

Sparse modeling for signal processing and machine learning has been at the focus of scientific research for over two decades. Among others, supervised sparsity-aware learning comprises two major paths paved by: a) discriminative methods and…

机器学习 · 统计学 2022-11-23 Lei Cheng , Feng Yin , Sergios Theodoridis , Sotirios Chatzis , Tsung-Hui Chang

Learning interpretable representations of visual data is an important challenge, to make machines' decisions understandable to humans and to improve generalisation outside of the training distribution. To this end, we propose a deep…

计算机视觉与模式识别 · 计算机科学 2024-10-25 Marian Longa , João F. Henriques

Inverse problems arise across scientific and engineering domains, where the goal is to infer hidden parameters or physical fields from indirect and noisy observations. Classical approaches, such as variational regularization and Bayesian…

机器学习 · 统计学 2025-12-03 Ali Mohammad-Djafari , Ning Chu , Li Wang

Computer models are used to model complex processes in various disciplines. Often, a key source of uncertainty in the behavior of complex computer models is uncertainty due to unknown model input parameters. Statistical computer model…

统计方法学 · 统计学 2013-08-02 Won Chang , Murali Haran , Roman Olson , Klaus Keller

The ability to predict multiple possible future positions of the ego-vehicle given the surrounding context while also estimating their probabilities is key to safe autonomous driving. Most of the current state-of-the-art Deep Learning…

计算机视觉与模式识别 · 计算机科学 2020-10-05 Thomas Kurbiel , Akash Sachdeva , Kun Zhao , Markus Buehren

Adding interpretability to multivariate methods creates a powerful synergy for exploring complex physical systems with higher order correlations while bringing about a degree of clarity in the underlying dynamics of the system.

高能物理 - 唯象学 · 物理学 2022-05-04 Christophe Grojean , Ayan Paul , Zhuoni Qian , Inga Strümke

This paper reviews recent developments in statistical structure learning; namely, Bayesian model reduction. Bayesian model reduction is a method for rapidly computing the evidence and parameters of probabilistic models that differ only in…

统计方法学 · 统计学 2019-10-15 Karl Friston , Thomas Parr , Peter Zeidman

The standard approach to answering an identifiable causal-effect query (e.g., $P(Y|do(X)$) when given a causal diagram and observational data is to first generate an estimand, or probabilistic expression over the observable variables, which…

人工智能 · 计算机科学 2024-08-28 Anna Raichev , Alexander Ihler , Jin Tian , Rina Dechter

Data-driven approaches achieve remarkable results for the modeling of complex dynamics based on collected data. However, these models often neglect basic physical principles which determine the behavior of any real-world system. This…

系统与控制 · 电气工程与系统科学 2023-05-17 Thomas Beckers , Jacob Seidman , Paris Perdikaris , George J. Pappas

In this review, we explore the historical development and future prospects of artificial intelligence (AI) and deep learning in astronomy. We trace the evolution of connectionism in astronomy through its three waves, from the early use of…

天体物理仪器与方法 · 物理学 2023-06-01 Michael J. Smith , James E. Geach

Geoscience data often have to rely on strong priors in the face of uncertainty. Additionally, we often try to detect or model anomalous sparse data that can appear as an outlier in machine learning models. These are classic examples of…

地球物理 · 物理学 2019-07-05 Jesper Sören Dramsch , Gustavo Corte , Hamed Amini , Colin MacBeth , Mikael Lüthje

The advancement of distributed generation technologies in modern power systems has led to a widespread integration of renewable power generation at customer side. However, the intermittent nature of renewable energy poses new challenges to…

机器学习 · 计算机科学 2023-01-31 Devinder Kaur , Shama Naz Islam , Md. Apel Mahmud , Md. Enamul Haque , Adnan Anwar

We introduce generative models for accelerating simulations of complex systems through learning and evolving their effective dynamics. In the proposed Generative Learning of Effective Dynamics (G-LED), instances of high dimensional data are…

机器学习 · 计算机科学 2024-02-28 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

In many signal processing problems, it may be fruitful to represent the signal under study in a frame. If a probabilistic approach is adopted, it becomes then necessary to estimate the hyper-parameters characterizing the probability…

统计方法学 · 统计学 2015-05-14 L. Chaâri , J. -C. Pesquet , J. -Y. Tourneret , Ph. Ciuciu , A. Benazza-Benyahia

Symbolic regression automates the process of learning closed-form mathematical models from data. Standard approaches to symbolic regression, as well as newer deep learning approaches, rely on heuristic model selection criteria, heuristic…

机器学习 · 统计学 2025-07-29 Roger Guimera , Marta Sales-Pardo

We present a Bayesian method for the identification and classification of objects from sets of astronomical catalogs, given a predefined classification scheme. Identification refers here to the association of entries in different catalogs…

天体物理仪器与方法 · 物理学 2015-06-15 Jörg P. Rachen

Recent advancements in deep generative modeling make it possible to learn prior distributions from complex data that subsequently can be used for Bayesian inference. However, we find that distributions learned by deep generative models for…

机器学习 · 计算机科学 2020-11-04 Maurice Frank , Maximilian Ilse

Generating multi-contrasts/modal MRI of the same anatomy enriches diagnostic information but is limited in practice due to excessive data acquisition time. In this paper, we propose a novel deep-learning model for joint reconstruction and…

图像与视频处理 · 电气工程与系统科学 2022-06-30 Wanyu Bian , Qingchao Zhang , Xiaojing Ye , Yunmei Chen

Bayesian Inference is a powerful approach to data analysis that is based almost entirely on probability theory. In this approach, probabilities model {\it uncertainty} rather than randomness or variability. This thesis is composed of a…

天体物理学 · 物理学 2008-09-08 Brendon J. Brewer