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Deep learning has generated diverse perspectives in astronomy, with ongoing discussions between proponents and skeptics motivating this review. We examine how neural networks complement classical statistics, extending our data analytical…

Instrumentation and Methods for Astrophysics · Physics 2026-05-07 Yuan-Sen Ting

Specifying a governing physical model in the presence of missing physics and recovering its parameters are two intertwined and fundamental problems in science. Modern machine learning allows one to circumvent these, via emulators and…

Machine Learning · Computer Science 2020-06-30 Daniel J. Tait , Theodoros Damoulas

Computer vision is hard because of a large variability in lighting, shape, and texture; in addition the image signal is non-additive due to occlusion. Generative models promised to account for this variability by accurately modelling the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-10 Varun Jampani , Sebastian Nowozin , Matthew Loper , Peter V. Gehler

We develop a novel data-driven approach to the inverse problem of classical statistical mechanics: given experimental data on the collective motion of a classical many-body system, how does one characterise the free energy landscape of that…

Statistical Mechanics · Physics 2022-03-01 Peter Yatsyshin , Serafim Kalliadasis , Andrew B. Duncan

Discovering new physical products and processes often demands enormous experimentation and expensive simulation. To design a new product with certain target characteristics, an extensive search is performed in the design space by trying out…

Machine Learning · Statistics 2018-11-16 Phuoc Nguyen , Truyen Tran , Sunil Gupta , Santu Rana , Svetha Venkatesh

To understand changes in physical systems and facilitate decisions, explaining how model predictions are made is crucial. We use model-based interpretability, where models of physical systems are constructed by composing basic constructs…

Artificial Intelligence · Computer Science 2020-03-24 Ion Matei , Johan de Kleer , Christoforos Somarakis , Rahul Rai , John S. Baras

In a quest towards an intelligent decision-making machine, the ability to make plausible predictions is the central pillar of its intelligence. A predicting algorithm's central idea is to understand the governing physical rules and make…

Instrumentation and Methods for Astrophysics · Physics 2021-01-01 Shashwat Singh , Ankul Prajapati , Kamlesh N Pathak

We formulate the inverse problem in a Bayesian framework and aim to train a generative model that allows us to simulate (i.e., sample from the likelihood) and do inference (i.e., sample from the posterior). We review the use of triangular…

Machine Learning · Statistics 2025-09-05 Tristan van Leeuwen , Christoph Brune , Marcello Carioni

With the advent of future big-data surveys, automated tools for unsupervised discovery are becoming ever more necessary. In this work, we explore the ability of deep generative networks for detecting outliers in astronomical imaging…

Since upcoming telescopes will observe thousands of strong lensing systems, creating fully-automated analysis pipelines for these images becomes increasingly important. In this work, we make a step towards that direction by developing the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-03 Marco Chianese , Adam Coogan , Paul Hofma , Sydney Otten , Christoph Weniger

A central problem in machine learning involves modeling complex data-sets using highly flexible families of probability distributions in which learning, sampling, inference, and evaluation are still analytically or computationally…

Machine Learning · Computer Science 2015-11-20 Jascha Sohl-Dickstein , Eric A. Weiss , Niru Maheswaranathan , Surya Ganguli

We present a principled Bayesian framework for signal reconstruction, in which the signal is modelled by basis functions whose number (and form, if required) is determined by the data themselves. This approach is based on a Bayesian…

Instrumentation and Methods for Astrophysics · Physics 2019-01-23 Edward Higson , Will Handley , Michael Hobson , Anthony Lasenby

We introduce a physics-informed neural framework for modeling static and time-dependent galactic gravitational potentials. The method combines data-driven learning with embedded physical constraints to capture complex, small-scale features…

Astrophysics of Galaxies · Physics 2026-04-02 Charlotte Myers , Nathaniel Starkman , Lina Necib

Most modern imaging systems incorporate a computational pipeline to infer the image of interest from acquired measurements. The Bayesian approach to solve such ill-posed inverse problems involves the characterization of the posterior…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Pakshal Bohra , Thanh-an Pham , Jonathan Dong , Michael Unser

Gaussian state space models have been used for decades as generative models of sequential data. They admit an intuitive probabilistic interpretation, have a simple functional form, and enjoy widespread adoption. We introduce a unified…

Machine Learning · Statistics 2016-12-06 Rahul G. Krishnan , Uri Shalit , David Sontag

We examine the optical properties of a system of nano and micro particles of varying size, shape, and material (including metals and dielectrics, and sub-wavelength and super-wavelength regimes). Training data is generated by numerically…

Well-calibrated probabilistic regression models are a crucial learning component in robotics applications as datasets grow rapidly and tasks become more complex. Unfortunately, classical regression models are usually either probabilistic…

Machine Learning · Computer Science 2023-09-12 Hany Abdulsamad , Peter Nickl , Pascal Klink , Jan Peters

A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because…

Machine Learning · Computer Science 2022-01-11 David Heckerman

Generative models have demonstrated remarkable abilities in generating high-fidelity visual content. In this work, we explore how generative models can further be used not only to synthesize visual content but also to understand the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Yanbo Wang , Justin Dauwels , Yilun Du

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann