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We present a theory-guided generalized Bayesian methodology for spatio-temporal raster data, which we use to train an ensemble of stochastic feed-forward neural networks with Gaussian-distributed weights. The methodology incorporates the…

Machine Learning · Statistics 2026-04-24 Leonardo Bardi , Imma Valentina Curato , Lorenzo Proietti

We present a unified framework to describe lattice gauge theories by means of tensor networks: this framework is efficient as it exploits the high amount of local symmetry content native of these systems describing only the gauge invariant…

Quantum Physics · Physics 2014-10-14 Pietro Silvi , Enrique Rico , Tommaso Calarco , Simone Montangero

We propose learning flexible but interpretable functions that aggregate a variable-length set of permutation-invariant feature vectors to predict a label. We use a deep lattice network model so we can architect the model structure to…

Machine Learning · Computer Science 2018-06-04 Andrew Cotter , Maya Gupta , Heinrich Jiang , James Muller , Taman Narayan , Serena Wang , Tao Zhu

While deep feature learning has revolutionized techniques for static-image understanding, the same does not quite hold for video processing. Architectures and optimization techniques used for video are largely based off those for static…

Computer Vision and Pattern Recognition · Computer Science 2017-12-13 Achal Dave , Olga Russakovsky , Deva Ramanan

The inductive biases of trained neural networks are difficult to understand and, consequently, to adapt to new settings. We study the inductive biases of linearizations of neural networks, which we show to be surprisingly good summaries of…

Machine Learning · Statistics 2021-04-29 Wesley J. Maddox , Shuai Tang , Pablo Garcia Moreno , Andrew Gordon Wilson , Andreas Damianou

Recently, machine-learning methods have been shown to be successful in identifying and classifying different phases of the square-lattice Ising model. We study the performance and limits of classification and regression models. In…

Disordered Systems and Neural Networks · Physics 2022-04-01 Burak Çivitcioğlu , Rudolf A. Römer , Andreas Honecker

Dense prediction tasks typically employ encoder-decoder architectures, but the prevalent convolutions in the decoder are not image-adaptive and can lead to boundary artifacts. Different generalized convolution operations have been…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Anne S. Wannenwetsch , Martin Kiefel , Peter V. Gehler , Stefan Roth

The present paradigm in design and modelling of lattice architected mechanical metamaterials is mostly limited to traditional numerical methods like finite element analysis. Recently, the use of machine learning and artificial intelligence…

The phase transition of the two-dimensional $U(1)$ quantum link model on the triangular lattice is investigated by employing a supervised neural network (NN) consisting of only one input layer, one hidden layer of two neurons, and one…

High Energy Physics - Lattice · Physics 2023-08-23 Jhao-Hong Peng , Yuan-Heng Tseng , Fu-Jiun Jiang

We demonstrate that various aspects of Conformal Field Theory are amenable to machine learning. Relatively modest feed-forward neural networks are able to distinguish between scale and conformal invariance of a three-point function and…

High Energy Physics - Theory · Physics 2020-07-21 Heng-Yu Chen , Yang-Hui He , Shailesh Lal , M. Zaid Zaz

We have calculated the running coupling in SU(2), SU(3), and SU(4) gauge theories to see whether they have infrared fixed points. An infrared fixed point means no confinement: It means that the long-distance physics is conformal, without a…

High Energy Physics - Lattice · Physics 2013-01-10 Benjamin Svetitsky

We show that an interesting class of feed-forward neural networks can be understood as quantitative argumentation frameworks. This connection creates a bridge between research in Formal Argumentation and Machine Learning. We generalize the…

Neural and Evolutionary Computing · Computer Science 2020-12-11 Nico Potyka

The last decade has seen an explosive growth of interest in exploiting developments in machine learning to accelerate lattice QCD calculations. On the sampling side, generative models are a promising approach to mitigating critical slowing…

High Energy Physics - Lattice · Physics 2025-02-24 Scott Lawrence

A visual system has to learn both which features to extract from images and how to group locations into (proto-)objects. Those two aspects are usually dealt with separately, although predictability is discussed as a cue for both. To…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Heiko H. Schütt , Wei Ji Ma

A universal supervised neural network (NN) relevant to compute the associated criticalities of real experiments studying phase transitions is constructed. The validity of the built NN is examined by applying it to calculate the…

Disordered Systems and Neural Networks · Physics 2021-03-22 D. -R. Tan , J. -H. Peng , Y. -H. Tseng , F. -J. Jiang

We present a novel approach to modelling and learning vector fields from physical systems using neural networks that explicitly satisfy known linear operator constraints. To achieve this, the target function is modelled as a linear…

Machine Learning · Statistics 2021-04-29 Johannes Hendriks , Carl Jidling , Adrian Wills , Thomas Schön

We define a class of machine-learned flow-based sampling algorithms for lattice gauge theories that are gauge-invariant by construction. We demonstrate the application of this framework to U(1) gauge theory in two spacetime dimensions, and…

Implicit score matching provides a computationally efficient approach for training diffusion models and generating high-quality samples from complex distributions. In this work, we develop a score-matching framework for SU(N) lattice gauge…

High Energy Physics - Lattice · Physics 2026-05-08 Javad Komijani , Marina K. Marinkovic , Lara Turgut

Machine learning is a popular tool that is being applied to many domains, from computer vision to natural language processing. It is not long ago that its use was extended to physics, but its capabilities remain to be accurately contoured.…

Computational Physics · Physics 2019-10-31 Junfeng Chen , Jonathan Viquerat , Elie Hachem

Complex contour deformations of the path integral have been demonstrated to significantly improve the signal-to-noise ratio of observables in previous studies of two-dimensional gauge theories with open boundary conditions. In this work,…

High Energy Physics - Lattice · Physics 2023-09-04 William Detmold , Gurtej Kanwar , Yin Lin , Phiala E. Shanahan , Michael L. Wagman