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Fast linear algebra in deep learning usually comes with a choice: fixed geometry and exact computation, as in the Fourier transform, or adaptive geometry paid for by dense parameters, random features, or low-rank surrogates. To move beyond…

Machine Learning · Computer Science 2026-05-26 Łukasz Struski , Hanna Blazhko , Piotr Kubaty , Jacek Tabor

Topological interfaces of two-dimensional conformal field theories contain information about symmetries of the theory and exhibit striking spectral and entanglement characteristics. While lattice realizations of these interfaces have been…

Strongly Correlated Electrons · Physics 2023-12-12 Ananda Roy , Hubert Saleur

Topological insulators show important properties, such as topological phase transitions and topological edge states. Although these properties and phenomena can be simulated by well-designed circuits, it is undoubtedly difficult to design…

Applied Physics · Physics 2024-07-19 Xi Chen , Jinyang Sun , Xiumei Wang , Maoxin Chen , Qingyuan Lin , Minggang Xia , Xingping Zhou

The rapid progress of Artificial Intelligence research came with the development of increasingly complex deep learning models, leading to growing challenges in terms of computational complexity, energy efficiency and interpretability. In…

Machine Learning · Computer Science 2023-06-28 Yuanrong Wang , Antonio Briola , Tomaso Aste

When deploying deep learning models to a device, it is traditionally assumed that available computational resources (compute, memory, and power) remain static. However, real-world computing systems do not always provide stable resource…

Machine Learning · Computer Science 2021-10-11 Elvis Nunez , Maxwell Horton , Anish Prabhu , Anurag Ranjan , Ali Farhadi , Mohammad Rastegari

Lifted Relational Neural Networks (LRNNs) describe relational domains using weighted first-order rules which act as templates for constructing feed-forward neural networks. While previous work has shown that using LRNNs can lead to…

Machine Learning · Computer Science 2017-10-09 Gustav Sourek , Martin Svatos , Filip Zelezny , Steven Schockaert , Ondrej Kuzelka

Multi-view learning has progressed rapidly in recent years. Although many previous studies assume that each instance appears in all views, it is common in real-world applications for instances to be missing from some views, resulting in…

Machine Learning · Computer Science 2022-08-30 Pengfei Zhu , Xinjie Yao , Yu Wang , Meng Cao , Binyuan Hui , Shuai Zhao , Qinghua Hu

We investigate the advantages of machine learning techniques to recognize the dynamics of topological objects in quantum field theories. We consider the compact U(1) gauge theory in three spacetime dimensions as the simplest example of a…

High Energy Physics - Lattice · Physics 2020-10-27 M. N. Chernodub , Harold Erbin , V. A. Goy , A. V. Molochkov

Topological deep learning is a rapidly growing field that pertains to the development of deep learning models for data supported on topological domains such as simplicial complexes, cell complexes, and hypergraphs, which generalize many…

This paper proposes an adaptive lattice-based motion planning solution to address the problem of generating feasible trajectories for systems, represented by a linearly parameterizable non-linear model operating within a cluttered…

Robotics · Computer Science 2025-08-20 Abhishek Dhar , Sarthak Mishra , Spandan Roy , Daniel Axehill

Monte Carlo methods have led to profound insights into the strong-coupling behaviour of lattice gauge theories and produced remarkable results such as first-principles computations of hadron masses. Despite tremendous progress over the last…

High Energy Physics - Lattice · Physics 2025-07-15 Anuj Apte , Anthony Ashmore , Clay Cordova , Tzu-Chen Huang

We propose an interpretable framework for reading analog gauges that is deployable on real world robotic systems. Our framework splits the reading task into distinct steps, such that we can detect potential failures at each step. Our system…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Maurits Reitsma , Julian Keller , Kenneth Blomqvist , Roland Siegwart

We consider a light-weight method which allows to improve the explainability of localized classification networks. The method considers (Grad)CAM maps during the training process by modification of the training loss and does not require…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Alfred Schöttl

This paper proposes an architecture for deep neural networks with hidden layer branches that learn targets of lower hierarchy than final layer targets. The branches provide a channel for enforcing useful information in hidden layer which…

Neural and Evolutionary Computing · Computer Science 2016-09-27 Abhinav Tushar

Fields exhibit a variety of topological properties, like different topological charges, when field space in the continuum is composed by more than one topological sector. Lattice treatments usually encounter difficulties describing those…

High Energy Physics - Lattice · Physics 2023-06-22 Pietro Dall'Olio , José A. Zapata

Link prediction, as a frontier task in complex network topology analysis, aims to infer the existence of latent links between node pairs based on observed nodes and structural information. We propose an ensemble link prediction model that…

Physics and Society · Physics 2025-12-09 Zi-Xuan Jin , Jun-Fan Yi , Ke-Ke Shang

Reverse Monte Carlo (RMC) is an algorithm that incorporates stochastic modification of the action as part of the process that updates the fields in a Monte Carlo simulation. Such update moves have the potential of lowering or eliminating…

High Energy Physics - Lattice · Physics 2015-06-22 Arjun Singh Gambhir , Kostas Orginos

More than two decades ago, combinatorial topology was shown to be useful for analyzing distributed fault-tolerant algorithms in shared memory systems and in message passing systems. In this work, we show that combinatorial topology can also…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-05 Armando Castañeda , Pierre Fraigniaud , Ami Paz , Sergio Rajsbaum , Matthieu Roy , Corentin Travers

The topological structure of the QCD vacuum can be probed by monitoring the spatial localization of the low-lying Dirac eigenmodes. This approach can be pursued on the lattice, and unlike the traditional one requires no smoothing of the…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand

Topological matter is a popular topic in both condensed matter and cold atom research. In the past decades, a variety of models have been identified with fascinating topological features. Some, but not all, of the models can be found in…

Quantum Gases · Physics 2017-01-20 Zhen Zheng , Han Pu , Xubo Zou , Guangcan Guo
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