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We study a multigrid method for nonabelian lattice gauge theory, the time slice blocking, in two and four dimensions. For SU(2) gauge fields in two dimensions, critical slowing down is almost completely eliminated by this method. This…

High Energy Physics - Lattice · Physics 2014-11-17 M. Grabenstein , K. Pinn

Neural Networks are being integrated into safety critical systems, e.g., perception systems for autonomous vehicles, which require trained networks to perform safely in novel scenarios. It is challenging to verify neural networks because…

Machine Learning · Computer Science 2019-12-23 Molly O'Brien , William Goble , Greg Hager , Julia Bukowski

Heralded by the initial success in speech recognition and image classification, learning-based approaches with neural networks, commonly referred to as deep learning, have spread across various fields. A primitive form of a neural network…

Robotics · Computer Science 2024-09-02 Takuma Yoneda

Human motion prediction, i.e., forecasting future body poses given observed pose sequence, has typically been tackled with recurrent neural networks (RNNs). However, as evidenced by prior work, the resulted RNN models suffer from prediction…

Computer Vision and Pattern Recognition · Computer Science 2020-07-08 Wei Mao , Miaomiao Liu , Mathieu Salzmann , Hongdong Li

Many applications in Lattice field theory require to determine the Taylor series of observables with respect to action parameters. A primary example is the determination of electromagnetic corrections to hadronic processes. We show two…

High Energy Physics - Lattice · Physics 2024-01-15 Guilherme Catumba , Alberto Ramos , Bryan Zaldivar

The ability to predict future states of the environment is a central pillar of intelligence. At its core, effective prediction requires an internal model of the world and an understanding of the rules by which the world changes. Here, we…

Machine Learning · Computer Science 2016-01-21 William Lotter , Gabriel Kreiman , David Cox

Many real-world problems, e.g. object detection, have outputs that are naturally expressed as sets of entities. This creates a challenge for traditional deep neural networks which naturally deal with structured outputs such as vectors,…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 S. Hamid Rezatofighi , Roman Kaskman , Farbod T. Motlagh , Qinfeng Shi , Daniel Cremers , Laura Leal-Taixé , Ian Reid

We propose a general framework to extract microscopic interactions from raw configurations with deep neural networks. The approach replaces the modeling Hamiltonian by the neural networks, in which the interaction is encoded. It can be…

Computational Physics · Physics 2020-08-19 Lingxiao Wang , Yin Jiang , Kai Zhou

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

Neural sequence models, especially transformers, exhibit a remarkable capacity for in-context learning. They can construct new predictors from sequences of labeled examples $(x, f(x))$ presented in the input without further parameter…

Machine Learning · Computer Science 2023-05-19 Ekin Akyürek , Dale Schuurmans , Jacob Andreas , Tengyu Ma , Denny Zhou

Machine Learning is a powerful tool to reveal and exploit correlations in a multi-dimensional parameter space. Making predictions from such correlations is a highly non-trivial task, in particular when the details of the underlying dynamics…

High Energy Physics - Phenomenology · Physics 2019-01-30 Christoph Englert , Peter Galler , Philip Harris , Michael Spannowsky

Transformer-based models generate hidden states that are difficult to interpret. In this work, we analyze hidden states and modify them at inference, with a focus on motion forecasting. We use linear probing to analyze whether interpretable…

Machine Learning · Computer Science 2025-05-19 Omer Sahin Tas , Royden Wagner

While great strides have been made in using deep learning algorithms to solve supervised learning tasks, the problem of unsupervised learning - leveraging unlabeled examples to learn about the structure of a domain - remains a difficult…

Machine Learning · Computer Science 2017-03-02 William Lotter , Gabriel Kreiman , David Cox

We demonstrate, both analytically and numerically, that learning dynamics of neural networks is generically attracted towards a self-organized critical state. The effect can be modeled with quartic interactions between non-trainable…

Statistical Mechanics · Physics 2021-07-09 Mikhail I. Katsnelson , Vitaly Vanchurin , Tom Westerhout

We present a structured inference approach in deep neural networks for multiple attribute prediction. In attribute prediction, a common approach is to learn independent classifiers on top of a good feature representation. However, such…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Kota Yamaguchi , Takayuki Okatani , Takayuki Umeda , Kazuhiko Murasaki , Kyoko Sudo

Artificial neural networks which are trained on a time series are supposed to achieve two abilities: firstly to predict the series many time steps ahead and secondly to learn the rule which has produced the series. It is shown that…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ansgar Freking , Wolfgang Kinzel , Ido Kanter

In this contribution, we demonstrate that Graph Neural Networks and Transformers can learn to reason about geometric constraints. We train them to predict spatial position of points in a discrete 2D grid from a set of constraints that…

Machine Learning · Computer Science 2026-03-03 Jan Hůla , David Mojžíšek , Jiří Janeček , David Herel , Mikoláš Janota

Previous influential work showed that infinite width limits of neural networks in the lazy training regime are described by kernel machines. Here, we show that neural networks trained in the rich, feature learning infinite-width regime in…

Machine Learning · Computer Science 2025-09-12 Clarissa Lauditi , Blake Bordelon , Cengiz Pehlevan

We address tracking and prediction of multiple moving objects in visual data streams as inference and sampling in a disentangled latent state-space model. By encoding objects separately and including explicit position information in the…

Machine Learning · Statistics 2019-10-15 Adnan Akhundov , Maximilian Soelch , Justin Bayer , Patrick van der Smagt

Transformers can under some circumstances generalize to novel problem instances whose constituent parts might have been encountered during training, but whose compositions have not. What mechanisms underlie this ability for compositional…

Machine Learning · Computer Science 2025-02-18 Simon Schug , Seijin Kobayashi , Yassir Akram , João Sacramento , Razvan Pascanu