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This work develops compressive sampling strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or output-projected data. The resulting DMD eigenvalues are equal to DMD eigenvalues from the full-state data. It…

Dynamical Systems · Mathematics 2013-12-19 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

We use spin torque ferromagnetic resonance to measure the spectral properties of dipole-exchange spin waves in permalloy nanowires. Our measurements reveal that geometric confinement has a profound effect on the damping of spin waves in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Carl Boone , Jordan Katine , Jeff Childress , Vasil Tiberkevich , Andrei Slavin , Jian Zhu , Xiao Cheng , Ilya Krivorotov

We perform the energy minimization of the paired composite fermion (CF) wave functions, proposed by M\"oller and Simon (MS) [PRB 77, 075319 (2008)] and extended by Yutushui and Mross (YM) [PRB 102, 195153 (2020)], where the energy is…

Strongly Correlated Electrons · Physics 2023-12-25 Greg J. Henderson , Gunnar Möller , Steven H. Simon

Recently developed neural network-based \emph{ab-initio} solutions (Pfau et. al arxiv:1909.02487v2) for finding ground states of fermionic systems can generate state-of-the-art results on a broad class of systems. In this work, we improve…

Chemical Physics · Physics 2021-03-26 Max Wilson , Nicholas Gao , Filip Wudarski , Eleanor Rieffel , Norm M. Tubman

Large-scale deep learning models are well-suited for compression. Across a variety of tasks, methods like pruning, quantization, and knowledge distillation have been used to achieve massive reductions in model parameters with only marginal…

Machine Learning · Computer Science 2026-05-18 Pedram Bakhtiarifard , Tong Chen , Jonathan Wenshøj , Erik B Dam , Raghavendra Selvan

Recent findings indicate that over-parametrization, while crucial for successfully training deep neural networks, also introduces large amounts of redundancy. Tensor methods have the potential to efficiently parametrize over-complete…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Jean Kossaifi , Adrian Bulat , Georgios Tzimiropoulos , Maja Pantic

Efficient ways to prepare fermionic ground states on quantum computers are in high demand and different techniques have been developed over the last years. Despite having a vast set of methods, it is still unclear which method performs well…

Quantum Physics · Physics 2024-03-19 Jakob S. Kottmann , Francesco Scala

The success of deep neural networks in many real-world applications is leading to new challenges in building more efficient architectures. One effective way of making networks more efficient is neural network compression. We provide an…

Machine Learning · Computer Science 2019-12-23 Andrey Kuzmin , Markus Nagel , Saurabh Pitre , Sandeep Pendyam , Tijmen Blankevoort , Max Welling

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

Machine Learning · Computer Science 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

We introduce a graphical calculus, consisting of a set of fermionic tensors with tensor-network equations, which can be used to perform various computations in fermionic many-body physics purely diagrammatically. The indices of our tensors…

Quantum Physics · Physics 2025-08-07 Yuanjie Ren , Kaifeng Bu , Andreas Bauer

In this paper, we combine two-step knowledge distillation, structured pruning, truncation, and vocabulary trimming for extremely compressing multilingual encoder-only language models for low-resource languages. Our novel approach…

Computation and Language · Computer Science 2025-11-07 Daniil Gurgurov , Michal Gregor , Josef van Genabith , Simon Ostermann

Most machine vision tasks (e.g., semantic segmentation) are based on images encoded and decoded by image compression algorithms (e.g., JPEG). However, these decoded images in the pixel domain introduce distortion, and they are optimized for…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Jinming Liu , Heming Sun , Jiro Katto

The paper introduces a reduced order model (ROM) for numerical integration of a dynamical system which depends on multiple parameters. The ROM is a projection of the dynamical system on a low dimensional space that is both problem-dependent…

Numerical Analysis · Mathematics 2022-06-08 Alexander V. Mamonov , Maxim A. Olshanskii

Channel estimation is useful in millimeter wave (mmWave) MIMO communication systems. Channel state information allows optimized designs of precoders and combiners under different metrics such as mutual information or…

Information Theory · Computer Science 2017-04-28 Javier Rodríguez-Fernández , Nuria González-Prelcic , Kiran Venugopal , Robert W. Heath

In this paper, we propose a novel model to recover a low-rank tensor by simultaneously performing double nuclear norm regularized low-rank matrix factorizations to the all-mode matricizations of the underlying tensor. An block successive…

Computer Vision and Pattern Recognition · Computer Science 2020-05-07 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

The recent progress on global optimizations of covariant energy density functionals (CEDFs) and global calculations of binding energies within the covariant density functional theory (CDFT) has been analyzed and reviewed. Recently developed…

Nuclear Theory · Physics 2025-11-04 A. V. Afanasjev , B. Osei , A. Dalbah

We establish the quantum mechanics of composite fermions based on the dipole picture initially proposed by Read. It comprises three complimentary components: a wave equation for determining the wave functions of a composite fermion in ideal…

Mesoscale and Nanoscale Physics · Physics 2024-06-24 Junren Shi

We introduce an efficient method to reconstruct the Wigner function of many-mode continuous variable systems. It is based on convex optimization with semidefinite programs, and also includes a version of the maximum entropy principle, in…

Quantum Physics · Physics 2020-02-28 Ludmila A. S. Botelho , Reinaldo O. Vianna

Elasticities in depth, width, kernel size and resolution have been explored in compressing deep neural networks (DNNs). Recognizing that the kernels in a convolutional neural network (CNN) are 4-way tensors, we further exploit a new…

Machine Learning · Computer Science 2021-05-11 Jie Ran , Rui Lin , Hayden K. H. So , Graziano Chesi , Ngai Wong

Visual data compression is shifting from human-centered reconstruction to machine-oriented representation coding. In this setting, an image is often mapped to a compact semantic embedding, which is then compressed and transmitted for…

Image and Video Processing · Electrical Eng. & Systems 2026-04-30 Andriy Enttsel , Vincent Corlay