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We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

最优化与控制 · 数学 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

When waves impinge on a disordered material they are back-scattered and form a highly complex interference pattern. Suppressing any such distortions in the free propagation of a wave is a challenging task with many applications in a number…

It is shown that a well-known theory of random stationary processes contain contradictions. Integral representations of correlation functions and random stationary processes are investigated further. The new method of struggle with…

统计理论 · 数学 2011-03-09 V. N. Tibabishev

Fundamental rate-distortion-perception (RDP) trade-offs arise in applications requiring maintained perceptual quality of reconstructed data, such as neural image compression. When compressed data is transmitted over public communication…

信息论 · 计算机科学 2026-04-23 Gustaf Åhlgren , Onur Günlü

We propose a novel deformation corrected compressed sensing (DC-CS) framework to recover dynamic magnetic resonance images from undersampled measurements. We introduce a generalized formulation that is capable of handling a wide class of…

计算机视觉与模式识别 · 计算机科学 2014-09-04 Sajan Goud Lingala , Edward DiBella , Mathews Jacob

The objective of this work is to train noise-robust speaker embeddings adapted for speaker diarisation. Speaker embeddings play a crucial role in the performance of diarisation systems, but they often capture spurious information such as…

声音 · 计算机科学 2022-11-04 You Jin Kim , Hee-Soo Heo , Jee-weon Jung , Youngki Kwon , Bong-Jin Lee , Joon Son Chung

Many of the challenges facing today's reinforcement learning (RL) algorithms, such as robustness, generalization, transfer, and computational efficiency are closely related to compression. Prior work has convincingly argued why minimizing…

机器学习 · 计算机科学 2021-09-08 Benjamin Eysenbach , Ruslan Salakhutdinov , Sergey Levine

One of the simplest and least resource-intensive methods to suppress decoherence for qubit operations, namely, dynamical decoupling (DD), is investigated for a broad range of realistic noise sources with time-retarded feedback. By way of…

量子物理 · 物理学 2025-02-06 Kiyoto Nakamura , Joachim Ankerhold

The ability to generalize to a wide range of recording devices is a crucial performance factor for audio classification models. The characteristics of different types of microphones introduce distributional shifts in the digitized audio…

声音 · 计算机科学 2025-03-17 Tobias Morocutti , Florian Schmid , Khaled Koutini , Gerhard Widmer

Dynamic mode decomposition (DMD) is an efficient tool for decomposing spatio-temporal data into a set of low-dimensional modes, yielding the oscillation frequencies and the growth rates of physically significant modes. In this paper, we…

动力系统 · 数学 2023-02-21 Minwoo Lee , Jongho Park

Data-enabled predictive control (DeePC) leverages system measurements in characterizing system dynamics for optimal control. The performance of DeePC relies on optimizing its hyperparameters, especially in noisy systems where the optimal…

最优化与控制 · 数学 2025-06-02 Jinbao Wang , Shiliang Zhang , Jun Liu , Xuehui Ma , Haolin Liu

We propose and demonstrate experimentally continuous phased dynamical decoupling (CPDD), where we apply a continuous field with discrete phase changes for quantum sensing and robust compensation of environmental and amplitude noise. CPDD…

Representation learning has been increasing its impact on the research and practice of machine learning, since it enables to learn representations that can apply to various downstream tasks efficiently. However, recent works pay little…

While diffusion models have achieved great success in generating continuous signals such as images and audio, it remains elusive for diffusion models in learning discrete sequence data like natural languages. Although recent advances…

计算与语言 · 计算机科学 2024-05-02 Jiasheng Ye , Zaixiang Zheng , Yu Bao , Lihua Qian , Mingxuan Wang

Advanced auditory models are useful in designing signal-processing algorithms for hearing-loss compensation or speech enhancement. Such auditory models provide rich and detailed descriptions of the auditory pathway, and might allow for…

音频与语音处理 · 电气工程与系统科学 2024-03-18 Peter Leer , Jesper Jensen , Zheng-Hua Tan , Jan Østergaard , Lars Bramsløw

Recently, it is observed [Md. Nurujjaman et al, Phy. Rev. E \textbf{80}, 015201 (R) (2009)] that in an excitable system, one can maintain noise induced coherency in the coherence resonance by blocking the destructive effect of the noise on…

混沌动力学 · 物理学 2010-03-17 Md. Nurujjaman

Speech representation and modelling in high-dimensional spaces of acoustic waveforms, or a linear transformation thereof, is investigated with the aim of improving the robustness of automatic speech recognition to additive noise. The…

计算与语言 · 计算机科学 2015-03-31 Matthew Ager , Zoran Cvetkovic , Peter Sollich

This paper considers the problem of detecting a high dimensional signal (not necessarily sparse) based on compressed measurements with physical layer secrecy guarantees. First, we propose a collaborative compressive detection (CCD)…

应用统计 · 统计学 2015-02-19 Bhavya Kailkhura , Thakshila Wimalajeewa , Pramod K. Varshney

Diffusion models have emerged as powerful tools for generative tasks, producing high-quality outputs across diverse domains. However, how the generated data responds to the initial noise perturbation in diffusion models remains…

机器学习 · 计算机科学 2025-02-10 Bowen Song , Zecheng Zhang , Zhaoxu Luo , Jason Hu , Wei Yuan , Jing Jia , Zhengxu Tang , Guanyang Wang , Liyue Shen

We investigate here various properties of the responses of excitable systems subject to periodic forcing and noise. While the properties of intrinsic oscillators, subject to added periodic signals, are well understood, much less is known…

神经元与认知 · 定量生物学 2025-10-22 Jonathan E. Rubin , Justyna Signerska-Rynkowska , Jonathan Touboul