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Spin-weighted spheroidal harmonics are useful in a variety of physical situations, including light scattering, nuclear modeling, signal processing, electromagnetic wave propagation, black hole perturbation theory in four and higher…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Emanuele Berti , Vitor Cardoso , Marc Casals

We have witnessed an impressive advancement in computer performance in the last couple of decades. One would therefore expect a trickling down of the benefits of this technological advancement to the borough of computational simulation of…

其他凝聚态物理 · 物理学 2019-07-17 J. A. Gyamfi

Multitrack music transcription aims to transcribe a music audio input into the musical notes of multiple instruments simultaneously. It is a very challenging task that typically requires a more complex model to achieve satisfactory result.…

声音 · 计算机科学 2023-06-21 Wei-Tsung Lu , Ju-Chiang Wang , Yun-Ning Hung

We investigate the passivity constraints on the relations between transmission, reflection, and absorption eigenvalues in linear time-invariant systems. Using techniques from matrix analysis, we derive necessary and sufficient conditions…

光学 · 物理学 2024-10-08 Cheng Guo , Shanhui Fan

Translating or rotating an input image should not affect the results of many computer vision tasks. Convolutional neural networks (CNNs) are already translation equivariant: input image translations produce proportionate feature map…

计算机视觉与模式识别 · 计算机科学 2017-04-12 Daniel E. Worrall , Stephan J. Garbin , Daniyar Turmukhambetov , Gabriel J. Brostow

This study introduces time-reversal E(3)-equivariant neural network and SpinGNN++ framework for constructing a comprehensive interatomic potential for magnetic systems, encompassing spin-orbit coupling and noncollinear magnetic moments.…

材料科学 · 物理学 2025-03-14 Hongyu Yu , Boyu Liu , Yang Zhong , Liangliang Hong , Junyi Ji , Changsong Xu , Xingao Gong , Hongjun Xiang

A simple and efficient variational method is introduced to accelerate the convergence of the eigenenergy computations for a Hamiltonian H with singular potentials. Closed-form analytic expressions in N dimensions are obtained for the matrix…

数学物理 · 物理学 2009-11-10 Nasser Saad , Richard L. Hall , Qutaibeh D. Katatbeh

Automatic Music Transcription, which consists in transforming an audio recording of a musical performance into symbolic format, remains a difficult Music Information Retrieval task. In this work, which focuses on piano transcription, we…

声音 · 计算机科学 2022-04-15 Haoran Wu , Axel Marmoret , Jérémy E. Cohen

We present an application of variational-wavelet analysis to quasiclassical calculations of solutions of Wigner equations related to nonlinear (polynomial) dynamical problems. (Naive) deformation quantization, multiresolution…

量子物理 · 物理学 2009-11-07 Antonina N. Fedorova , Michael G. Zeitlin

A finite Hilbert space can be associated to a periodic phase space, that is, a torus. A finite subgroup of operators corresponding to reflections and translations on the torus form respectively the basis for the discrete Weyl…

量子物理 · 物理学 2019-02-20 Marcos Saraceno , Alfredo M. Ozorio de Almeida

To apply neural sequence models such as the Transformers to music generation tasks, one has to represent a piece of music by a sequence of tokens drawn from a finite set of pre-defined vocabulary. Such a vocabulary usually involves tokens…

声音 · 计算机科学 2021-01-08 Wen-Yi Hsiao , Jen-Yu Liu , Yin-Cheng Yeh , Yi-Hsuan Yang

In this work we introduce a self-supervised pretraining framework for transformers on functional Magnetic Resonance Imaging (fMRI) data. First, we pretrain our architecture on two self-supervised tasks simultaneously to teach the model a…

机器学习 · 计算机科学 2023-05-17 Sean Paulsen , Michael Casey

We present a new approach for representing and reconstructing multidimensional magnetic resonance imaging (MRI) data. Our method builds on a novel, learned feature-based image representation that disentangles different types of features,…

图像与视频处理 · 电气工程与系统科学 2026-01-01 Ruiyang Zhao , Fan Lam

Two-dimensional (2D) in-plane heterostructures including compositionally graded alloys and lateral heterostructures with defined interfaces display rich optoelectronic properties and offer versatile platforms to explore one-dimensional…

材料科学 · 物理学 2025-11-14 Maninder Kaur , Nicolas T. Sandino , Jason P. Terry , Mahdi Ghafariasl , Yohannes Abate

We present a supervised neural network model for polyphonic piano music transcription. The architecture of the proposed model is analogous to speech recognition systems and comprises an acoustic model and a music language model. The…

机器学习 · 统计学 2016-02-12 Siddharth Sigtia , Emmanouil Benetos , Simon Dixon

Recent advances in polyphonic piano transcription have been made primarily by a deliberate design of neural network architectures that detect different note states such as onset or sustain and model the temporal evolution of the states. The…

音频与语音处理 · 电气工程与系统科学 2020-10-05 Taegyun Kwon , Dasaem Jeong , Juhan Nam

Eigenvalue estimates that are optimal in some sense have self-evident appeal and leave estimators with a sense of virtue and economy. So, it is natural that ongoing searches for effective strategies for difficult tasks such as estimating…

环与代数 · 数学 2007-05-23 Christopher Beattie

Consider the following three important problems in statistical inference, namely, constructing confidence intervals for (1) the error of a high-dimensional ($p>n$) regression estimator, (2) the linear regression noise level, and (3) the…

统计方法学 · 统计学 2016-06-29 Lucas Janson , Rina Foygel Barber , Emmanuel Candès

The mridangam is a double-headed percussion instrument that plays a key role in Carnatic music concerts. This paper presents a novel automatic transcription algorithm to classify the strokes played on the mridangam. Onset detection is first…

音频与语音处理 · 电气工程与系统科学 2022-11-29 Kausthubh Chandramouli , William Sethares

In lossless acoustic systems, mode transitions are always time-reversible, consistent with Lorentz reciprocity, giving rise to symmetric sound manipulation in space-time. To overcome this fundamental limitation and break space-time…