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The Bengali language, spoken extensively across South Asia and among diasporic communities, exhibits considerable dialectal diversity shaped by geography, culture, and history. Phonological and pronunciation-based classifications broadly…

A recitation is a way of combining the words together so that they have a sense of rhythm and thus an emotional content is imbibed within. In this study we envisaged to answer these questions in a scientific manner taking into consideration…

音频与语音处理 · 电气工程与系统科学 2020-08-06 Chirayata Bhattacharyya , Sourya Sengupta , Sayan Nag , Shankha Sanyal , Archi Banerjee , Ranjan Sengupta , Dipak Ghosh

This work was developed aiming to employ Statistical techniques to the field of Music Emotion Recognition, a well-recognized area within the Signal Processing world, but hardly explored from the statistical point of view. Here, we opened…

机器学习 · 统计学 2021-07-13 Nathalie Deziderio , Hugo Tremonte de Carvalho

Stochastic dynamics has emerged as one of the key themes ranging from models in applications to theoretical foundations in mathematics. One class of stochastic dynamics problems that has received considerable attention recently are…

偏微分方程分析 · 数学 2021-11-16 Christian Kuehn , James MacLaurin , Giulio Zucal

We show that grains streaming through a fluid are generically unstable if their velocity, projected along some direction, matches the phase velocity of a fluid wave (linear oscillation). This can occur whenever grains stream faster than any…

地球与行星天体物理 · 物理学 2018-04-11 Jonathan Squire , Philip F. Hopkins

We investigate the hopping dynamics between different attractors in a multistable system under the influence of noise. Using symbolic dynamics we find a sudden increase of dynamical entropies, when a system parameter is varied. This effect…

混沌动力学 · 物理学 2007-05-23 Suso Kraut , Ulrike Feudel

Correlation and similarity measures are widely used in all the areas of sciences and social sciences. Often the variables are not numbers but are instead qualitative descriptors called categorical data. We define and study similarity…

数据分析、统计与概率 · 物理学 2015-10-08 Aashay Patil , M. S. Santhanam

The vibrations of gold nanowires and nanorods are investigated numerically in the framework of continuum elasticity using the Rayleigh-Ritz variational method. Special attention is paid to identify the vibrations relevant in Raman…

介观与纳米尺度物理 · 物理学 2018-04-24 L. Saviot

Vocal pitch is an important high-level feature in music audio processing. However, extracting vocal pitch in polyphonic music is more challenging due to the presence of accompaniment. To eliminate the influence of the accompaniment, most…

声音 · 计算机科学 2024-01-09 Haojie Wei , Xueke Cao , Tangpeng Dan , Yueguo Chen

For two graphs, $G$, and $H$, an edge-coloring of a complete graph is $(G,H)$-good if there is no monochromatic subgraph isomorphic to $G$ and no rainbow subgraph isomorphic to $H$ in this coloring. The set of number of colors used by some…

组合数学 · 数学 2010-05-18 Maria Axenovich , JiHyeok Choi

The well-known Hardy--Ramanujan inequality states that if $\omega(n)$ denotes the number of distinct prime factors of a positive integer $n$, then there is an absolute constant $C>0$ such that uniformly for $x\ge2$ and $k\in\mathbb{N}$,…

数论 · 数学 2025-12-19 Steve Fan

Despite more and more observational data, stellar acoustic oscillation modes are not well understood as soon as rotation cannot be treated perturbatively. In a way similar to semiclassical theory in quantum physics, we use acoustic ray…

太阳与恒星天体物理 · 物理学 2011-09-16 M. Pasek , B. Georgeot , F. Lignieres , D. R. Reese

Retrieval-Augmented Generation (RAG) enhances recency and factuality in answers. However, existing evaluations rarely test how well these systems cope with real-world noise, conflicting between internal and external retrieved contexts, or…

计算与语言 · 计算机科学 2025-10-29 Yixiao Zeng , Tianyu Cao , Danqing Wang , Xinran Zhao , Zimeng Qiu , Morteza Ziyadi , Tongshuang Wu , Lei Li

To compliment the existing set of datasets, we present a small dataset entitled vocadito, consisting of 40 short excerpts of monophonic singing, sung in 7 different languages by singers with varying of levels of training, and recorded on a…

The variance reduction class of algorithms including the representative ones, SVRG and SARAH, have well documented merits for empirical risk minimization problems. However, they require grid search to tune parameters (step size and the…

机器学习 · 计算机科学 2020-06-11 Bingcong Li , Lingda Wang , Georgios B. Giannakis

Music listening preferences at a given time depend on a wide range of contextual factors, such as user emotional state, location and activity at listening time, the day of the week, the time of the day, etc. It is therefore of great…

Despite the recent increase in research on artificial intelligence for music, prominent correlations between key components of lyrics and rhythm such as keywords, stressed syllables, and strong beats are not frequently studied. This is…

声音 · 计算机科学 2025-07-10 Callie C. Liao , Duoduo Liao , Jesse Guessford

SmoothGrad and VarGrad are techniques that enhance the empirical quality of standard saliency maps by adding noise to input. However, there were few works that provide a rigorous theoretical interpretation of those methods. We analytically…

机器学习 · 计算机科学 2018-06-11 Junghoon Seo , Jeongyeol Choe , Jamyoung Koo , Seunghyeon Jeon , Beomsu Kim , Taegyun Jeon

In this paper we study numerical solutions to the quasi-classical equations of motion for a SQUID ring-radio frequency (rf) resonator system in the regime where the ring is highly hysteretic. In line with experiment, we show that for a…

超导电性 · 物理学 2007-05-23 P. Stiffell , M. J. Everitt , T. D. Clark , J. F. Ralph

We study stochastic bifurcation for a system under multiplicative stable Levy noise (an important class of non-Gaussian noise), by examining the qualitative changes of equilibrium states in its most probable phase portraits. We have found…

动力系统 · 数学 2018-04-04 Hui Wang , Xiaoli Chen , Jinqiao Duan