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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…

Audio and Speech Processing · Electrical Eng. & Systems 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…

Machine Learning · Statistics 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…

Analysis of PDEs · Mathematics 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…

Earth and Planetary Astrophysics · Physics 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…

Chaotic Dynamics · Physics 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…

Data Analysis, Statistics and Probability · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Sound · Computer Science 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…

Combinatorics · Mathematics 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 $k\in\mathbb{N}$,…

Number Theory · Mathematics 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…

Solar and Stellar Astrophysics · Physics 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…

Computation and Language · Computer Science 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…

Machine Learning · Computer Science 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…

Sound · Computer Science 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…

Machine Learning · Computer Science 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…

Superconductivity · Physics 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…

Dynamical Systems · Mathematics 2018-04-04 Hui Wang , Xiaoli Chen , Jinqiao Duan