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In deep learning research, many melody extraction models rely on redesigning neural network architectures to improve performance. In this paper, we propose an input feature modification and a training objective modification based on two…

Sound · Computer Science 2023-08-08 Keren Shao , Ke Chen , Taylor Berg-Kirkpatrick , Shlomo Dubnov

Dependencies on the relative frequency of a state in the domain are common when modelling probabilistic dependencies on relational data. For instance, the likelihood of a school closure during an epidemic might depend on the proportion of…

Artificial Intelligence · Computer Science 2024-08-21 Felix Weitkämper

High dimensional random dynamical systems are ubiquitous, including -- but not limited to -- cyber-physical systems, daily return on different stocks of S&P 1500 and velocity profile of interacting particle systems around McKeanVlasov…

Statistics Theory · Mathematics 2023-10-17 Muhammad Abdullah Naeem , Amir Khazraei , Miroslav Pajic

We consider the nonparametric estimation of the density function of weakly and strongly dependent processes with noisy observations. We show that in the ordinary smooth case the optimal bandwidth choice can be influenced by long range…

Statistics Theory · Mathematics 2008-08-13 Rafał Kulik

Automatic sarcasm detection methods have traditionally been designed for maximum performance on a specific domain. This poses challenges for those wishing to transfer those approaches to other existing or novel domains, which may be…

Computation and Language · Computer Science 2018-06-12 Natalie Parde , Rodney D. Nielsen

There is a wide availability of methods for testing normality under the assumption of independent and identically distributed data. When data are dependent in space and/or time, however, assessing and testing the marginal behavior is…

Methodology · Statistics 2023-10-17 Minwoo Kim , Marc G Genton , Raphael Huser , Stefano Castruccio

Boolean functions can be used to express the groundness of, and trace grounding dependencies between, program variables in (constraint) logic programs. In this paper, a variety of issues pertaining to the efficient Prolog implementation of…

Programming Languages · Computer Science 2007-05-23 Jacob M. Howe , Andy King

We present a fast and simple algorithm that allows the extraction of multiple exponential signals from the temporal dependence of correlation functions evaluated on the lattice including the statistical fluctuations of each signal and…

High Energy Physics - Lattice · Physics 2019-10-09 S. Romiti , S. Simula

Interval identification of parameters such as average treatment effects, average partial effects and welfare is particularly common when using observational data and experimental data with imperfect compliance due to the endogeneity of…

Econometrics · Economics 2025-04-09 Sukjin Han , Adam McCloskey

This short note suggests a heuristic method for detecting the dependence of random time series that can be used in the case when this dependence is relatively weak and such that the traditional methods are not effective. The method requires…

Statistical Finance · Quantitative Finance 2012-02-03 Nikolai Dokuchaev

The most common method for calculating accurate numerical solutions for complicated linear differential equations - for example, finding eigenvalues and eigenfunctions of the Schrodinger equation for many-electron atoms - is the variational…

Computational Physics · Physics 2014-11-13 Charles Schwartz

Brain connectivity analysis is now at the foreground of neuroscience research. A connectivity network is characterized by a graph, where nodes represent neural elements such as neurons and brain regions, and links represent statistical…

Methodology · Statistics 2015-11-04 Yin Xia , Lexin Li

We extend stochastic basis adaptation and spatial domain decomposition methods to solve time varying stochastic partial differential equations (SPDEs) with a large number of input random parameters. Stochastic basis adaptation allows the…

Numerical Analysis · Mathematics 2021-03-08 Ramakrishna Tipireddy , Panos Stinis , Alexandre M. Tartakovsky

Graphical models have gained a lot of attention recently as a tool for learning and representing dependencies among variables in multivariate data. Often, domain scientists are looking specifically for differences among the dependency…

Machine Learning · Statistics 2013-07-11 Diane Oyen , Alexandru Niculescu-Mizil , Rachel Ostroff , Alex Stewart , Vincent P. Clark

Identifiability of discrete statistical models with latent variables is known to be challenging to study, yet crucial to a model's interpretability and reliability. This work presents a general algebraic technique to investigate…

Statistics Theory · Mathematics 2024-03-20 Yuqi Gu

Heuristic-based methods are among the most popular methods in the process discovery area. This category of methods is composed of two main steps: 1) discovering a dependency graph 2) determining the split/join patterns of the dependency…

Artificial Intelligence · Computer Science 2022-03-22 Maryam Tavakoli-Zaniani , Mohammad Reza Gholamian , S. Alireza Hashemi Golpayegani

The use of ordinal patterns (OPs) for analyzing the dependence structure of univariate and continuously distributed processes has gained popularity in recent years. This research goes one step further and considers the transcripts being…

Methodology · Statistics 2026-05-26 Christian H. Weiß , José M. Amigó

This paper deals with the problem of nonparametric independence testing, a fundamental decision-theoretic problem that asks if two arbitrary (possibly multivariate) random variables $X,Y$ are independent or not, a question that comes up in…

Machine Learning · Statistics 2015-09-04 Aaditya Ramdas , Leila Wehbe

The fundamental functional summary statistics used for studying spatial point patterns are developed for marked homogeneous and inhomogeneous point processes on the surface of a sphere. These are extended to point processes on the surface…

Methodology · Statistics 2024-10-03 Scott Ward , Edward A. K. Cohen , Niall M. Adams

Dynamic substructuring, especially the frequency-based variant (FBS) using frequency response functions (FRF), is gaining in popularity and importance, with countless successful applications, both numerically and experimentally. One…

Applied Physics · Physics 2024-12-16 Oliver Maximilian Zobel , Francesco Trainotti , Daniel J. Rixen