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We review some recent methods of subgrid-scale parameterization used in the context of climate modeling. These methods are developed to take into account (subgrid) processes playing an important role in the correct representation of the…

Statistical Mechanics · Physics 2017-01-18 Jonathan Demaeyer , Stéphane Vannitsem

The Mapper algorithm is a fundamental tool in exploratory topological data analysis for identifying connectivity and topological clustering in data. Derived from the nerve construction, Mapper graphs can contain additional information about…

Computational Geometry · Computer Science 2025-09-30 Halley Fritze

Constrained sequential pattern mining aims at identifying frequent patterns on a sequential database of items while observing constraints defined over the item attributes. We introduce novel techniques for constraint-based sequential…

Machine Learning · Computer Science 2019-01-01 Amin Hosseininasab , Willem-Jan van Hoeve , Andre A. Cire

This article provides an overview on the statistical modeling of complex data as increasingly encountered in modern data analysis. It is argued that such data can often be described as elements of a metric space that satisfies certain…

Methodology · Statistics 2024-02-28 Paromita Dubey , Yaqing Chen , Hans-Georg Müller

A data analysis pipeline is a structured sequence of steps that transforms raw data into meaningful insights by integrating various analysis algorithms. In this paper, we propose a novel statistical test to assess the significance of data…

Machine Learning · Statistics 2024-10-15 Tomohiro Shiraishi , Tatsuya Matsukawa , Shuichi Nishino , Ichiro Takeuchi

Sampling-based algorithms are widely used for motion planning in high-dimensional configuration spaces. However, due to low sampling efficiency, their performance often diminishes in complex configuration spaces with narrow corridors.…

Robotics · Computer Science 2025-07-22 Lu Huang , Lingxiao Meng , Jiankun Wang , Xingjian Jing

Context: The importance of the feature modeling for the software product lines considering the modeling and management of the variability. Objective: Define a protocol to conduct a systematic mapping study to summarize and synthesize the…

Software Engineering · Computer Science 2021-03-31 Samuel Sepúlveda , Marcelo Esperguel

Particle tracking is a powerful biophysical tool that requires conversion of large video files into position time series, i.e. traces of the species of interest for data analysis. Current tracking methods, based on a limited set of input…

Quantitative Methods · Quantitative Biology 2018-10-09 Jay M. Newby , Alison M. Schaefer , Phoebe T. Lee , M. Gregory Forest , Samuel K. Lai

A complex system comprises multiple interacting entities whose interdependencies form a unified whole, exhibiting emergent behaviours not present in individual components. Examples include the human brain, living cells, soft matter, Earth's…

High-dimensional feature selection is a central problem in a variety of application domains such as machine learning, image analysis, and genomics. In this paper, we propose graph-based tests as a useful basis for feature selection. We…

Methodology · Statistics 2024-08-13 Swarnadip Ghosh , Somabha Mukherjee , Divyansh Agarwal , Yichen He , Mingzhi Song , Xuejiao Pei

Order parameters based on spherical harmonics and Fourier coefficients already play a significant role in condensed matter research in the context of systems of spherical or point particles. Here, we extend these types of order parameter to…

Soft Condensed Matter · Physics 2010-12-22 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

We describe a framework for defining high-order image models that can be used in a variety of applications. The approach involves modeling local patterns in a multiscale representation of an image. Local properties of a coarsened image…

Computer Vision and Pattern Recognition · Computer Science 2014-12-15 Pedro F. Felzenszwalb , John G. Oberlin

Methods for global measurement of transcript abundance such as microarrays and RNA-Seq generate datasets in which the number of measured features far exceeds the number of observations. Extracting biologically meaningful and experimentally…

Methodology · Statistics 2022-06-22 Lei Ding , Gabriel E. Zentner , Daniel J. McDonald

Modern data sets, such as those in healthcare and e-commerce, are often derived from many individuals or systems but have insufficient data from each source alone to separately estimate individual, often high-dimensional, model parameters.…

Machine Learning · Computer Science 2024-11-14 Maryann Rui , Thibaut Horel , Munther Dahleh

The problem of estimating parameters of a deterministic jump or piecewise linear model is considered. A subspace technique referred to as spectral clustering on subspace (SCS) algorithm is proposed to estimate a set of linear model…

Methodology · Statistics 2013-07-02 Liang Li , Wei Dong , Yindong Ji , Lang Tong

Parameter estimation in astrophysics often requires the use of complex physical models. In this paper we study the problem of estimating the parameters that describe star formation history (SFH) in galaxies. Here, high-dimensional spectral…

Applications · Statistics 2012-03-21 Joseph W. Richards , Ann B. Lee , Chad M. Schafer , Peter E. Freeman

Sensitivity analyses of simulation ensembles determine how simulation parameters influence the simulation's outcome. Commonly, one global numerical sensitivity value is computed per simulation parameter. However, when considering 3D spatial…

Human-Computer Interaction · Computer Science 2024-08-08 Marina Evers , Simon Leistikow , Hennes Rave , Lars Linsen

Traditional end-to-end congestion control mechanisms assume data transferring happens between each pair user. In contrast, in a P2P network, many peers may locally keep a copy of a specific data object. If the path between a pair of peers…

Networking and Internet Architecture · Computer Science 2010-03-30 Yong-Xiang Zhao , Chang-Jia Chen

We study the problem of parameterized matching in a stream where we want to output matches between a pattern of length m and the last m symbols of the stream before the next symbol arrives. Parameterized matching is a natural generalisation…

Data Structures and Algorithms · Computer Science 2012-09-25 Markus Jalsenius , Benny Porat , Benjamin Sach

Based on the continuous interpretation of deep learning cast as an optimal control problem, this paper investigates the benefits of employing B-spline basis functions to parameterize neural network controls across the layers. Rather than…

Machine Learning · Computer Science 2021-03-02 Stefanie Günther , Will Pazner , Dongping Qi