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The representation of complex systems as networks is inappropriate for the study of certain problems. We show several examples of social, biological, ecological and technological systems where the use of complex networks gives very limited…

Physics and Society · Physics 2013-04-02 Ernesto Estrada , Juan A. Rodriguez-Velazquez

In multiscale modelling, multiple models are used simultaneously to describe scale-dependent phenomena in a system of interest. Here we introduce a machine learning (ML)-based multiscale modelling framework for modelling hierarchical…

Geophysics · Physics 2022-04-13 Mark Ashworth , Ahmed Elsheikh , Florian Doster

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

Class-labeled datasets, particularly those common in scientific domains, are rife with internal structure, yet current class-conditional diffusion models ignore these relationships and implicitly diffuse on all classes in a flat fashion. To…

Machine Learning · Computer Science 2024-02-05 Alex M. Tseng , Max Shen , Tommaso Biancalani , Gabriele Scalia

Data Mining is the process of extracting useful patterns from the huge amount of database and many data mining techniques are used for mining these patterns. Recently, one of the remarkable facts in higher educational institute is the rapid…

Artificial Intelligence · Computer Science 2014-05-16 Priyanka Saini

In this work we present a clustering technique called \textit{multi-level conformal clustering (MLCC)}. The technique is hierarchical in nature because it can be performed at multiple significance levels which yields greater insight into…

Machine Learning · Statistics 2020-06-25 Ilia Nouretdinov , James Gammerman , Matteo Fontana , Daljit Rehal

Higher-order networks are widely used to describe complex systems in which interactions can involve more than two entities at once. In this paper, we focus on inclusion within higher-order networks, referring to situations where specific…

Physics and Society · Physics 2025-07-22 Nicholas W. Landry , Jean-Gabriel Young , Nicole Eikmeier

We define and solve classes of sparse matrix problems that arise in multilevel modeling and data analysis. The classes are indexed by the number of nested units, with two-level problems corresponding to the common situation in which data on…

Statistics Theory · Mathematics 2020-03-13 Tui H. Nolan , Matt P. Wand

The latent class model is a widely used mixture model for multivariate discrete data. Besides the existence of qualitatively heterogeneous latent classes, real data often exhibit additional quantitative heterogeneity nested within each…

Methodology · Statistics 2025-01-23 Zhongyuan Lyu , Ling Chen , Yuqi Gu

Classification algorithms in machine learning often assume a flat label space. However, most real world data have dependencies between the labels, which can often be captured by using a hierarchy. Utilizing this relation can help develop a…

Machine Learning · Computer Science 2020-06-09 Palash Goyal , Shalini Ghosh

We present a novel hierarchical approach to multi-class classification which is generic in that it can be applied to different classification models (e.g., support vector machines, perceptrons), and makes no explicit assumptions about the…

Machine Learning · Computer Science 2016-01-07 Thomas Kopinski , Stéphane Magand , Uwe Handmann , Alexander Gepperth

The multi-group learning model formalizes the learning scenario in which a single predictor must generalize well on multiple, possibly overlapping subgroups of interest. We extend the study of multi-group learning to the natural case where…

Machine Learning · Computer Science 2024-06-13 Samuel Deng , Daniel Hsu

Multilayer bootstrap network builds a gradually narrowed multilayer nonlinear network from bottom up for unsupervised nonlinear dimensionality reduction. Each layer of the network is a nonparametric density estimator. It consists of a group…

Machine Learning · Computer Science 2018-03-07 Xiao-Lei Zhang

Network classification aims to group networks (or graphs) into distinct categories based on their structure. We study the connection between classification of a network and of its constituent nodes, and whether nodes from networks in…

Social and Information Networks · Computer Science 2022-08-04 Saray Shai , Isaac Jacobs , Peter J. Mucha

Unsupervised models can provide supplementary soft constraints to help classify new target data under the assumption that similar objects in the target set are more likely to share the same class label. Such models can also help detect…

Machine Learning · Computer Science 2015-03-13 Ayan Acharya , Eduardo R. Hruschka , Joydeep Ghosh , Badrul Sarwar , Jean-David Ruvini

The hierarchical structure inherent in many real-world datasets makes the modeling of such hierarchies a crucial objective in both unsupervised and supervised machine learning. While recent advancements have introduced deep architectures…

Machine Learning · Computer Science 2025-12-19 Emanuele Palumbo , Moritz Vandenhirtz , Alain Ryser , Imant Daunhawer , Julia E. Vogt

Hierarchical attention networks have recently achieved remarkable performance for document classification in a given language. However, when multilingual document collections are considered, training such models separately for each language…

Computation and Language · Computer Science 2017-09-18 Nikolaos Pappas , Andrei Popescu-Belis

Many data sets contain an inherent multilevel structure, for example, because of repeated measurements of the same observational units. Taking this structure into account is critical for the accuracy and calibration of any statistical…

Methodology · Statistics 2020-05-07 Topi Paananen , Alejandro Catalina , Paul-Christian Bürkner , Aki Vehtari

Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

Physics and Society · Physics 2019-03-21 Alberto Aleta , Yamir Moreno

Multi-view clustering has been widely used in recent years in comparison to single-view clustering, for clear reasons, as it offers more insights into the data, which has brought with it some challenges, such as how to combine these views…

Machine Learning · Computer Science 2025-11-25 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani