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While modern biotechnologies allow synthesizing new proteins and function measurements at scale, efficiently exploring a protein sequence space and engineering it remains a daunting task due to the vast sequence space of any given protein.…

Biomolecules · Quantitative Biology 2024-01-15 Jiahao Qiu , Hui Yuan , Jinghong Zhang , Wentao Chen , Huazheng Wang , Mengdi Wang

Decision trees have been widely used as classifiers in many machine learning applications thanks to their lightweight and interpretable decision process. This paper introduces Tree in Tree decision graph (TnT), a framework that extends the…

Machine Learning · Computer Science 2021-11-01 Bingzhao Zhu , Mahsa Shoaran

We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find the intrinsic low-dimensionality in ensembles of graphs can be useful in a variety of…

Social and Information Networks · Computer Science 2016-12-12 Karthikeyan Rajendran , Assimakis A. Kattis , Alexander Holiday , Risi Kondor , Ioannis G. Kevrekidis

Consider observation data, comprised of n observation vectors with values on a set of attributes. This gives us n points in attribute space. Having data structured as a tree, implied by having our observations embedded in an ultrametric…

Information Retrieval · Computer Science 2012-02-17 Fionn Murtagh , Pedro Contreras

Graphs are extremely versatile and ubiquitous mathematical structures with potential to model a wide range of domains. For this reason, graph problems have been of interest since the early days of computer science. Some of these problems…

Data Structures and Algorithms · Computer Science 2013-09-02 Rui Ferreira

Owing to their versatility, graph structures admit representations of intricate relationships between the separate entities comprising the data. We formalise the notion of connection between two vertex sets in terms of edge and vertex…

Machine Learning · Computer Science 2022-08-23 Peter Belcak , Roger Wattenhofer

The increasing complexity of data requires methods and models that can effectively handle intricate structures, as simplifying them would result in loss of information. While several analytical tools have been developed to work with complex…

Methodology · Statistics 2023-06-16 Riccardo Giubilei , Tullia Padellini , Pierpaolo Brutti

The use of machine learning algorithms in finance, medicine, and criminal justice can deeply impact human lives. As a consequence, research into interpretable machine learning has rapidly grown in an attempt to better control and fix…

Machine Learning · Computer Science 2021-02-02 Thibaut Vidal , Toni Pacheco , Maximilian Schiffer

In many real world networks, a vertex is usually associated with a transaction database that comprehensively describes the behaviour of the vertex. A typical example is the social network, where the behaviour of every user is depicted by a…

Databases · Computer Science 2018-05-10 Mingtao Lei , Lingyang Chu , Zhefeng Wang

In mathematical phylogenetics, evolutionary relationships are often represented by trees and networks. The latter are typically used whenever the relationships cannot be adequately described by a tree, which happens when so-called…

Populations and Evolution · Quantitative Biology 2025-12-05 Mirko Wilde , Mareike Fischer

Long document classification presents challenges in capturing both local and global dependencies due to their extensive content and complex structure. Existing methods often struggle with token limits and fail to adequately model…

Computation and Language · Computer Science 2024-10-07 Sudipta Singha Roy , Xindi Wang , Robert E. Mercer , Frank Rudzicz

Due to the rapid development of science and technology, the importance of imprecise, noisy, and uncertain data is increasing at an exponential rate. Thus, mining patterns in uncertain databases have drawn the attention of researchers.…

Constraint-based pattern discovery is at the core of numerous data mining tasks. Patterns are extracted with respect to a given set of constraints (frequency, closedness, size, etc). In the context of sequential pattern mining, a large…

Artificial Intelligence · Computer Science 2013-11-28 Jean-Philippe Métivier , Samir Loudni , Thierry Charnois

We study an abstract notion of tree structure which lies at the common core of various tree-like discrete structures commonly used in combinatorics: trees in graphs, order trees, nested subsets of a set, tree-decompositions of graphs and…

Combinatorics · Mathematics 2017-02-28 Reinhard Diestel

Data analysis and data mining are concerned with unsupervised pattern finding and structure determination in data sets. The data sets themselves are explicitly linked as a form of representation to an observational or otherwise empirical…

Machine Learning · Statistics 2011-01-11 Fionn Murtagh

Association rule mining techniques can generate a large volume of sequential data when implemented on transactional databases. Extracting insights from a large set of association rules has been found to be a challenging process. When…

Machine Learning · Computer Science 2023-11-22 Mikhail Kudriavtsev , Marija Bezbradica , Andrew McCarren

Recent research on pattern discovery has progressed from mining frequent patterns and sequences to mining structured patterns, such as trees and graphs. Graphs as general data structure can model complex relations among data with wide…

Databases · Computer Science 2013-12-17 Ghazi Al-Naymat

Substructure search in chemical compound databases is a fundamental task in cheminformatics with critical implications for fields such as drug discovery, materials science, and toxicology. However, the increasing size and complexity of…

Databases · Computer Science 2023-10-04 Vsevolod Vaskin , Dmitri Jakovlev , Fedor Bakharev

Graph mining applications analyze the structural properties of large graphs, and they do so by finding subgraph isomorphisms, which makes them computationally intensive. Existing graph mining techniques including both custom graph mining…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-09 Kasra Jamshidi , Keval Vora

In this uncertain world, data uncertainty is inherent in many applications and its importance is growing drastically due to the rapid development of modern technologies. Nowadays, researchers have paid more attention to mine patterns in…