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This paper presents an extension and an elaboration of the theory of differential similarity, which was originally proposed in arXiv:1401.2411 [cs.LG]. The goal is to develop an algorithm for clustering and coding that combines a geometric…

Machine Learning · Computer Science 2024-05-14 L. Thorne McCarty

Symbolic computation, powered by modern computer algebra systems, has important applications in mathematical reasoning through exact deep computations. The efficiency of symbolic computation is largely constrained by such deep computations…

Symbolic Computation · Computer Science 2026-01-21 Rui-Juan Jing , Yuegang Zhao , Changbo Chen

We introduce indexing of tables referencing complex structures such as digraphs and spatial objects, appearing in genetics and other data intensive analysis. The indexing is achieved by extracting dimension schemas from the referenced…

Databases · Computer Science 2007-05-23 Agust S. Egilsson , Hakon Gudbjartsson

Classification is a well-studied machine learning task which concerns the assignment of instances to a set of outcomes. Classification models support the optimization of managerial decision-making across a variety of operational business…

Machine Learning · Computer Science 2025-05-19 Wouter Verbeke , Diego Olaya , Jeroen Berrevoets , Sam Verboven , Sebastián Maldonado

Providing diagnostic feedback about growth is crucial to formative decisions such as targeted remedial instructions or interventions. This paper proposed a longitudinal higher-order diagnostic classification modeling approach for measuring…

Methodology · Statistics 2018-09-19 Peida Zhan , Hong Jiao , Dandan Liao

Many algorithms for ranked data become computationally intractable as the number of objects grows due to the complex geometric structure induced by rankings. An additional challenge is posed by partial rankings, i.e. rankings in which the…

Machine Learning · Computer Science 2022-07-19 Michelangelo Conserva , Marc Peter Deisenroth , K S Sesh Kumar

The performance of sparse matrix computation highly depends on the matching of the matrix format with the underlying structure of the data being computed on. Different sparse matrix formats are suitable for different structures of data.…

Numerical Analysis · Mathematics 2023-09-07 Khaled Abdelaal , Richard Veras

We describe a seriation algorithm for ranking a set of items given pairwise comparisons between these items. Intuitively, the algorithm assigns similar rankings to items that compare similarly with all others. It does so by constructing a…

Machine Learning · Computer Science 2016-03-11 Fajwel Fogel , Alexandre d'Aspremont , Milan Vojnovic

Big Data concern large-volume, growing data sets that are complex and have multiple autonomous sources. Earlier technologies were not able to handle storage and processing of huge data thus Big Data concept comes into existence. This is a…

Machine Learning · Computer Science 2015-03-26 Praful Koturwar , Sheetal Girase , Debajyoti Mukhopadhyay

Modern cloud databases present scaling as a binary decision: scale-out by adding nodes or scale-up by increasing per-node resources. This one-dimensional view is limiting because database performance, cost, and coordination overhead emerge…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Shahir Abdullah , Syed Rohit Zaman

Pattern extraction algorithms are enabling insights into the ever-growing amount of today's datasets by translating reoccurring data properties into compact representations. Yet, a practical problem arises: With increasing data volumes and…

Information Retrieval · Computer Science 2018-07-05 Michael Behrisch , Robert Krueger , Fritz Lekschas , Tobias Schreck , Nils Gehlenborg , Hanspeter Pfister

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

Machine Learning · Computer Science 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

We investigate the problem of scanning and prediction ("scandiction", for short) of multidimensional data arrays. This problem arises in several aspects of image and video processing, such as predictive coding, for example, where an image…

Information Theory · Computer Science 2007-07-13 Asaf Cohen , Neri Merhav , Tsachy Weissman

Entity alignment has always had significant uses within a multitude of diverse scientific fields. In particular, the concept of matching entities across networks has grown in significance in the world of social science as communicative…

Social and Information Networks · Computer Science 2020-04-21 James Flamino , Christopher Abriola , Ben Zimmerman , Zhongheng Li , Joel Douglas

A wide range of optimization problems arising in machine learning can be solved by gradient descent algorithms, and a central question in this area is how to efficiently compress a large-scale dataset so as to reduce the computational…

Machine Learning · Computer Science 2022-10-11 Jiawei Huang , Ruomin Huang , Wenjie Liu , Nikolaos M. Freris , Hu Ding

'Big' high-dimensional data are commonly analyzed in low-dimensions, after performing a dimensionality-reduction step that inherently distorts the data structure. For the same purpose, clustering methods are also often used. These methods…

Machine Learning · Statistics 2019-02-20 Tom Lorimer , Karlis Kanders , Ruedi Stoop

In this paper we introduce a novel family of decision lists consisting of highly interpretable models which can be learned efficiently in a greedy manner. The defining property is that all rules are oriented in the same direction.…

Machine Learning · Statistics 2016-01-12 Marc Goessling , Shan Kang

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

Machine Learning · Statistics 2024-03-26 Ali Shojaie , Wenyu Chen

Deep learning models are widely used across computer vision and other domains. When working on the model induction, selecting the right architecture for a given dataset often relies on repetitive trial-and-error procedures. This procedure…

Machine Learning · Computer Science 2026-01-06 Yen-Chia Chen , Hsing-Kuo Pao , Hanjuan Huang

Deep neural networks have reached human-level performance on many computer vision tasks. However, the objectives used to train these networks enforce only that similar images are embedded at similar locations in the representation space,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Lukas Muttenthaler , Lorenz Linhardt , Jonas Dippel , Robert A. Vandermeulen , Katherine Hermann , Andrew K. Lampinen , Simon Kornblith