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Pattern mining is well established in data mining research, especially for mining binary datasets. Surprisingly, there is much less work about numerical pattern mining and this research area remains under-explored. In this paper, we propose…

Databases · Computer Science 2020-12-01 Tatiana Makhalova , Sergei O. Kuznetsov , Amedeo Napoli

We propose a fast sequential algorithm for the fundamental problem of estimating frequencies and amplitudes of a noisy mixture of sinusoids. The algorithm is a natural generalization of Orthogonal Matching Pursuit (OMP) to the continuum…

Information Theory · Computer Science 2016-08-24 Babak Mamandipoor , Dinesh Ramasamy , Upamanyu Madhow

This paper seeks to bridge the two major algorithmic approaches to sparse signal recovery from an incomplete set of linear measurements -- L_1-minimization methods and iterative methods (Matching Pursuits). We find a simple regularized…

Numerical Analysis · Mathematics 2008-03-15 Deanna Needell , Roman Vershynin

Mining frequent tree patterns has many applications in different areas such as XML data, bioinformatics and World Wide Web. The crucial step in frequent pattern mining is frequency counting, which involves a matching operator to find…

Databases · Computer Science 2015-09-30 Mostafa Haghir Chehreghani , Maurice Bruynooghe

Mining useful patterns from varied types of databases is an important research topic, which has many real-life applications. Most studies have considered the frequency as sole interestingness measure for identifying high quality patterns.…

Databases · Computer Science 2021-04-01 Wensheng Gan , Jerry Chun-Wei Lin , Philippe Fournier-Viger , Han-Chieh Chao , Philip S. Yu

The use of patterns in predictive models is a topic that has received a lot of attention in recent years. Pattern mining can help to obtain models for structured domains, such as graphs and sequences, and has been proposed as a means to…

Artificial Intelligence · Computer Science 2011-11-29 Björn Bringmann , Siegfried Nijssen , Albrecht Zimmermann

Many organisations manage service quality and monitor a large set devices and servers where each entity is associated with telemetry or physical sensor data series. Recently, various methods have been proposed to detect behavioural…

Social and Information Networks · Computer Science 2023-05-10 Len Feremans , Boris Cule , Bart Goethals

We propose an online algorithm for tracking a multidimensional time-varying parameter of a time series, which is also allowed to be a predictable process with respect to the underlying time series. The algorithm is driven by a gain…

Statistics Theory · Mathematics 2013-11-15 Eduard Belitser , Paulo Serra

We study algorithms for approximating pairwise similarity matrices that arise in natural language processing. Generally, computing a similarity matrix for $n$ data points requires $\Omega(n^2)$ similarity computations. This quadratic…

Machine Learning · Computer Science 2022-04-28 Archan Ray , Nicholas Monath , Andrew McCallum , Cameron Musco

Generative Flow Networks (GFlowNets) have been introduced as a method to sample a diverse set of candidates with probabilities proportional to a given reward. However, GFlowNets can only be used with a predefined scalar reward, which can be…

Machine Learning · Computer Science 2024-02-27 Yihang Chen , Lukas Mauch

Frequent pattern (itemset) mining in transactional databases is one of the most well-studied problems in data mining. One obstacle that limits the practical usage of frequent pattern mining is the extremely large number of patterns…

Databases · Computer Science 2007-05-23 Zengyou He

Approximate graph pattern mining (A-GPM) is an important data analysis tool for many graph-based applications. There exist sampling-based A-GPM systems to provide automation and generalization over a wide variety of use cases. However,…

Performance · Computer Science 2024-05-07 Anna Arpaci-Dusseau , Zixiang Zhou , Xuhao Chen

We provide a simple method and relevant theoretical analysis for efficiently estimating higher-order lp distances. While the analysis mainly focuses on l4, our methodology extends naturally to p = 6,8,10..., (i.e., when p is even).…

Machine Learning · Computer Science 2012-03-19 Ping Li , Michael W. Mahoney , Yiyuan She

Metric based comparison operations such as finding maximum, nearest and farthest neighbor are fundamental to studying various clustering techniques such as $k$-center clustering and agglomerative hierarchical clustering. These techniques…

Data Structures and Algorithms · Computer Science 2021-05-13 Raghavendra Addanki , Sainyam Galhotra , Barna Saha

Order dependencies (ODs) capture relationships between ordered domains of attributes. Approximate ODs (AODs) capture such relationships even when there exist exceptions in the data. During automated discovery of ODs, validation is the…

Databases · Computer Science 2021-01-07 Reza Karegar , Parke Godfrey , Lukasz Golab , Mehdi Kargar , Divesh Srivastava , Jaroslaw Szlichta

Orthogonal matching pursuit (OMP) is a widely used greedy algorithm for sparse signal recovery in compressed sensing (CS). Prior work on OMP, however, has only provided reconstruction guarantees under the assumption that the columns of the…

Signal Processing · Electrical Eng. & Systems 2023-03-03 Hamed Masoumi , Michel Verhaegen , Nitin Jonathan Myers

Retrieving the most similar objects in a large-scale database for a given query is a fundamental building block in many application domains, ranging from web searches, visual, cross media, and document retrievals. State-of-the-art…

Machine Learning · Computer Science 2018-03-15 Muge Li , Liangyue Li , Feiping Nie

Subsequence-based time series classification algorithms provide accurate and interpretable models, but training these models is extremely computation intensive. The asymptotic time complexity of subsequence-based algorithms remains a…

Machine Learning · Computer Science 2021-02-18 Atif Raza , Stefan Kramer

Pattern similarity-based methods are widely used in classification and regression problems. Repeated, similar-shaped cycles observed in seasonal time series encourage to apply these methods for forecasting. In this paper we use the pattern…

Machine Learning · Computer Science 2020-04-29 Grzegorz Dudek , Paweł Pełka

Given an indeterminate string pattern $p$ and an indeterminate string text $t$, the problem of order-preserving pattern matching with character uncertainties ($\mu$OPPM) is to find all substrings of $t$ that satisfy one of the possible…

Data Structures and Algorithms · Computer Science 2019-05-08 Diogo Costa , Luís M. S. Russo , Rui Henriques , Hideo Bannai , Alexandre P. Francisco
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