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High-order clustering aims to classify objects in multiway datasets that are prevalent in various fields such as bioinformatics, recommendation systems, and social network analysis. Such data are often sparse and high-dimensional, posing…

Statistics Theory · Mathematics 2025-12-05 Ian Välimaa , Lasse Leskelä

Learning dictionaries suitable for sparse coding instead of using engineered bases has proven effective in a variety of image processing tasks. This paper studies the optimization of dictionaries on image data where the representation is…

Machine Learning · Computer Science 2016-04-19 Markus Thom , Matthias Rapp , Günther Palm

In this paper, we propose a novel tensor learning and coding model for third-order data completion. Our model is to learn a data-adaptive dictionary from the given observations, and determine the coding coefficients of third-order tensor…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Tai-Xiang Jiang , Xi-Le Zhao , Hao Zhang , Michael K. Ng

The occurrence of unknown words in texts significantly hinders reading comprehension. To improve accessibility for specific target populations, computational modelling has been applied to identify complex words in texts and substitute them…

Computation and Language · Computer Science 2023-03-10 Kai North , Marcos Zampieri , Matthew Shardlow

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical…

Machine Learning · Computer Science 2015-08-25 Rémi Gribonval , Rodolphe Jenatton , Francis Bach

Sparse manifold learning algorithms combine techniques in manifold learning and sparse optimization to learn features that could be utilized for downstream tasks. The standard setting of compressive sensing can not be immediately applied to…

Signal Processing · Electrical Eng. & Systems 2024-08-05 Abiy Tasissa , Pranay Tankala , Demba Ba

Distributional models that learn rich semantic word representations are a success story of recent NLP research. However, developing models that learn useful representations of phrases and sentences has proved far harder. We propose using…

Computation and Language · Computer Science 2016-03-23 Felix Hill , Kyunghyun Cho , Anna Korhonen , Yoshua Bengio

Mixed dictionaries generated by cosine and B-spline functions are considered. It is shown that, by highly nonlinear approaches such as Orthogonal Matching Pursuit, the discrete version of the proposed dictionaries yields a significant gain…

Numerical Analysis · Mathematics 2009-09-08 James Bowley , Laura Rebollo-Neira

The paper discusses the limitations of deep learning models in identifying and utilizing features that remain invariant under a bijective transformation on the data entries, which we refer to as combinatorial patterns. We argue that the…

Machine Learning · Computer Science 2023-03-30 Karen Sargsyan

Distributional text clustering delivers semantically informative representations and captures the relevance between each word and semantic clustering centroids. We extend the neural text clustering approach to text classification tasks by…

Computation and Language · Computer Science 2020-11-25 Yekun Chai , Haidong Zhang , Shuo Jin

We present a new approach to learning semantic parsers from multiple datasets, even when the target semantic formalisms are drastically different, and the underlying corpora do not overlap. We handle such "disjoint" data by treating…

Computation and Language · Computer Science 2018-04-18 Hao Peng , Sam Thomson , Swabha Swayamdipta , Noah A. Smith

In recent years, a class of dictionaries have been proposed for multidimensional (tensor) data representation that exploit the structure of tensor data by imposing a Kronecker structure on the dictionary underlying the data. In this work, a…

Machine Learning · Statistics 2017-11-15 Mohsen Ghassemi , Zahra Shakeri , Anand D. Sarwate , Waheed U. Bajwa

Tensor methods have emerged as a powerful paradigm for consistent learning of many latent variable models such as topic models, independent component analysis and dictionary learning. Model parameters are estimated via CP decomposition of…

Machine Learning · Computer Science 2015-06-22 Furong Huang , Animashree Anandkumar

Recent work in signal processing and statistics have focused on defining new regularization functions, which not only induce sparsity of the solution, but also take into account the structure of the problem. We present in this paper a class…

Machine Learning · Computer Science 2011-10-21 Julien Mairal , Rodolphe Jenatton , Guillaume Obozinski , Francis Bach

We propose a compressed sampling and dictionary learning framework for fiber-optic sensing using wavelength-tunable lasers. A redundant dictionary is generated from a model for the reflected sensor signal. Imperfect prior knowledge is…

Methodology · Statistics 2017-06-13 Christian Weiss , Abdelhak M. Zoubir

State-of-the-art approaches for clustering high-dimensional data utilize deep auto-encoder architectures. Many of these networks require a large number of parameters and suffer from a lack of interpretability, due to the black-box nature of…

Machine Learning · Computer Science 2022-02-28 Alexander Lin , Andrew H. Song , Demba Ba

The ability of having a sparse representation for a certain class of signals has many applications in data analysis, image processing, and other research fields. Among sparse representations, the cosparse analysis model has recently gained…

Machine Learning · Computer Science 2014-06-09 Matthias Seibert , Julian Wörmann , Rémi Gribonval , Martin Kleinsteuber

Performing machine learning on structured data is complicated by the fact that such data does not have vectorial form. Therefore, multiple approaches have emerged to construct vectorial representations of structured data, from kernel and…

Machine Learning · Computer Science 2019-05-16 Benjamin Paaßen , Claudio Gallicchio , Alessio Micheli , Alessandro Sperduti

Modern NLP models rely heavily on engineered features, which often combine word and contextual information into complex lexical features. Such combination results in large numbers of features, which can lead to over-fitting. We present a…

Computation and Language · Computer Science 2016-04-05 Mo Yu , Mark Dredze , Raman Arora , Matthew Gormley

We describe a method for automatic word sense disambiguation using a text corpus and a machine-readable dictionary (MRD). The method is based on word similarity and context similarity measures. Words are considered similar if they appear in…

cmp-lg · Computer Science 2008-02-03 Yael Karov , Shimon Edelman