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Dimensionality reduction is an effective method for learning high-dimensional data, which can provide better understanding of decision boundaries in human-readable low-dimensional subspace. Linear methods, such as principal component…

Machine Learning · Computer Science 2020-07-09 Koji Maruhashi , Heewon Park , Rui Yamaguchi , Satoru Miyano

When designing new materials, it is often necessary to tailor the material design (with respect to its design parameters) to have some desired properties (e.g. Young's modulus). As the set of design parameters grow, the search space grows…

Machine Learning · Computer Science 2026-02-12 Shaan Pakala , Aldair E. Gongora , Brian Giera , Evangelos E. Papalexakis

Tensor decomposition methods are popular tools for learning latent variables given only lower-order moments of the data. However, the standard assumption is that we have sufficient data to estimate these moments to high accuracy. In this…

Machine Learning · Statistics 2019-03-13 Omer Gottesman , Weiwei Pan , Finale Doshi-Velez

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

Machine Learning · Computer Science 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

Leveraging on the underlying low-dimensional structure of data, low-rank and sparse modeling approaches have achieved great success in a wide range of applications. However, in many applications the data can display structures beyond simply…

Machine Learning · Computer Science 2019-12-04 Zhao Kang , Xiao Lu , Yiwei Lu , Chong Peng , Zenglin Xu

Most machine learning models for structured data encode the structural knowledge of a node by leveraging simple aggregation functions (in neural models, typically a weighted sum) of the information in the node's neighbourhood. Nevertheless,…

Machine Learning · Computer Science 2020-06-18 Daniele Castellana , Davide Bacciu

Tensors or {\em multi-way arrays} are functions of three or more indices $(i,j,k,\cdots)$ -- similar to matrices (two-way arrays), which are functions of two indices $(r,c)$ for (row,column). Tensors have a rich history, stretching over…

Tensor decomposition is a mathematically supported technique for data compression. It consists of applying some kind of a Low Rank Decomposition technique on the tensors or matrices in order to reduce the redundancy of the data. However, it…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Austin Wen , Yang Liu

The analysis of multidimensional data is becoming a more and more relevant topic in statistical and machine learning research. Given their complexity, such data objects are usually reshaped into matrices or vectors and then analysed.…

Machine Learning · Statistics 2021-04-09 Giuseppe Brandi , T. Di Matteo

Massive data collection holds the promise of a better understanding of complex phenomena and, ultimately, better decisions. Representation learning has become a key driver of deep learning applications, as it allows learning latent spaces…

Machine Learning · Computer Science 2025-11-10 Caroline Uhler , Jiaqi Zhang

In this work, we describe the first modular, and programmable platform capable of transmitting a text message using chemical signalling -- a method also known as molecular communication. This form of communication is attractive for…

Emerging Technologies · Computer Science 2014-03-05 Nariman Farsad , Weisi Guo , Andrew W. Eckford

Communication structure plays a key role in the learning capability of decentralized systems. Structural self-adaptation, by means of self-organization, changes the order as well as the input information of the agents' collective…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-24 Jovan Nikolic , Evangelos Pournaras

We propose a modular framework for multi-relational learning via tensor decomposition. In our learning setting, the training data contains multiple types of relationships among a set of objects, which we represent by a sparse three-mode…

Machine Learning · Computer Science 2013-06-04 Ben London , Theodoros Rekatsinas , Bert Huang , Lise Getoor

Tensor algebra is a crucial component for data-intensive workloads such as machine learning and scientific computing. As the complexity of data grows, scientists often encounter a dilemma between the highly specialized dense tensor algebra…

Programming Languages · Computer Science 2024-07-19 Mahdi Ghorbani , Emilien Bauer , Tobias Grosser , Amir Shaikhha

Representation learning is a widely adopted framework for learning in data-scarce environments, aiming to extract common features from related tasks. While centralized approaches have been extensively studied, decentralized methods remain…

Machine Learning · Computer Science 2025-12-30 Donghwa Kang , Shana Moothedath

The structural information in high-dimensional transposable data allows us to write the data recorded for each subject in a matrix such that both the rows and the columns correspond to variables of interest. One important problem is to test…

Methodology · Statistics 2015-06-18 Anestis Touloumis , Simon Tavaré , John C. Marioni

Structural health monitoring is a condition-based field of study utilised to monitor infrastructure, via sensing systems. It is therefore used in the field of aerospace engineering to assist in monitoring the health of aerospace structures.…

Machine Learning · Computer Science 2018-12-13 Prasad Cheema , Nguyen Lu Dang Khoa , Moray Kidd , Gareth A. Vio

We propose a new dataset TexRel as a playground for the study of emergent communications, in particular for relations. By comparison with other relations datasets, TexRel provides rapid training and experimentation, whilst being…

Computation and Language · Computer Science 2021-05-28 Hugh Perkins

The advancement of sensing technology has driven the widespread application of high-dimensional data. However, issues such as missing entries during acquisition and transmission negatively impact the accuracy of subsequent tasks. Tensor…

Image and Video Processing · Electrical Eng. & Systems 2025-04-09 Jie Yang , Chang Su , Yuhan Zhang , Jianjun Zhu , Jianli Wang

High-content perturbation experiments allow scientists to probe biomolecular systems at unprecedented resolution, but experimental and analysis costs pose significant barriers to widespread adoption. Machine learning has the potential to…

Artificial Intelligence · Computer Science 2025-03-03 Menghua Wu , Russell Littman , Jacob Levine , Lin Qiu , Tommaso Biancalani , David Richmond , Jan-Christian Huetter