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High-dimensional data arise naturally in many areas of science and engineering, including machine learning, signal processing, computational physics, and statistics. Such data are often represented as tensors, multi-dimensional…

Machine Learning · Computer Science 2026-05-19 Beheshteh T. Rakhshan , Guillaume Rabusseau

The tensor network, as a facterization of tensors, aims at performing the operations that are common for normal tensors, such as addition, contraction and stacking. However, due to its non-unique network structure, only the tensor network…

Machine Learning · Computer Science 2022-05-25 Tianning Zhang , Tianqi Chen , Erping Li , Bo Yang , L. K. Ang

Constrained least squares problems arise in many applications. Their memory and computation costs are expensive in practice involving high-dimensional input data. We employ the so-called "sketching" strategy to project the least squares…

Optimization and Control · Mathematics 2021-09-07 Ke Chen , Ruhui Jin

Various modifications of decision trees have been extensively used during the past years due to their high efficiency and interpretability. Tree node splitting based on relevant feature selection is a key step of decision tree learning, at…

Machine Learning · Computer Science 2017-09-05 Dmitry Ignatov , Andrey Ignatov

Multi-Task Learning (MTL) has shown its importance at user products for fast training, data efficiency, reduced overfitting etc. MTL achieves it by sharing the network parameters and training a network for multiple tasks simultaneously.…

Machine Learning · Computer Science 2022-12-08 Brijraj Singh , Swati Gupta , Mayukh Das , Praveen Doreswamy Naidu , Sharan Kumar Allur

Neural networks have proved to be very robust at processing unstructured data like images, text, videos, and audio. However, it has been observed that their performance is not up to the mark in tabular data; hence tree-based models are…

Machine Learning · Computer Science 2022-04-25 Tushar Sarkar

This paper describes a design that can be used for Explainable AI. The lower level is a nested ensemble of patterns created by self-organisation. The upper level is a hierarchical tree, where nodes are linked through individual concepts, so…

Artificial Intelligence · Computer Science 2020-11-30 Kieran Greer

Constrained counting is a fundamental problem in artificial intelligence. A promising new algebraic approach to constrained counting makes use of tensor networks, following a reduction from constrained counting to the problem of…

Data Structures and Algorithms · Computer Science 2020-04-29 Jeffrey M. Dudek , Leonardo Dueñas-Osorio , Moshe Y. Vardi

Spectral clustering and co-clustering are well-known techniques in data analysis, and recent work has extended spectral clustering to square, symmetric tensors and hypermatrices derived from a network. We develop a new tensor spectral…

Social and Information Networks · Computer Science 2016-03-02 Tao Wu , Austin R. Benson , David F. Gleich

In order to speed-up classification models when facing a large number of categories, one usual approach consists in organizing the categories in a particular structure, this structure being then used as a way to speed-up the prediction…

Machine Learning · Computer Science 2015-11-26 Aurélia Léon , Ludovic Denoyer

In the evolving domains of Machine Learning and Data Analytics, existing dataset characterization methods such as statistical, structural, and model-based analyses often fail to deliver the deep understanding and insights essential for…

Machine Learning · Computer Science 2025-10-17 Matthew D. Merris , Tim Andersen

The ubiquitous use of IoT and machine learning applications is creating large amounts of data that require accurate and real-time processing. Although edge-based smart data processing can be enabled by deploying pretrained models, the…

Machine Learning · Computer Science 2021-09-15 Yinghan Long , Indranil Chakraborty , Gopalakrishnan Srinivasan , Kaushik Roy

Neural Networks and Decision Trees: two popular techniques for supervised learning that are seemingly disconnected in their formulation and optimization method, have recently been combined in a single construct. The connection pivots on…

Machine Learning · Statistics 2020-02-27 Giuseppe Nuti , Lluís Antoni Jiménez Rugama , Kaspar Thommen

The AI revolution is data driven. AI "data wrangling" is the process by which unusable data is transformed to support AI algorithm development (training) and deployment (inference). Significant time is devoted to translating diverse data…

Databases · Computer Science 2020-01-22 Jeremy Kepner , Vijay Gadepally , Hayden Jananthan , Lauren Milechin , Siddharth Samsi

This paper introduces \textit{measurement trees}, a novel class of metrics designed to combine various constructs into an interpretable multi-level representation of a measurand. Unlike conventional metrics that yield single values,…

Artificial Intelligence · Computer Science 2025-10-01 Craig Greenberg , Patrick Hall , Theodore Jensen , Kristen Greene , Razvan Amironesei

Tensors are higher-order extensions of matrices. While matrix methods form the cornerstone of machine learning and data analysis, tensor methods have been gaining increasing traction. However, software support for tensor operations is not…

Machine Learning · Computer Science 2018-05-10 Jean Kossaifi , Yannis Panagakis , Anima Anandkumar , Maja Pantic

We present a conceptually clear and algorithmically useful framework for parameterizing the costs of tensor network contraction. Our framework is completely general, applying to tensor networks with arbitrary bond dimensions, open legs, and…

Data Structures and Algorithms · Computer Science 2019-06-04 Bryan O'Gorman

Modern AI models are growing rapidly in size and redundancy, leading to significant storage and distribution challenges in model hubs. We present TStore, a tensor-centric system for reducing storage overhead through fine-grained…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Tingfeng Lan , Zirui Wang , Yunjia Zheng , Zhaoyuan Su , Juncheng Yang , Yue Cheng

Tree-structured neural networks encode a particular tree geometry for a sentence in the network design. However, these models have at best only slightly outperformed simpler sequence-based models. We hypothesize that neural sequence models…

Computation and Language · Computer Science 2015-11-10 Samuel R. Bowman , Christopher D. Manning , Christopher Potts

A growing trend in modern data analysis is the integration of data management with learning, guided by accuracy, latency, and cost requirements. In practice, applications draw data of different formats from many sources. In the meanwhile,…

Databases · Computer Science 2025-10-15 Meihui Zhang , Liming Wang , Chi Zhang , Zhaojing Luo