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We introduce DISTAL, a compiler for dense tensor algebra that targets modern distributed and heterogeneous systems. DISTAL lets users independently describe how tensors and computation map onto target machines through separate format and…

Programming Languages · Computer Science 2022-03-18 Rohan Yadav , Alex Aiken , Fredrik Kjolstad

Tabular datasets are widely used in scientific disciplines such as biology. While these disciplines have already adopted AI methods to enhance their findings and analysis, they mainly use tree-based methods due to their interpretability. At…

Machine Learning · Computer Science 2025-04-16 Salvatore Raieli , Nathalie Jeanray , Stéphane Gerart , Sebastien Vachenc , Abdulrahman Altahhan

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

Kjolstad et. al. proposed a tensor algebra compiler. It takes expressions that define a tensor element-wise, such as $f_{ij}(a,b,c,d) = \exp\left[-\sum_{k=0}^4 \left((a_{ik}+b_{jk})^2\, c_{ii} + d_{i+k}^3 \right) \right]$, and generates the…

Symbolic Computation · Computer Science 2017-11-07 Sebastian Urban , Patrick van der Smagt

We provide a new online learning algorithm which utilizes online passive-aggressive learning (PA) and total-error-rate minimization (TER) for binary classification. The PA learning establishes not only large margin training but also the…

Machine Learning · Statistics 2020-02-06 Se-In Jang

This tutorial overviews the state of the art in learning models over relational databases and makes the case for a first-principles approach that exploits recent developments in database research. The input to learning classification and…

Databases · Computer Science 2019-11-18 Maximilian Schleich , Dan Olteanu , Mahmoud Abo-Khamis , Hung Q. Ngo , XuanLong Nguyen

Linear algebraic expressions are the essence of many computationally intensive problems, including scientific simulations and machine learning applications. However, translating high-level formulations of these expressions to efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-22 Dániel Berényi , András Leitereg , Gábor Lehel

Matrix-multiply-accumulate (MMA) units, or tensor cores, are now widespread across modern computing architectures. Yet, their use for particle-grid operators remains limited. In implicit particle methods, mass-matrix assembly is a…

Computational Engineering, Finance, and Science · Computer Science 2026-04-22 Luca Pennati , Stefano Markidis

Abstract Meaning Representation parsing is a sentence-to-graph prediction task where target nodes are not explicitly aligned to sentence tokens. However, since graph nodes are semantically based on one or more sentence tokens, implicit…

Computation and Language · Computer Science 2021-05-19 Jiawei Zhou , Tahira Naseem , Ramón Fernandez Astudillo , Radu Florian

Reasoning requires going beyond pattern matching or memorization of solutions to identify and implement "algorithmic procedures" that can be used to deduce answers to hard problems. Doing so requires realizing the most relevant primitives,…

Artificial Intelligence · Computer Science 2025-10-03 Yuxiao Qu , Anikait Singh , Yoonho Lee , Amrith Setlur , Ruslan Salakhutdinov , Chelsea Finn , Aviral Kumar

A tensor is a multidimensional array of numbers that can be used to store data, encode a computational relation and represent quantum entanglement. In this sense a tensor can be viewed as valuable resource whose transformation can lead to…

Quantum Physics · Physics 2024-09-18 Matthias Christandl

Modelling compositionality has been a longstanding area of research in the field of vector space semantics. The categorical approach to compositionality maps grammar onto vector spaces in a principled way, but comes under fire for requiring…

Computation and Language · Computer Science 2019-01-31 Martha Lewis

Deep learning models with convolutional and recurrent networks are now ubiquitous and analyze massive amounts of audio, image, video, text and graph data, with applications in automatic translation, speech-to-text, scene understanding,…

We describe an abstract loop-based intermediate representation that can express fused implementations of relational algebra expressions on sets and bags (multisets). The loops are abstracted away from physical data structures thus making it…

Programming Languages · Computer Science 2025-02-12 James Dong , Fredrik Kjolstad

In this study, we present a tensor--train framework for nonintrusive operator inference aimed at learning discrete operators and using them to predict solutions of physical governing equations. Our framework comprises three approaches:…

Numerical Analysis · Mathematics 2025-09-11 Engin Danis , Duc Truong , Kim Ø. Rasmussen§ , Boian S. Alexandrov

Universal Multimodal Retrieval requires unified embedding models capable of interpreting diverse user intents, ranging from simple keywords to complex compositional instructions. While Multimodal Large Language Models (MLLMs) possess strong…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Xiangzhao Hao , Shijie Wang , Tianyu Yang , Tianyue Wang , Haiyun Guo , Jinqiao Wang

Relation extraction (RE) is an indispensable information extraction task in several disciplines. RE models typically assume that named entity recognition (NER) is already performed in a previous step by another independent model. Several…

Computation and Language · Computer Science 2019-08-29 Tung Tran , Ramakanth Kavuluru

The exponential growth of artificial intelligence (AI) and machine learning (ML) applications has necessitated the development of efficient storage solutions for vector and tensor data. This paper presents a novel approach for tensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Zhiwei Bao , Liu Liao-Liao , Zhiyu Wu , Yifan Zhou , Dan Fan , Michal Aibin , Yvonne Coady , Andrew Brownsword

The Recurrent Neural Networks and their variants have shown promising performances in sequence modeling tasks such as Natural Language Processing. These models, however, turn out to be impractical and difficult to train when exposed to very…

Computer Vision and Pattern Recognition · Computer Science 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

Regression analysis is a key area of interest in the field of data analysis and machine learning which is devoted to exploring the dependencies between variables, often using vectors. The emergence of high dimensional data in technologies…

Machine Learning · Statistics 2023-08-23 Jiani Liu , Ce Zhu , Zhen Long , Yipeng Liu