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Mathematical notation makes up a large portion of STEM literature, yet finding semantic representations for formulae remains a challenging problem. Because mathematical notation is precise, and its meaning changes significantly with small…

Computation and Language · Computer Science 2023-09-06 Neeraj Gangwar , Nickvash Kani

This is Part II of the two-part comprehensive survey devoted to a computing framework most commonly known under the names Hyperdimensional Computing and Vector Symbolic Architectures (HDC/VSA). Both names refer to a family of computational…

Artificial Intelligence · Computer Science 2023-08-02 Denis Kleyko , Dmitri A. Rachkovskij , Evgeny Osipov , Abbas Rahimi

In this paper, we introduce methods of encoding propositional logic programs in vector spaces. Interpretations are represented by vectors and programs are represented by matrices. The least model of a definite program is computed by…

Artificial Intelligence · Computer Science 2018-11-29 Chiaki Sakama , Hien D. Nguyen , Taisuke Sato , Katsumi Inoue

Modeling semantic information is helpful for scene text recognition. In this work, we propose to model semantic and visual information jointly with a Visual-Semantic Transformer (VST). The VST first explicitly extracts primary semantic…

Computer Vision and Pattern Recognition · Computer Science 2021-12-03 Xin Tang , Yongquan Lai , Ying Liu , Yuanyuan Fu , Rui Fang

We propose an approach based on function evaluations and Bayesian inference to extract higher-order differential information of objective functions {from a given ensemble of particles}. Pointwise evaluation $\{V(x^i)\}_i$ of some potential…

Machine Learning · Statistics 2023-03-02 Claudia Schillings , Claudia Totzeck , Philipp Wacker

Large-scale LiDAR-based point cloud semantic segmentation is a critical task in autonomous driving perception. Almost all of the previous state-of-the-art LiDAR semantic segmentation methods are variants of sparse 3D convolution. Although…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Chuanyu Luo , Nuo Cheng , Sikun Ma , Han Li , Xiaohan Li , Shengguang Lei , Pu Li

In this paper we present a short overview of the new Wolfram Mathematica package intended for elementary "in-basis" tensor and differential-geometric calculations. In contrast to alternatives our package is designed to be easy-to-use,…

Nuclear Theory · Physics 2021-11-15 D. O. Rybalka

Vector Symbolic Architecture (VSA) is emerging in machine learning due to its efficiency, but they are hindered by issues of hyperdimensionality and accuracy. As a promising mitigation, the Low-Dimensional Computing (LDC) method…

Machine Learning · Computer Science 2025-03-18 Shijin Duan , Yejia Liu , Gaowen Liu , Ramana Rao Kompella , Shaolei Ren , Xiaolin Xu

Vector algebra is a powerful and needful tool for Physics but unfortunately, due to lack of mathematical skills, it becomes misleading for first undergraduate courses of science and engineering studies. Standard vector identities are…

General Physics · Physics 2009-04-14 Miguel Angel Rodriguez-Valverde , Maria Tirado-Miranda

Vectors of data are at the heart of machine learning and data mining. Recently, vector quantization methods have shown great promise in reducing both the time and space costs of operating on vectors. We introduce a vector quantization…

Performance · Computer Science 2017-07-03 Davis W Blalock , John V Guttag

We present VISTA (Visualization of Internal States and Their Associations), a novel pipeline for visually exploring and interpreting neural network representations. VISTA addresses the challenge of analyzing vast multidimensional spaces in…

Machine Learning · Computer Science 2024-12-04 Tom White

This two-part comprehensive survey is devoted to a computing framework most commonly known under the names Hyperdimensional Computing and Vector Symbolic Architectures (HDC/VSA). Both names refer to a family of computational models that use…

Artificial Intelligence · Computer Science 2023-08-02 Denis Kleyko , Dmitri A. Rachkovskij , Evgeny Osipov , Abbas Rahimi

The BERTScore metric is commonly used to evaluate automatic text simplification systems. However, current implementations of the metric fail to provide complete visibility into all information the metric can produce. Notably, the specific…

Computation and Language · Computer Science 2024-09-27 Sebastian Jaskowski , Sahasra Chava , Agam Shah

ViDaExpert is a tool for visualization and analysis of multidimensional vectorial data. ViDaExpert is able to work with data tables of "object-feature" type that might contain numerical feature values as well as textual labels for rows…

Mathematical Software · Computer Science 2014-07-03 Alexander N. Gorban , Alexander Pitenko , Andrei Zinovyev

In this paper we present a new method, which allows for the construction of triangular isosurfaces from three-dimensional data sets, such as 3D image data and/or numerical simulation data that are based on regularly shaped, cubic lattices.…

Computational Geometry · Computer Science 2012-06-11 B. R. Schlei

Most of the parameters in large vocabulary models are used in embedding layer to map categorical features to vectors and in softmax layer for classification weights. This is a bottle-neck in memory constraint on-device training applications…

Machine Learning · Computer Science 2018-11-21 Ehsan Variani , Ananda Theertha Suresh , Mitchel Weintraub

The advances in multi-modal foundation models (FMs) (e.g., CLIP and LLaVA) have facilitated the auto-labeling of large-scale datasets, enhancing model performance in challenging downstream tasks such as open-vocabulary object detection and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Xiwei Xuan , Xiaoqi Wang , Wenbin He , Jorge Piazentin Ono , Liang Gou , Kwan-Liu Ma , Liu Ren

In this work, a recently developed fracture modeling method called localizing gradient damage method (LGDM) is implemented in MATLAB. MATLAB is well-known in the computational research community for its simple and easy-to-learn coding…

Numerical Analysis · Mathematics 2023-01-18 Subrato Sarkar

Table structure recognition aims to extract the logical and physical structure of unstructured table images into a machine-readable format. The latest end-to-end image-to-text approaches simultaneously predict the two structures by two…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Yongshuai Huang , Ning Lu , Dapeng Chen , Yibo Li , Zecheng Xie , Shenggao Zhu , Liangcai Gao , Wei Peng

In this paper we promote the use of Support Vector Machines (SVM) as a machine learning tool for searches in high-energy physics. As an example for a new- physics search we discuss the popular case of Supersymmetry at the Large Hadron…

High Energy Physics - Experiment · Physics 2022-11-16 Mehmet Özgür Sahin , Dirk Krücker , Isabell-Alissandra Melzer-Pellmann