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A method is presented in which matrix elements for some processes are calculated recursively. This recursive calculational technique is based on the method of basis spinors.

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Andreev

Stratified digraphs are popular models for feedforward neural networks. However, computation of their path homologies has been limited to low dimensions due to high computational complexity. A recursive algorithm is proposed to compute…

Computational Geometry · Computer Science 2024-12-12 Zhengtong Zhu , Zhiyi Chi

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

This paper presents an unsupervised machine learning algorithm that identifies recurring patterns -- referred to as ``music-words'' -- from symbolic music data. These patterns are fundamental to musical structure and reflect the cognitive…

Recently, deep architectures, such as recurrent and recursive neural networks have been successfully applied to various natural language processing tasks. Inspired by bidirectional recurrent neural networks which use representations that…

Machine Learning · Computer Science 2013-12-03 Ozan İrsoy , Claire Cardie

Quantum convolutional coding is a technique for encoding a stream of quantum information before transmitting it over a noisy quantum channel. Two important goals in the design of quantum convolutional encoders are to minimize the memory…

Quantum Physics · Physics 2013-01-21 Monireh Houshmand , Saied Hosseini-Khayat , Mark M. Wilde

We study the problem of computer-assisted teaching with explanations. Conventional approaches for machine teaching typically only provide feedback at the instance level e.g., the category or label of the instance. However, it is intuitive…

Computer Vision and Pattern Recognition · Computer Science 2018-02-21 Oisin Mac Aodha , Shihan Su , Yuxin Chen , Pietro Perona , Yisong Yue

Automated reasoning and theorem proving have recently become major challenges for machine learning. In other domains, representations that are able to abstract over unimportant transformations, such as abstraction over translations and…

Artificial Intelligence · Computer Science 2021-12-03 Miroslav Olšák , Cezary Kaliszyk , Josef Urban

We explore a method of encoding secret messages using factoradic numbering of permuted lists of text or numeric elements. Encoding and decoding methods are provided, with code, and key aspects of the correctness of the methods are formally…

Cryptography and Security · Computer Science 2021-04-09 George D. Montanez

An algorithm of improving the performance of iterative decoding on perpendicular magnetic recording is presented. This algorithm follows on the authors' previous works on the parallel and serial concatenated turbo codes and low-density…

Information Theory · Computer Science 2007-07-13 E. Papagiannis , C. Tjhai , M. Ahmed , M. Ambroze , M. Tomlinson

Ancient scripts, e.g., Egyptian hieroglyphs, Oracle Bone Inscriptions, and Ancient Greek inscriptions, serve as vital carriers of human civilization, embedding invaluable historical and cultural information. Automating ancient script image…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Xiaolei Diao , Rite Bo , Yanling Xiao , Lida Shi , Zhihan Zhou , Hao Xu , Chuntao Li , Xiongfeng Tang , Massimo Poesio , Cédric M. John , Daqian Shi

Charts are very popular for analyzing data, visualizing key insights and answering complex reasoning questions about data. To facilitate chart-based data analysis using natural language, several downstream tasks have been introduced…

Computation and Language · Computer Science 2023-10-12 Ahmed Masry , Parsa Kavehzadeh , Xuan Long Do , Enamul Hoque , Shafiq Joty

Recurrent Neural Networks (RNN) have recently achieved the best performance in off-line Handwriting Text Recognition. At the same time, learning RNN by gradient descent leads to slow convergence, and training times are particularly long…

Machine Learning · Computer Science 2013-12-09 Jérôme Louradour , Christopher Kermorvant

Classical supervised classification tasks search for a nonlinear mapping that maps each encoded feature directly to a probability mass over the labels. Such a learning framework typically lacks the intuition that encoded features from the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-11 Cat P. Le , Yi Zhou , Jie Ding , Vahid Tarokh

This paper presents a convenient graphical tool for encoding visual patterns (such as image patches and image atoms) as point constellations in a space spanned by perceptual features and with a clear geometrical interpretation. General…

Computer Vision and Pattern Recognition · Computer Science 2014-10-02 Aleksandra Pizurica

The problem of phase retrieval is a classic one in optics and arises when one is interested in recovering an unknown signal from the magnitude (intensity) of its Fourier transform. While there have existed quite a few approaches to phase…

Information Theory · Computer Science 2015-10-28 Kishore Jaganathan , Yonina C. Eldar , Babak Hassibi

Natural reading orders of words are crucial for information extraction from form-like documents. Despite recent advances in Graph Convolutional Networks (GCNs) on modeling spatial layout patterns of documents, they have limited ability to…

Computation and Language · Computer Science 2021-06-22 Chen-Yu Lee , Chun-Liang Li , Chu Wang , Renshen Wang , Yasuhisa Fujii , Siyang Qin , Ashok Popat , Tomas Pfister

Learnable keypoint detectors and descriptors are beginning to outperform classical hand-crafted feature extraction methods. Recent studies on self-supervised learning of visual representations have driven the increasing performance of…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Henrique Siqueira , Patrick Ruhkamp , Ibrahim Halfaoui , Markus Karmann , Onay Urfalioglu

In this paper, we employ the linear systems representation of a convolutional code to develop a decoding algorithm for convolutional codes over the erasure channel. We study the decoding problem using the state space description and this…

Information Theory · Computer Science 2020-08-21 Julia Lieb , Joachim Rosenthal

One of the challenges of the Optical Music Recognition task is to transcript the symbols of the camera-captured images into digital music notations. Previous end-to-end model which was developed as a Convolutional Recurrent Neural Network…

Computer Vision and Pattern Recognition · Computer Science 2021-08-05 Aozhi Liu , Lipei Zhang , Yaqi Mei , Baoqiang Han , Zifeng Cai , Zhaohua Zhu , Jing Xiao
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