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In this paper, we prove a semistable reduction type theorem for multi-filtered vector spaces (or known as multi-weighted vector spaces).

Algebraic Geometry · Mathematics 2017-09-27 Shizhang Li

Transformer, an attention-based encoder-decoder architecture, has not only revolutionized the field of natural language processing (NLP), but has also done some pioneering work in the field of computer vision (CV). Compared to convolutional…

Computer Vision and Pattern Recognition · Computer Science 2022-05-25 Zujun Fu

Light transport in graded index media follows a curved trajectory determined by the Fermat's principle. Besides the effect of variation of the refractive index on the transport of radiative intensity, the curved ray trajectory will induce…

Classical Physics · Physics 2015-05-30 J. M. Zhao , J. Y. Tan , L. H. Liu

Knowledge bases of real-world facts about entities and their relationships are useful resources for a variety of natural language processing tasks. However, because knowledge bases are typically incomplete, it is useful to be able to…

Computation and Language · Computer Science 2017-03-09 Dat Quoc Nguyen , Kairit Sirts , Lizhen Qu , Mark Johnson

In this paper, we analyze the effectiveness of transfer learning on classifying electronic components. Transfer learning reuses pre-trained models to save time and resources in building a robust classifier rather than learning from scratch.…

Computer Vision and Pattern Recognition · Computer Science 2024-04-08 Anas Mohammad Ishfaqul Muktadir Osmani , Taimur Rahman , Salekul Islam

We derive a reciprocity relation for vector radiative transport equation (vRTE) that describes propagation of polarized light in multiple-scattering media. We then show how this result, together with translational invariance of a…

Transformer recently has presented encouraging progress in computer vision. In this work, we present new baselines by improving the original Pyramid Vision Transformer (PVT v1) by adding three designs, including (1) linear complexity…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Wenhai Wang , Enze Xie , Xiang Li , Deng-Ping Fan , Kaitao Song , Ding Liang , Tong Lu , Ping Luo , Ling Shao

Port-based teleportation (PBT), introduced in 2008, is a type of quantum teleportation protocol which transmits the state to the receiver without requiring any corrections on the receiver's side. Evaluating the performance of PBT was…

Quantum Physics · Physics 2017-09-26 Michał Studziński , Sergii Strelchuk , Marek Mozrzymas , Michał Horodecki

Transformer models are powerful sequence-to-sequence architectures that are capable of directly mapping speech inputs to transcriptions or translations. However, the mechanism for modeling positions in this model was tailored for text…

Audio and Speech Processing · Electrical Eng. & Systems 2020-05-21 Ngoc-Quan Pham , Thanh-Le Ha , Tuan-Nam Nguyen , Thai-Son Nguyen , Elizabeth Salesky , Sebastian Stueker , Jan Niehues , Alexander Waibel

Inspired by the performance and scalability of autoregressive large language models (LLMs), transformer-based models have seen recent success in the visual domain. This study investigates a transformer adaptation for video prediction with a…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Dean L Slack , G Thomas Hudson , Thomas Winterbottom , Noura Al Moubayed

Velocity errors in particle tracking velocimetry (PTV) are studied. When using high-speed video cameras, the velocity error may increase at a high camera frame rate. This increase in velocity error is due to particle-position uncertainty,…

Plasma Physics · Physics 2015-05-27 Yan Feng , J. Goree , Bin Liu

A distribution shift can have fundamental consequences such as signaling a change in the operating environment or significantly reducing the accuracy of downstream models. Thus, understanding distribution shifts is critical for examining…

Machine Learning · Computer Science 2023-06-21 Sean Kulinski , David I. Inouye

In this work, we propose to model the interaction between visual and textual features for multi-modal neural machine translation (MMT) through a latent variable model. This latent variable can be seen as a multi-modal stochastic embedding…

Computation and Language · Computer Science 2019-05-17 Iacer Calixto , Miguel Rios , Wilker Aziz

Maneuvering a spacecraft in the cislunar space is a complex problem, since it is highly perturbed by the gravitational influence of both the Earth and the Moon, and possibly also the Sun. Trajectories minimizing the needed fuel are…

Instrumentation and Methods for Astrophysics · Physics 2024-04-01 A. K. de Almeida , T. Vaillant , V. M. de Oliveira , D. Barbosa , D. Maia , S. Aljbaae , B. Coelho , M. Bergano , J. Pandeirada , A. F. B. A. Prado , A. Guerman , A. C. M. Correia

Inspired by Gromov's partial differential relations, we introduce a notion of differential transmutation, which allows to transfer some local properties of solutions of a PDE to solutions of another PDE, in particular local solvability,…

Analysis of PDEs · Mathematics 2024-01-09 Franck Sueur

Context-aware translation can be achieved by processing a concatenation of consecutive sentences with the standard Transformer architecture. This paper investigates the intuitive idea of providing the model with explicit information about…

Computation and Language · Computer Science 2023-04-06 Lorenzo Lupo , Marco Dinarelli , Laurent Besacier

In this work, the problem of communicating decisions of a classifier over a noisy channel is considered. With machine learning based models being used in variety of time-sensitive applications, transmission of these decisions in a reliable…

Information Theory · Computer Science 2024-04-24 Noel Teku , Sudarshan Adiga , Ravi Tandon

Video transformers have recently emerged as an effective alternative to convolutional networks for action classification. However, most prior video transformers adopt either global space-time attention or hand-defined strategies to compare…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Jue Wang , Lorenzo Torresani

The algorithm behind the Fast Fourier Transform has a simple yet beautiful geometric interpretation that is often lost in translation in a classroom. This article provides a visual perspective which aims to capture the essence of it.

Signal Processing · Electrical Eng. & Systems 2018-06-25 Jithin Donny George

We present a new formal solution of the Lagrangian equation of radiative transfer that is useful in solving the equation of radiative transfer in the presence of arbitrary velocity fields. Normally a term due to the inclusion of the…

Solar and Stellar Astrophysics · Physics 2009-11-13 S. Knop , P. H. Hauschildt , E. Baron