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This paper introduces a general method for the exploration of equivalence classes in the input space of Transformer models. The proposed approach is based on sound mathematical theory which describes the internal layers of a Transformer…

机器学习 · 计算机科学 2025-10-23 Alessandro Benfenati , Alfio Ferrara , Alessio Marta , Davide Riva , Elisabetta Rocchetti

The difficulty in frequency domain identification is that frequency components of arbitrary inputs and outputs are not related by the system's transfer function if signals are windowed. When rectangular windows are used, it is well known…

信号处理 · 电气工程与系统科学 2020-12-07 Eduardo Martini , André V. G. Cavalieri , Peter Jordan , Lutz Lesshafft

We study concentration operators associated with either the discrete or the continuous Fourier transform, that is, operators that incorporate a spatial cut-off and a subsequent frequency cut-off to the Fourier inversion formula. Their…

泛函分析 · 数学 2024-03-11 Felipe Marceca , José Luis Romero , Michael Speckbacher

Learning a generalized prior for natural image restoration is an important yet challenging task. Early methods mostly involved handcrafted priors including normalized sparsity, l_0 gradients, dark channel priors, etc. Recently, deep neural…

计算机视觉与模式识别 · 计算机科学 2022-08-08 Lin Liu , Lingxi Xie , Xiaopeng Zhang , Shanxin Yuan , Xiangyu Chen , Wengang Zhou , Houqiang Li , Qi Tian

In turbid media, scattering of light scrambles information of the incident beam and represents an obstacle to optical imaging. Noninvasive imaging through opaque layers is challenging for dynamic and wide-field objects due to unreliable…

光学 · 物理学 2018-10-17 Yuan Yuan , Hui Chen

The electrodynamic properties of BiFeO$_3$ films in the THz region are investigated via time domain spectroscopy. Combining the use of transmission ($\tilde{T}$) and reflection ($\tilde{R}$) measurements under normal incidence, the…

In this article, a general information-plus-noise transmission model is assumed, the receiver end of which is composed of a large number of sensors and is unaware of the noise pattern. For this model, and under reasonable assumptions, a set…

信息论 · 计算机科学 2015-06-12 Julia Vinogradova , Romain Couillet , Walid Hachem

The paper introduces hidden grid background oriented schlieren for quantitative study and visualization of natural convection heat transfer. In this technique, the refractive index variation, induced by the temperature gradient, is encoded…

信号处理 · 电气工程与系统科学 2022-10-04 Jagadesh Ramaiah , Tullio de Rubeis , Rajshekhar Gannavarpu , Dario Ambrosini

Auto-regressive neural sequence models have been shown to be effective across text generation tasks. However, their left-to-right decoding order prevents generation from being parallelized. Insertion Transformer (Stern et al., 2019) is an…

计算与语言 · 计算机科学 2023-02-01 Zhisong Zhang , Yizhe Zhang , Bill Dolan

Simulations of high-energy density physics often need non-local thermodynamic equilibrium (NLTE) opacity data. This data, however, is expensive to produce at relatively low-fidelity. It is even more so at high-fidelity such that the opacity…

计算物理 · 物理学 2023-01-25 Michael D. Vander Wal , Ryan G. McClarren , Kelli D. Humbird

Unsupervised text attribute transfer automatically transforms a text to alter a specific attribute (e.g. sentiment) without using any parallel data, while simultaneously preserving its attribute-independent content. The dominant approaches…

计算与语言 · 计算机科学 2019-12-13 Ke Wang , Hang Hua , Xiaojun Wan

The nonlinear Fourier transform (NFT) decomposes waveforms propagating through optical fiber into nonlinear degrees of freedom, which are preserved during transmission. By encoding information on the nonlinear spectrum, a transmission…

信号处理 · 电气工程与系统科学 2020-12-24 Jan-Willem Goossens , Hartmut Hafermann , Yves Jaouën

We consider an inverse spectral theory in a domain with the cavity that is bounded by a penetrable inhomogeneous medium. An ODE system is constructed piecewise through the solutions inside and outside the cavity. The ODE system is connected…

偏微分方程分析 · 数学 2016-05-18 Lung-Hui Chen

We consider the inverse elastic scattering problems using the far field data due to one incident plane wave. A simple method is proposed to reconstruct the location and size of the obstacle using different components of the far field…

偏微分方程分析 · 数学 2019-04-09 J Liu , X. Liu , J. Sun

Electromagnetic field propagation through a transition layer between the positive-index and negative-index materials with linearly changing dielectric permittivity and magnetic permeability was investigated. It is shown that at oblique…

This paper studies the reconstruction of Stekloff eigenvalues and the index of refraction of an inhomogeneous medium from Cauchy data. The inverse spectrum problem to reconstruct Stekloff eigenvalues is investigated using a new integral…

数学物理 · 物理学 2019-09-04 Juan Liu , Yanfang Liu , Jiguang Sun

The Intelligent Fault Diagnosis of rotating machinery currently proposes some captivating challenges. Although results achieved by artificial intelligence and deep learning constantly improve, this field is characterized by several open…

信号处理 · 电气工程与系统科学 2022-07-26 Eugenio Brusa , Cristiana Delprete , Luigi Gianpio Di Maggio

The search for free-floating planets (FFPs) is a key science driver for upcoming microlensing surveys like the Nancy Grace Roman Galactic Exoplanet Survey. These rogue worlds are typically detected via short-duration microlensing events,…

天体物理仪器与方法 · 物理学 2025-12-15 Nolan Smyth , Laurence Perreault-Levasseur , Yashar Hezaveh

Document indexing is a key component for efficient information retrieval (IR). After preprocessing steps such as stemming and stop-word removal, document indexes usually store term-frequencies (tf). Along with tf (that only reflects the…

信息检索 · 计算机科学 2020-04-29 Jibril Frej , Phillipe Mulhem , Didier Schwab , Jean-Pierre Chevallet

The measurement of the optical Transmission Matrix (TM) enables to access "open channels": input patterns, specific to each scattering structure, capable to deliver very high transmission. Various approaches, based either on multiple…

光学 · 物理学 2022-11-23 Marco Leonetti , Luca Leuzzi , Giancarlo Ruocco