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Motivated by the theory of bi-singular pseudodifferential operators, we introduce a two dimensional version of the Adler-Manin trace. Our construction is rather general in the sense that it involves a twist afforded by an algebra…

Analysis of PDEs · Mathematics 2013-03-26 Farzad Fathizadeh , Masoud Khalkhali , Fabio Nicola , Luigi Rodino

The multiuser communication channel, in which multiple users exchange information with the help of a relay terminal, termed the multi-way relay channel (mRC), is introduced. In this model, multiple interfering clusters of users communicate…

Information Theory · Computer Science 2015-03-14 Deniz Gunduz , Aylin Yener , Andrea Goldsmith , H. Vincent Poor

Predicting accurate future trajectories of multiple agents is essential for autonomous systems, but is challenging due to the complex agent interaction and the uncertainty in each agent's future behavior. Forecasting multi-agent…

Artificial Intelligence · Computer Science 2021-10-08 Ye Yuan , Xinshuo Weng , Yanglan Ou , Kris Kitani

We describe a family of iterative algorithms that involve the repeated execution of discrete and inverse discrete Fourier transforms. One interesting member of this family is motivated by the discrete Fourier transform uncertainty principle…

Signal Processing · Electrical Eng. & Systems 2026-05-19 H. Robert Frost

Encoder-decoder foundation models have displayed state-of-the-art performance on a range of autoregressive sequence tasks. This paper proposes a simple and lightweight modification to such systems to control the behaviour according to a…

Computation and Language · Computer Science 2024-05-06 Yassir Fathullah , Mark J. F. Gales

In multi-source sequence-to-sequence tasks, the attention mechanism can be modeled in several ways. This topic has been thoroughly studied on recurrent architectures. In this paper, we extend the previous work to the encoder-decoder…

Computation and Language · Computer Science 2018-11-13 Jindřich Libovický , Jindřich Helcl , David Mareček

This paper studies the design of a decentralized multiuser multi-antenna (MIMO) system for spectrum sharing over a fixed narrow band, where the coexisting users independently update their transmit covariance matrices for individual…

Information Theory · Computer Science 2009-05-22 Rui Zhang , John M. Cioffi

In this paper we analyse the structure of the spaces of coefficients of eigenfunction expansions of functions in Komatsu classes on compact manifolds, continuing the research in our previous paper. We prove that such spaces of Fourier…

Functional Analysis · Mathematics 2017-07-14 Aparajita Dasgupta , Michael Ruzhansky

In a two-user broadcast channel where one user has full CSIR and the other has none, a recent result showed that TDMA is strictly suboptimal and a product superposition requiring non-coherent signaling achieves DoF gains under many antenna…

Information Theory · Computer Science 2016-07-26 Yang Li , Aria Nosratinia

Existing top-performance autonomous driving systems typically rely on the multi-modal fusion strategy for reliable scene understanding. This design is however fundamentally restricted due to overlooking the modality-specific strengths and…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Zeyu Yang , Nan Song , Wei Li , Xiatian Zhu , Li Zhang , Philip H. S. Torr

Recommendation models are vital in delivering personalized user experiences by leveraging the correlation between multiple input features. However, deep learning-based recommendation models often face challenges due to evolving user…

Information Retrieval · Computer Science 2023-08-30 Muhammad Adnan , Yassaman Ebrahimzadeh Maboud , Divya Mahajan , Prashant J. Nair

In this report, we investigate the data transmission model in which a sequence of data is broadcasted to a number of receivers. The receivers, which have different channel capacities, wish to decode the data sequentially at different rates.…

Information Theory · Computer Science 2012-10-15 Cheuk Ting LI

Neat stuff about eigenfunctions, transfer matrices, and a.c. spectrum of one-dimensional Schrodinger operators

Mathematical Physics · Physics 2009-10-31 Yoram Last , Barry Simon

In recent years, several high-performance conversational systems have been proposed based on the Transformer encoder-decoder model. Although previous studies analyzed the effects of the model parameters and the decoding method on subjective…

Computation and Language · Computer Science 2021-09-14 Hiroaki Sugiyama , Masahiro Mizukami , Tsunehiro Arimoto , Hiromi Narimatsu , Yuya Chiba , Hideharu Nakajima , Toyomi Meguro

Fourier-encoded implicit neural representations (INRs) have shown strong capability in modeling continuous signals from discrete samples. However, conventional Fourier feature mappings use a fixed set of frequencies over the entire spatial…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Ligen Shi , Jun Qiu , Yuhang Zheng , Zengyu Pang , Chang Liu

It is well established that the physical phenomenon of intermittency can be investigated via the spectral analysis of a transfer operator associated with the dynamics of an interval map with indifferent fixed point. We present here for the…

Chaotic Dynamics · Physics 2007-05-23 Thomas Prellberg

To capture user preference, transformer models have been widely applied to model sequential user behavior data. The core of transformer architecture lies in the self-attention mechanism, which computes the pairwise attention scores in a…

Information Retrieval · Computer Science 2024-04-05 Zhen Tian , Wayne Xin Zhao , Changwang Zhang , Xin Zhao , Zhongrui Ma , Ji-Rong Wen

We propose a computational model of speech production combining a pre-trained neural articulatory synthesizer able to reproduce complex speech stimuli from a limited set of interpretable articulatory parameters, a DNN-based internal forward…

Sound · Computer Science 2022-04-06 Marc-Antoine Georges , Julien Diard , Laurent Girin , Jean-Luc Schwartz , Thomas Hueber

Listeners use short interjections, so-called backchannels, to signify attention or express agreement. The automatic analysis of this behavior is of key importance for human conversation analysis and interactive conversational agents.…

Computer Vision and Pattern Recognition · Computer Science 2023-06-05 Ahmed Amer , Chirag Bhuvaneshwara , Gowtham K. Addluri , Mohammed M. Shaik , Vedant Bonde , Philipp Müller

This paper investigates the formation control problem of heterogeneous, autonomous agents that communicate over a wireless multiple access channel. Instead of avoiding interference through orthogonal node-to-node transmissions, we exploit…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Michael Epp , Fabio Molinari , Jörg Raisch