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This paper explores the integration of Diophantine equations into neural network (NN) architectures to improve model interpretability, stability, and efficiency. By encoding and decoding neural network parameters as integer solutions to…

Machine Learning · Computer Science 2024-09-12 Ronald Katende

Polar codes are a new class of capacity-achieving error-correcting codes with low encoding and decoding complexity. Their low-complexity decoding algorithms rendering them attractive for use in software-defined radio applications where…

Information Theory · Computer Science 2016-07-12 Pascal Giard , Gabi Sarkis , Camille Leroux , Claude Thibeault , Warren J. Gross

Motivated by signal processing, we present a new class of channel codes, called signal codes, for continuous-alphabet channels. Signal codes are lattice codes whose encoding is done by convolving an integer information sequence with a fixed…

Information Theory · Computer Science 2016-11-18 Ofir Shalvi , Naftali Sommer , Meir Feder

An encoder wishes to minimize the bit rate necessary to guarantee that a decoder is able to calculate a symbolwise function of a sequence available only at the encoder and a sequence that can be measured only at the decoder. This classical…

Information Theory · Computer Science 2012-04-19 Behzad Ahmadi , Osvaldo Simeone

Image captioning is a challenging task and attracting more and more attention in the field of Artificial Intelligence, and which can be applied to efficient image retrieval, intelligent blind guidance and human-computer interaction, etc. In…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Yiyu Wang , Jungang Xu , Yingfei Sun , Ben He

Finding optimal correction of errors in generic stabilizer codes is a computationally hard problem, even for simple noise models. While this task can be simplified for codes with some structure, such as topological stabilizer codes,…

Quantum Physics · Physics 2019-06-05 Nishad Maskara , Aleksander Kubica , Tomas Jochym-O'Connor

Both neurophysiological and psychophysical experiments have pointed out the crucial role of recurrent and feedback connections to process context-dependent information in the early visual cortex. While numerous models have accounted for…

Computer Vision and Pattern Recognition · Computer Science 2019-10-18 Victor Boutin , Angelo Franciosini , Frederic Chavane , Franck Ruffier , Laurent Perrinet

A sup-interpretation is a tool which provides an upper bound on the size of a value computed by some symbol of a program. Sup-interpretations have shown their interest to deal with the complexity of first order functional programs. For…

Programming Languages · Computer Science 2007-06-18 Jean-Yves Marion , Romain Pechoux

The aim of this paper is to propose an alternative method to solve a Fault Tolerant Control problem. The model is a linear system affected by a disturbance term: this represents a large class of technological faulty processes. The goal is…

Optimization and Control · Mathematics 2010-11-15 Sophie M. Fosson

Advanced neural machine translation (NMT) models generally implement encoder and decoder as multiple layers, which allows systems to model complex functions and capture complicated linguistic structures. However, only the top layers of…

Computation and Language · Computer Science 2018-10-25 Zi-Yi Dou , Zhaopeng Tu , Xing Wang , Shuming Shi , Tong Zhang

Matching algorithms can be used for identifying errors in quantum systems, being the most famous the Blossom algorithm. Recent works have shown that small distance quantum error correction codes can be efficiently decoded by employing…

Quantum Physics · Physics 2019-11-27 Savvas Varsamopoulos , Koen Bertels , Carmen G. Almudever

Noise reduction techniques based on deep learning have demonstrated impressive performance in enhancing the overall quality of recorded speech. While these approaches are highly performant, their application in audio engineering can be…

Sound · Computer Science 2023-10-18 Christian J. Steinmetz , Thomas Walther , Joshua D. Reiss

This paper concerns application of feedback in LT codes. The considered type of feedback is acknowledgments, where information on which symbols have been decoded is given to the transmitter. We identify an important adaptive mechanism in…

Information Theory · Computer Science 2010-12-14 Jesper H. Sørensen , Petar Popovski , Jan Østergaard

We propose a Deep Texture Encoding Network (Deep-TEN) with a novel Encoding Layer integrated on top of convolutional layers, which ports the entire dictionary learning and encoding pipeline into a single model. Current methods build from…

Computer Vision and Pattern Recognition · Computer Science 2016-12-12 Hang Zhang , Jia Xue , Kristin Dana

This paper proposes a generic method to learn interpretable convolutional filters in a deep convolutional neural network (CNN) for object classification, where each interpretable filter encodes features of a specific object part. Our method…

Machine Learning · Computer Science 2020-03-13 Quanshi Zhang , Xin Wang , Ying Nian Wu , Huilin Zhou , Song-Chun Zhu

Complex networks have been employed to model many real systems and as a modeling tool in a myriad of applications. In this paper, we use the framework of complex networks to the problem of supervised classification in the word…

Physics and Society · Physics 2013-02-20 Thiago C. Silva , Diego R. Amancio

We consider multi-user semantic communications over broadcast channels. While most existing works consider that each receiver requires either the same or independent semantic information, this paper explores the scenario where the semantic…

Information Theory · Computer Science 2024-06-13 Yufei Bo , Shuo Shao , Meixia tao

Modeling and controlling complex spatiotemporal dynamical systems driven by partial differential equations (PDEs) often necessitate dimensionality reduction techniques to construct lower-order models for computational efficiency. This paper…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Priyabrata Saha , Saibal Mukhopadhyay

We present a simple yet highly generalizable method for explaining interacting parts within a neural network's reasoning process. First, we design an algorithm based on cross derivatives for computing statistical interaction effects between…

Machine Learning · Computer Science 2021-10-12 Samuel Lerman , Chenliang Xu , Charles Venuto , Henry Kautz

Tools capable of automatic code generation have the potential to augment programmer's capabilities. While straightforward code retrieval is incorporated into many IDEs, an emerging area is explicit code generation. Code generation is…

Computation and Language · Computer Science 2020-12-09 Carlos Gemmell , Federico Rossetto , Jeffrey Dalton