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Geometric Algebra Quantum Convolutional Neural Network: A model using geometric (Clifford) algebras and quantum computing [Hypercomplex Signal and Image Processing] 几何代数量子卷积神经网络：使用几何（克利福德）代数和量子计算的模型[超复杂信号和图像处理］
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2024.3369015
Guillermo Altamirano-Escobedo;Eduardo Bayro-Corrochano
{"title":"Geometric Algebra Quantum Convolutional Neural Network: A model using geometric (Clifford) algebras and quantum computing [Hypercomplex Signal and Image Processing]","authors":"Guillermo Altamirano-Escobedo;Eduardo Bayro-Corrochano","doi":"10.1109/MSP.2024.3369015","DOIUrl":"https://doi.org/10.1109/MSP.2024.3369015","url":null,"abstract":"A hybrid model called the \u0000<italic>geometric (Clifford) quanvolutional neural network</i>\u0000 (\u0000<italic>GQNN</i>\u0000) that merges elements of geometric (Clifford) convolutional neural networks (GCNNs) and variational quantum circuits (VQCs) is presented. In this model, a randomized quantum convolution operation is applied to the input image, giving as a result four output channels, which are treated as a single entity (quaternion image) by the subsequent quaternion layers. This approach is extended to Clifford algebras by choosing the number of qubits of the quantum circuit according to the dimension of the Clifford algebra so that the resulting output channels are regarded as the components of a multivector image to be further processed by Clifford layers.","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Split-Quaternions for Perceptual White Balance: A quantum information-based chromatic adaptation transform [Hypercomplex Signal and Image Processing] 用于感知白平衡的分裂四元数：基于量子信息的色度适应变换[超复杂信号与图像处理］
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2024.3349460
Michel Berthier;Nicoletta Prencipe;Edoardo Provenzi
{"title":"Split-Quaternions for Perceptual White Balance: A quantum information-based chromatic adaptation transform [Hypercomplex Signal and Image Processing]","authors":"Michel Berthier;Nicoletta Prencipe;Edoardo Provenzi","doi":"10.1109/MSP.2024.3349460","DOIUrl":"https://doi.org/10.1109/MSP.2024.3349460","url":null,"abstract":"We propose a perceptual chromatic adaptation transform (CAT) for white balance that makes use of split-quaternions. The novelty of the present work, which is motivated by a recently developed quantumlike model of color perception, consists of stressing the link between the algebraic structures appearing in this model and a certain subalgebra of the split-quaternions. We show the potential of this approach for color image processing applications by proposing a CAT implemented via an appropriate use of the split-quaternion multiplication. Moreover, quantitative comparisons with the widely used state-of-the art von Kries CAT are provided.","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Widely Linear Adaptive Filtering Based on Clifford Geometric Algebra: A unified framework [Hypercomplex Signal and Image Processing] 基于克利福德几何代数的宽线性自适应滤波：统一框架 [超复杂信号与图像处理］
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2024.3379732
Wenyuan Wang;Kutluyil Doğançay
{"title":"Widely Linear Adaptive Filtering Based on Clifford Geometric Algebra: A unified framework [Hypercomplex Signal and Image Processing]","authors":"Wenyuan Wang;Kutluyil Doğançay","doi":"10.1109/MSP.2024.3379732","DOIUrl":"https://doi.org/10.1109/MSP.2024.3379732","url":null,"abstract":"In this article, we present a powerful unifying framework for widely linear (WL) adaptive filters building on the concept of geometric algebra (GA), including recently proposed complex-valued (CV), quaternion-valued, and GA WL adaptive filters (WLAFs). We also consider and review WL adaptive filtering methods that feature robustness against impulsive noise, noisy input measurements, partial coefficient updates, subband structures, censoring, and composite structures under the unified framework. Furthermore, we propose innovative WL adaptive filtering algorithms for functional link polynomial (FLP) nonlinear filters, infinite-impulse response (IIR) systems, and kernel-based nonlinear system identification, showcasing the advantages of the unified framework. The article also investigates the relationship among WLAFs, graph filters, and Cayley–Dickson (CD)-valued adaptive filters, offering new insights into how the unified framework can be extended to graph signals and CD numbers. Finally, the article motivates future work on WL adaptive filtering based on GA and its special cases.","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SPS Join Now SPS 立即加入
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2024.3411229
{"title":"SPS Join Now","authors":"","doi":"10.1109/MSP.2024.3411229","DOIUrl":"https://doi.org/10.1109/MSP.2024.3411229","url":null,"abstract":"","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10558740","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quaternion-Based Arithmetic in Quantum Information Processing: A promising approach for efficient color quantum imaging [Hypercomplex Signal and Image Processing] 量子信息处理中基于四元数的算术：有望实现高效彩色量子成像的方法[超复杂信号与图像处理］
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2023.3327627
Artyom M. Grigoryan;Sos S. Agaian
{"title":"Quaternion-Based Arithmetic in Quantum Information Processing: A promising approach for efficient color quantum imaging [Hypercomplex Signal and Image Processing]","authors":"Artyom M. Grigoryan;Sos S. Agaian","doi":"10.1109/MSP.2023.3327627","DOIUrl":"https://doi.org/10.1109/MSP.2023.3327627","url":null,"abstract":"Classical color image processing, image recognition, and machine learning introduce nonlinearity, causing the collapse of the quantum state into classical probability perceptrons after measurements, due to the inherent linearity of quantum computing. To address this challenge, quaternion-based arithmetic offers a promising approach. By treating the primary color components as a single unit using quaternion algebra, nonlinear relationships can be implemented, effectively manipulating higher-dimensional color data. This article aims to achieve efficient and accurate color quantum image processing (QIP) by introducing new quaternion quantum-based color imaging tools based on multiplicative arithmetic on two-qubits and quantum superpositions. The approach includes the concept of a quaternion Fourier transform (QFT) in two-qubit-based color image representation. To end, we discuss possible applications of the proposed methods in color quantum imaging.","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
In Memoriam: H. Joel Trussell [In Memoriam] 悼念：H. Joel Trussell [悼念］
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2024.3396646
{"title":"In Memoriam: H. Joel Trussell [In Memoriam]","authors":"","doi":"10.1109/MSP.2024.3396646","DOIUrl":"https://doi.org/10.1109/MSP.2024.3396646","url":null,"abstract":"Recounts the career and contributions of H. Joel Trussell.","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10558735","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Signal Processing Society Social Media 信号处理学会社交媒体
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2024.3408368
{"title":"Signal Processing Society Social Media","authors":"","doi":"10.1109/MSP.2024.3408368","DOIUrl":"https://doi.org/10.1109/MSP.2024.3408368","url":null,"abstract":"","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10558734","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Signal Processor Teaches Generative Artificial Intelligence [SP Education] 信号处理器教授生成式人工智能 [SP 教育］
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2024.3388166
Richard J. Radke
{"title":"A Signal Processor Teaches Generative Artificial Intelligence [SP Education]","authors":"Richard J. Radke","doi":"10.1109/MSP.2024.3388166","DOIUrl":"https://doi.org/10.1109/MSP.2024.3388166","url":null,"abstract":"How did an “old dog” signal processing professor approach learning and teaching the “new tricks” of generative artificial intelligence (AI)? This article overviews my recent experience in preparing and delivering a new course called “Computational Creativity,” reflecting on the methods I adopted compared to a traditional equations-on-a-whiteboard course. The technical material is qualitatively different from traditional signal processing, and the types of students who took the class and their approach to learning were different too. I learned a lot from the experience but also came away with bigger questions about the role of educators in the age of generative AI.","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SPS Resource Center SPS 资源中心
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2024.3411228
{"title":"SPS Resource Center","authors":"","doi":"10.1109/MSP.2024.3411228","DOIUrl":"https://doi.org/10.1109/MSP.2024.3411228","url":null,"abstract":"","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10558744","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hypercomplex Processing of Vector Field Seismic Data: Toward vector-valued signal processing [Hypercomplex Signal and Image Processing] 矢量场地震数据的超复杂处理：迈向矢量值信号处理[超复杂信号和图像处理］
IF 14.9 1区 工程技术
IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI: 10.1109/MSP.2024.3349456
Breno Bahia;Arash JafarGandomi;Mauricio D. Sacchi
{"title":"Hypercomplex Processing of Vector Field Seismic Data: Toward vector-valued signal processing [Hypercomplex Signal and Image Processing]","authors":"Breno Bahia;Arash JafarGandomi;Mauricio D. Sacchi","doi":"10.1109/MSP.2024.3349456","DOIUrl":"https://doi.org/10.1109/MSP.2024.3349456","url":null,"abstract":"Vector-valued signals are crucial in science and engineering. The evolving field of hypercomplex signal processing, particularly quaternion algebra, offers a concise and natural approach to handling vectorial data. In multicomponent seismology, for instance, vector-valued signal processing finds a natural fit that has been exploited in several applications. This article provides a concise and practical review of quaternionic methods for handling vector-valued seismic datasets, from historical origins to key concepts and tools in the field of quaternion signal processing, such as the quaternion Fourier transform and quaternion singular value decomposition (SVD). While highlighting existing results, this review also showcases novel developments through source separation applications with quaternions, discussing encountered challenges and outlining potential future trends.","PeriodicalId":13246,"journal":{"name":"IEEE Signal Processing Magazine","volume":null,"pages":null},"PeriodicalIF":14.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141326339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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