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We demonstrate the utility of machine learning in the separation of superimposed chaotic signals using a technique called Reservoir Computing. We assume no knowledge of the dynamical equations that produce the signals, and require only…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Sanjukta Krishnagopal , Michelle Girvan , Edward Ott , Brian Hunt

Canonical correlation analysis (CCA) is a classical representation learning technique for finding correlated variables in multi-view data. Several nonlinear extensions of the original linear CCA have been proposed, including kernel and deep…

Machine Learning · Computer Science 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

In order to identify a system (module) embedded in a dynamic network, one has to formulate a multiple-input estimation problem that necessitates certain nodes to be measured and included as predictor inputs. However, some of these nodes may…

Systems and Control · Electrical Eng. & Systems 2022-08-24 Karthik R. Ramaswamy , Giulio Bottegal , Paul M. J. Van den Hof

This paper presents a kernel-based framework for physics-informed nonlinear system identification. The key contribution is a structured methodology that extends kernel-based techniques to seamlessly embed partially known physics-based…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Cesare Donati , Martina Mammarella , Giuseppe C. Calafiore , Fabrizio Dabbene , Constantino Lagoa , Carlo Novara

We consider an identification method for a linear continuous time-invariant autonomous system from noisy state observations. In particular, we focus on the identification to satisfy the asymptotic stability of the system with some prior…

Optimization and Control · Mathematics 2023-09-18 Mitsuaki Obara , Kazuhiro Sato , Hiroki Sakamoto , Takayuki Okuno , Akiko Takeda

The implementation of computational sensing strategies often faces calibration problems typically solved by means of multiple, accurately chosen training signals, an approach that can be resource-consuming and cumbersome. Conversely, blind…

Information Theory · Computer Science 2017-02-17 Valerio Cambareri , Laurent Jacques

Kernel and Multiple Kernel Canonical Correlation Analysis (CCA) are employed to classify schizophrenic and healthy patients based on their SNPs, DNA Methylation and fMRI data. Kernel and Multiple Kernel CCA are popular methods for finding…

Quantitative Methods · Quantitative Biology 2016-09-16 Owen Richfield , Md. Ashad Alam , Vince Calhoun , Yu-Ping Wang

Kernel-based methods have been recently introduced for linear system identification as an alternative to parametric prediction error methods. Adopting the Bayesian perspective, the impulse response is modeled as a non-stationary Gaussian…

Optimization and Control · Mathematics 2017-03-16 Mattia Zorzi , Alessandro Chiuso

In the problem of quantum channel discrimination, one distinguishes between a given number of quantum channels, which is done by sending an input state through a channel and measuring the output state. This work studies applications of…

Quantum Physics · Physics 2022-09-08 Andrey Kardashin , Anna Vlasova , Anastasiia Pervishko , Dmitry Yudin , Jacob Biamonte

We introduce a novel physical layer scheme for single user Multiple-Input Multiple-Output (MIMO) communications based on unsupervised deep learning using an autoencoder. This method extends prior work on the joint optimization of physical…

Information Theory · Computer Science 2017-07-26 Timothy J. O'Shea , Tugba Erpek , T. Charles Clancy

In this paper, we investigate the design of linear precoders for multiple-input multiple-output (MIMO) multiple access channels (MAC). We assume that statistical channel state information (CSI) is available at the transmitters and consider…

Information Theory · Computer Science 2014-01-22 Yongpeng Wu , Chao-Kai Wen , Chengshan Xiao , Xiqi Gao , Robert Schober

Hybrid quantum-classical machine learning offers a promising direction for advancing automated quality control in industrial settings. In this study, we investigate two hybrid quantum-classical approaches for classifying defects in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Akshaya Srinivasan , Xiaoyin Cheng , Jianming Yi , Alexander Geng , Desislava Ivanova , Andreas Weinmann , Ali Moghiseh

Support Vector Machines (SVMs) are powerful learners that have led to state-of-the-art results in various computer vision problems. SVMs suffer from various drawbacks in terms of selecting the right kernel, which depends on the image…

Computer Vision and Pattern Recognition · Computer Science 2014-03-31 Gemma Roig , Xavier Boix , Luc Van Gool

This paper considers a version of the Wiener filtering problem for equalization of passive quantum linear quantum systems. We demonstrate that taking into consideration the quantum nature of the signals involved leads to features typically…

Systems and Control · Electrical Eng. & Systems 2024-12-20 V. Ugrinovskii , M. R. James

We illustrate relationships between classical kernel-based dimensionality reduction techniques and eigendecompositions of empirical estimates of reproducing kernel Hilbert space (RKHS) operators associated with dynamical systems. In…

Dynamical Systems · Mathematics 2020-01-08 Stefan Klus , Brooke E. Husic , Mattes Mollenhauer , Frank Noé

The classical Rician Weichselberger channel and the emerging holographic multiple-input multiple-output (MIMO) channel share a common characteristic of non-separable correlation, which captures the interdependence between transmit and…

Information Theory · Computer Science 2024-02-16 Xin Zhang , Shenghui Song , Khaled B. Letaief

In this paper, by mapping datasets to a set of non-linear coherent states, the process of encoding inputs in quantum states as a non-linear feature map is re-interpreted. As a result of this fact that the Radial Basis Function is recovered…

Quantum Physics · Physics 2020-07-17 Prayag Tiwari , Shahram Dehdashti , Abdul Karim Obeid , Massimo Melucci , Peter Bruza

Canonical correlation analysis (CCA) has been one of the most popular methods for frequency recognition in steady-state visual evoked potential (SSVEP)-based brain-computer interfaces (BCIs). Despite its efficiency, a potential problem is…

Machine Learning · Statistics 2014-01-17 Yu Zhang , Guoxu Zhou , Jing Jin , Xingyu Wang , Andrzej Cichocki

While researches on model-based blind single image super-resolution (SISR) have achieved tremendous successes recently, most of them do not consider the image degradation sufficiently. Firstly, they always assume image noise obeys an…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Zongsheng Yue , Qian Zhao , Jianwen Xie , Lei Zhang , Deyu Meng , Kwan-Yee K. Wong

Vision-language models, such as CLIP, have achieved significant success in aligning visual and textual representations, becoming essential components of many multi-modal large language models (MLLMs) like LLaVA and OpenFlamingo. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Shizhan Gong , Yankai Jiang , Qi Dou , Farzan Farnia