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This paper presents novel adaptive reduced-rank filtering algorithms based on joint iterative optimization of adaptive filters. The novel scheme consists of a joint iterative optimization of a bank of full-rank adaptive filters that…

Information Theory · Computer Science 2013-04-30 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

Inspired by the use of adaptive kernel-based Cohen's class time-frequency distributions (CCTFDs) for cross-term suppression, this paper aims to explore novel adaptive kernel functions for denoising. We integrate Wiener filter principle and…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Manjun Cui , Zhichao Zhang

The purpose of unitary synthesis is to find a gate sequence that optimally approximates a target unitary transformation. A new synthesis approach, called probabilistic synthesis, has been introduced, and its superiority has been…

Quantum Physics · Physics 2024-05-03 Seiseki Akibue , Go Kato , Seiichiro Tani

Speech enhancement in the time-frequency domain is often performed by estimating a multiplicative mask to extract clean speech. However, most neural network-based methods perform point estimation, i.e., their output consists of a single…

Audio and Speech Processing · Electrical Eng. & Systems 2022-05-06 Huajian Fang , Tal Peer , Stefan Wermter , Timo Gerkmann

In this paper, we investigate a continuous-time linear quadratic control problem for systems with unknown matrices, where only input-output data are available. We propose an output-feedback learning framework based on a canonical nonminimal…

Optimization and Control · Mathematics 2026-05-19 Weijian Li , Bowen Yi , Panos J. Antsaklis , Hai Lin

Nowadays, nonnegative matrix factorization (NMF) based methods have been widely applied to blind spectral unmixing. Introducing proper regularizers to NMF is crucial for mathematically constraining the solutions and physically exploiting…

Computer Vision and Pattern Recognition · Computer Science 2020-10-12 Min Zhao , Tiande Gao , Jie Chen , Wei Chen

In this paper, we enhance a recent algorithm for approximate spectral factorization of matrix functions, extending its capabilities to precisely factorize rational matrices when an exact lower-upper triangular factorization is available.…

Complex Variables · Mathematics 2023-12-07 Lasha Ephremidze , Gennady Mishuris , Ilya Spitkovsky

This paper investigates phase retrieval using the Reshaped Wirtinger Flow (RWF) algorithm, focusing on recovering target vector $\vx \in \R^n$ from magnitude measurements \(y_i = \left| \langle \va_i, \vx \rangle \right|, \; i = 1, \ldots,…

Optimization and Control · Mathematics 2025-07-22 Linbin Li , Haiyang Peng , Yong Xia , Meng Huang

We present a novel method to provide efficient and highly detailed reconstructions. Inspired by wavelets, we learn a neural field that decompose the signal both spatially and frequency-wise. We follow the recent grid-based paradigm for…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Zhijie Wu , Yuhe Jin , Kwang Moo Yi

This paper introduces a novel low-latency online beamforming (BF) algorithm, named Modified Parametric Multichannel Wiener Filter (Mod-PMWF), for enhancing speech mixtures with unknown and varying number of speakers. Although conventional…

Audio and Speech Processing · Electrical Eng. & Systems 2023-07-03 Ning Guo , Tomohiro Nakatani , Shoko Araki , Takehiro Moriya

This paper demonstrates a method that synthesizes narrowband Multiple-Input Multiple-Output (MIMO) beampatterns using the Multi-Tone Sinusoidal Frequency Modulated (MTSFM) waveform model. MIMO arrays transmit unique waveforms on each of…

Signal Processing · Electrical Eng. & Systems 2024-12-11 David A. Hague

Spectrum multiplexer enables simultaneous transmission of multiple narrow-band IoT signals through gateway devices, thereby enhancing overall spectrum utilization. We propose a novel solution based on filter banks that offer increased…

Signal Processing · Electrical Eng. & Systems 2025-07-24 Jiazhao Wang , Wenchao Jiang

Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum…

Quantum Physics · Physics 2020-08-11 F. Martínez-García , D. Vodola , M. Müller

The Unscented Kalman Filter (UKF) is a ubiquitous tool for nonlinear state estimation; however, its performance is limited by the static parameterization of the Unscented Transform (UT). Conventional weighting schemes, governed by fixed…

Machine Learning · Computer Science 2026-03-05 Kenan Majewski , Michał Modzelewski , Marcin Żugaj , Piotr Lichota

This paper presents a new class of adaptive filters, namely Geometric-Algebra Adaptive Filters (GAAFs). They are generated by formulating the underlying minimization problem (a deterministic cost function) from the perspective of Geometric…

Optimization and Control · Mathematics 2018-08-22 Wilder B. Lopes , Cassio G. Lopes

While filtered back projection (FBP) is still the method of choice for fast tomographic reconstruction, its performance degrades noticeably in the presence of noise, incomplete sampling, or non-standard scan geometries. We propose a…

Numerical Analysis · Mathematics 2026-02-16 Hamid Fathi , Alexander Skorikov , Tristan van Leeuwen

Quantum phase estimation is one of the most important tools in quantum algorithms. It can be made non-adaptive (meaning all applications of the unitary $U_\phi$ happen simultaneously) without using more applications of $U_\phi$, albeit at…

Quantum Physics · Physics 2025-11-10 Noah Linden , Ronald de Wolf

The feedforward selective fixed-filter method selects the most suitable pre-trained control filter based on the spectral features of the detected reference signal, effectively avoiding slow convergence in conventional adaptive algorithms.…

Signal Processing · Electrical Eng. & Systems 2025-08-04 Hong-Cheng Liang , Man-Wai Mak , Kong Aik Lee

This paper proposes Bayes-optimal convolutional approximate message-passing (CAMP) for signal recovery in compressed sensing. CAMP uses the same low-complexity matched filter (MF) for interference suppression as approximate message-passing…

Information Theory · Computer Science 2021-04-05 Keigo Takeuchi

We propose a unified framework to speed up the existing stochastic matrix factorization (SMF) algorithms via variance reduction. Our framework is general and it subsumes several well-known SMF formulations in the literature. We perform a…

Machine Learning · Statistics 2017-05-23 Renbo Zhao , William B. Haskell , Jiashi Feng
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