Advanced Computational and Intelligent Methods in Signal Processing

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 20 September 2026 | Viewed by 829

Special Issue Editor

School of Integrated Circuits and Electronics, Beijing Institute of Technology, Beijing 100081, China
Interests: radar signal processing; anti-jamming; interference suppression; SAR images intelligent interpretation; radio frequency detection and recognition; few-shot learning; graph learning

Special Issue Information

Dear Colleagues,

It is often the case that the analysis and interpretation of real-world signals—from biomedical recordings and financial time series to multimedia and sensor data—require sophisticated computational and intelligent methods. The challenges posed by high dimensionality, non-stationarity, noise, and complex nonlinear patterns demand solutions that go beyond traditional techniques, drawing on advances in numerical computation, deep learning, machine learning, and optimization theory.

Applications span a wide range of domains, including speech and audio processing, computer vision, biomedical engineering, wireless communications, autonomous systems, financial engineering, and remote sensing.

The development and theoretical analysis of these advanced computational and intelligent methods are crucial for building efficient, robust, and interpretable systems. By exploiting the mathematical structures of both algorithms and signals, we can design scalable models, establish performance guarantees, and gain deeper insights into the data they process.

This Special Issue gathers contributions showcasing the development and application of advanced computational and intelligent methods for signal processing. Special emphasis is placed on the mathematical foundations of these methods—including optimization, linear algebra, statistical learning, and information theory—as well as on the design of efficient algorithms capable of solving large-scale and complex signal processing problems. We seek contributions that demonstrate state-of-the-art performance while also offering novel theoretical insights or innovative computational frameworks.

Dr. Ping Lang
Guest Editor

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Keywords

  • signal processing
  • machine learning
  • deep learning
  • optimization algorithms
  • computational mathematics
  • time-frequency analysis
  • intelligent systems
  • sensor networks
  • high-performance computing
  • nonlinear signal analysis

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Published Papers (1 paper)

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Research

21 pages, 3437 KB  
Article
Joint Topology Learning and Latent Input Identification Using Spatio-Temporally Linear Structured SEM
by Jie Zhou, Rui Yang, Xintong Shi and Shuyang Feng
Mathematics 2026, 14(5), 837; https://doi.org/10.3390/math14050837 - 1 Mar 2026
Viewed by 431
Abstract
Topology identification and signal inference are cornerstone tasks in graph signal processing (GSP). Structural Equation Modeling (SEM) is particularly effective for network inference as it explicitly captures causal dependencies. However, a major bottleneck in existing SEM-based approaches is the reliance on fully observable [...] Read more.
Topology identification and signal inference are cornerstone tasks in graph signal processing (GSP). Structural Equation Modeling (SEM) is particularly effective for network inference as it explicitly captures causal dependencies. However, a major bottleneck in existing SEM-based approaches is the reliance on fully observable exogenous inputs. In many practical applications, systems are driven by latent stimuli, rendering traditional estimation methods ineffective. To overcome this, we propose a novel SEM framework for the joint inference of graph topology and unknown exogenous inputs. The core innovation lies in the spatio-temporal modeling of these latent inputs: each stimulus is decomposed into a rank-one component characterized by nodal sparsity (spatial localization) and temporal piecewise smoothness (temporal persistence). This structured formulation transforms an otherwise ill-posed blind identification problem into a tractable regularized optimization task. We develop an efficient algorithm based on the Alternating Direction Method of Multipliers (ADMM) to solve the resulting convex problem. Numerical experiments on synthetic and real-world datasets demonstrate that the proposed method effectively disentangles endogenous network interactions from latent exogenous influences, outperforming baseline approaches in both topology and signal recovery. Full article
(This article belongs to the Special Issue Advanced Computational and Intelligent Methods in Signal Processing)
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