In this paper, we explore accelerated continuous-time dynamic approaches with a vanishing damping α/t, driven by a quadratic penalty function designed for linearly constrained convex optimization problems. We replace these linear constraints with penalty terms incorporated into the objective function, where the penalty coefficient grows to +∞ as t tends to infinity. With appropriate penalty coefficients, we establish convergence rates of O(1/t) for the objective residual and the feasibility violation when α>0, and demonstrate the robustness of these convergence rates against external perturbation. Furthermore, we apply the proposed dynamic approach to three distributed optimization problems: a distributed constrained consensus problem, a distributed extended monotropic optimization, and a distributed optimization with separated equations, resulting in three variant distributed dynamic approaches. Numerical examples are provided to show the effectiveness of the proposed quadratic penalty dynamic approaches.
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http://dx.doi.org/10.1016/j.neunet.2024.107032 | DOI Listing |
Neural Netw
December 2024
Pittsburgh Institute, Sichuan University, Chengdu, Sichuan, 610207, China. Electronic address:
In this paper, we explore accelerated continuous-time dynamic approaches with a vanishing damping α/t, driven by a quadratic penalty function designed for linearly constrained convex optimization problems. We replace these linear constraints with penalty terms incorporated into the objective function, where the penalty coefficient grows to +∞ as t tends to infinity. With appropriate penalty coefficients, we establish convergence rates of O(1/t) for the objective residual and the feasibility violation when α>0, and demonstrate the robustness of these convergence rates against external perturbation.
View Article and Find Full Text PDFBiol Direct
December 2024
Departamento de Inmunología, Facultad de Medicina, Universidad Complutense de Madrid, 28040, Madrid, Spain.
In this work, we present a novel modeling framework for understanding the dynamics of homeostatic regulation. Inspired by engineering control theory, this framework incorporates unique features of biological systems. First, biological variables often play physiological roles, and taking this functional context into consideration is essential to fully understand the goals and constraints of homeostatic regulation.
View Article and Find Full Text PDFBMC Med Res Methodol
December 2024
German Diabetes Center, Leibniz Center for Diabetes Research, Institute for Biometrics and Epidemiology, Heinrich-Heine-University Düsseldorf, Düsseldorf, Germany.
Background: Propensity score matching has become a popular method for estimating causal treatment effects in non-randomized studies. However, for time-to-event outcomes, the estimation of hazard ratios based on propensity scores can be challenging if omitted or unobserved covariates are present. Not accounting for such covariates could lead to treatment estimates, differing from the estimate of interest.
View Article and Find Full Text PDFMol Biotechnol
December 2024
Department of Biotechnology, University of Mianwali, Punjab, 42200, Pakistan.
In Salmonella Typhimurium, efflux pump proteins, such as AcrD actively expel drugs and hazardous chemicals from bacterial cells, resulting in treatment failure and the emergence of antibiotic-resistant variants. Focusing on AcrD may lead to the development of novel antimicrobials against multidrug-resistant bacteria. However, challenges persist in achieving high selectivity, low toxicity, and effective bacterial penetration.
View Article and Find Full Text PDFLancet Digit Health
December 2024
Infectious Disease Epidemiology and Dynamics, London School of Hygiene and Tropical Medicine, London, UK.
Since the COVID-19 pandemic, considerable advances have been made to improve epidemic preparedness by accelerating diagnostics, therapeutics, and vaccine development. However, we argue that it is crucial to make equivalent efforts in the field of outbreak analytics to help ensure reliable, evidence-based decision making. To explore the challenges and key priorities in the field of outbreak analytics, the Epiverse-TRACE initiative brought together a multidisciplinary group of experts, including field epidemiologists, data scientists, academics, and software engineers from public health institutions across multiple countries.
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