Possible Entropic Limits of Iterative Computation in Generative AI: Model Collapse Explained by the Data Processing Inequality and the AI Theorem.

Συγγραφείς: Straňák, Pavel

Πηγή: Symmetry (20738994); May2026, Vol. 18 Issue 5, p764, 12p

Θεματικοί όροι: Generative artificial intelligence, Information theory, Electronic data processing, Iterative methods (Mathematics)

People: Shannon, Claude Elwood, 1916-2001

An improved iterative data processing method for variable gap spectrometer and its validation.

Συγγραφείς: Song, Yue, Jianjun, Lai, Pingwei, Liu, Yangdao, Wei

Πηγή: Journal of Modern Optics; Nov/Dec2025, Vol. 72 Issue 19-21, p959-968, 10p

Θεματικοί όροι: Fast Fourier transforms, Signal-to-noise ratio, Interferometry, Spectrometers, Iterative methods (Mathematics), Numerical solutions to equations, Electronic data processing, Harmonics (Music theory)

Acceleration of Iterative Methods for Solving Linear Inverse Problems Based on Low-Rank Approximation.

Συγγραφείς: Valiakhmetov, B. I.^1,2 (AUTHOR) valiahmetovbi@my.msu.ru, Lukyanenko, D. V.³ (AUTHOR) lukyanenko@physics.msu.ru, Tyrtyshnikov, E. E.^1,2 (AUTHOR) tee@inm.ras.ru

Πηγή: Computational Mathematics & Mathematical Physics. Jan2026, Vol. 66 Issue 1, p1-14. 14p.

Θεματικοί όροι: *Iterative methods (Mathematics), *Inverse problems, *Algebraic equations, *Electronic data processing, *Optimization algorithms

Development of a universal method for quantization of computer-generated holograms in the optical image reconstruction.

Συγγραφείς: Ovchinnikov, A. S., Volkov, A. A., Kerov, A. A., Shifrina, A. V., Petrova, E. K., Cheremkhin, P. A.

Πηγή: Measurement Techniques; Jul2025, Vol. 68 Issue 3/4, p199-208, 10p

Θεματικοί όροι: Holography, Image reconstruction, Quantization (Physics), Optical modulators, Electronic data processing, Histograms, Image quality analysis, Iterative methods (Mathematics)

Robust Legal Element Verification with Iterative LLMs for Enhanced Data Quality

Συγγραφείς: Jiang, Shijia, Chen, Hongan, Jia, Haochen, Han, Ronghui, Wang, Hao

Πηγή: 2025 IEEE International Conference on Big Data (BigData) Big Data (BigData), 2025 IEEE International Conference on. :445-451 Dec, 2025

Relation: 2025 IEEE International Conference on Big Data (BigData)

SDecPP-DC: State Decomposition Privacy-Preserving Optimization Algorithm for Incentive-Based Demand Response in Smart Grid.

Συγγραφείς: Bi, Yang, Dong, Tao

Πηγή: Mathematics (2227-7390); May2026, Vol. 14 Issue 9, p1511, 15p

Θεματικοί όροι: Energy demand management, Data privacy, Mathematical optimization, Electronic data processing, Smart power grids, Iterative methods (Mathematics), Synchronization

Piecewise data-driven tight frame and ℓ 0 -balanced image denoising method.

Συγγραφείς: Du, Wenjian, Li, Jia, Zhou, Qiwen

Πηγή: Inverse Problems & Imaging; Jun2026, Vol. 22, p1-27, 27p

Θεματικοί όροι: Image denoising, Sparse approximations, Signal-to-noise ratio, Iterative methods (Mathematics), Image segmentation

基于压缩感知的快速 Bregman 地震数据重建方法. (Chinese)

Alternate Title: Reconstruction of seismic data with fast Bregman based on compressed sensing. (English)

Συγγραφείς: 孙小东, 李傲伟, 秦 宁, 蒋 润, 王敬伊, 赵 亮, 孙耀庭

Πηγή: Journal of China University of Petroleum; Aug2025, Vol. 49 Issue 4, p62-68, 7p

Θεματικοί όροι: Compressed sensing, Curvelet transforms, Thresholding algorithms, Seismic surveys, Mathematical optimization, Iterative methods (Mathematics), Electronic data processing

A Novel Inertial-Type Iteration Algorithm: Convergence, Data Dependence, and Applications in Image Deblurring and Fractal Generation.

Συγγραφείς: Doğan, Kadri¹ (AUTHOR) dogankadri@artvin.edu.tr, Gürsoy, Faik² (AUTHOR), Hacıoğlu, Emirhan³ (AUTHOR)

Πηγή: Mathematics (2227-7390). May2026, Vol. 14 Issue 9, p1433. 44p.

Θεματικοί όροι: *Iterative methods (Mathematics), *Algorithms, *Fractals, *Mathematical regularization, *Banach spaces, *Image enhancement (Imaging systems), *Asymptotic analysis

A Sparse Power Method With Extrapolation for the Higher‐Order Pagerank Problem.

Συγγραφείς: Zhou, Sheng‐Wei, Wu, Gang

Πηγή: Numerical Linear Algebra with Applications; Oct2025, Vol. 32 Issue 5, p1-24, 24p

Θεματικοί όροι: Extrapolation, Algorithms, Engineering simulations, Electronic data processing, Mathematical analysis, Iterative methods (Mathematics), Data analytics, Markov processes

基于亮度补偿的迭代式非均质图像去雾算法. (Chinese)

Alternate Title: Brightness Compensation Based Iterative Non-Homogeneous Image Dehazing. (English)

Συγγραφείς: 刘春晓, 厉世昌

Πηγή: Journal of Computer-Aided Design & Computer Graphics / Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao; Dec2025, Vol. 37 Issue 12, p2158-2169, 12p

Θεματικοί όροι: Image processing, Image enhancement (Imaging systems), Haze, Iterative methods (Mathematics), Contrast effect

A TV–BM3D Iterative Algorithm for VMAT-CT Reconstruction.

Συγγραφείς: Chien, Chia-Lung, Guo, Beibei, Zhang, Rui

Πηγή: Journal of Imaging; Apr2026, Vol. 12 Issue 4, p166, 19p

Θεματικοί όροι: Image reconstruction, Iterative methods (Mathematics), Image denoising, Regularization parameter, Computed tomography, Radiotherapy, Image enhancement (Imaging systems), Volumetric-modulated arc therapy

Time-frequency domain prior constrained deep unfolding network for low-dose CT reconstruction.

Συγγραφείς: Zhang, Xiong, Zhang, Xinbo, Li, Xinzhong, Ali, Zulfiqur, Wang, Yue, Shangguan, Hong, Cui, Xueying

Πηγή: Journal of X-Ray Science & Technology; Sep2025, Vol. 33 Issue 5, p819-830, 12p

Θεματικοί όροι: Deep learning, Computed tomography, Iterative methods (Mathematics), Image processing, Convolutional neural networks, Image enhancement (Imaging systems)

Iterative Dichotomiser Posteriori Method Based Service Attack Detection in Cloud Computing.

Συγγραφείς: Dhiyanesh, B.¹ dhiyanu87@gmail.com, Karthick, K.², Radha, R.³, Venaik, Anita⁴

Πηγή: Computer Systems Science & Engineering. 2023, Vol. 44 Issue 2, p1099-1107. 9p.

Θεματικοί όροι: Cloud computing, Denial of service attacks, Iterative methods (Mathematics), Discrete element method, Information sharing

Focal spot enhanced by artificial iterative phase conjugated twin-line planar array.

Συγγραφείς: Ting Li, Zhu kou, Jiajing Wang

Πηγή: INTER-NOISE & NOISE-CON Congress & Conference Proceedings; 2023, Vol. 265 Issue 3, p801-808, 8p

Θεματικοί όροι: Computer simulation, Wavelengths, Optical phase conjugation, Iterative methods (Mathematics), Electronic data processing

On QSOR-Like Iteration Method for Quaternion Saddle Point Problems

Συγγραφείς: Zhang, Yanting, Liu, Gunagmei, Yao, Yiwen, Huang, Jingpin

Πηγή: 2023 International Conference on Algorithms, Computing and Data Processing (ACDP) ACDP Algorithms, Computing and Data Processing (ACDP), 2023 International Conference on. :157-161 Jun, 2023

Relation: 2023 International Conference on Algorithms, Computing and Data Processing (ACDP)

Implementation of Ensemble Self-Organizing Maps for Missing Values Imputation.

Συγγραφείς: Siswantining, Titin, Vivaldi, Kathan Gerry, Sarwinda, Devvi, Soemartojo, Saskya Mary, Sari, Ika Marta, Al-Ash, Herley Shaori

Πηγή: Indonesian Journal of Statistics & Its Applications; May2022, Vol. 6 Issue 1, p1-12, 12p

Θεματικοί όροι: Self-organizing maps, Electronic data processing, Generalization, Random forest algorithms, Data analysis, Iterative methods (Mathematics)

New Projected Gradient Method to Solve Variational Inequality Problem

Συγγραφείς: Shan, Zachary

Πηγή: 2023 International Conference on Algorithms, Computing and Data Processing (ACDP) ACDP Algorithms, Computing and Data Processing (ACDP), 2023 International Conference on. :152-156 Jun, 2023

Relation: 2023 International Conference on Algorithms, Computing and Data Processing (ACDP)

Infrared Image Iterative Enhancement in Frequency Domain.

Συγγραφείς: Stankevich, Sergey, Kondratov, Oleksandr, Herda, Maksym, Maslenko, Oleh, Saprykin, Ievgen

Πηγή: Radioelectronics & Communications Systems; Jun2025, Vol. 68 Issue 6, p277-286, 10p

Θεματικοί όροι: Infrared imaging, Image enhancement (Imaging systems), Iterative methods (Mathematics), Modular design, Pixel density measurement, Frequency-domain analysis, Remote-sensing images

MallobSat: Scalable SAT Solving by Clause Sharing.

Συγγραφείς: Schreiber, Dominik, Sanders, Peter

Πηγή: Journal of Artificial Intelligence Research; 2024, Vol. 80, p1437-1495, 59p

Θεματικοί όροι: Scalability, Parallel processing, Iterative methods (Mathematics), Distributed computing, Electronic data processing