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Call for papers     Special issue on Theme Issue on kernel-based methods (click to view details)
Call for papers     Special Issue on Analysis in Data Science: Methods and Applications (click to view details)

Mathematical Foundations of Computing (MFC), indexed in ESCI, provides an interdisciplinary forum to promote interaction among mathematicians, computer scientists and statisticians as well as engineers to exchange new ideas and techniques for attacking the pressing challenges in data analysis. The journal aims to provide a place for more understanding and transparency of data analytics in different areas of AI. We welcome high-quality papers in all areas of AI related to the computational and algorithmic aspects of data analysis, with emphasis on innovative theoretical development, methods, and algorithms including, but not restricted to, machine learning, deep learning, and learning theory.


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A novel approach for solving skewed classification problem using cluster based ensemble method
Gillala Rekha, V Krishna Reddy and Amit Kumar Tyagi
2020, 3(1) : 1-9 doi: 10.3934/mfc.2020001 +[Abstract](253) +[HTML](152) +[PDF](234.78KB)
Orbital stability of periodic traveling wave solutions to the coupled compound KdV and MKdV equations with two components
Xiaoxiao Zheng and Hui Wu
2020, 3(1) : 11-24 doi: 10.3934/mfc.2020002 +[Abstract](204) +[HTML](126) +[PDF](407.62KB)
Error analysis on regularized regression based on the Maximum correntropy criterion
Bingzheng Li and Zhengzhan Dai
2020, 3(1) : 25-40 doi: 10.3934/mfc.2020003 +[Abstract](152) +[HTML](81) +[PDF](404.23KB)
Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators
Danilo Costarelli and Gianluca Vinti
2020, 3(1) : 41-50 doi: 10.3934/mfc.2020004 +[Abstract](188) +[HTML](117) +[PDF](366.1KB)
An improved deep convolutional neural network model with kernel loss function in image classification
Yuantian Xia, Juxiang Zhou, Tianwei Xu and Wei Gao
2020, 3(1) : 51-64 doi: 10.3934/mfc.2020005 +[Abstract](202) +[HTML](105) +[PDF](1026.31KB)
Image enhancement algorithm using adaptive fractional differential mask technique
Xuefeng Zhang and Hui Yan
2019, 2(4) : 347-359 doi: 10.3934/mfc.2019022 +[Abstract](389) +[HTML](190) +[PDF](1909.94KB) Cited By(0)
Using distribution analysis for parameter selection in repstream
Ross Callister, Duc-Son Pham and Mihai Lazarescu
2019, 2(3) : 215-250 doi: 10.3934/mfc.2019015 +[Abstract](852) +[HTML](370) +[PDF](1663.77KB) Cited By(0)
SEMANTIC-RTAB-MAP (SRM): A semantic SLAM system with CNNs on depth images
Mingyuan Mao, Hewei Zhang, Simeng Li and Baochang Zhang
2019, 2(1) : 29-41 doi: 10.3934/mfc.2019003 +[Abstract](2385) +[HTML](1451) +[PDF](1868.4KB) Cited By(0)
Alternative criteria for admissibility and stabilization of singular fractional order systems
Xuefeng Zhang and Zhe Wang
2019, 2(3) : 267-277 doi: 10.3934/mfc.2019017 +[Abstract](715) +[HTML](306) +[PDF](342.98KB) Cited By(0)
Nonconvex mixed matrix minimization
Meijuan Shang, Yanan Liu, Lingchen Kong, Xianchao Xiu and Ying Yang
2019, 2(2) : 107-126 doi: 10.3934/mfc.2019009 +[Abstract](1286) +[HTML](529) +[PDF](477.87KB) Cited By(0)
Cryptographic algorithms for privacy-preserving online applications
Ruinian Li, Yinhao Xiao, Cheng Zhang, Tianyi Song and Chunqiang Hu
2018, 1(4) : 311-330 doi: 10.3934/mfc.2018015 +[Abstract](3194) +[HTML](1286) +[PDF](994.72KB) Cited By(0)
Error analysis on regularized regression based on the Maximum correntropy criterion
Bingzheng Li and Zhengzhan Dai
2020, 3(1) : 25-40 doi: 10.3934/mfc.2020003 +[Abstract](152) +[HTML](81) +[PDF](404.23KB) Cited By(0)
Nonlinear diffusion based image segmentation using two fast algorithms
Lu Tan, Ling Li, Senjian An and Zhenkuan Pan
2019, 2(2) : 149-168 doi: 10.3934/mfc.2019011 +[Abstract](1160) +[HTML](462) +[PDF](1699.09KB) Cited By(0)
Network(graph) data research in the coordinate system
Liu Hui, Lin Zhi and Waqas Ahmad
2018, 1(1) : 1-10 doi: 10.3934/mfc.2018001 +[Abstract](4211) +[HTML](1530) +[PDF](708.5KB) Cited By(0)
Relay selection based on social relationship prediction and information leakage reduction for mobile social networks
Xiaoshuang Xing, Gaofei Sun, Yong Jin, Wenyi Tang and Xiuzhen Cheng
2018, 1(4) : 369-382 doi: 10.3934/mfc.2018018 +[Abstract](2776) +[HTML](888) +[PDF](429.11KB) Cited By(0)
A survey on security and privacy issues of blockchain technology
Archana Prashanth Joshi, Meng Han and Yan Wang
2018, 1(2) : 121-147 doi: 10.3934/mfc.2018007 +[Abstract](17985) +[HTML](9151) +[PDF](3282.55KB) PDF Downloads(2230)
Application of learning algorithms in smart home IoT system security
Jian Mao, Qixiao Lin and Jingdong Bian
2018, 1(1) : 63-76 doi: 10.3934/mfc.2018004 +[Abstract](8638) +[HTML](6300) +[PDF](1032.13KB) PDF Downloads(616)
Influence analysis: A survey of the state-of-the-art
Meng Han and Yingshu Li
2018, 1(3) : 201-253 doi: 10.3934/mfc.2018010 +[Abstract](6401) +[HTML](3417) +[PDF](2792.87KB) PDF Downloads(572)
How convolutional neural networks see the world --- A survey of convolutional neural network visualization methods
Zhuwei Qin, Fuxun Yu, Chenchen Liu and Xiang Chen
2018, 1(2) : 149-180 doi: 10.3934/mfc.2018008 +[Abstract](6450) +[HTML](4334) +[PDF](5025.25KB) PDF Downloads(439)
SEMANTIC-RTAB-MAP (SRM): A semantic SLAM system with CNNs on depth images
Mingyuan Mao, Hewei Zhang, Simeng Li and Baochang Zhang
2019, 2(1) : 29-41 doi: 10.3934/mfc.2019003 +[Abstract](2385) +[HTML](1451) +[PDF](1868.4KB) PDF Downloads(330)
CP_ABSC: An attribute-based signcryption scheme to secure multicast communications in smart grids
Chunqiang Hu, Jiguo Yu, Xiuzhen Cheng, Zhi Tian, Kemal Akkaya and and Limin Sun
2018, 1(1) : 77-100 doi: 10.3934/mfc.2018005 +[Abstract](5072) +[HTML](1981) +[PDF](1438.97KB) PDF Downloads(192)
An effective hybrid firefly algorithm with the cuckoo search for engineering optimization problems
Mohamed A. Tawhid and Ahmed F. Ali
2018, 1(4) : 349-368 doi: 10.3934/mfc.2018017 +[Abstract](3300) +[HTML](1064) +[PDF](649.23KB) PDF Downloads(157)
A survey: Reward distribution mechanisms and withholding attacks in Bitcoin pool mining
Saide Zhu, Wei Li, Hong Li, Chunqiang Hu and Zhipeng Cai
2018, 1(4) : 393-414 doi: 10.3934/mfc.2018020 +[Abstract](6092) +[HTML](2977) +[PDF](902.32KB) PDF Downloads(151)
Hybrid binary dragonfly enhanced particle swarm optimization algorithm for solving feature selection problems
Mohamed A. Tawhid and Kevin B. Dsouza
2018, 1(2) : 181-200 doi: 10.3934/mfc.2018009 +[Abstract](5164) +[HTML](2180) +[PDF](609.18KB) PDF Downloads(137)
Cryptographic algorithms for privacy-preserving online applications
Ruinian Li, Yinhao Xiao, Cheng Zhang, Tianyi Song and Chunqiang Hu
2018, 1(4) : 311-330 doi: 10.3934/mfc.2018015 +[Abstract](3194) +[HTML](1286) +[PDF](994.72KB) PDF Downloads(136)

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