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Call for papers     Special Issue of Mathematical Foundations of Computing on Intelligent control theory and method with applications (click to view details)
Call for papers     Special issue on Approximation by linear and nonlinear operators with applications (click to view details)

Mathematical Foundations of Computing (MFC), 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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Global-Affine and Local-Specific Generative Adversarial Network for semantic-guided image generation
Susu Zhang, Jiancheng Ni, Lijun Hou, Zili Zhou, Jie Hou and Feng Gao
2021, 4(3) : 145-165 doi: 10.3934/mfc.2021009 +[Abstract](315) +[HTML](155) +[PDF](2298.61KB)
A novel scheme for multivariate statistical fault detection with application to the Tennessee Eastman process
Nana Xu, Jun Sun, Jingjing Liu and Xianchao Xiu
2021, 4(3) : 167-184 doi: 10.3934/mfc.2021010 +[Abstract](289) +[HTML](98) +[PDF](687.6KB)
Asymptotic normality of associated Lah numbers
Wen Zhang and Lily Li Liu
2021, 4(3) : 185-191 doi: 10.3934/mfc.2021011 +[Abstract](172) +[HTML](81) +[PDF](300.14KB)
Uniform attractors of stochastic three-component Gray-Scott system with multiplicative noise
Junwei Feng, Hui Liu and Jie Xin
2021, 4(3) : 193-208 doi: 10.3934/mfc.2021012 +[Abstract](163) +[HTML](76) +[PDF](359.79KB)
Solving fuzzy volterra-fredholm integral equation by fuzzy artificial neural network
Seiyed Hadi Abtahi, Hamidreza Rahimi and Maryam Mosleh
2021, 4(3) : 209-219 doi: 10.3934/mfc.2021013 +[Abstract](225) +[HTML](81) +[PDF](296.21KB)
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](30517) +[HTML](14087) +[PDF](3282.55KB) Cited By(58)
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](12304) +[HTML](5792) +[PDF](5025.25KB) Cited By(26)
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](7028) +[HTML](2819) +[PDF](609.18KB) Cited By(13)
Discrete heat transfer search for solving travelling salesman problem
Poonam Savsani and Mohamed A. Tawhid
2018, 1(3) : 265-280 doi: 10.3934/mfc.2018012 +[Abstract](5415) +[HTML](2639) +[PDF](865.09KB) Cited By(6)
A classification algorithm with Linear Discriminant Analysis and Axiomatic Fuzzy Sets
Wenjuan Jia, Yingjie Deng, Chenyang Xin, Xiaodong Liu and Witold Pedrycz
2019, 2(1) : 73-81 doi: 10.3934/mfc.2019006 +[Abstract](3484) +[HTML](1103) +[PDF](681.93KB) Cited By(4)
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](9641) +[HTML](4092) +[PDF](2792.87KB) Cited By(4)
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](6986) +[HTML](2430) +[PDF](1438.97KB) Cited By(3)
Exploring timeliness for accurate recommendation in location-based social networks
Yi Xu, Qing Yang and Dianhui Chu
2018, 1(1) : 11-48 doi: 10.3934/mfc.2018002 +[Abstract](5260) +[HTML](1845) +[PDF](653.98KB) Cited By(3)
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](14120) +[HTML](7359) +[PDF](1032.13KB) Cited By(2)
Triangular picture fuzzy linguistic induced ordered weighted aggregation operators and its application on decision making problems
Muhammad Qiyas, Saleem Abdullah, Shahzaib Ashraf, Saifullah Khan and Aziz Khan
2019, 2(3) : 183-201 doi: 10.3934/mfc.2019013 +[Abstract](2134) +[HTML](794) +[PDF](395.03KB) Cited By(2)
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](30517) +[HTML](14087) +[PDF](3282.55KB) PDF Downloads(5847)
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](14120) +[HTML](7359) +[PDF](1032.13KB) PDF Downloads(2010)
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](9641) +[HTML](4092) +[PDF](2792.87KB) PDF Downloads(1214)
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](12304) +[HTML](5792) +[PDF](5025.25KB) PDF Downloads(1035)
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](5198) +[HTML](2046) +[PDF](1868.4KB) PDF Downloads(994)
A Sim2real method based on DDQN for training a self-driving scale car
Qi Zhang, Tao Du and Changzheng Tian
2019, 2(4) : 315-331 doi: 10.3934/mfc.2019020 +[Abstract](2705) +[HTML](989) +[PDF](5616.33KB) PDF Downloads(651)
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](5144) +[HTML](1799) +[PDF](994.72KB) PDF Downloads(387)
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](2521) +[HTML](723) +[PDF](1909.94KB) PDF Downloads(369)
A classification algorithm with Linear Discriminant Analysis and Axiomatic Fuzzy Sets
Wenjuan Jia, Yingjie Deng, Chenyang Xin, Xiaodong Liu and Witold Pedrycz
2019, 2(1) : 73-81 doi: 10.3934/mfc.2019006 +[Abstract](3484) +[HTML](1103) +[PDF](681.93KB) PDF Downloads(356)
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](6986) +[HTML](2430) +[PDF](1438.97KB) PDF Downloads(355)

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