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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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Unconstrained $ \ell_1 $-$ \ell_2 $ minimization for sparse recovery via mutual coherence
Pengbo Geng and Wengu Chen
2020, 3(2) : 65-79 doi: 10.3934/mfc.2020006 +[Abstract](171) +[HTML](89) +[PDF](509.47KB)
A triple mode robust sliding mode controller for a nonlinear system with measurement noise and uncertainty
Nasim Ullah and Ahmad Aziz Al-Ahmadi
2020, 3(2) : 81-99 doi: 10.3934/mfc.2020007 +[Abstract](172) +[HTML](100) +[PDF](1352.69KB)
Weaving K-fusion frames in hilbert spaces
Hanbing Liu, Yongdong Huang and Chongjun Li
2020, 3(2) : 101-116 doi: 10.3934/mfc.2020008 +[Abstract](173) +[HTML](134) +[PDF](390.18KB)
Multivariate weighted kantorovich operators
Ana-Maria Acu, Laura Hodis and Ioan Rasa
2020, 3(2) : 117-124 doi: 10.3934/mfc.2020009 +[Abstract](174) +[HTML](95) +[PDF](326.7KB)
Homography estimation along short videos by recurrent convolutional regression network
Yang Mi, Kang Zheng and Song Wang
2020, 3(2) : 125-140 doi: 10.3934/mfc.2020014 +[Abstract](177) +[HTML](104) +[PDF](3671.01KB)
Modeling interactive components by coordinate kernel polynomial models
Xin Guo, Lexin Li and Qiang Wu
2020doi: 10.3934/mfc.2020010 +[Abstract](149) +[HTML](77) +[PDF](422.79KB)
Network centralities, demographic disparities, and voluntary participation
Qiang Fu, Yanlong Zhang, Yushu Zhu and Ting Li
2020doi: 10.3934/mfc.2020011 +[Abstract](142) +[HTML](76) +[PDF](1013.89KB)
Aims: Average information matrix splitting
Shengxin Zhu, Tongxiang Gu and Xingping Liu
2020doi: 10.3934/mfc.2020012 +[Abstract](121) +[HTML](69) +[PDF](304.51KB)
Sketch-based image retrieval via CAT loss with elastic net regularization
Jia Cai, Guanglong Xu and Zhensheng Hu
2020doi: 10.3934/mfc.2020013 +[Abstract](137) +[HTML](73) +[PDF](373.09KB)
Summation of Gaussian shifts as Jacobi's third Theta function
Shengxin Zhu
2020doi: 10.3934/mfc.2020015 +[Abstract](50) +[HTML](17) +[PDF](289.8KB)
Modal additive models with data-driven structure identification
Tieliang Gong, Chen Xu and Hong Chen
2020doi: 10.3934/mfc.2020016 +[Abstract](54) +[HTML](29) +[PDF](630.92KB)
Averaging versus voting: A comparative study of strategies for distributed classification
Donglin Wang, Honglan Xu and Qiang Wu
2020doi: 10.3934/mfc.2020017 +[Abstract](57) +[HTML](30) +[PDF](258.9KB)
Support vector machine classifiers by non-Euclidean margins
Ying Lin and Qi Ye
2020doi: 10.3934/mfc.2020018 +[Abstract](68) +[HTML](44) +[PDF](2042.57KB)
The nonexistence of global solution for system of q-difference inequalities
Yaoyao Luo and Run Xu
2020doi: 10.3934/mfc.2020019 +[Abstract](82) +[HTML](42) +[PDF](259.39KB)
Sparse regularized learning in the reproducing kernel banach spaces with the $ \ell^1 $ norm
Ying Lin, Rongrong Lin and Qi Ye
2020doi: 10.3934/mfc.2020020 +[Abstract](100) +[HTML](38) +[PDF](443.48KB)
A fast matching algorithm for the images with large scale disparity
Shichu Chen, Zhiqiang Wang and Yan Ren
2020doi: 10.3934/mfc.2020021 +[Abstract](68) +[HTML](19) +[PDF](921.39KB)
An RKHS approach to estimate individualized treatment rules based on functional predictors
Jun Fan, Fusheng Lv and Lei Shi
2019, 2(2) : 169-181 doi: 10.3934/mfc.2019012 +[Abstract](1163) +[HTML](486) +[PDF](362.21KB) Cited By(1)
Sketch-based image retrieval via CAT loss with elastic net regularization
Jia Cai, Guanglong Xu and Zhensheng Hu
2019, 0(0) : 0-0 doi: 10.3934/mfc.2020013 +[Abstract](137) +[HTML](73) +[PDF](373.09KB) Cited By(0)
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](1365) +[HTML](336) +[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](1058) +[HTML](527) +[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](2849) +[HTML](1653) +[PDF](1868.4KB) Cited By(0)
Weaving K-fusion frames in hilbert spaces
Hanbing Liu, Yongdong Huang and Chongjun Li
2020, 3(2) : 101-116 doi: 10.3934/mfc.2020008 +[Abstract](173) +[HTML](134) +[PDF](390.18KB) 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](952) +[HTML](462) +[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](1538) +[HTML](680) +[PDF](477.87KB) Cited By(0)
Unconstrained $ \ell_1 $-$ \ell_2 $ minimization for sparse recovery via mutual coherence
Pengbo Geng and Wengu Chen
2020, 3(2) : 65-79 doi: 10.3934/mfc.2020006 +[Abstract](171) +[HTML](89) +[PDF](509.47KB) 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](3544) +[HTML](1465) +[PDF](994.72KB) 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](20572) +[HTML](9826) +[PDF](3282.55KB) PDF Downloads(2748)
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](9496) +[HTML](6608) +[PDF](1032.13KB) PDF Downloads(796)
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](6884) +[HTML](3630) +[PDF](2792.87KB) PDF Downloads(671)
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](7414) +[HTML](4733) +[PDF](5025.25KB) PDF Downloads(666)
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](2849) +[HTML](1653) +[PDF](1868.4KB) PDF Downloads(407)
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](5427) +[HTML](2141) +[PDF](1438.97KB) PDF Downloads(214)
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](6713) +[HTML](3201) +[PDF](902.32KB) 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](3659) +[HTML](1241) +[PDF](649.23KB) PDF Downloads(185)
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](1116) +[HTML](298) +[PDF](5616.33KB) PDF Downloads(176)
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](5574) +[HTML](2394) +[PDF](609.18KB) PDF Downloads(170)

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