Proceedings of the Second International Forum on Financial Mathematics and Financial Technology (Financial Mathematics and Fintech)

This series addresses the emerging advances in mathematical theory related to finance and application research from all the fintech perspectives. It is a series of monographs and contributed volumes focusing on the in-depth exploration of financial mathematics such as applied mathematics, statistics, optimization, and scientific computation, and fintech applications such as artificial intelligence, block chain, cloud computing, and big data. This series is featured by the comprehensive understanding and practical application of financial mathematics and fintech. This book series involves cutting-edge applications of financial mathematics and fintech in practical programs and companies. The Financial Mathematics and Fintech book series promotes the exchange of emerging theory and technology of financial mathematics and fintech between academia and financial practitioner. It aims to provide a timely reflection of the state of art in mathematics and computer science facing to the application of finance. As a collection, this book series provides valuable resources to a wide audience in academia, the finance community, government employees related to finance and anyone else looking to expand their knowledge in financial mathematics and fintech. Preface Contents On the Development of Fintech in Asia 1 Overview of Global Fintech Development 1.1 Development Dynamics 1.2 The Financing Profile 1.3 Regulatory Environment 1.4 The Models of Fintech Development 1.5 Spatial Layout 2 Practice of Fintech Development in Asia 2.1 China—The Fintech Has Been Promoted to the Worlds Leading Level 2.2 Japan—Boosting the Rapid Growth of Fintech Through Advantages of Backwardness 2.3 Singapore—Gathering Innovative Resources with a Relaxed and Inclusive Atmosphere 2.4 South Korea—Promoting Scale Development of Fintech Industry by Fanning Out From Point to Area 2.5 KazakhstanCDigital Transformation Speeds Up the Construction of Central Asian Fintech Hub 2.6 India—Potential for Fintech Development Has Been Gradually Exerted 2.7 Israel—Guidance Plus Service to Create a Highland for the Development of Fintech 2.8 Indonesia—A Rising Star of Fintech Development in Southeast Asia 2.9 Hong Kong of China—The Government Assists the Strong Development of Fintech A Probability Inequality with Application to Lattice Theory 1 Introduction 2 Main Results 3 Conclusions References Robust Identification of Gene-Environment Interactions Under High-Dimensional Accelerated Failure Time Models 1 Introduction 2 Methods 2.1 Data and Model Settings 2.2 Robust Estimation and Identification 2.3 Computation 2.4 Consistency Properties 3 Simulations 4 Analysis of the TCGA Lung Adenocarcinoma Data 5 Discussions References A Novel Approach for Improving Accuracy for Distributed Storage Networks 1 Introduction 2 Related Works 2.1 Audit Research 2.2 Distributed Storage Project 3 Audit Algorithm 3.1 An Audit Framework 3.2 Data Uploading 3.3 Self-integrity Verification 3.4 Data Owner's Integrity Verification 3.5 The Game of Miners Versus Storage Networks 4 Fault-Tolerance Verification 5 Concluding Remarks References Iterative Learning Control Based on Random Variance Reduction Gradient Method 1 Introduction 1.1 Background 1.2 Design and Analysis of SVRG-Based ILC 1.3 Main Work and Organization 2 SVRG-Based ILC Framework 2.1 System Description 2.2 Algorithm Design 2.3 Convergence Analysis 3 SVRG-Based ILC Under Random Data Dropouts 3.1 System Description 3.2 Algorithm Design 3.3 Convergence Analysis 3.4 Numerical Simulation 4 Model-Free SVRG-Based ILC for MIMO Systems 4.1 System Description 4.2 Algorithm Design 4.3 Convergence Analysis 4.4 Numerical Simulation 5 Conclusions References A Generalization of NTRUEncrypt 1 φ-Cyclic Code 2 A Generalization of NTRUEncrypt References Cyclic Lattices, Ideal Lattices, and Bounds for the Smoothing Parameter 1 Discrete Subgroup in mathbbRn 2 Ideal Matrices 3 Cyclic Lattices and Ideal Lattices 4 Smoothing Parameter References On the LWE Cryptosystem with More General Disturbance 1 Introduction 1.1 Innovation and Contribution 2 Methodology 2.1 Preliminary Property 2.2 Probability of Decryption Error Based on Gaussian Disturbance 2.3 Probability of Decryption Error for General Disturbance 3 Results and Conclusions 4 Discussions 4.1 Future Work References On the High Dimensional RSA Algorithm—A Public Key Cryptosystem Based on Lattice and Algebraic Number Theory 1 Introduction 2 Ideal Matrices 3 High Dimensional RSA 4 Security and Example References Central Bank Digital Currency Cross-Border Payment Model Based on Blockchain Technology 1 Introduction 2 CBDC Cross-Border Payment Development Current Situation 3 Polkadot Technology Overview 3.1 Relay Chain and Parachain Technology 3.2 Polkadot Cross-Chain Technology 4 CBDC Cross-Border Payment Model 4.1 Design of Parachain 4.2 Design of Relay chain 4.3 Cross-Chain Transaction 4.4 Privacy Protection 5 CBDC Cross-Border Payment Model Architecture 6 Summary and Prospect References LLE Based K-Nearest Neighbor Smoothing for scRNA-Seq Data Imputation 1 Introduction 2 Materials and Methods 2.1 The K-Nearest Neighbor Smoothing Algorithm 2.2 Locally Linear Embedding 3 Results 3.1 Availability of Data 3.2 Data Processing and Visualization 3.3 Performance Evaluation 4 Conclusions References The Application of Time Series Analysis in the Fiscal Budget Variance of China 1 Introduction 2 A General View on Budget Data 2.1 Introduction to Concept and Data Source 2.2 Descriptive Analysis of Budget Variance 2.3 Descriptive Analysis of Budget Execution 3 Overview of Time Series Analysis Techniques 3.1 Decomposition of Time Series 3.2 ARIMA (p,d,q) 3.3 SARIMA (p,d,q) (P,D,Q)s 4 Modeling of Budget Variance 4.1 Prediction of Budget Execution 4.2 Prediction of Budget Variance 5 Conclusion References This open access book is the documentary of the Second International Forum on Financial Mathematics and Financial Technology, with focus on selected aspects of the current and upcoming trends in FinTech. In detail, the included scientific papers cover financial mathematics and FinTech, presenting the innovative mathematical models and state-of-the-art technologies such as deep learning, with the aim to improve the financial analysis and decision-making and enhance the quality of financial services and risk control. The variety of the papers delivers added value for both scholars and practitioners where they will find perfect integration of elegant mathematical models and up-to-date data mining technologies in financial market analysis. Due to COVID-19, the conference was held virtually on August 13–15, 2021, jointly held by the School of Mathematics of Renmin University of China, the Engineering Research Center of Financial Computing and Digital Engineering of Ministry of Education, the Statistics and Big Data Research Institute of Renmin University of China, the Blockchain Research Institute of Renmin University of China, the Zhongguancun Internet Finance Research Institute, and the Renmin University Press.