397 Result(s)
within
English
Mathematics
**hu Zhu
Chapter
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Chapter and Conference Paper
House Price Prediction Using XG-Boost Grid Search and Cross-Validation Methods
The primary factors influencing the variation in housing prices in different locations are the characteristics of the housing and the conditions of the area. This study will utilize the popular machine learnin...
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High-Jet Relations of the Heat Kernel: Embedding Map and Applications
For any compact Riemannian manifold (M, g) and its heat kernel embedding map \(\psi_t :M \to l^2\) ...
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Conclusion
As we are approaching the end of the description of this stage of our interdisciplinary collaboration, a look back may help the reader to obtain a more global view of the material provided in this monograph an...
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Chapter and Conference Paper
A Subcell Limiting Based on High-Order Compact Nonuniform Nonlinear Weighted Schemes for High-Order CPR Method
This paper further investigates the subcell limiting approach based on compact nonuniform nonlinear weighted (CNNW) schemes for high-order correction procedure via reconstruction (CPR) method. A special subcel...
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Chapter and Conference Paper
Logarithmic Adic Spaces: Some Foundational Results
We develop a theory of log adic spaces by combining the theories of adic spaces and log schemes, and study the Kummer étale and pro-Kummer étale topology for such spaces. We also establish the primitive compar...
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Chapter and Conference Paper
Algorithms and Hardness for the Longest Common Subsequence of Three Strings and Related Problems
A string is called a square (resp. cube) if it is in the form of \(XX=X^2\) (resp. ...
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Introduction
This monograph gives a concise exposition of our recent industry-academic collaboration on a general framework of portfolio theory. In particular, it contains our new results on portfolio problems involving mu...
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Efficient Portfolios for Vector Risk Functions
In the last chapter, we presented a thorough outline of the general framework of portfolio theory for abstract, scalar-valued risk and utility functions.
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Chapter and Conference Paper
Applications of Fokker Planck Equations in Machine Learning Algorithms
As the continuous limit of the gradient-based optimization algorithms, Fokker Planck (FP) equation can provide a qualitative description of the algorithm’s behavior and give principled theoretical insight into...
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Addressing Dataset Shift for Trustworthy Deep Learning Diagnostic Ultrasound Decision Support
Ultrasound (US) is the most widely used medical imaging modality due to its low cost, portability, real time imaging ability and use of non-ionizing radiation. However, unlike other imaging modalities such as ...
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Chapter
System Reliability Models with Random Shocks and Uncertainty: A State-of-the-Art Review
Reliability evaluation is an important task in safety–critical applications. The failure of a system is generally caused by random shocks resulting from adverse events or internal degradations. This chapter th...
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Sarason’s Ha-plitz Product Problem
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Chapter
Fundamental Graph Neural Networks
As the most representative GNNs, convolutional graph neural networks generalize the operation of convolution from grid data to graph data, falling into two categories, spectral based (from the perspective of g...
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Chapter
Computational Thermal Multi-phase Flow for Metal Additive Manufacturing
Thermal multi-phase flow simulations are indispensable to understanding the multi-scale and multi-physics phenomena in metal additive manufacturing (AM) processes, yet accurate and robust predictions remain ch...
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Chapter and Conference Paper
Hierarchical Machine Unlearning
In recent years, deep neural networks have enjoyed tremendous success in industry and academia, especially for their applications in visual recognition and natural language processing. While large-scale deep m...
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Chapter
On Asymptotic Stability of Boussinesq Equations Without Heat Conduction
This is a survey paper on our recent results concerning the asymptotic stability of certain stationary solution to Boussinesq equations without heat conduction. It is shown that the solution starting from init...
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Efficient Portfolios for Scalar Risk Functions
In this chapter, we carefully develop a general framework of portfolio theory involving a scalar risk. This will establish a foundation for our central result on a portfolio theory involving multiple risks (or...
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Chapter
Application Examples
The theory that we have developed in the previous chapters can be applied to several management problems, coming from corporations, individuals, or governments. The manager has to balance profit with more than...
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Chapter
Machine Learning-Based Rumor Controlling
In the management of business or political battle, the rumor or disinformation is an important issue to be dealt with. Especially, with the rise of Web 2.0, online social networks (OSN) have been an important ...
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Chapter
Evaluating the Risk of Reopening the Border: A Case Study of Ontario (Canada) to New York (USA) Using Mathematical Modeling
Many countries have adopted border closures and other jurisdictions (provinces, states, cities, etc.) to control the spread of SARS-CoV-2. Such measures have significantly restricted population movement and ha...
