Generic Regular Decompositions for Parametric Polynomial Systems

This paper presents a generalization of our earlier work in [19]. In this paper, the two concepts, generic regular decomposition (GRD) and regular-decomposition-unstable (RDU) variety introduced in [19] for generic zero-dimensional systems, are extended to the case where the parametric systems are not necessarily zero-dimensional. An algorithm is provided to compute GRDs and the associated RDU varieties of parametric systems simultaneously on the basis of the algorithm for generic zero-dimensional systems proposed in [19]. Then the solutions of any parametric system can be represented by the solutions of finitely many regular systems and the decomposition is stable at any parameter value in the complement of the associated RDU variety of the parameter space. The related definitions and the results presented in [19] are also generalized and a further discussion on RDU varieties is given from an experimental point of view. The new algorithm has been implemented on the basis of DISCOVERER with Maple 16 and experimented with a number of benchmarks from the literature.Comment: It is the latest version. arXiv admin note: text overlap with arXiv:1208.611

Variable Selection In Big Data With Applications To Develop A New Epigenetic Clock

Big data is known for 5V\u27s: (1) volume with huge quantity/amount (large n) and/or large number of variables (large p), (2) variety with various type, nature, and format, (3) velocity with ultra-high speed of data generation/collection, (4) veracity for its trustworthiness and quality of big data, and (5) value for its insights, usefulness and impact. Current computational resources, traditional methodologies and techniques are hard to keep up with the extraordinary volume of data being generated. Therefore, it is challenging to extract useful information from the big data with current computational resources. In this dissertation, we propose procedures to address some of the issues raised with several strategies for some modern variable selection procedures. In particular, we are evaluating various procedures (1) random sub-sampling so that the sub-data will be similar to the original big data, (2) random rows partitions so that all data will be included, (3) random columns partitions to reduce the dimension size for feasible model building and/or variable selection while all columns can be included, (4) random matrix partitions is a natural extension using both row partition and column partition . Results from each proposed procedure can be combined via some ensemble methods.In aging biomarker study, methylation of cytosine residues of cytosine-phosphate-guanine dinucleotides (CpGs) shows strong associations with aging. Several such epigenetic clocks are proposed in the literature. Hannum clock (2013) with 71 CpGs Horvath clock (2013) with 353 CpGs, Levine clock (2015), and GrimAge clock (2019) with 1,030 CpGs. We will demonstrate that our proposed procedures can be useful in this research area to build a simpler but useful model for ultra-high dimension data. In our study, a total of 2640 SJLIFE participants of European ancestry were included, consisting of 2112 SJLIFE childhood cancer survivors as training data and a separate 528 cancer survivors as validation data. The data includes 689,414 CpGs. This is a clear example of large p (p=689,414) and the sample size n is much smaller. We demonstrate that we can indeed develop a new DNA methylation-based epigenetic clock with much smaller of CpG sites using the proposed procedures

Feasibility study on the application of carbon dioxide phase change fracturing technology in a foundation pit of an open cut tunnel

Carbon dioxide phase change fracturing technology is a brand-new and efficient cracking and tunneling technology. Because the method utilizes the change of carbon dioxide state, it belongs to a pure physical process. By adjusting the release rate of gaseous substances, it can effectively control the pressure of the gas, and achieve micro vibration, zero flying stone, zero toxic gas emission, and no micro harmful effect of shock wave, but the application of carbon dioxide phase change cracking technology in urban foundation pit excavation is less. In this paper, through the analysis of three different cracking parameters of urban foundation pit excavation process, it is found that when the diameter of the cracked pipe is 85 mm, the construction safety can be guaranteed. In addition, according to the on-site cracking effect, the carbon dioxide phase change cracking technology is a safe, reliable, relatively economical and efficient excavation technology under urban complex environmental conditions, and will not affect the surrounding environment during use, but Its cracking efficiency has a great relationship with the air surface

Exploring Approaches to Integrating Global Competency Education in Chinese High School English Classrooms-Based on the background of PISA Analysis

Based on the background of PISA analysis, the paper aims to explore suitable approaches to integrating global competency education into Chinese high school English classroom. The paper first introduces several important concepts including global competency、 PISA (Program for International Student Assessment) and its background analysis, then takes Chinese high school English classrooms as the entry point to explore the necessity and feasibility of integrating global competency education with Chinese high school English, and finally summarizes the realistic approaches of integration combined with the international implementation of global competency education. The approaches are that 1) English teaching should focus on global issues and conduct thematic exploration. 2) English teaching should carry out“invitation style” subject integration. 3) English teaching should enrich teaching strategies and adopt multi-perspective teaching method

Developing a Drought Planning Evaluation System in the United States

Drought is a normal part of the climate cycle, affecting every climate regime on the planet. Drought indicates a special period in which an unusual moisture scarcity causes a serious hydrological imbalance. Drought is related to the timing and effectiveness of the rains, high temperature, high wind, and low humidity. The typical impacts of drought may include dry lands, low or empty water-supply reservoirs, low groundwater levels (dried up wells), crop damage, and ensuing environmental degradation. In the United States, drought accounts for losses in the billions of dollars. In fact, a FEMA (1995) report estimates the average annual losses due to drought at $6-8 billion, on a par with hurricanes, making these the two most costly hazards impacting our country. Drought often affects several sectors (agriculture, recreation and tourism, energy, forestry, and others) at the same time and typically impacts large areas and many people. These impacts serve as indicators of our vulnerability and risk during extended periods of rainfall deficits. Our vulnerability to drought is affected by (among other factors) population growth and shifts, urbanization and sprawl, demographic characteristics, technology, water use trends, government policy, social behavior, and environmental awareness. These factors are continually changing, and society\u27s vulnerability to drought can increase or decrease in response to these changes. Although drought is a natural hazard, society can reduce its vulnerability and therefore lessen the risks associated with drought episodes. The impacts of drought, like those of other natural hazards, can be reduced through mitigation and preparedness. Planning ahead in an attempt to mitigate drought gives decision makers the chance to relieve the most suffering at the least expense. Reacting to drought in crisis mode decreases self-reliance and increases dependence on government and donors (Wilhite and Pulwarty, 2005). As a proof of concept approach, this paper looks into the process of comparing and evaluating state drought plans within the United States. The idea of evaluating (scoring) drought plans may be new, but similar methods have been applied to other hazards and in other planning fields, such as the environmental and urban/rural planning sectors (Baer 1997; Berke 2000; Brody 2003; Tang et a\. 2008). Even so, the planning profession itself has developed relatively few criteria for evaluating the quality of plans, so plan quality is difficult to define (Baer 1997). Now, and in a changing climate with changing vulnerabilities, Brody (2003) aptly notes that planners must be flexible, adapting and planning for changing conditions by gearing their efforts more toward uncertainty and surprise. Thus, the purpose of this paper is to assess the potential transferability of evaluation techniques in other fields and hazards to the evaluation of drought plans in the United States

Developing a Drought Planning Evaluation System in the United States

Drought is a normal part of the climate cycle, affecting every climate regime on the planet. Drought indicates a special period in which an unusual moisture scarcity causes a serious hydrological imbalance. Drought is related to the timing and effectiveness of the rains, high temperature, high wind, and low humidity. The typical impacts of drought may include dry lands, low or empty water-supply reservoirs, low groundwater levels (dried up wells), crop damage, and ensuing environmental degradation. In the United States, drought accounts for losses in the billions of dollars. In fact, a FEMA (1995) report estimates the average annual losses due to drought at $6-8 billion, on a par with hurricanes, making these the two most costly hazards impacting our country. Drought often affects several sectors (agriculture, recreation and tourism, energy, forestry, and others) at the same time and typically impacts large areas and many people. These impacts serve as indicators of our vulnerability and risk during extended periods of rainfall deficits. Our vulnerability to drought is affected by (among other factors) population growth and shifts, urbanization and sprawl, demographic characteristics, technology, water use trends, government policy, social behavior, and environmental awareness. These factors are continually changing, and society\u27s vulnerability to drought can increase or decrease in response to these changes. Although drought is a natural hazard, society can reduce its vulnerability and therefore lessen the risks associated with drought episodes. The impacts of drought, like those of other natural hazards, can be reduced through mitigation and preparedness. Planning ahead in an attempt to mitigate drought gives decision makers the chance to relieve the most suffering at the least expense. Reacting to drought in crisis mode decreases self-reliance and increases dependence on government and donors (Wilhite and Pulwarty, 2005). As a proof of concept approach, this paper looks into the process of comparing and evaluating state drought plans within the United States. The idea of evaluating (scoring) drought plans may be new, but similar methods have been applied to other hazards and in other planning fields, such as the environmental and urban/rural planning sectors (Baer 1997; Berke 2000; Brody 2003; Tang et a\. 2008). Even so, the planning profession itself has developed relatively few criteria for evaluating the quality of plans, so plan quality is difficult to define (Baer 1997). Now, and in a changing climate with changing vulnerabilities, Brody (2003) aptly notes that planners must be flexible, adapting and planning for changing conditions by gearing their efforts more toward uncertainty and surprise. Thus, the purpose of this paper is to assess the potential transferability of evaluation techniques in other fields and hazards to the evaluation of drought plans in the United States

A Computational Cognitive Model of User Applying Creativity Technique in Creativity Support Systems

AbstractNumerous creativity techniques have been purposed and applied in creativity support system. Because most creativity techniques are used informally and hardly represented formally in computer, it becomes very difficult to build the computational cognitive model of user applying those techniques. However the model is necessary for creativity support systems to detect or predict the change of user's cognitive state in time and make some adaption to avoid inhibiting creativity of user. In this paper we introduce extension creative idea generation method which has the characteristics of formalization and systematization. The method can be represented by extension rules which provide the precondition to build computational cognitive model of user in creativity support systems. The computational cognitive model of user learning in applying extension creative idea generation method is presented through experiments. The experimental results show how and when the user will develop the application skill of creativity technique and inhibit his creativity