Integer Programming Problem Formulation Essay Example for Free

Integer Programming Problem Formulation Essay This approach is advantageous compared to SVMs with Gaussian kernels in that it provides a natural construction of kernel matrices and it directly minimizes the number of basis functions. Traditional approaches for data classi? cation , that are based on partitioning the data sets into two groups, perform poorly for multi-class data classi? ca- tion problems. The proposed approach is based on the use of hyper-boxes for de? ning boundaries of the classes that include all or some of the points in that set. A mixed-integer programming model is developed  ¤Computer Scientist, Defence RD Org. , Min of Defence, Delhi-110054. email:[emailprotected] drdo. in, dhamija. [emailprotected] com, a k [emailprotected] com. Home- page:www. geocities. com/a k dhamija/ for representing existence of hyper-boxes and their boundaries. In addition, the relationships among the discrete decisions in the model are represented using propositional logic and then converted to their equivalent integer constraints using Boolean algebra. Image Contrast Enhancement and Image Recon- struction are being used for extracting knowledge from satellite images of the battle? ld or other terrains. This method has already been described in LP problem formulation in I semester assignment. Keywords: Integer linear Programming ,Pattern Classi? cation ,Multi Class data classi? cation , Image Reconstruction ,radial basis function (RBF) classi? ers , sigmoid function , SVM , Kernel and propositional logic 1 Pattern Classification Via Integer linear Programming Given the space in which objects to be classi? ed are represented, a classi? er partitions the space into dis- joint regions and associates them with di ®erent classes. If the underlying distribution is known, an optimal artition of the space can be obtained according to the Bayes decision rule. In practice, however, the underlying distribution is rarely known, and a learning algorithm has to generate a partition that is close to the optimal partition from the training data. The RCE network (1) is a learning algorithm that constructs a set of regions, e. g. , spheres, to represent each pattern class. It is easy to see that, with only a few spheres, there is a great chance that the training error will be high. With an excessively large number of spheres, however, the training error can be reduced, but at the expense of over? ting the data and degrading the performance on future data. Similar problems also exist in the radial basis function (RBF) networks and multi-layer sigmoid function networks. Therefore, a good learning algorithm has to strike a delicate balance between the training error and the complexity of the model. Existing Methods Used Various existing methods like Simulated Annealing , Neural Networks , Genetic algorithms and other classi- ?cation methods of supervised as well as unsupervised learning are being used. 1. 2 Proposed Method : ILP Problem Formulation Given a set of training examples, the minimum sphere overing approach seeks to construct a minimum num- ber of spheres (3) to cover the training examples cor- rectly. Let us denote the set of training examples by D = f(x1; y1); :::; (xn; yn)g where xi 2 Rd and yi 2 f? 1; 1g: For notational simplicity, we only consider the binary classi? cation problem. The task is to ? nd a set of class-speci? c spheres S = S1; :::; Sm such that xi 2 [ y(Sj)=yi Sj and xi =2 [ y(Sj )6=yi Sj ; 8i = 1; :::; n (1) where each sphere Si is characterized by its center c(Si), its radius r(Si) and its class y(Si). An exam- ple xi is covered by a sphere Sj , i. e. , xi 2 Sj , if d(xi; c(Sj))  · r(Sj ). A set of spheres S that satis? es the conditions in Eqn. (1) is called a consistent sphere cover of the data D. A sphere cover is minimal if there exists no other consis- tent sphere cover with a smaller number of spheres. We restrict ourselves to constructing a consistent sphere cover with spheres that are centered on training ex- amples, although in general spheres do not have to be centered on the training examples. In order to mini- mize the number of spheres in the sphere cover S, each sphere in S should cover as many training examples as possible without covering a training example belonging to a di ®erent class.

Addiction to Drugs and Alcohol Essay -- Drugs, Alcohol Essays

There are many affects that drugs and alcohol can have on the body, and on the life of a person. Thousands of jobs, homes, and families are lost annually through the addictions of drugs and alcohol. Children grow up without parents, spouses are forced to raise their children as single parents, and grandparents become legal guardians for a second time, due to the effects of substance abuse and dependence. Exactly how addiction is defined and diagnosed is an on-going issue and one that will be discussed in this paper. While there are eleven different categories that substances are arranged, this paper will be focusing specifically on alcohol and cannabis. An estimated 126 million Americans over the age of 12 reported being ongoing alcohol drinkers in 2005 (Smith & Stevens, 2009). According to the Treatment Episode Data Set (TEDS), over 42 thousand homeless adults over the age of 50 were admitted to substance abuse treatment in 2008, and sixty five percent were being treated for alcohol abuse (TEDS, 2010). Excessive alcohol consumption may have been accepted in the beginning of the twentieth century, but currently, a male who consumes more than 14 drinks in a week or more than four drinks day, and a woman who has more than 13 drinks a week 3 drinks on a day, is considered â€Å"at risk† of being an alcoholic (Burge & Schneider, 1999). Cannabis, better known as marijuana, is the most abused illegal drug in America (Smith & Stevens, 2009). It also had the highest level of abuse and dependence in 2005 with over 4.1 million people affected (National Institute on Drug Abuse, 2006). Marijuana is usually smoked as a cigarette, known also as a joint or blunt, and is also used in a pipe or bong. There is a more potent and unpoll... ... Mendelson, J., & Mello, N. (Eds.). (1985). The diagnosis and treatment of alcoholism. New York: McGraw-Hill. National Institute on Drug Abuse, (2006). Marijuana. Bethesda, MD: Author. Retrieved August 11, 2010, from http://drugabuse.gov/infofacts/marijuana.html Smith, R.L. & Stevens, P. (2009). Substance abuse and counseling. Theory and Practice. (4th ed.). Upper Saddle River, New Jersey: Pearson. U.S. Department of Health and Human Services (2007). The Surgeon General's Call to Action to Prevent and Reduce Underage Drinking. U.S. Department of Health and Human Services, Office of the Surgeon General. Retrieved from http://www.cdc.gov/HealthyYouth/alcoholdrug/index.htm US Department of Justice (1988). Drug Enforcement Administration, "In the Matter of Marijuana Rescheduling Petition" (Docket #86-22). Retrieved from http://drugwarfacts.org/cms/?q=node/30

Forecasting the Adoption of E-Books Essay

The size of the market for e-books in the long-run: 293.7 million x 46.7% x 8% = 10.973 million (Total US population x percentage of US population reading literature x Percentage of traditional paper books purchased online in 2003) It will take 10 years to reach 95% penetration of the potential market. Question 2 I predict that the sale of the e-book when it first became available is 0.751milion (pm) (Assumption: each innovator buy one book.) Question 3 The long-run total adoption of e-books would be 10.973 million. (Total US population x percentage of US population reading literature x Percentage of traditional paper books purchased online in 2003) Question 4 I do expect the market for e-books tend to be guided by imitators rather than innovators. According to the table above, I found that the weighted average for e-book of q (0.0684) is larger than p (0.2990). In addition, the word of mouth takes an important role in the adoption of e-books. The information about the e-book from the innovators contribute much to the adoption of e-books since people tend to hesitate to change their old reading habit. Question 5 S(t)=[p+(q/m)N(t-1)][m-N(t-1)] Year 1: [0.0684+(0.2990/10.973) X (0)][10.973-0] = 0.751 million Year 2: [0.0684+(0.2990/10.973) X (0.751)][10.973-0.751] = 0.908 million Year 3: [0.0684+(0.2990/10.973) X (1.659)][10.973-1.659] = 1.059 million Year 4: [0.0684+(0.2990/10.973) X (2.717)][10.973-2.717] = 1.176 million Year 5: [0.0684+(0.2990/10.973) X (3.893)][10.973-3.893] = 1.235 million Question 6 The adoption of e-book will be very different from digital music obtained online. The adoption of e-books face more challenges when comparing to the adoption of digital music. To most of the listeners, there is not much difference in experience between listening to a song from an iPod and a CD player. Therefore, they have a relatively low switching cost and more willing to change their habits. On the contrary, to most of the readers, it is definitely very different from reading an e-book to reading a printed book. The feelings of holding a printed book and flipping over a physical book are irreplaceable. So readers are loyal to printed book and hesitate to switch from traditional books to e-books. Hence, it is reasonable to predict that the pace of adopting digital music is faster than the pace of adopting e-books. Question 7 I think both of the attitudes about reading and purchasing e-content have changed a lot in recent years. In the old time, people could read e-content via PC only. Nowadays, people are able to read e-content through various mobile devices. Therefore, they spend more time on reading e-content especially during leisure time and even commuting time. However, the quality of the reading effort is diminishing as the overload of e-content available on Internet. In addition, people tend to rely more on the e-content since it is very convenient, environmentally friendly, high mobility and high accessibility. For the attitude about purchasing e-content, more people are willing to pay for the e-content in recent years. The advanced online payment system plays an important role. People feel more secure and also convenient when dealing online ever than before. Moreover, more well-known and large-scale publishers offer more choices of e-content for readers. Besides, in the light of the prevalent of mobile device, people have more time and chances to read the e-content regardless of the time and places. Thus, people are more willing to spend on e-content than before. Question 8 The hardware plays a paramount important role in the adoption of e-books. No matter how amazing the e-content is, the e-books would not be popularized if the hardware were not user-friendly. However, a good hardware is very likely to boost sales of the e-books. It is because the hardware is a fixed cost while the e-books are the variable cost to the readers. A portable hardware with proper size of monitor and high capacity is very attractive to the readers. They no longer need to neither carry the bulky printed books nor spare some places for storage. Moreover, the hardware enables readers to read comfortably when comparing to read via PC or smart phone. It is good for the readers’ eyes. Last but not least, the hardware contributed to protecting the environment as it saves much paper. Only when the hardware preforms better than the tradition printed books, the adoption of e-books will be success. Question 9 I do expect the size and also the pattern of diffusion are quite different globally as compared to the United States. The size and the pattern of diffusion depend on many factors. Population, culture, attitude to new products, technology and even literacy could be one of the variables of the size and pattern of diffusion. Take Africa as an example; though the population size of Africa is much larger than The United States, the potential size of the market for e-books must be obviously different from the United States. So it is not difficult to understand that the size and pattern of diffusion of various places will not be similar to the United States.

Effects Of Social Media On A Job Seeker From Their Sick...

This made it illegal for employers to exclude pregnancy and childbirth from their sick leave and health benefits plans. But what policies are currently in place to protect a job seeker from social media discrimination by an inquisitive employer who using the findings in a damaging way. Rosemary Haefner, vice president of human resources at CareerBuilder, states, â€Å"Because social media is a dominant form of communication today, you can certainly learn a lot about a person by viewing their public, online personas†¦however, hiring managers and human resources departments have to make a careful, determined decision as to whether information found online is relevant to the candidates’ qualifications for the job.† Only a few years ago, employers reacted quickly (and perhaps hastily) to the development of social media and their employees’ use of social media. Initial policies were restrictive and negative basically not allowing the use of social media sites by employees at all possibly limiting the growth of the company. Recognizing employees’ increased use of social media as a business and networking tool, however, the typical employer’s reaction to employee use of social media shifted and tempered to some degree. Now, the typical social media policy provides employees with guidance on ‘‘best practices’’ for postings on the internet, whether such postings occur on a social media site, a blog, or any other public or private forum on the internet. Despite the problems created by theShow MoreRelatedBaderman Island Organization Staffing Strategies Paper4211 Words   |  17 Pagesthe Baderman purchased twenty-six hundred acres of farmland around the Kelsey river valley. The Baderman farmhouse is built on 1600 acres of land nearly surrounded by a long bend in the Kelsey River. 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