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How do you implement svm algorithm in matlab?
There is a lot of information on the net about SVMs, and some matlab toolboxes contain the implemented code (i.e. SPIDER). Also look into "svmclassify and svmtrain" on matlab which seems to be a part of the Bioinformatics Toolbox. You can find good tutorials on VC Dimension and SVMs at http://www.autonlab.org/tutorials If you want to look at some brief matlab code, check out: Technical Report: "Support Vector Machines for Classification and Regression" by Steve R. Gunn from the University of Southampton (1998).
What is the difference between statistician and a probabilist?
I'm not sure a probablist is a correct term. I would like to consider the difference between a statistician and a specialist in probability theory. The short answer is the statistician works with data while the specialist in probability theory works more with individual assumed or known probabilities. Here's the longer answer: The statistician typically is seeking to draw conclusions from collected data. The discipline of statistics includes all phases of a study, from design, collection, analysis, and presentation. A statisician however, may also try to improve the methods of analysis, so he will be involved in probability theory. The statistician may work in many fields, including medicine, epidemiology, pharmacy (tests of new drugs), engineering, insurance, sociology, marketing. The specialist in probability theory (or probability theorist) may draw conclusions from an understanding or reasonable assumptions of the outcome of a system or probability of events from an understanding of the probability of underlying components. This might sound a bit complicated, but the specialist can tell you how much you can expect to lose if you play the lottery, or any other game of chance. He does this by knowing the probabilities of the underlying event of chosing a winning number. The related link mentions two area of applications: risk analysis and commodities trading. More broadly, the areas of probability analysis using both Monte-Carlo simulation and analytical means, have applications in many areas environmental systems, operations research applications, valuation of financial derivatives involving risk, and more recently, stochastic simulation of chemical reactions and bioinformatics (computer related work with DNA). Please check the related links. You can find much more from links on the internet.
List all jobs that use math?
It would probably be easier to list all the jobs that don't require math. Certainly, most jobs today do not require a high level of mathematics. Use of calculators and spreadsheets have made it much easier for people without good math skills to find work. Everyone should know how to use a calculator. The cashier in a store, the janitor, the gardener, the parking garage attendent and many other professions handle money and so basic counting skills are needed. Those involved in business will need to know how to keep a ledger, and compute profitability of their businesses. However, many careers in scientific, technical and engineering areas require high level education in mathematics. Research organizations and universities frequently require MS or PhD in the particular profession as a minimum requirement, in part, to assure that their staff has the necessary skills in mathematics. I will name some areas, that high level of mathematics is necessary: Astrophysics Bioinformatics, genetic research Engineering - mechanical, nuclear, industrial, chemical, petroleum, mining, civil engineering (structural and environmental eng) , bioengineering, operations research, materials, ocean engineering, architecture Statistician- interacting with scientists in many areas, including quality control, market research, economic research, and health fields. Medicine, pharmarcy, health care and epidemiology Economist, financial analyst, econometrics Scientists- biology, chemistry and physics, and many specialities such as geophysics, environmental scientist, climatology. Electronics, computer scientists, animation. So, math plays a role in many professions. Perhaps not everyone in these professions have a high level of mathematics, but these areas, particularly within research and educational groups require high mathematic skills.
