OIT Mathematics Colloquium



                                                                                                      Winter 2019 Schedule                                                                                                       

January 24, 2019
4:00 PM - 5:00 PM
OW 222
Dr. Peter Overholser, Dept. of Mathematics, OIT Artificial Neural Networks and Applications - Artificial neural networks have experienced a dramatic increase in effectiveness and prominence over the past decade.  I will give a brief description of an artificial neural network, discuss several basic architectures, and show some implementations.  Particular attention will be given to an application known as word2vec.  As I am just beginning to explore these topics myself, the treatment will be very accessible.

February 11, 2019
4:00 PM - 5:00 PM
OW 222

Prof. Pat Schaeffer, Dept. of Management, OIT

Factorial Designed Experiments Using Minitab Statistical Software for Laser Weld Process Robustness - Factorial Experiments are orthogonal, statistically designed experiments most often applied in engineering and science for optimization (maximize or minimize) of a particular output response given multiple input factors.  However, maximization or minimization may not always be the experimental objective.  It may be more desirable to render an output response relatively insensitive, or robust, to one or more uncontrollable factors.  This presentation demonstrates factorial experiments and the use of Minitab Statistical Software to a disc drive motor laser welding application wherein robustness to weld gap is the experimental objective.


February 14, 2019
4:00 PM - 5:00 PM
OW 222


Dr. Rosanna Overholser, Dept. of Mathematics, OIT
Causation, not just correlation -
You may have heard the saying “correlation does not imply causation,” meaning that if two quantities change together all we can say is that they are correlated, not that one causes a change in the other.  For example, the number of students eating ice cream cones is correlated with the number of shorts worn on campus, but we’d probably be reluctant to conclude eating ice cream causes a student to wear shorts or vice versa.
Many of the questions people have are causal. For example, does eating chocolate while studying cause higher grades? Does using a non-standard font on a resume cause fewer job interview requests?  One way to answer such questions is with a randomized experiment.  In this talk I will describe a formal method of determining when causal questions can be answered in settings where experiments are not possible.  Several examples will be given and the potential for application in machine learning problems discussed.
February 25, 2019
4:00 PM - 5:00 PM
OW 222
Dr. Yuehai Yang, Dept. of Natural Sciences, OIT
How "Squishy" is a Roll of Graphese, a.k.a., a Single-Walled Carbon Nanotube?
Despite the tremendous application potentials of graphene and carbon nanotubes (CNTs) proposed by researchers in the last two decades, efficient experimental techniques and methods are still in need for conclusive characterizations of their mechanical properties in order to apply them in high accuracy engineering.

In this talk, we will be looking at several mechanical/mathematical models about CNT and its compression in radial direction. Young’s moduli (Eradial) of these straight single-walled carbon nanotubes (SWCNTs) have been measured by using atomic force microscopy (image (a)). The experimental results were consistent with the reported theoretical simulation data. The method developed in this mechanical property study has been applied over the years to measure the mechanical properties of other low-dimension nanostructures, such as nanowires and nanodots. This talk will hopefully help visualize and shed some light on how classical mechanical models work in the “nano-realm”.

March 14, 2019
4:00 PM - 5:00 PM
OW 222

Dr. Randall Paul, Dept. of Mathematics, OIT Mathematical Perspectives and Projective Geometry
In modern times the problem of representing a three dimensional scene in two dimensions (as, say, on a computer screen) is handled by using linear algebra and computers.  But people have been drawing convincing pictures of three dimensional scenes for centuries---how did they do it?  This talk discusses the mathematical underpinnings of perspective drawing and the resulting branch of mathematics, Projective Geometry.  Like the more familiar Euclidean Geometry, Projective Geometry starts from a few, very basic axioms and uses them to prove an elaborate collection of theorems.  Unfortunately, the connection between this beautiful, classical field of mathematics and the ideas behind prospective drawing is now not so clear. 

In this talk we’ll do some perspective drawing, so bring a pencil and a ruler.  I also hope to illustrate (as it were) the connection between perspective drawing and Projective Geometry.


There will be refreshments
!!!

We are always looking for speakers. If you are interested in giving a talk about any topic related to mathematics, statistics, data science, or any combination of these,
then please don't hesitate to contact the OIT Mathematics Department. You can also email Dr. Dibyajyoti Deb at dibyajyoti[dot]deb[at]oit[dot]edu to convey your interest.






Last Updated: January 26, 2019