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This section details our plans for expanding on the project and its results

Generalizing non uniformity

As stated earlier, we wanted our measure of nonuniformity to be simple and easy to control. For the purposes of this project, removing entries based on a jointly Gaussian Distribution met our requirements. However, this measure of nonuniformity is both unrealistic and overly simplistic for real world data sets. With this in mind, future work would involve finding ways to generalize our notion of nonuniformity so that our results are more accurate with regards to real world data sets.

Testing with real world data

One of the most obvious applications of matrix completion is image reconstruction. The figure below shows how matrix completion can be used to reconstruct a noisy image. The original image had a uniform distribution of removed indices, so matrix completion was able to successfully recreate the image.

Matrix completion used to denoise film

Our results suggest that the algorithm would similarly be able to complete the image if the removed indices had a certain degree of non uniformity. Further testing would involve looking for any kinds of exceptions to our results. Due to the visual nature of these matrices, it would be very easy to see when matrix completion succeeds or fails. We could then look for patterns to generalize the issues the algorithm takes with varying degrees of non uniformity in the missing indices.

Essentially, this is expanding the whole idea of our stress test to be more cognizant of real world issues of nonuniformity in data sets.

Alternative approaches

This whole project has been guided by the principal that the existing solution for matrix completion is as good as it will get. At our poster presentation, one of the judge’s proposed an interesting idea. Could we (or others with better qualifications) improve the solution? Is there a way to fix the algorithm so that it works for all levels of uniformity?

We don't know the answer to this question and probably don't have the analytical skills to begin looking for one. However, a simple but potentially effective solution quickly comes to mind. We could develop a preprocessing algorithm that makes the data uniform before running matrix completion. Such an algorithm would need to be fast and generalized to all sorts of data sets to truly be a viable solution.

Questions & Answers

what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
How can I make nanorobot?
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
how can I make nanorobot?
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Elec 301 projects fall 2015. OpenStax CNX. Jan 04, 2016 Download for free at https://legacy.cnx.org/content/col11950/1.1
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