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After tinkering with hyper-parameters, various cost functions, and different activation functions, we built a convolutional neural network ourselves using Python's Theano library and trained it to recognize handwritten digits from 0-9.

Overview

We built our network to detect handwritten digits between 0 and 9, comprised of 6 total layers (seen below). We trained and tested our network using the MNIST data set of handwritten digits (50,000 training images, 10,000 test images). During the training, the weights and biases of each neuron in each layer were adjusted to minimize the cost function we used in the stochastic gradient descent algorithm. The first layer in our network is a convolutional layer that takes a 28x28 image and convolves it with 20 different 5x5 filters creating 20 24x24 feature maps. The second layer – a pooling layer – samples the 24x24 feature maps down to 12x12 feature maps. The third layer is another convolutional layer that convolves 40 different 4x4 filters, tuned to detect higher- level features, into 40 8x8 feature maps. The fourth layer pools the output of the second convolutional layer into 4x4 maps. The fifth layer is a fully connected layer of 100 neurons that detects the presence of features in the 4x4 feature maps. Finally the 6th layer is a softmax layer that maps combinations of features from the 5th layer into the output, a length-10 vector where the index of the largest entry was the digit our network guessed.

Our convolutional neural network

neural network
The CNN we structured to recognize handwritten digits

We also designed an applet that allows a user to visualize the flow of data in our network. It lets the user see the effect of our network on an input image (either an image in the MNIST dataset or an image drawn on the screen) and see the output of each layer of our network in real-time. We also designed the GUI to display the trained filters of each convolutional layer and the outputs of each neuron in every layer. This allowed us to gain a visual understanding of how the filters in our network were trained, which characteristics the filters were trained to detect, and how the filters used convolution to recognize the different features of the digits. Additionally it allowed us to test and prove just how accurate our network was, as well as easily identify and fix any cases where our network did not successfully classify digits.

Our image recognition app

applet
The applet we created to visualize the flow of data through our CNN

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
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
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
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.
Bharti
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
Daniel
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
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
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
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
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.
Tarell
what is the actual application of fullerenes nowadays?
Damian
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.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
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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