Computer Science Technical Reports

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    Improving the Learning Platform for the Leukocoria Detection Project
    (2016-08-31) Boer, James; Hamerly, Gregory James, 1977-
    ABSTRACT Improving the Learning Platform for the Leukocoria Detection Project James Boer, M.S. Mentor: Gregory J. Hamerly, Ph.D. In this paper we describe a new and signi cantly improved learning platform for the leukocoria detection project. We have developed an easily maintainable and extensible system that can train hundreds of semi-random convolutional neural networks very quickly on GPUs. Docker is used to enable simple and platform-agnostic deployment of the system. The Torch machine learning library is used to train the convolutional neural networks and a PostgreSQL database is used to store the training results. A literature review of recent convolutional neural network research is done to nd methods of improving accuracy. Training results are promising, with single-network performance at 96.6% using minimal data and 99.5% using data augmentation
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    Facetag, The Image Managing Service for the Leukocoria Detection Project
    (2016-05-27) Cibur, Vaclav; Hamerly, Gregory James, 1977-
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    Recommendations Made Easy
    (2014-06-23) Guinness, Darren, 1990-; Karbasi, Seyedeh Paniz, 1986-; Nazarov, Rovshen; Speegle, Gregory David.
    Fueled by ever-growing data, the need to provide recommendations for consumers, and the considerable domain knowledge required to implement distributed large scale graph solutions we sought to provide recommendations for users with minimal required knowledge. For this reason in this paper we implement a generalizable 'API-like' access to collaborative filtering. Three algorithms are introduced with three execution plans in order to accomplish the collaborative filtering functionality. Execution is based on memory constraints for scalability and our initial tests show promising results. We believe this method of large-scale generalized 'API-like' graph computation provides not only good trade-off between performance and required knowledge, but also the future of distributed graph computation.
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    Matrix Representations of GF(p[superscript n]) over GF(p)
    (2014-01-31) Maurer, Peter M.
    We show that any non-singular nxn matrix of order p[superscript n]-1 over GF(p) is a generator of a matrix representation of GF(p[superscript n]). We also determine the number of matrix representations of GF(p[superscript n])GF(p) over GF(p), and then number of order p[superscript n]-1 matrices in the general linear group of degree n over GF(p). The theorems are easily generalizable to arbitrary field extensions.
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    Fields and Cyclic Codes for Error Detection
    (2014-01-14) Hess, Rachel Nicole.
    This technical report discusses some of the aspects of error detection using finite fields.
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    The Conjugacy Classes of 3x3 and 4x4 Matrices Over GF(2)
    (2013-09-20) Maurer, Peter M.
    The general linear groups over GF(2) have an intricate and interesting structure. This report does some preliminary work in examining the structure of two of these groups by giving the conjugacy classes of 3x3 and 4x4 matrices over GF(2).
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    The Class 10 4x4 Faithful Representations of S4 over GF(2)
    (2013-09-20) Maurer, Peter M.
    There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 10. (There is no class 6, so the classes are numbered 1, 2, 3, 4, 5, 7, 8, 9, and 10.)
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    Class 9 4x4 Faithful Representations of S4 over GF(2)
    (2013-09-20) Maurer, Peter M.
    There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 9.
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    The Class 8 4x4 Faithful Representations of S4 over GF(2)
    (2013-09-20) Maurer, Peter M.
    There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 8. This class includes the standard representation in permutation matrices.
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    The Class 7 4x4 Faithful Representations of S4 over GF(2)
    (2013-09-20) Maurer, Peter M.
    There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 7.
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    The Class 5 4x4 Faithful Representations of S4 over GF(2)
    (2013-09-20) Maurer, Peter M.
    There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 5.
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    The Class 4 4x4 Faithful Representations of S4 over GF(2)
    (2013-09-20) Maurer, Peter M.
    There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 4.
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    The Class 3 4x4 Faithful Representations of S4 over GF(2)
    (2013-09-20) Maurer, Peter M.
    There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 3.
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    The Class 2 4x4 Faithful Representations of S4 over GF(2)
    (2013-09-20) Maurer, Peter M.
    There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 2.
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    The Class 1 4x4 Faithful Representations of S4 over GF(2)
    (2013-09-20) Maurer, Peter M.
    There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 1.
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    The Representations of GF(8) in GL3(2)
    (2013-09-20) Maurer, Peter M.
    This report gives one subgroup of each of the conjugacy classes of the subgroups of S7.
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    The Representations of GF(8) in GL3(2)
    (2013-09-20) Maurer, Peter M.
    As is well known (or should be well known) the finite field GF(2^k) can be represented in the general linear group of kxk matrices over GF(2). There are many such representations. This report gives the 8 representations (not counting automorphisms) of GF(8) in 3x3 matrices over GF(2).
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    The Super Symmetric Representations of S4 in GL3(2)
    (2013-09-20) Maurer, Peter M.
    This report gives all conjugacy classes of the super symmetric groups HR3 and VR3
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    Primitive Polynomials for the Field GF(3): Degree 2 through Degree 11
    (2013-09-20) Maurer, Peter M.
    This report lists the primitive polynomials over GF(3) of degree 2 through 11. These polynomials were generated using a new matrix-based technique I invented.
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    Primitive Polynomials for the Field GF(2): Degree 2 through Degree 16
    (2013-09-20) Maurer, Peter M.
    This report lists the primitive polynomials over GF(2) of degree 2 through 16. These polynomials were generated using a new matrix-based technique I invented.
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