Browsing Faculty of Graduate Studies and Research by Author "Fallat, Shaun"
Now showing items 1-20 of 26
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Actionable Three-Way Decisions
(Faculty of Graduate Studies and Research, University of Regina, 2018-09)In this thesis, we analyze both the trisecting and acting aspects of three-way decisions. In an evaluation based model of three-way decisions, there are two steps: trisecting and acting. The trisecting step constructs ... -
Calculating and Preserving Star Sets and Star Complements of General Matrices
(Faculty of Graduate Studies and Research, University of Regina, 2017-08-18)This thesis presents several results relating to star sets and star complements of graphs. While a method for calculating star sets and star complements involving pro- jection matrices has been known since their introduction, ... -
Cameron-Liebler Sets for 2-Transitive Groups
(Faculty of Graduate Studies and Research, University of Regina, 2020-11)This research was conducted on 2-transitive groups whose minimal normal subgroup is abelian. Suppose G is such a group and ΓG is its derangement graph. Any maximum coclique S of ΓG has a characteristic vector xS. Each xS ... -
Complexity Parameters for Learning Multi-Label Concept Classes,
(Faculty of Graduate Studies and Research, University of Regina, 2015-03)In Computational Learning Theory, one way to model a concept is to consider it as a member of the Cartesian products of instances (sets), where each instance may correspond to a binary or multi-valued domain. A concept ... -
Convergence and Comparison Theorems for Various Splittings of Matrices Based on Generalized Inverses
(Faculty of Graduate Studies and Research, University of Regina, 2015-03)The convergence of iterative methods for numerically solving the linear systems of equations associated with different types of splittings has been well studied in the literature. In this dissertation, we define new types ... -
Dietary Niche and Foraging Ecology of a Generalist Predator, Double-Crested Cormorant (Phalacrocorax Auritus): Insight Using Stable Isotopes
(Faculty of Graduate Studies and Research, University of Regina, 2012-04)The ability of predator populations to expand their ranges and adapt to new environments is often attributed to having a generalist dietary strategy, which is thought to be represented both at the population and individual ... -
Distinguishing Linear Sets and Pattern Languages With Membership Examples
(Faculty of Graduate Studies and Research, University of Regina, 2017-09)In Computational Learning Theory, a binary concept is often represented by a set of pairs (x; l), where x varies over a set of instances known as a universe or instance space, and l is a label, either "+" or "-", indicating ... -
Eigenvalues of K-Uniform Hypergraphs
(Faculty of Graduate Studies and Research, University of Regina, 2017-08)We de ne two separate attempts to generalize the de nition of eigenvalues to hypergraphs and show several results related to each. The rst approach is rooted in 2-dimensional matrices and allows for the generalization ... -
The Erdős-Ko-Rado Theorem for intersecting families of permutations.
(Faculty of Graduate Studies and Research, University of Regina, 2010)The Erdős-Ko-Rado Theorem is a fundamental result in extremal set theory. It describes the size and structure of the largest collection of subsets of size k from a set of size n having the property that any two subsets ... -
The Erdős-Ko-Rado Theorem for Transitive Permutation Groups
(Faculty of Graduate Studies and Research, University of Regina, 2022-03)Given a transitive permutation group \(G \le Sym(\Omega)\), a subset \(F\) of \(G\) is \(\textit {intersecting}\) if any two elements of \(F\) agree on some elements of \(\Omega\). We are interested in the problem of finding ... -
Extensions of the Erdős-Ko-Rado Theorem to Perfect Matchings
(Faculty of Graduate Studies and Research, University of Regina, 2022-03-31)One of the important results in extremal set theory is the Erdős-Ko-Rado (EKR) theorem which gives a tight upper bound on the size of intersecting sets. The focus of this thesis is on extensions of the EKR theorem to ... -
Maximum Intersecting Families of Permutations
(Faculty of Graduate Studies and Research, University of Regina, 2013-07)In extremal set theory, the Erd}os-Ko-Rado (EKR) theorem gives an upper bound on the size of intersecting k-subsets of the set {1; : : : ;n}. Furthemore, it classi es the maximum-sized families of intersecting k-subsets. ... -
Measurement of the Beam Asymmetry for the ETA and ETA Prime Mesons with the Gluex Experiment
(Faculty of Graduate Studies and Research, University of Regina, 2019-05)The GlueX Experiment in Hall D at Jefferson Lab ultimately aims to provide evidence of hybrid mesons, quark-antiquark pairs with gluonic excitations, which are predicted by quantum chromodynamics calculations on the lattice. ... -
Mechanisms of Oil Recovery During Cyclic CO2 Injection process: Impact of Fluid Interactions, operating parameters, and Porous Medium
(Faculty of Graduate Studies and Research, University of Regina, 2014-07)Carbon dioxide (CO2) injection processes are among the most promising enhanced oil recovery techniques based on their great potential to improve oil production while utilizing geological storage of carbon dioxide to ... -
On Concept Classes With Low No-Clash Teaching Dimension
(Faculty of Graduate Studies and Research, University of Regina, 2021-05)Computational Learning Theory studies the complexity of learning for various formal models of machine learning. Such models use a learning algorithm A fed with a set of labelled data for a target concept belonging to a ... -
On The Classical Parameters of the Crack Distribution
(Faculty of Graduate Studies and Research, University of Regina, 2018-11)The three parameter Crack distribution is a useful and effective tool in statistical analysis in conjunction with the desired interest of engineering studies relating to fatigue cracks that occur in materials used for ... -
On The Combinatorics of Sample Compression Schemes
(Faculty of Graduate Studies and Research, University of Regina, 2013-08)A sample compression scheme of size k for a concept class C is a pair of functions (f; g) called the compression function and the reconstruction function. The functions have the property that for any sample S consistent ... -
On the Development of Deep Convolutional Sum-Product Networks
(Faculty of Graduate Studies and Research, University of Regina, 2019-12)A probabilistic graphical model (PGM) is a formal mathematical description of a problem domain. A Bayesian network (BN) is a PGM defined by a directed acyclic graph (DAG) and a set of conditional probability tables (CPTs). ... -
On THe Theory of Pricing of Discrete Time Options of European Type
(Faculty of Graduate Studies and Research, University of Regina, 2017-08)The contemporary nancial market appears to be a part of human activity where ideas of Stochastic Analysis, in particular Martingale Theory and Stochastic Ito's integral, have been implemented in a most complete matter. ... -
Rank Distribution of Linear Maps and Proportion of Indecomposable Representations
(Faculty of Graduate Studies and Research, University of Regina, 2019-08)The distribution of the ranks of all linear maps between two nite-dimensional vector spaces over a eld of order q is determined both theoretically and experimen- tally. The distribution is derived by using a particular ...
