Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 71 for “"hyperplane"”.
-
Ordinal HyperPlane Loss
… reviews a novel loss function called Ordinal Hyperplane Loss (OHPL) that is particularly designed for data with ordinal classes. OHPLnet has been demonstrated to be a significant advancement in predicting ordinal classes for industry standard structured datasets. The loss function also enables …
-
Species and Hyperplane Arrangements
… of species and the Tits algebra of a real hyperplane arrangement. The relation between these two comes from the work of Aguiar and Mahajan (2013), who showed that a (co)commutative Hopf monoid gives rise to a family of (left)right-modules over the Tits algebra of the braid arrangement in …
-
Algebraic combinatorics of hyperplane arrangements
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1987.
-
Enumerative and algebraic aspects of matroids and hyperplane arrangements
… and algebraic properties of matroids and hyperplane arrangements. In particular, a central object of study is the Tutte polynomial, which stores much of the enumerative information of these objects. The first project is the study of the Tutte polynomial of an arrangement and, more …
-
Analytical guarantees for reduced precision fixed-point margin hyperplane classifiers
Margin hyperplane classifiers such as support vector machines are strong predictive models having gained considerable success in various classification tasks. Their conceptual simplicity makes them suitable candidates for the design of embedded machine learning systems. Their accuracy and resource …
-
Barrier Graphs and Extremal Questions on Line, Ray, Segment, and Hyperplane Sensor Networks
… line, line segment, and rays in the plane, and hyperplanes in higher dimensions.</p> <p>First we explore ray sensor networks in the plane, whose <em>resilience</em> is the number of sensors that must be crossed by an agent traveling between two known locations. The coverage of such a network is …
-
Diagnosing intensive care units and hyperplane cutting for design of optimal production systems
This thesis provides a new framework for understanding how conditions, people, and environments of the Intensive Care Unit (ICU) effect the likelihood the preventable harm will happen to a patient in the ICU. Two years of electronic medical records from seven adult ICUs totalling 77 beds at Beth …
-
Ad-nilpotent ideals of complex and real reductive groups
… orbits, affine Weyl groups, sign types and hyperplane arrangements. This thesis is divided into three parts. The first and second parts deal with ad-nilpotent ideals for complex reductive Lie groups. In the first part, we study the left equivalence relation of ad-nilpotent ideals and relate …
-
Monomization of power Ideals and parking functions
… are derived from a zonotope, or dually it's hyperplane arrangement. In the case that the hyperplane arrangement is of Type A, we can rephrase the definition in terms of graphs. Using the symmetry of these ideals, we can find monomial ideals which preserve much of the structure of the …
-
Structure in combinatorial optimization and its effect on heuristic performance
… of solutions in a subspace that we call a hyperplane. These averages can be used to estimate the correct setting of the backbone variables, with as high as 90% accuracy on industrial-like instances. By initializing SLS algorithms with these solutions, the search is able to find …
-
Some problems in polynomial interpolation and topological complexity
… discuss the motion planning problem in complex hyperplane arrangement complements. The difficulty of constructing a minimally discontinuous motion planning algorithm for a topological space X is measured by an integer invariant of X called topological complexity or TC(X). Yuzvinsky developed a …
-
Projection methods for clustering and semi-supervised classification
… is motivated by identifying the minimum density hyperplane separator in the finite sample setting. This objective is directly related to the problem of discovering clusters defined as connected regions of high data density, which is a widely adopted definition in non-parametric statistics and …
-
Predicting and Modifying Memorability of Images
… images. In our proposed method, we first found a hyperplane in the latent space of StyleGAN to separate high and low memorable images. We then modified the image memorability (while maintaining the identity and other facial features such as age, emotion, etc.) by moving in the positive or negative …
-
Symmetric structures in the weak and strong Bruhat orders
… connections to Schubert calculus, Lie algebras, hyperplane arrangements, sorting networks and so on. In this thesis, we study various new symmetries within these structures, including the balance constant and the hull metric property of the weak order, and the self-dual intervals and boolean …
-
Large-Scale Machine Learning for Classification and Search
… to cope with new forms of queries such as hyperplanes. 4. Supervised Hashing: Recent research has shown that the hashing quality could be boosted by leveraging supervised information into hash function learning. However, the existing methods either lack adequate performance or often incur …
-
On cutting planes for mixed-integer nonlinear programming
… MINLPs. We first show that Veinott’s supporting hyperplane algorithm is a particular case of Kelley’s cutting plane algorithm. We further extend the applicability of Veinott’s supporting hyperplane algorithm to solve convex problems repre- sented by non-convex functions. We then develop a …
-
Combinatorics in Schubert varieties and Specht modules
… Schubert varieties in the full flag variety with hyperplane arrangements. Schubert varieties are parameterized by elements of the Weyl group. For each element of the Weyl group, we construct certain hyperplane arrangement. We show that the generating function for regions of this arrangement …
-
Lattice Subdivisions and Tropical Oriented Matroids, Featuring Products of Simplices
… questions. Chapter two discusses tropical hyperplane arrangements and the tropical oriented matroid theory they inspire, paying particular attention to the previously uninvestigated distinction between the generic and non-generic cases. The focus of chapter three is products of simplices, …
-
Image segmentation and pattern classification using support vector machines
… to its distance to the current separating hyperplane and the confidence factor. The confidence factor, calculated from the upper bounds of SVM errors, is used to indicate the degree of closeness of the current separating hyperplane to the optimal solution.
Page 1 of 4