A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
AGI modifies utility function to cooperate, conflicting with orthogonality thesis.
From 1980s, it is an open problem of proposing cohomologic formula for the basic index of a transversally elliptic basic differential operator on a vector bundle over a foliated manifold. In 1990s, El Kacimi-Alaoui has proprosed to use the Molino theory for study this index. Molino has proved that to every transversall…
Ph.D. thesis on complex Brunn-Minkowski theory using Hilbert bundles.
This thesis renovates classic models for pricing inflation derivatives.
This thesis improves practical reinforcement learning methods with robustness, scalability, and efficiency.
These are notes of a talk I gave in a seminar at the University of Pennsylvania summarizing results in the Ph.D. thesis of Michael Mueter obtained under the direction of Wolfgang Meyer at the University of Muenster. His thesis on "Kruemmungserhoehende Deformationen mittels Gruppenaktionen" examines in detail curvature …
The subject of this PhD thesis is noncommutative geometry - more specifically spectral triples - and how it can be generalized to semi-Riemannian manifolds generally, and Lorentzian manifolds in particular. The first half of this thesis will thus be dedicated to the transition from Riemannian to semi-Riemannian manifol…
This thesis details the results of four interrelated projects. The first of these presents a new proof of the theorem of Cooper, Danciger and Wienhard classifying the limits under conjugacy of the orthogonal groups in GL(n; R). The second provides a detailed investigation into Heisenberg geometry, which is the maximall…
The thesis clarifies when local updates outperform centralized methods in heterogeneous data environments.
In this paper we consider a class of weighted-volume preserving curvature flows acting on hypersurfaces that are trapped within two parallel hyperplanes and satisfy an orthogonal boundary condition. In the author's thesis the stability of cylinders under the flows was considered; it was found that they are stable provi…
A foliation on a manifold M can be informally thought of as a partition of M into injectively immersed submanifolds, called leaves. In this thesis we study foliations whose leaves carry some specific geometric structures. The thesis consists of two parts. In the first part we classify foliations on open manifolds whose…
Master thesis proves Bergman kernel asymptotics for positive line bundles.
Develops higher representation theory for odd Khovanov homology and rewriting theory.
Marxism's rate of profit thesis rejected as illogical.
In this thesis we describe how minimal surface techniques can be used to prove the Penrose inequality in general relativity for two classes of 3-manifolds. We also describe how a new volume comparison theorem involving scalar curvature for 3-manifolds follows from these same techniques.
This thesis studies domain adaptation under minimal distribution similarity assumptions using moments.
In this thesis I explore challenging discrete energy minimization problems that arise mainly in the context of computer vision tasks. This work motivates the use of such "hard-to-optimize" non-submodular functionals, and proposes methods and algorithms to cope with the NP-hardness of their optimization. Consequently, t…
In this thesis we study the Seiberg-Witten theory of an oriented homology 3-sphere. The goal is to extract topological invariants - the Seiberg-Witten invariants - by counting the solutions to the Seiberg-Witten equations on the manifold. The first question we consider is whether the Seiberg-Witten invariants depend on…
The human face constantly conveys information, both consciously and subconsciously. However, as basic as it is for humans to visually interpret this information, it is quite a big challenge for machines. Conventional semantic facial feature recognition and analysis techniques are already in use and are based on physiol…
This thesis evaluates text-based vs audio-based classification of mental health interviews.
This thesis develops some general calculational techniques for finding the orders of knots in the topological concordance group C. The techniques currently available in the literature are either too theoretical, applying to only a small number of knots, or are designed to only deal with a specific knot. The thesis buil…
The main aim of this thesis is to study the properties of trapped surfaces in spacetimes with symmetries and their possible relation with the theory of black holes. We will concetrate specially on one aspect of this possible equivalence, namely whether the static black hole uniqueness theorems extend to static spacetim…
From a fresh data science perspective, this thesis discusses the prediction of coronary artery disease based on genetic variations at the DNA base pair level, called Single-Nucleotide Polymorphisms (SNPs), collected from the Ontario Heart Genomics Study (OHGS). First, the thesis explains two commonly used supervised le…
Study on geometric variational problems for existence, regularity, and uniqueness of solutions.
This thesis presents new methods for unsupervised learning of distributed representations of words and entities from text and knowledge bases. The first algorithm presented in the thesis is a multi-view algorithm for learning representations of words called Multiview Latent Semantic Analysis (MVLSA). By incorporating u…
This thesis tackles Gaussian Process challenges in low dimensions.
The study extends Jacobi-orthogonality to indefinite scalar product spaces.
New characterization of Osserman tensors using Jacobi-orthogonality.
This thesis explores Ollivier-Ricci curvature in graphs and manifolds, with applications to graph neural networks.
This thesis explores robust machine learning against adversarial examples.
Research on unique continuation principles in medical and seismic imaging.
Study isotropy groups for complex orthogonal and skew-symmetric matrices.
In this summary of Habilitation Thesis, it is outlined author's 18 years research activity on mathematical physics, geometric methods in particle physics and gravity, modifications and applications (after defending his PhD thesis in 1994). Ten most relevant publications are structured conventionally into three "strateg…
New findings on Kähler manifolds restrict orthogonal coordinates existence.
Constructs orthogonal coordinates in curved spaces.
This thesis extends contact structures to differentiable stacks using line bundle-valued 1-forms.
This thesis explores emergent intelligence in disordered systems like spin glasses and neural networks.
OPT framework improves neural network generalization by learning an orthogonal transformation.
The paper studies surfaces in a bounded domain with orthogonal boundaries and proves curvature estimates.
Cluster varieties are geometric objects that have recently found applications in several areas of mathematics and mathematical physics. This thesis studies the geometry of a large class of cluster varieties associated to compact oriented surfaces with boundary. The main original contribution of this thesis is to develo…
This thesis explores GNNs, categorizing them into local and global approaches.
This is a TeX'ed version of the author's 1971 thesis from the University of California at Berkeley under the supervision of J.~B.~Wagoner.
This is my master thesis. Unfortunately it is written in Italian, but maybe somebody will find it helpful when it comes to Evans Potentials
Orthogonal random features approximate a Bessel kernel, offering sharper bounds than random Fourier features.
Proposes FOAGP for efficient orthogonal effect decomposition of black-box computer experiments.
This is a PhD thesis about low dimensional topology, in particular knot thory in 3-manifolds also different from the 3-sphere, topological applications of quantum invariants, and Turaev's shadows. There is an introduction and a survey for these topics. The thesis uses skein theory and focues on the connected sum of cop…
Novel prior for orthogonal functions improves functional component estimation.
Method constructs orthogonal curvilinear coordinates in constant curvature spaces.