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Deep neural networks on diffeomorphism groups for optimal shape reparametrization
(Journal article; Peer reviewed, 2023)One of the fundamental problems in shape analysis is to align curves or surfaces before computing geodesic distances between their shapes. Finding the optimal reparametrization realizing this alignment is a computationally ... -
Sampling design methods for making improved lake management decisions
(Journal article; Peer reviewed, 2024)The ecological status of lakes is important for understanding an ecosystem's biodiversity as well as for service water quality and policies related to land use and agricultural run-off. If the status is weak, then decisions ... -
Zeroing the Output of Nonlinear Systems Without Relative Degree
(Chapter, 2023)The goal of this paper is to establish some facts concerning the problem of zeroing the output of an input-output system that does not have relative degree. The approach taken is to work with systems that have Chen-Fliess ... -
New development of sprayed concrete with improved waterproofing, durability and sustainability performance
(Chapter, 2023)Sprayed concrete in combination with rock bolts is successfully being used for permanent rock support in tunnels. The main shortcoming is that sprayed concrete alone is unable to function as the permanent waterproofing ... -
Geometric pushforward in Hodge filtered complex cobordism and secondary invariants
(Journal article; Peer reviewed, 2024)We construct a functorial pushforward homomorphism in geometric Hodge filtered complex cobordism along proper holomorphic maps between arbitrary complex manifolds. This significantly improves previous results on such ... -
The Difference of Convex Algorithm on Hadamard Manifolds
(Preprint, 2024)In this paper, we propose a Riemannian version of the difference of convex algorithm (DCA) to solve a minimization problem involving the difference of convex (DC) function. The equivalence between the classical and simplified ... -
A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
(Journal article, 2024)We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces of holomorphic and polar germs. Evaluating the resulting holomorphic ... -
Invertible objects in Franke's comodule categories.
(Peer reviewed; Journal article, 2024) -
Decompositions of nonlinear input–output systems to zero the output
(Journal article; Peer reviewed, 2024)Consider an input–output system where the output is the tracking error given some desired reference signal. It is natural to consider under what conditions the problem has an exact solution, that is, the tracking error is ... -
A comprehensive evaluation of predictive performance of 33 species distribution models at species and community levels
(Journal article; Peer reviewed, 2019)A large array of species distribution model (SDM) approaches has been developed for explaining and predicting the occurrences of individual species or species assemblages. Given the wealth of existing models, it is unclear ... -
Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta Methods
(Journal article, 2023)Numerical integrators could be used to form interpolation conditions when training neural networks to approximate the vector field of an ordinary differential equation (ODE) from data. When numerical one-step schemes such ... -
On Optimal Tightness for Key Exchange with Full Forward Secrecy via Key Confirmation
(Journal article; Peer reviewed, 2023)A standard paradigm for building key exchange protocols with full forward secrecy (and explicit authentication) is to add key confirmation messages to an underlying protocol having only weak forward secrecy (and implicit ... -
Mutating signed -exceptional sequences
(Journal article; Peer reviewed, 2023)We establish some properties of τ -exceptional sequences for finite-dimensional algebras. In an earlier paper, we established a bijection between the set of ordered support τ -tilting modules and the set of complete ... -
∞-operads as symmetric monoidal ∞-categories
(Journal article; Peer reviewed, 2024) -
Decorated Marked Surfaces III: The Derived Category of a Decorated Marked Surface
(Journal article; Peer reviewed, 2021) -
A category of wide subcategories
(Journal article; Peer reviewed, 2021) -
τ-PERPENDICULAR WIDE SUBCATEGORIES
(Journal article; Peer reviewed, 2023)Let Λ be a finite-dimensional algebra. A wide subcategory of modΛ is called left finite if the smallest torsion class containing it is functorially finite. In this article, we prove that the wide subcategories of modΛ ... -
Tau-exceptional sequences
(Journal article; Peer reviewed, 2021)We introduce the notions of τ-exceptional and signed τ-exceptional sequences for any finite dimensional algebra. We prove that for a fixed algebra of rank n, and for any positive integer , there is a bijection between ... -
LATTICE THEORY OF TORSION CLASSES: BEYOND τ-TILTING THEORY
(Peer reviewed; Journal article, 2023) -
Prognostic risk models for incident hypertension: A PRISMA systematic review and meta-analysis
(Journal article; Peer reviewed, 2024)Objective Our goal was to review the available literature on prognostic risk prediction for incident hypertension, synthesize performance, and provide suggestions for future work on the topic.
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