One-Class Boundary Peeling detects outliers efficiently and robustly.
arXiv research
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We introduce and discuss notions of regularity and flexibility for Lagrangian manifolds with Legendrian boundary in Weinstein domains. There is a surprising abundance of flexible Lagrangians. In turn, this leads to new constructions of Legendrians submanifolds and Weinstein manifolds. For instance, many closed -mani…
New tests for VaR and ES forecast encompassing using flexible link functions.
Researchers prove spaces of positive scalar curvature metrics are contractible with symmetry.
Sharp spectral extension of rigidity theorem for mean-convex manifolds.
Support Vector Data Description (SVDD) is a machine-learning technique used for single class classification and outlier detection. SVDD formulation with kernel function provides a flexible boundary around data. The value of kernel function parameters affects the nature of the data boundary. For example, it is observed …
Given a polyhedral surface, assume that it is prohibited to change the shape and size of any face but it is permissible to change the dihedral angles between the faces. A polyhedral surface is said to be flexible if it is possible to change its shape under the above restrictions. We prove that flexible polyhedral surfa…
LEMs extend transformer-based architectures for complex execution problems.
A 3D area-minimizing current in R^5 has a 2-fold essential singularity.
Characterizes geometric actions on graphs with flexible stabilizers.
Abstract. In this paper we prove several rigidity theorems related to and including Lytchak's problem. The focus is on Alexandrov spaces with \curv\geq1, nonempty boundary, and maximal radius \fracπ{2}. We exhibit many such spaces that indicate that this class is remarkably flexible. Nevertheless, we also show that whe…
The study provides criteria for solving the Dirichlet problem at infinity on Cartan-Hadamard surfaces.
Unified framework detects shifts in climate boundaries using GP regression and MAD test.
We present a series of results concerning the interplay between the scalar curvature of a manifold and the mean curvature of its boundary. In particular, we give a complete topological characterization of those compact 3-manifolds that support Riemannian metrics of positive scalar curvature and mean-convex boundary and…
Flexible framework for transfer learning with optimal rates.
We study quasi-isometry invariants of Gromov hyperbolic spaces, focussing on the l_p-cohomology and closely related invariants such as the conformal dimension, combinatorial modulus, and the Combinatorial Loewner Property. We give new constructions of continuous l_p-cohomology, thereby obtaining information about the l…
The study extends conserved quantities theory to non-compact boundary initial data sets.
Paper develops physics-informed, boundary-constrained Gaussian process for fluid flow field reconstruction.
Flexible XVAE model for efficient spatial extremes simulation.
Classification is an important topic in statistics and machine learning with great potential in many real applications. In this paper, we investigate two popular large margin classification methods, Support Vector Machine (SVM) and Distance Weighted Discrimination (DWD), under two contexts: the high-dimensional, low-sa…
In this paper, we consider the problem of predicting demographics of geographic units given geotagged Tweets that are composed within these units. Traditional survey methods that offer demographics estimates are usually limited in terms of geographic resolution, geographic boundaries, and time intervals. Thus, it would…
FairTrade uses variational inference to create fair predictions in causal models.
To construct flexible nonlinear predictive distributions, the paper introduces a family of softplus function based regression models that convolve, stack, or combine both operations by convolving countably infinite stacked gamma distributions, whose scales depend on the covariates. Generalizing logistic regression that…
Study on embeddings of surfaces in 4-manifolds and their mapping classes.
SVR-Tree improves classification trees for imbalanced and sparse data.
Generalized meshes for non-regular geometries, including fractures.
Study presents a twistor correspondence for specific geometric structures.
Method approximates Lipschitz domains with smoother shapes.
Bayes-TrEx finds in-distribution examples for model inspection.
Paper describes eigenvalues of genus 3 surfaces graphs.
In this paper we define and study flexible links and flexible isotopy in projective space. Flexible links are meant to capture the topological properties of real algebraic links. We classify all flexible links up to flexible isotopy using Ekholms interpretation of Viros encomplexed writhe.
The authors characterize flexibility in power and energy markets considering time, spatiality, resource, and risk.
The study proves semisimplicity of totally geodesic subvarieties in moduli spaces of Riemann surfaces.
A mechanical linkage is a mechanism made of rigid rods linked together by flexible joints, in which some vertices are fixed and others may move. The partial configuration space of a linkage is the set of all the possible positions of a subset of the vertices. We characterize the possible partial configuration spaces of…
We describe a new instance-based learning algorithm called the Boundary Forest (BF) algorithm, that can be used for supervised and unsupervised learning. The algorithm builds a forest of trees whose nodes store previously seen examples. It can be shown data points one at a time and updates itself incrementally, hence i…
In this work, we consider the task of classifying binary positive-unlabeled (PU) data. The existing discriminative learning based PU models attempt to seek an optimal reweighting strategy for U data, so that a decent decision boundary can be found. However, given limited P data, the conventional PU models tend to suffe…
Empirical analysis serves as an important complement to theoretical analysis for studying practical Bayesian optimization. Often empirical insights expose strengths and weaknesses inaccessible to theoretical analysis. We define two metrics for comparing the performance of Bayesian optimization methods and propose a ran…
The need for labour intensive pixel-wise annotation is a major limitation of many fully supervised learning methods for segmenting bioimages that can contain numerous object instances with thin separations. In this paper, we introduce a deep convolutional neural network for microscopy image segmentation. Annotation iss…
Constructs examples of domains divided by groups in dimensions 3 and above.
New inequality for odd-degree flexible curves using surface doubling.
We study the optimal timing strategies for trading a mean-reverting price process with afinite deadline to enter and a separate finite deadline to exit the market. The price process is modeled by a diffusion with an affine drift that encapsulates a number of well-known models,including the Ornstein-Uhlenbeck (OU) model…
A new numerical framework simplifies elastic surface matching and comparison.
Automates detection of fast-ramped flexibility events for DSOs.
Flexible surfaces found in complex projective and product spaces.
Constructs polyhedral chains with prescribed tangent plane distributions.
Polyhedra called Siamese dipyramids are known to be non-flexible, however their physical models behave like physical models of flexible polyhedra. We discuss a simple mathematical method for explaining the model flexibility of the Siamese dipyramids.
Paper develops a framework for hyperbolic Monge-Ampère equation on strips, proving well-posedness and stability.
In this paper we study infinitesimal and finite flexibility for generic semidiscrete surfaces. We prove that generic 2-ribbon semidiscrete surfaces have one degree of infinitesimal and finite flexibility. In particular we write down a system of differential equations describing isometric deformations in the case of exi…