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.
Study pentagon growth with laser-cut models.
Many mobile robots rely on 2D laser scanners for localization, mapping, and navigation. However, those sensors are unable to correctly provide distance to obstacles such as glass panels and tables whose actual occupancy is invisible at the height the sensor is measuring. In this work, instead of estimating the distance…
This work uses neural density estimation to analyze laser-induced breakdown spectroscopy data, enabling accurate predictions and uncertainty quantification.
In microsurgery, lasers have emerged as precise tools for bone ablation. A challenge is automatic control of laser bone ablation with 4D optical coherence tomography (OCT). OCT as high resolution imaging modality provides volumetric images of tissue and foresees information of bone position and orientation (pose) as we…
Ultra-short laser pulses with femtosecond to attosecond pulse duration are the shortest systematic events humans can create. Characterization (amplitude and phase) of these pulses is a key ingredient in ultrafast science, e.g., exploring chemical reactions and electronic phase transitions. Here, we propose and demonstr…
A RL approach optimizes metal AM process parameters for consistent melt pool depth.
LASER compresses recursive model activations by exploiting their low-dimensional structure.
INNs improve acceptance rates in electron spectra analysis.
The paper analyzes the performance of delay-based reservoir computing using eigenvalue analysis.
Convolutional neural network localizes OD and fovea in UWFoV-SLO images.
Paper uses CNN to predict process parameters from molten pool data in WLAM.
NeuralCut learns to select cutting planes by looking ahead, outperforming traditional methods.
Differentiable cutting-plane layers solve parametric mixed-integer linear optimization problems.
NeVI-Cut uses neural networks to efficiently propagate uncertainty without feedback.
Paper connects probability density cuts to graph theory eigenfunctions.
Study Riemannian metrics on lens spaces, find cut loci and diameters.
Study Riemannian metrics on lens spaces, find cut loci and diameters.
We consider a left invariant Riemannian metric on SO(3) with two equal eigenvalues. We find the cut locus and the equation for the cut time. We find the diameter of such metric and describe the set of all most distant points from the identity. Also we prove that the cut locus and the cut time converge to the cut locus …
Stability of cut locus under metric perturbations in compact Riemannian manifolds.
New equivalence relation for links using cut-diagrams.
Study shows convergence rates for Cheeger cuts on data clouds.
Unified framework for differentiable graph partitioning with probabilistic cuts.
Stochastic cutting planes improve data-driven optimization speed.
Study of Randers metrics on spheres with simple cut loci.
We define spin-c prequantization of a symplectic manifold to be a spin-c structure and a connection which are compatible with the symplectic form. We describe the cutting of an S^1-equivariant spin-c prequantization. The cutting process involves a choice of a spin-c prequantization for the complex plane. We prove that …
A symplectic cut of a manifold M with a Hamiltonian circle action is a symplectic quotient of M x C. If M is Kaehler then, since C is Kaehler, the cut space is Kaehler as well. The symplectic structure on the cut is well understood. In this paper we describe the complex structure (and hence the metric) on the cut. We t…
Manifold methods improve amino acid classification in LIBS spectra.
In this note, we study the cut locus of the free, step two Carnot groups with generators, equipped with their left-invariant Carnot-Carathéodory metric. In particular, we disprove the conjectures on the shape of the cut loci proposed in [Myasnichenko - 2002] and [Montanari, Morbidelli - 2016], by exh…
Max flow/min cut theorem extended to currents and topology.
Spectral Clustering as a relaxation of the normalized/ratio cut has become one of the standard graph-based clustering methods. Existing methods for the computation of multiple clusters, corresponding to a balanced -cut of the graph, are either based on greedy techniques or heuristics which have weak connection to th…
Spectral clustering is sensitive to how graphs are constructed from data particularly when proximal and imbalanced clusters are present. We show that Ratio-Cut (RCut) or normalized cut (NCut) objectives are not tailored to imbalanced data since they tend to emphasize cut sizes over cut values. We propose a graph partit…
This paper establishes the consistency of a family of graph-cut-based algorithms for clustering of data clouds. We consider point clouds obtained as samples of a ground-truth measure. We investigate approaches to clustering based on minimizing objective functionals defined on proximity graphs of the given sample. Our f…
New upper bound for geodesic complexity derived from cut locus decompositions.
New 2-spheres of revolution with simple cut locus structures.
We consider the Lie group PSL(2) (the group of orientation preserving isometries of the hyperbolic plane) and a left-invariant Riemannian metric on this group with two equal eigenvalues that correspond to space-like eigenvectors (with respect to the Killing form). For such metrics we find a parametrization of geodesics…
In this article we extend cutting and blowing up to the nonrational symplectic toric setting. This entails the possibility of cutting and blowing up for symplectic toric manifolds and orbifolds in nonrational directions.
Spectral clustering methods which are frequently used in clustering and community detection applications are sensitive to the specific graph constructions particularly when imbalanced clusters are present. We show that ratio cut (RCut) or normalized cut (NCut) objectives are not tailored to imbalanced cluster sizes sin…
Functor connects symplectic and contact structures via cutting and blowups.
In this paper we investigate the small time heat kernel asymptotics on the cut locus on a class of surfaces of revolution, which are the simplest 2-dimensional Riemannian manifolds different from the sphere with non trivial cut-conjugate locus. We determine the degeneracy of the exponential map near a cut-conjugate poi…
Proves a generalized Whitehead cut vertex lemma for tree groups.
Extends Milnor invariants to surface-links using cut-diagrams.
In this contribution, we present a novel approach for segmenting laser radar (lidar) imagery into geometric time-height cloud locations with a fully convolutional network (FCN). We describe a semi-supervised learning method to train the FCN by: pre-training the classification layers of the FCN with image-level annotati…
This paper improves Gaussian process predictions by integrating prior knowledge.
We show how to associate an R-tree to the set of cut points of a continuum. If X is a continuum without cut points we show how to associate an R-tree to the set of cut pairs of X.
Surgeons normally need surgical scissors and tissue grippers to cut through a deformable surgical tissue. The cutting accuracy depends on the skills to manipulate these two tools. Such skills are part of basic surgical skills training as in the Fundamentals of Laparoscopic Surgery. The gripper is used to pinch a point …
The paper extends IPC framework to stationary physical systems and validates it with a photonic system.
A new spectrum recovers cobordism cut and paste groups of manifolds with boundary.
We study the relationship between two concepts: cut limits and hyperbolic extensions.