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arXiv research

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.

168,695 papers · 148 categories

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17345067 · Jun 202619922001200920172026
48 results for line profiles

A new method interprets astrophysical spectra using geometric paths to distinguish line profiles.

problem Tackling the indistinguishability of spectral line profiles under scalar summaries.
method Introduces a geometric representation of line profiles using rough path theory, mapping profiles to a common velocity grid and defining descriptors from path properties.
result Compact descriptors separate morphologies with similar scalar summaries, revealing ordered line structures.

It is known that for any non-zero Min(1/4,infty)M in (-1/4,infty), if we roll the conic {(x,y): 4 x^2-y^2/M}=1} on a line in a plane, and then we rotate about this line the trace of a focus, then we obtain a surface of revolution D(M) with mean curvature 1. If M<=0, D(M) is embedded and it is called unduloid, if M>0, D(M) is not e…

2010-01-28abs ↗pdf ↗

In a previous paper the author introduced the notion of TreadmillSled of a curve, which is an operator that takes regular curves in R^2 to curves in R^2. This operator turned out to be very useful to describe helicoidal surfaces, for example, it provides an interpretation for the profile curve of helicoidal surfaces wi…

2011-05-17abs ↗pdf ↗

Plasma tomography consists in reconstructing the 2D radiation profile in a poloidal cross-section of a fusion device, based on line-integrated measurements along several lines of sight. The reconstruction process is computationally intensive and, in practice, only a few reconstructions are usually computed per pulse. I…

2018-02-02abs ↗pdf ↗

We study the geometry of the cuspidal edge MM in R3\mathbb R^3 derived from its contact with planes and lines (referred to as flat geometry). The contact of MM with planes is measured by the singularities of the height functions on MM. We classify submersions on a model of MM by diffeomorphisms and recover the cont…

2016-10-27abs ↗pdf ↗

A new framework evaluates model performance on single input points, revealing insights into data and model structure.

problem Traditional evaluation methods in machine learning are insufficient for understanding model performance and data structure.
method Developed a pointwise framework to measure model performance on individual input points, analyzing the relationship between pointwise and average performance.
result Profiles of data points reveal different types of correlations between pointwise and average performance, challenging existing models of learning.

Study nonnegatively curved Alexandrov spaces, proving isoperimetric conditions and structure at infinity.

problem Characterize Alexandrov spaces with nonnegative curvature and structure at infinity.
method Variational approach, focusing on volume growth, cylinder asymptotics, and isoperimetric sets.
result Equivalence of conditions on volume growth, cylinder asymptotics, and isoperimetric profile.

Profile entropy measures learnability and compressibility of discrete distributions.

problem Understanding the learnability and compressibility of discrete distributions.
method Investigates profile entropy, showing its role in estimation, inference, and compression.
result Profile entropy is a fundamental measure unifying estimation, inference, and compression.

Method controls extrapolation in prediction profiles for statistical and machine learning models.

problem Avoiding invalid predictions due to extrapolation in prediction profiles.
method Genetic algorithm optimization over constrained factor regions.
result Optimal factor settings without constraint are often invalid and extrapolated.

We equip many non compact non simply connected surfaces with smooth Riemannian metrics whose isoperimetric profile is smooth, a highly non generic property. The computation of the profile is based on a calibration argument, a rearrangement argument, the Bol-Fiala curvature dependent inequality, together with new result…

2007-01-07abs ↗pdf ↗

We introduce a spectrum of monotone coarse invariants for metric measure spaces called Poincaré profiles. The two extremes of this spectrum determine the growth of the space, and the separation profile as defined by Benjamini--Schramm--Timár. In this paper we focus on properties of the Poincaré profiles of groups with …

2017-07-07abs ↗pdf ↗

Logarithmic separation profile in hyperbolic groups shows hierarchical structure.

problem Understanding hierarchical structure in hyperbolic groups with logarithmic separation.
method Proving groups with logarithmic separation split over cyclic groups and providing counterexamples.
result Not all groups with hierarchical structure have logarithmic separation profile.

Framework detects shape shifts in functional profiles using Fréchet mean and shape invariant model.

problem Detecting shape shifts in functional profiles.
method Combining Fréchet mean and shape invariant model for interpretable parameterization of profile deviations.
result Potential shifts in shape deformation process distinguished by significant shifts in amplitude and/or phase.

Study compares isoperimetric profiles on manifolds with integral Ricci curvature bounds.

problem Comparing isoperimetric profiles on manifolds with integral Ricci curvature bounds.
method Extending previous work, the study uses integral bounds on Ricci curvature to prove comparison results for isoperimetric profile functions.
result Comparison results for the Isoperimetric profile function in manifolds with integral bounds on Ricci curvature.

Estimates lower bounds for isoperimetric profiles and improves on previous estimates for specific manifolds.

problem Estimating lower bounds for isoperimetric profiles of specific Riemannian manifolds.
method Explicit lower bounds for isoperimetric profiles of Riemannian product manifolds.
result Improved lower bounds for isoperimetric profiles and Yamabe constants.

In the context of sub-Riemannian Heisenberg groups Hn, n \geq 1, we shall study Isoperimetric Profiles, which are closed compact hypersurfaces having constant horizontal mean curvature, very similar to ellipsoids. Our main goal is to study the stability of Isoperimetric Profiles.

2011-10-04abs ↗pdf ↗

Paper describes profiles of multivariate normal distributions and novel estimators for mutual information.

problem Estimating mutual information for complex distributions.
method Analytical description of profiles, introduction of Bend and Mix Models, Monte Carlo estimation.
result Bend and Mix Models accurately estimate mutual information profiles and provide Bayesian estimates.

Random layer-wise pruning profiles are as effective as metric-based ones for various datasets.

problem Reduction of model size and computational resources in neural networks.
method Conducted baseline experiments, developed RL-based search algorithm for finding transferable layer-wise pruning profiles.
result RL-based layer-wise pruning profiles are as good or better than best profiles found on the original dataset via exhaustive search.

The study analyzes how large language models form and express investor risk profiles.

problem Understanding how large language models (LLMs) form and express investor risk profiles.
method Examined three LLMs (GPT, Gemini, and Llama) and assessed their responses to a standardized risk questionnaire under varying prompts.
result LLMs generally form long-term investment profiles, but they exhibit different risk tolerance levels.

A new framework for adaptive behavior using reusable value profiles.

problem Adaptive behavior in changing environments requires switching among value-control regimes, but maintaining separate parameters for each situation is impractical.
method Introduces value profiles: reusable bundles of parameters assigned to hidden states, allowing for state-conditional strategy recruitment without independent parameters for each context.
result Profile-based models outperform simpler alternatives in probabilistic reversal learning, suggesting belief-dependent control of adaptive behavior.

The hypercube's perimeter is significantly larger than expected near half volume.

problem Understanding the isoperimetric profile of the hypercube.
method Analytical proof of perimeter bounds and comparison to Gaussian isoperimetric profile.
result The isoperimetric profile of the hypercube does not converge to the Gaussian profile as dimension increases.

With the maturation of metabolomics science and proliferation of biobanks, clinical metabolic profiling is an increasingly opportunistic frontier for advancing translational clinical research. Automated Machine Learning (AutoML) approaches provide exciting opportunity to guide feature selection in agnostic metabolic pr…

2017-10-09abs ↗pdf ↗

With ongoing developments and innovations in single-cell RNA sequencing methods, advancements in sequencing performance could empower significant discoveries as well as new emerging possibilities to address biological and medical investigations. In the study, we will be using the dataset collected by the authors of Sys…

2019-12-18abs ↗pdf ↗

We study the shape of inflated surfaces introduced in \cite{B1} and \cite{P1}. More precisely, we analyze profiles of surfaces obtained by inflating a convex polyhedron, or more generally an almost everywhere flat surface, with a symmetry plane. We show that such profiles are in a one-parameter family of curves which w…

2009-07-29abs ↗pdf ↗

Develops a method to disaggregate aerosol optical depth into vertical extinction profiles.

problem Uncertainty in measuring aerosol vertical distributions due to limited observations.
method Bayesian nonparametric Gaussian process modeling using meteorological predictors.
result Model reconstructs realistic extinction profiles with well-calibrated uncertainty, outperforming idealized baselines.

New summary measures reveal geometric structure in weighted measures on manifolds.

problem Lack of geometric information in standard weight-only summaries.
method Heat-kernel entropy profiles, tracking nonuniformity across scales.
result Geometric effective sample size discounts nearby or duplicate particles.

This work addresses the {\em singularity formation} of complete non-compact solutions to the conformally flat Yamabe flow whose conformal factors have {\em cylindrical behavior at infinity}. Their singularity profiles happen to be {\em Yamabe solitons}, which are {\em self-similar solutions} to the fast diffusion equat…

2013-06-04abs ↗pdf ↗