arXiv research

Efficiently matches random graphs with inhomogeneous edge probabilities.

Network data is prevalent in many contemporary big data applications in which a common interest is to unveil important latent links between different pairs of nodes. Yet a simple fundamental question of how to precisely quantify the statistical uncertainty associated with the identification of latent links still remain…

This paper creates a comprehensive BTC transaction network dataset spanning 15 years.

Random graph matching refers to recovering the underlying vertex correspondence between two random graphs with correlated edges; a prominent example is when the two random graphs are given by Erdős-Rényi graphs $G(n,\frac{d}{n})$. This can be viewed as an average-case and noisy version of the graph isomorphism problem.…

Study ridge regression for non-identically distributed data with varying variances.

We argue that some classical local geometries are of infinity origin, i.e. their smooth formal germs are (homotopy) representations of cofibrant (di)operads in spaces concentrated in degree zero. In particular, they admit natural infinity generalizations when one considers homotopy representations of that (di)operads i…

The study quantifies topological expansion properties of complexes and their embeddings.

Machine learning detects subtle glucose changes for early diabetes diagnosis.

Method selects number of communities in weighted networks.

SIMPLE-RC method tests group membership profiles in large networks with weak signals.

The vanishing of reduced $\ell^2$-cohomology for amenable groups can be traced to the work of Cheeger & Gromov. The subject matter here is reduced $\ell^p$-cohomology for $p \in ]1,\infty[$, particularly its vanishing. Results showing its triviality are obtained, for example: when $p \in ]1,2]$ and $G$ is amenable; whe…

Elastic co-clustering improves clustering of single-cell genomic data.

GCNs favor high-degree nodes, leading to biased performance; a new method mitigates this.

Prescribing $σ_k$ curvature equations are fully nonlinear generalizations of the prescribing Gaussian or scalar curvature equations. Given a positive function $K$ to be prescribed on the 4-dimensional round sphere. We obtain asymptotic profile analysis for potentially blowing up solutions to the $σ_2$ curvature equatio…

A method to produce personalized classification models to automatically review online dating profiles on Tinder is proposed, based on the user's historical preference. The method takes advantage of a FaceNet facial classification model to extract features which may be related to facial attractiveness. The embeddings fr…

A method to describe Riemann surfaces using graph profiles is proposed.

In cheminformatics, compound-target binding profiles has been a main source of data for research. For data repositories that only provide positive profiles, a popular assumption is that unreported profiles are all negative. In this paper, we caution audience not to take this assumption for granted, and present empirica…

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

Background: While machine learning (ML) models are rapidly emerging as promising screening tools in critical care medicine, the identification of homogeneous subphenotypes within populations with heterogeneous conditions such as pediatric sepsis may facilitate attainment of high-predictive performance of these prognost…

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…

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 …

Logarithmic separation profile in hyperbolic groups shows hierarchical structure.

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

The profile of a sample is the multiset of its symbol frequencies. We show that for samples of discrete distributions, profile entropy is a fundamental measure unifying the concepts of estimation, inference, and compression. Specifically, profile entropy a) determines the speed of estimating the distribution relative t…

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

There has been a rapid proliferation of machine learning/deep learning (ML) models and wide adoption of them in many application domains. This has made profiling and characterization of ML model performance an increasingly pressing task for both hardware designers and system providers, as they would like to offer the b…

The paper models financial order books using geometric shears and directional liquidity.

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

This paper examines multifractal dynamics in cryptocurrencies using two methodologies.

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.

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

Non-Negative Matrix Factorization, NMF, attempts to find a number of archetypal response profiles, or parts, such that any sample profile in the dataset can be approximated by a close profile among these archetypes or a linear combination of these profiles. The non-negativity constraint is imposed while estimating arch…

Quantum computing tackles non-convex portfolio optimization with cardinality constraints.

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

The paper develops methods to infer membership probabilities and rank network nodes using the DCMM model.

Study lampshuffler groups' isoperimetric profiles, refining previous estimates.

Graphs with non-negative Ollivier-Ricci curvature cannot be expanders.

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

A new framework for adaptive behavior using reusable value profiles.

It is shown that, in dimensions $<8$, isoperimetric profiles of compact real analytic Riemannian manifolds are semi-analytic.

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

The first known example of a complete Riemannian manifold whose isoperimetric profile is discontinuous is given.

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…

New spectral Dehn function characterizes word-hyperbolic groups.

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…

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

We show that there is a complete connected 2-dimensional Riemannian manifold with discontinuous isoperimetric profile, answering a question of Nardulli and Pansu.

Order submission and cancellation are two constituent actions of stock trading behaviors in order-driven markets. Order submission dynamics has been extensively studied for different markets, while order cancellation dynamics is less understood. There are two positions associated with a cancellation, that is, the price…