arXiv research

Construct intrinsic Langevin dynamics for rigid inclusions on curved surfaces.

3-manifold groups are uniquely identifiable via their profinite completions.

The paper explores rigidity and proximality in dynamical systems, proving new results about $C^*$-algebras.

We show a rigidity theorem for the Seiberg-Witten invariants mod 2 for families of spin 4-manifolds. A mechanism of this rigidity theorem also gives a family version of 10/8-type inequality. As an application, we prove the existence of non-smoothable topological families of 4-manifolds whose fiber, base space, and tota…

Proves nearby Lagrangian cocores are homotopically rigid in certain dimensions.

Sharp Veronese rigidity theorem for submanifolds of unit ball.

The study shows how to embed cusp-decomposable manifolds quasi-isometrically.

Study character varieties of a Coxeter group in hyperbolic and Anti-de Sitter spaces.

This paper proves a theorem about Dehn surgery using a new theorem about PSL(2, C) character varieties. Confirming a conjecture of Boyer and Zhang, this paper shows that a small hyperbolic knot in a homotopy sphere having a non-trivial cyclic slope r has an incompressible surface with non-integer boundary slope strictl…

The Helfrich functional, denoted by H^{c_0}, is a mathematical expression proposed by Helfrich (1973) for the natural free energy carried by an elastic phospholipid bilayer. Helfrich theorises that idealised elastic phospholipid bilayers minimise H^{c_0} among all possible configurations. The functional integrates a sp…

Research finds investors may lose from more diverse workplaces.

Let $N$ be at least 4. We prove that every injective homomorphism from the Torelli subgroup into $Out(F_N)$ differs from the inclusion by a conjugation in $Out(F_N)$. This applies more generally to the following subgroups: every finite-index subgroup of $Out(F_N)$ (recovering a theorem of Farb and Handel); every subgro…

Paper analyzes inclusive KL inference using Wasserstein gradient flows.

Study shows 'Belt and Road' node cities boost digital finance in China.

Researchers solve a question about embedding knots into Legendrian structures.

New solutions for soft materials' nonlinear behavior in growing spheroidal inclusions.

Study shows financial literacy, social capital, and financial tech positively impact financial inclusion of Indonesian students.

Study shows solutions of differential inclusions are homotopy equivalent in $W^{1,p}$-topology.

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using Bayesian approach: Parameter and prediction uncertainty become easily available, fac…

Inspired by the recent work of Chen-Stiénon-Xu on Atiyah classes associated to inclusions of Lie algebroids, we give a very simple criterium (in terms of those classes) for relative Poincaré-Birkhoff-Witt type results to hold. The tools we use (e.g. the first infinitesimal neighbourhood Lie algebroid) are straightforwa…

When looking at Bott's original proof of his periodicity theorem for the stable homotopy groups of the orthogonal and unitary groups, one sees in the background a differential geometric periodicity phenomenon. We show that this geometric phenomenon extends to the standard inclusion of the orthogonal group into the unit…

Study new bounds on TC of spaces with subgroup inclusions.

Paper presents a novel time series clustering algorithm for financial inclusion.

Regulating crypto and DeFi for inclusive economic advancement.

Novel algorithm reduces feature inclusion in online decision-making.

In this paper, we propose a verified numerical method for obtaining a sharp inclusion of the best constant for the embedding $H_{0}^{1}(Ω) \hookrightarrow L^{p}(Ω)$ on bounded convex domain in $\mathbb{R}^{2}$. We estimate the best constant by computing the corresponding extremal function using a verified numerical com…

We develop theory and computational methods to investigate particle inclusions embedded within curved lipid bilayer membranes. We consider the case of spherical lipid vesicles where inclusion particles are coupled through (i) intramembrane hydrodynamics, (ii) traction stresses with the external and trapped solvent flui…

Two accelerated extragradient methods converge at $O(1/k)$ rate for co-hypomonotone inclusions.

Neural random fields (NRFs), referring to a class of generative models that use neural networks to implement potential functions in random fields (a.k.a. energy-based models), are not new but receive less attention with slow progress. Different from various directed graphical models such as generative adversarial netwo…

The paper explores how the unit inclusion affects topological quantum field theories in non-semisimple categories.

TransBoost improves financial inclusion by evaluating individual financial risk.

Proof of injection from double shuffle to Kashiwara-Vergne Lie algebra.

New invariant identifies complex line arrangements with same combinatorics but different embeddings.

Chordal graphs can be used to encode dependency models that are representable by both directed acyclic and undirected graphs. This paper discusses a very simple and efficient algorithm to learn the chordal structure of a probabilistic model from data. The algorithm is a greedy hill-climbing search algorithm that uses t…

Paper generalizes extragradient methods for solving equations and inclusions with improved convergence rates.

In 2018, at the World Economic Forum in Davos it was presented a new countries' economic performance metric named the Inclusive Development Index (IDI) composed of 12 indicators. The new metric implies that countries might need to realize structural reforms for improving both economic expansion and social inclusion per…

In this paper the stability theorem of Borkar and Meyn is extended to include the case when the mean field is a differential inclusion. Two different sets of sufficient conditions are presented that guarantee the stability and convergence of stochastic recursive inclusions. Our work builds on the works of Benaim, Hofba…

Graph machine learning and Super-App data improve credit risk prediction for financial inclusion.

This paper advances extragradient methods for solving inclusions under co-hypomonotonicity.

Identifying the flavour of neutral $B$ mesons production is one of the most important components needed in the study of time-dependent $CP$ violation. The harsh environment of the Large Hadron Collider makes it particularly hard to succeed in this task. We present an inclusive flavour-tagging algorithm as an upgrade of…

Study maximal antipodal sets in exceptional symmetric spaces.

Survey on extragradient methods for solving nonlinear equations and inclusions.

Study on existence of metrics in conformal geometry with constraints on Schouten tensor.

Scalar dynamic risk measures for univariate positions in continuous time are commonly represented as backward stochastic differential equations. In the multivariate setting, dynamic risk measures have been defined and studied as families of set-valued functionals in the recent literature. There are two possible extensi…

New algorithm minimizes inclusive KL for VI, improving accuracy.

Some of the well known Fefferman like constructions of parabolic geometries end up with a new structure on the same manifold. In this paper, we classify all such cases with the help of the classical Onishchik's lists \cite{onish1} and we treat in detail the only new series of inclusions providing the spinorial structur…

We introduce a novel algorithm for the detection of possible sample corruption such as mislabeled samples in a training dataset given a small clean validation set. We use a set of inclusion variables which determine whether or not any element of the noisy training set should be included in the training of a network. We…

Given a surface of infinite topological type, there are several Teichmüller spaces associated with it, depending on the basepoint and on the point of view that one uses to compare different complex structures. This paper is about the comparison between the quasiconformal Teichmüller space and the length-spectrum Teichm…