arXiv research

Study maximal antipodal sets in exceptional symmetric spaces.

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

Construct intrinsic Langevin dynamics for rigid inclusions on curved surfaces.

We give some general results on proper-biharmonic submanifolds of a complex space form and, in particular, of the complex projective space. These results are mainly concerned with submanifolds with constant mean curvature or parallel mean curvature vector field. We find the relation between the bitension field of the i…

We introduce the use of a Gated Recurrent Unit (GRU) for influenza prediction at the state- and city-level in the US, and experiment with the inclusion of real-time flu-related Internet search data. We find that a GRU has lower prediction error than current state-of-the-art methods for data-driven influenza prediction …

Let S be a compact oriented surface. A homology cobordism of S is a cobordism C between two copies of S, such that both the "top" inclusion and the "bottom" inclusion of S in C induce isomorphisms in homology. Homology cobordisms of S form a monoid, into which the mapping class group of S embeds by the mapping cylinder…

The paper extends knot theory to annular and toroidal pseudo knots.

This paper describes how, in the case of algebraic surfaces, the well-known theorem of Donaldson-Uhlenbeck-Yau can be proved in a framework of generalized 'multiplier ideal sheaves', following the ideas of Siu. The key concept is that the destabilizing sheaf satisfies a differential inclusion relation. This relation is…

Determines regular homotopy classes for link immersions of simple singularities.

Research finds investors may lose from more diverse workplaces.

In this paper we consider an interval portfolio selection problem with uncertain returns and introduce an inclusive concept of satisfaction index for interval inequality relation. Based on the satisfaction index, we propose an approach to reduce the interval programming problem with uncertain objective and constraints …

Paper analyzes inclusive KL inference using Wasserstein gradient flows.

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

Let $M$ be an open Riemann surface. It was proved by Alarcón and Forstnerič (arXiv:1408.5315) that every conformal minimal immersion $M\to\mathbb R^3$ is isotopic to the real part of a holomorphic null curve $M\to\mathbb C^3$. In this paper, we prove the following much stronger result in this direction: for any $n\geq …

PAC learning simplified as bipartite matching.

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.

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.

Basic binary relations such as equality and inequality are fundamental to relational data structures. Neural networks should learn such relations and generalise to new unseen data. We show in this study, however, that this generalisation fails with standard feed-forward networks on binary vectors. Even when trained wit…

Novel algorithm reduces feature inclusion in online decision-making.

We give an example of two JSJ decompositions of a group that are not related by conjugation, conjugation of edge-inclusions, and slide moves. This answers the question of Rips and Sela stated in "Cyclic splittings of finitely presented groups and the canonical JSJ decomposition," Ann. of Math. 146 (1997), 53-109. On th…

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.

Proves Congruence Subgroup Property for two types of groups.

TransBoost improves financial inclusion by evaluating individual financial risk.

Knowledge Graph (KG) embedding has attracted more attention in recent years. Most KG embedding models learn from time-unaware triples. However, the inclusion of temporal information beside triples would further improve the performance of a KGE model. In this regard, we propose ATiSE, a temporal KG embedding model which…

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

Spatial information is not always necessary for spatio-temporal models.

Paper connects cohomologies on almost complex manifolds.

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.

TransINT embeds KGs by preserving implication rules, outperforming existing methods.

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…

New method enhances graph neural networks using contractions and hourglass persistence.

Survey on extragradient methods for solving nonlinear equations and inclusions.

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