arXiv research

A Deep Zero-Inflated Model for Detecting North Atlantic Right Whale Presence

Study identifies NFT whales driving the market with consistent high returns.

Automatically detecting sound units of humpback whales in complex time-varying background noises is a current challenge for scientists. In this paper, we explore the applicability of Convolution Neural Network (CNN) method for this task. In the evaluation stage, we present 6 bi-class classification experimentations of …

Paper forecasts extreme Bitcoin volatility spikes using whale transactions and CryptoQuant data.

Modeling vessel speed to balance efficiency and environmental risks in Arctic shipping.

Study shows how high-budget agents can manipulate prediction markets.

Bitcoin reacts positively to USDT minting but not burning, showing state-dependence.

In 2012, JPMorgan accumulated a USD~6.2 billion loss on a credit derivatives portfolio, the so-called `London Whale', partly as a consequence of de-correlations of non-perfectly correlated positions that were supposed to hedge each other. Motivated by this case, we devise a factor model for correlations that allows for…

Research into automated systems for detecting and classifying marine mammals in acoustic recordings is expanding internationally due to the necessity to analyze large collections of data for conservation purposes. In this work, we present a Convolutional Neural Network that is capable of classifying the vocalizations o…

Hybrid model improves wind speed prediction accuracy using MLP and WOA.

Method combines latent space exploration and causal inference to interpret unknown data.

Nowadays, video game developers record every virtual action performed by their players. As each player can remain in the game for years, this results in an exceptionally rich dataset that can be used to understand and predict player behavior. In particular, this information may serve to identify the most valuable playe…

This paper presents a spermwhale' localization architecture using jointly a bag-of-features (BoF) approach and machine learning framework. BoF methods are known, especially in computer vision, to produce from a collection of local features a global representation invariant to principal signal transformations. Our idea …

Linear ODEs are solved by geodesics in hyperbolic geometry.

The paper revisits the $σ_k$-Yamabe problem and proves the existence of a conformal metric with constant $σ_2$-scalar curvature.

The paper proves foliations of solutions to the minimal surface equation in exterior domains.

The paper examines differentiability of horizons along their generators in Lorentz manifolds.

Paper introduces SCI to distinguish market signals from coordination.

Uniqueness of quasi-roots explored in right-angled Artin groups.

A new matrix concentration inequality for random products of matrices.

For a Lie group $G$ and a vector bundle $E$ we study those actions of the Lie group $TG$ on $E$ for which the action map $TG\times E \to E$ is a morphism of vector bundles, and call those \emph{affine actions}. We prove that the category $\mathrm{Vect}_{TG}^{\mathrm{aff}}\left(X\right)$ of such actions over a fixed $G$…

Detects right-veering properties in open books using combinatorial methods.

Surveying connections between graph combinatorics and algebraic right-angled Artin groups.

We introduce a notion of "quasi-right-veering" for closed braids, which plays an analogous role to "right-veering" for open books. We show that a transverse link $K$ in a contact 3-manifold $(M,ξ)$ is non-loose if and only if every braid representative of $K$ with respect to every open book decomposition that supports …

The study characterizes spacetime and modified gravity models using projective curvature tensor.

In this paper we study the right-angled Coxeter groups that acts geometrically on the Salvetti complex of a certain right-angled Artin group, which we refer to as Croke-Kleiner spaces. We prove that any right-angled Coxeter group that acts geometrically on the Croke-Kleiner spaces acts with $π/2$ angles between reflect…

Robust X-Learner improves HTE estimation in imbalanced and heavy-tailed data.

This paper develops graph theory for racks and quasigroups.

We survey the role of right-angled Artin groups in the theory of diffeomorphism groups of low dimensional manifolds. We first describe some of the subgroup structure of right-angled Artin groups. We then discuss the interplay between algebraic structure, compactness, and regularity for group actions on one--dimensional…

The Jones polynomial $V_{L}(t)$ for an oriented link $L$ is a one-variable Laurent polynomial link invariant discovered by Jones. For any integer $n\ge 3$, we show that: (1) the difference of Jones polynomials for two oriented links which are $C_{n}$-equivalent is divisible by $\left(t-1\right)^{n}\left(t^{2}+t+1\right…

We consider the question of determining whether a given group (especially one generated by involutions) is a right-angled Coxeter group. We describe a group invariant, the involution graph, and we characterize the involution graphs of right-angled Coxeter groups. We use this characterization to describe a process for c…

This paper characterizes a specific type of twisted Artin groups embedded in knot groups.

Study of Hamilton-Jacobi Theory with symmetries and integrability by quadratures.

Right-angled Artin groups are classified based on measure equivalence.

We provide geometric conditions on a pair of hyperplanes of a CAT(0) cube complex that imply divergence bounds for the cube complex. As an application, we classify all right-angled Coxeter groups with quadratic divergence and show right-angled Coxeter groups cannot exhibit a divergence function between quadratic and cu…

In this paper, we construct a right-angled 5-polytope P of finite volume such that all the right-angled Coxeter groups with Fuchsian ends obtained from P are locally rigid.

We investigate the planarity of the boundaries of right-angled Coxeter groups. We show that non-planarity of the defining graph does not necessarily imply non-planarity of every boundary of the associated right-angled Coxeter group, although it does in many cases. Our techniques yield a characterization of the triangle…

For a Catalan state $C$ of a lattice crossing $L\left( m,n\right)$ with no returns on one side, we find its coefficient $C\left( A\right)$ in the Relative Kauffman Bracket Skein Module expansion of $L\left( m,n\right)$. We show, in particular, that $C\left( A\right)$ can be found using the plucking polynomial of a …

Improved bounds on ideal vertices in right-angled hyperbolic polyhedra.

The purpose of the present paper is to study the globally and locally $\varphi$-${\cal T}$-symmetric $\left( \varepsilon \right)$-para Sasakian manifold in dimension $3$. The globally $\varphi$-${\cal T}$-symmetric $3$-dimensional $\left( \varepsilon \right)$-para Sasakian manifold is either Einstein manifold or h…

The study examines subgroups of RACGs and RAAGs, focusing on their RAAG properties.

We prove the strong Atiyah conjecture for right-angled Artin groups and right-angled Coxeter groups. More generally, we prove it for groups which are certain finite extensions or elementary amenable extensions of such groups.

We prove that among four-dimensional ideal right-angled hyperbolic polytopes the 24-cell is of minimal volume and of minimal facet number. As a corollary, a dimension bound for ideal right-angled hyperbolic polytopes is obtained.

Asymptotic geodesics in convex polygons are convex for large distances.

An algebra $A$ with identity $(a\circ b)\circ c-a\circ(b\circ c)=(a\circ c)\circ b-a\circ(c\circ b),$ is called right-symmetric. Cohomology and deformation theory for right-symmetric algebras are developed. Cohomologies of $gl_n$ and half-Witt algebras $W_n^{rsym}, p=0,$ $W_n^{rsym}({\bf m}), p>0,$ are calculated. In p…

Study orbits in right triangles, deducing periodic billiard paths and classifying orbit closures.

Let W be a 2-dimensional right-angled Coxeter group. We characterise such W with linear and quadratic divergence, and construct right-angled Coxeter groups with divergence polynomial of arbitrary degree. Our proofs use the structure of walls in the Davis complex.

The study examines the normalized volumes of right-angled hyperbolic polyhedra and their spectra.