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.
Researchers infer gene activity in dividing cells, accounting for protein inheritance and division history.
A new method learns manifold-valued latents without an encoder.
The process of morphogenesis, which can be defined as an evolution of the form of an organism, is one of the most intriguing mysteries in the life sciences. It is clear, that gene expression patterns cannot explain the development of the precise geometry of an organism and its parts in space. Here, we suggest a set of …
Spatial separation of suspended particles based on contrast in their physical or chemical properties forms the basis of various biological assays performed on lab-on-achip devices. To electronically acquire this information, we have recently introduced a microfluidic sensing platform, called Microfluidic CODES, which c…
The paper classifies groups containing incommensurable lattices in Baumslag-Solitar complexes.
Lipid necks, large curvature bridges, are shown to be metastable.
This article introduces planar ribbons, Vergili ribbon complexes and ribbon nerves in Alexandroff-Hopf-Whitehead CW (Closure finite Weak) topological spaces. A {\em planar ribbon} (briefly, {ribbon}) in a CW space is the closure of a pair of nesting, non-concentric filled cycles that includes the boundary but does not …
A new proof of an extension theorem with bounded generators.
Solves division problem for L. Hörmander's systems.
Proves divisibility relations for symplectic curve polynomials.
Uniform convexity in divisible domains leads to hyperbolic geometry.
Paper tackles division difficulty, proposing new methods to improve accuracy.
In contrast to the many examples of convex divisible domains in real projective space, we prove that up to projective isomorphism there is only one convex divisible domain in the Grassmannian of -planes in when . Moreover, this convex divisible domain is a model of the symmetric space associ…
Division algorithm for surface group rings yields standard complexes and cohomological dimensions.
Adopting a zonal structure of electricity market requires specification of zones' borders. In this paper we use social welfare as the measure to assess quality of various zonal divisions. The social welfare is calculated by Market Coupling algorithm. The analyzed divisions are found by the usage of extended Locational …
New proof of divisibility property for certain algebraic varieties.
The paper sets lower bounds on envy-free divisions in cake-cutting problems.
The paper revisits Rokhlin's divisibility theorem and its significance.
Proves Skoda's Division Theorem using degeneration and positivity of direct image bundles.
Under certain integrability and geometric conditions, we prove division theorems for the exact sequences of holomorphic vector bundles and improve the results in the case of Koszul complex. By introducing a singular Hermitian structure on the trivial bundle, our results recover Skoda's division theorem for holomorphic …
The paper explains the topological origin of the distinction between incidence theorems over division rings and fields.
Geodesic connectedness proved for statistical manifolds with divisible cubic forms.
Algorithm learns fair division from noisy feedback in uncertain markets.
Study of characteristic numbers in 24-dimensional String manifolds.
An open convex set in real projective space is called divisible if there exists a discrete group of projective automorphisms which acts co-compactly. There are many examples of such sets and a theorem of Benoist implies that many of these examples are strictly convex, have boundary, and have word hyperbolic divid…
In this note we introduce a construction which assigns to an arbitrary manifold bundle its fiberwise orientation covering. This is used to show that the zeta classes of unoriented surface bundles are not divisible in the stable range.
Study shows non-symmetric convex sets have full boundary limits.
Supersymmetry is deeply related to division algebras. Nonabelian Yang-Mills fields minimally coupled to massless spinors are supersymmetric if and only if the dimension of spacetime is 3, 4, 6 or 10. The same is true for the Green-Schwarz superstring. In both cases, supersymmetry relies on the vanishing of a certain tr…
Study of congestion in negative curvature manifolds using fair-division algorithms.
LLMs can collude in market divisions, maximizing profits.
Constructs modular forms and proves divisibility results for odd-dimensional manifolds.
New invariants from divisibility of Lee classes for slice-torus.
In this article we consider a version of the geography question for simply-connected symplectic 4-manifolds that takes into account the divisibility of the canonical class as an additional parameter. We also find new examples of 4-manifolds admitting several symplectic structures, inequivalent under deformation and sel…
In this work, we examine the process of Tropical Polynomial Division, a geometric method which seeks to emulate the division of regular polynomials, when applied to those of the max-plus semiring. This is done via the approximation of the Newton Polytope of the dividend polynomial by that of the divisor. This process i…
HiPart offers an efficient, interactive tool for hierarchical clustering.
In this short article we give a geometric meaning of the divisibility of -theoretical Euler classes for given two spin modules. We are motivated by Furuta's 10/8-inequality for a closed spin -manifold. The role of the reducibles is clarified in the monopole equations of Seiberg-Witten theory, as done by Donaldso…
Kernel testing compares cell states in single-cell data.
New algorithms for fair item allocation with limited copies.
A definition for elliptical tempered stable distribution, based on the characteristic function, have been explained which involve a unique spectral measure. This definition provides a framework for creating a connection between infinite divisible distribution, and particularly elliptical tempered stable distribution, w…
Classically, isothermic surfaces are characterized as those surfaces which are "divisible into infinitesimal squares by their curvature lines". This characterization is the direct analogue to the definition of discrete isothermic nets. In order to understand the relations between the discrete and the smooth theory bett…
The paper connects polygon spaces with quotient spaces using spin actions and normed division algebras.
Cell detection and cell type classification from biomedical images play an important role for high-throughput imaging and various clinical application. While classification of single cell sample can be performed with standard computer vision and machine learning methods, analysis of multi-label samples (region containi…
Forest Fire Clustering discovers cell types from single-cell data.
Proposes CCCVAE for better single-cell clustering with cell-cell communication.
Matching cells over time has long been the most difficult step in cell tracking. In this paper, we approach this problem by recasting it as a classification problem. We construct a feature set for each cell, and compute a feature difference vector between a cell in the current frame and a cell in a previous frame. Then…
Improved GPLVM model for single-cell RNA-seq data.
The study identifies all possible vector field structures on specific 2D shapes.
A polynomial counterpart of the Seiberg-Witten invariant associated with a negative definite plumbed 3-manifold has been proposed by earlier work of the authors. It is provided by a special decomposition of the zeta-function defined by the combinatorics of the manifold. In this article we give an algorithm, based on mu…