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.
Study groups of order 64 and non-homeomorphic double Kodaira fibrations with same invariants.
We characterize the para-associative ternary quasigroups (flocks) applicable to knot theory, and show which of these structures are isomorphic. We enumerate them up to order 64. We note that the operation used in knot-theoretic flocks has its non-associative version in extra loops. We use a group action on the set of f…
New unoriented versions of Schur and Bogomolov multipliers for finite groups.
An image pattern can be represented by a probability distribution whose density is concentrated on different low-dimensional subspaces in the high-dimensional image space. Such probability densities have an astronomical number of local modes corresponding to typical pattern appearances. Related groups of modes can join…
Y. Nikonorov completes a proof in a geometry paper.
The study shows involutory quandles of certain links are not left-orderable.
Study K-theory of homogeneous spaces of Lie groups.
A new optimization method reduces memory and compute requirements for deep learning.
In the description of the instanton Floer homology of a surface times a circle due to Muñoz, we compute the nilpotency degree of the endomorphism . We then compute the framed instanton homology of a surface times a circle with non-trivial bundle, which is closely related to the kernel of . We discuss th…
A new sampling method called Restart improves both speed and quality of generative processes.
We propose a principled method for gradient-based regularization of the critic of GAN-like models trained by adversarially optimizing the kernel of a Maximum Mean Discrepancy (MMD). We show that controlling the gradient of the critic is vital to having a sensible loss function, and devise a method to enforce exact, ana…
Solar improves variable selection in high-dimensional data with complicated dependence structures.
The paper explores conditions for the existence of orthogonal almost complex structures on manifolds.
SciRE-Solver accelerates DMs sampling by recursively calculating the score function derivative.
We use Floer's exact triangle to study the u-map (cup product with the 4-dimensional class) in the Floer cohomology groups of admissible SO(3) bundles over closed, oriented 3-manifolds. In the case of non-trivial bundles we show that (u^2-64)^n = 0 for some positive integer n. For homology 3-spheres Y the same holds fo…
James's octonionic Stiefel spaces questions answered partially.
We propose studies of special Riemannian geometries with structure groups , , and in respective dimensions 5, 8, 14 and 26. These geometries, have torsionless models with symmetry groups , $G_2=SU(3)\times SU(3)…
Proposes new methods for Markov chain choice models with panel data.
New cube complexes disprove Kalai's conjecture about sphere facets.
Background: Fluctuating hearing loss is characteristic of Meniere's Disease (MD) during acute episodes. However, no reliable audiometric hallmarks are available for counselling the hearing recovery possibility. Aims/Objectives: To find parameters for predicting MD hearing outcomes. Material and Methods: We applied mach…
We developed a convolution neural network (CNN) on semi-regular triangulated meshes whose vertices have 6 neighbours. The key blocks of the proposed CNN, including convolution and down-sampling, are directly defined in a vertex domain. By exploiting the ordering property of semi-regular meshes, the convolution is defin…
Improved Thompson Sampling algorithms for bandits with tighter regret bounds.
Generative adversarial networks have been successfully applied to inpainting in natural images. However, the current state-of-the-art models have not yet been widely adopted in the medical imaging domain. In this paper, we investigate the performance of three recently published deep learning based inpainting models: co…
This study uses ARM to analyze pedestrian crashes under different lighting conditions.
We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated. The principal objective in this paper is to present an adaptation of our theory of differential forms developed in [International Journal of…
SeqRF straightens generative model flows to speed up sampling.
A new sampling method balances multi-label datasets by preserving category frequency order.
Ascending numbers are determined for 64 knots with at most n=10 crossings. After proving the theorem about the signature of alternating knot families, we distinguished all families of knots obtained from generating alternating knots with at most 10 crossings, for which the unknotting number can be confirmed by using th…
Proves classification of 4D complete intersections up to diffeomorphism.
Proves HNN extensions of nilpotent groups are left-orderable, constructs non-left-orderable examples.
We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd order Euler-Lagrange equations on the 2nd order tangent group from the 1st order Euler-Lagrange equ…
Paper defines benchmarks for learning new tasks sequentially.
ARTEMIS combines deep learning and symbolic reasoning for financial predictions.
Enhanced SMC uses gradients from CRN-PF in Langevin proposals for improved state and parameter estimation.
Improved road segmentation on low-res LIDAR data for autonomous vehicles.
Efficiently samples posterior distributions using Langevin dynamics.
The paper constructs Ricci-flat Kähler manifolds with specific decay properties.
Study of group orderability using tensor and exterior squares.
New criterion for bi-ordering free groups under automorphisms.
Tensor factorization has become an increasingly popular approach to knowledge graph completion(KGC), which is the task of automatically predicting missing facts in a knowledge graph. However, even with a simple model like CANDECOMP/PARAFAC(CP) tensor decomposition, KGC on existing knowledge graphs is impractical in res…
In this study an Artificial Neural Network was trained to classify musical instruments, using audio samples transformed to the frequency domain. Different features of the sound, in both time and frequency domain, were analyzed and compared in relation to how much information that could be derived from that limited data…
It is well known that a countable group admits a left-invariant total order if and only if it acts faithfully on R by orientation preserving homeomorphisms. Such group actions are special cases of group actions on simply connected 1-manifolds, or equivalently, actions on oriented order trees. We characterize a class of…
We present an approximated maximum likelihood method for the multifractal random walk processes of [E. Bacry et al., Phys. Rev. E 64, 026103 (2001)]. The likelihood is computed using a Laplace approximation and a truncation in the dependency structure for the latent volatility. The procedure is implemented as a package…
Bi-orderable groups from left-orderable ones, showing non-profinite properties.
Sample-Rank simplifies MO recommendations by sampling and ranking, improving revenue with stable conversion rates.
Uniform covers with a finite-dimensional nerve are rare (i.e., do not form a cofinal family) in many separable metric spaces of interest. To get hold on uniform homotopy properties of these spaces, a reasonably behaved notion of an infinite-dimensional metric polyhedron is needed; a specific list of desired properties …
We consider the problem of estimating human pose and trajectory by an aerial robot with a monocular camera in near real time. We present a preliminary solution whose distinguishing feature is a dynamic classifier selection architecture. In our solution, each video frame is corrected for perspective using projective tra…
The paper explores circular orderability in 3-manifold groups, related to the L-space conjecture.