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.
Enhances MTGP for better hierarchical latent interactions.
Develops a scalable multi-task Gaussian process with neural embedding for improved performance.
DeepICMGP surrogate models multiple outputs efficiently.
E-LMC improves spatial field prediction accuracy by linearizing complex fields.
Establishes connection between MTDNN and multitask GP, revealing weight correlation as key to task sharing.
A new model uses sparse Gaussian processes to hedge electricity market risks.
MO-GP models fill gaps in biophysical data with across-domain info transfer.
Gaussian processes (GPs), or distributions over arbitrary functions in a continuous domain, can be generalized to the multi-output case: a linear model of coregionalization (LMC) is one approach. LMCs estimate and exploit correlations across the multiple outputs. While model estimation can be performed efficiently for …
IPGP framework improves psychological assessment by integrating shared and unique traits.
Paper introduces a new model to handle multi-task learning across different input domains.
Detecting anomalies in multivariate functional data using Bayesian nonparametric methods.
Fleet control method improves sample efficiency in IoT environments.
We generalize the log Gaussian Cox process (LGCP) framework to model multiple correlated point data jointly. The observations are treated as realizations of multiple LGCPs, whose log intensities are given by linear combinations of latent functions drawn from Gaussian process priors. The combination coefficients are als…
CMDE uses deep learning to estimate causal effects from complex data.
The paper tackles counterfactual inference with multioutput deep kernels in high-dimensional settings.
A scalable MOGP model with stochastic variational inference for many outputs.
Multi-output Gaussian processes have received increasing attention during the last few years as a natural mechanism to extend the powerful flexibility of Gaussian processes to the setup of multiple output variables. The key point here is the ability to design kernel functions that allow exploiting the correlations betw…
Efficiently predicts high-fidelity PDE solutions using multi-fidelity Gaussian processes.
Traditionally, knot theorists have considered projections of knots where there are two strands meeting at every crossing. A triple crossing is a crossing where three strands meet at a single point, such that each strand bisects the crossing. In this paper we find a relationship between the triple crossing number and th…
A quadruple crossing is a crossing in a projection of a knot or link that has four strands of the knot passing straight through it. A quadruple crossing projection is a projection such that all of the crossings are quadruple crossings. In a previous paper, it was proved that every knot and link has a quadruple crossing…
Extends GP regression to complex Helmholtz problems, improving wavefield inference in brain elastography.
We introduce a local move on a link diagram named a region freeze crossing change which is close to a region crossing change, but not the same. We study similarity and difference between region crossing change and region freeze crossing change.
The paper studies unlinking links with minimal crossing changes.
Traditionally, knot theorists have considered projections of knots where there are two strands meeting at every crossing. A multi-crossing is a crossing where more than two strands meet at a single point, such that each strand bisects the crossing. In this paper we generalize ideas in traditional braid theory to multi-…
A multi-crossing (or n-crossing) is a singular point in a projection at which n strands cross so that each strand bisects the crossing. We generalize the classic result of Kauffman, Murasugi, and Thistlethwaite, which gives the upper bound on the span of the bracket polynomial of K as 4c_2(K), to the n-crossing number:…
Classifies foliations on CROSSes.
Alexander polynomial condition blocks crossing changes in some knots.
Study how region crossing change behaves on surfaces of different genus.
Proves minimal crossing diagrams for specific spatial graphs.
It is known that the arc index of alternating knots is the minimal crossing number plus two and the arc index of prime nonalternating knots is less than or equal to the minimal crossing number. We study some cases when the arc index is strictly less than the minimal crossing number. We also give minimal grid diagrams o…
Self-crossing geodesics on convex surfaces are studied.
There are non-vanishing price responses across different stocks in correlated financial markets. We further study this issue by performing different averages, which identify active and passive cross-responses. The two average cross-responses show different characteristic dependences on the time lag. The passive cross-r…
Every link in the 3-sphere has a projection to the plane where the only singularities are pairwise transverse triple points. The associated diagram, with height information at each triple point, is a triple-crossing diagram of the link. We give a set of diagrammatic moves on triple-crossing diagrams analogous to the Re…
The aim of the present paper is to prove that the minimal number of virtual crossings for some families of virtual knots grows quadratically with respect to the minimal number of classical crossings. All previously known estimates for virtual crossing number were principally no more than linear in the number of classic…
Proves special alternating knots can't have cosmetic crossings.
A triple crossing is a crossing in a projection of a knot or link that has three strands of the knot passing straight through it. A triple crossing projection is a projection such that all of the crossings are triple crossings. We prove that every knot and link has a triple crossing projection and then investigate c_3(…
Spatial graphs can be unknotted with region crossing changes.
Study shows crossing numbers of cable knots are larger than previously thought.
We define 2-crossed module bundle 2-gerbes related to general Lie 2-crossed modules and discuss their properties. A 2-crossed module bundle 2-gerbe over a manifold is defined in terms of a so called 2-crossed module bundle gerbe, which is a crossed module bundle gerbe equipped with an extra sructure. It is shown that s…
New method detects intrinsic cross-correlations in non-stationary time series affected by common factors.
The study finds significant power-law cross correlations in Bitcoin's return-volatility dynamics.
In this article, we derive concentration inequalities for the cross-validation estimate of the generalization error for empirical risk minimizers. In the general setting, we prove sanity-check bounds in the spirit of \cite{KR99} \textquotedblleft\textit{bounds showing that the worst-case error of this estimate is not m…
Superhighway bypasses data sparsity in cross-domain CF.
Two crossing homomorphisms on braid groups are shown to be equivalent.
Pseudo links have two crossing types: classical crossings and indeterminate crossings. They were first introduced by Ryo Hanaki as a possible tool for analyzing images produced by electron microscopy of DNA. A normalized bracket polynomial is defined for pseudo links and then used to construct and obstruction to cosmet…
It is classically known that generic smooth maps of R^2 into R^3 admit only cross cap singularities. This suggests that the class of cross caps might be an important object in differential geometry. We show that the standard cross cap (u,uv,v^2) has non-trivial isometric deformations with infinite dimensional freedom. …
Quantum machine learning uses quantum cross entropy to minimize loss, but measurement loss affects this process.
The paper defines and calculates an upper bound for the equivariant crossing number of two-bridge knots.