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.
The background for the general mathematical link between utility and information theory investigated in this paper is a simple financial market model with two kinds of small traders: less informed traders and insiders, whose extra information is represented by an enlargement of the other agents' filtration. The expecte…
In a typical online learning scenario, a learner is required to process a large data stream using a small memory buffer. Such a requirement is usually in conflict with a learner's primary pursuit of prediction accuracy. To address this dilemma, we introduce a novel Bayesian online classi cation algorithm, called the Vi…
An extra large metric is a spherical cone metric with all cone angles greater than 2 pi and every closed geodesic longer than 2pi. We show that every two-dimensional extra large metric can be triangulated with vertices at cone points only. The argument implies the same result for Euclidean and hyperbolic cone metrics, …
New singularity theorems for warped products help analyze extra dimensions stability.
problem Stability of extra dimensions in warped product spacetimes.
method Derived new singularity theorems for warped-product spacetimes, analyzed conditions for geodesic incompleteness, and solved conditions for parallel transportation.
result Explicit conditions on the warping function that lead to geodesic incompleteness, providing insights into the intrinsic geometry of extra dimensions.
Improved bounds on the copula of a bivariate random vector are computed when partial information is available, such as the values of the copula on a given subset of [0,1]2, or the value of a functional of the copula, monotone with respect to the concordance order. These results are then used to compute model-free bo…
We extend the Yang-Baxter cocycle invariants for virtual knots by augmenting Yang-Baxter 2-cocycles with cocycles from a cohomology theory associated to a virtual biquandle structure. These invariants coincide with the classical Yang-Baxter cocycle invariants for classical knots but provide extra information about virt…
FGN improves Chinese NER by integrating glyph information and interactive context.
problem Chinese named entity recognition is challenging due to the complexity of characters and their glyphs.
method FGN uses a novel CGS-CNN structure to capture glyph and interactive information, and a sliding window method to fuse BERT and glyph representations.
result FGN achieves state-of-the-art performance on four NER datasets, improving over previous methods.
A TQFT is a functor from a cobordism category to the category of vector spaces, satisfying certain properties. An important property is that the vector spaces should be finite dimensional. For the WRT TQFT, the relevant 2+1-cobordism category is built from manifolds which are equipped with an extra structure such as a …
We introduce a learning framework called learning using privileged information (LUPI) to the computer vision field. We focus on the prototypical computer vision problem of teaching computers to recognize objects in images. We want the computers to be able to learn faster at the expense of providing extra information du…
Different variants of MFDFA technique are applied in order to investigate various (artificial and real-world) time series. Our analysis shows that the calculated singularity spectra are very sensitive to the order of the detrending polynomial used within the MFDFA method. The relation between the width of the multifrac…
We consider a set of gauge-theoretic equations on closed oriented four-manifolds, which was introduced by Vafa and Witten. The equations involve a triple consisting of a connection and extra fields associated to a principal bundle over a closed oriented four-manifold. They are similar to Hitchin's equations over compac…
Study extra-special quotients of surface braid groups and construct double Kodaira fibrations.
problem Investigate non-abelian finite quotients of surface braid groups and double Kodaira fibrations with small signature.
method Introduced diagonal double Kodaira structures to study finite quotients of pure braid groups and constructed double Kodaira fibrations.
result Proved that if a finite group admits a diagonal double Kodaira structure, then its order is at least 32, with equality if and only if the group is extra-special.
Researchers describe a new Thom form for mapping cones.
problem Developing a new Thom form for mapping cones.
method Using the mapping cone covariant derivative and Berezin integral, they explicitly write down the Thom form.
result The Thom form is closed with respect to the mapping cone differentiation, integrates to 1 along the fiber, and satisfies the transgression formula.