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.
Extracts object-centric frames from unlabeled images.
Method learns to separate labeled object variations into specified and unspecified factors.
Generative model creates realistic images with 3D understanding.
This paper tackles catastrophic forgetting in neural networks by providing a unified framework for regularization-based continual learning.
We will have a deep look at the set of all -equivariant maps from the factor Lie group to the under the action manifold , both from "computational" and "observability" viewpoint. We will also be looking for the existence of "unique" structure on this set, in a way that the induced-action of Lie group be s…
ViewFool identifies adversarial viewpoints to test image recognition robustness.
Study of zero-divisors in sedenions via determinant factorization.
There are multiple sides to every story, and while statistical topic models have been highly successful at topically summarizing the stories in corpora of text documents, they do not explicitly address the issue of learning the different sides, the viewpoints, expressed in the documents. In this paper, we show how thes…
Continual Learning in artificial neural networks suffers from interference and forgetting when different tasks are learned sequentially. This paper introduces the Active Long Term Memory Networks (A-LTM), a model of sequential multi-task deep learning that is able to maintain previously learned association between sens…
Unsupervised method discovers object landmarks by factorizing image deformations.
Authors construct symplectic Lefschetz pencils on complex projective plane.
MGLM models all possible language channel factorizations for improved multilingual generation.
The paper studies groupoid structures from different viewpoints.
In this short note we study flat metric connections with antisymmetric torsion . The result has been originally discovered by Cartan/Schouten in 1926 and we provide a new proof not depending on the classification of symmetric spaces. Any space of that type splits and the irreducible factors are compact simple…
The Riemannian geometry is one of the main theoretical pieces in Modern Mathematics and Physics. The study of Riemann Geometry in the relevant literature is performed by using a well defined analytical path. Usually it starts from the concept of metric as the primary concept and by using the connections as an intermedi…
This paper explores NMF identifiability and its applications.
New formula for 3-manifold invariants using combinatorial methods.
We study a certain type of wild harmonic bundles in relation with a Toda equation. We explain how to obtain a classification of the real valued solutions of the Toda equation in terms of their parabolic weights, from the viewpoint of the Kobayashi-Hitchin correspondence. Then, we study the associated integrable variati…
The quantum cohomology of CP^1 provides a distinguished solution of the third Painleve equation. S. Cecotti and C. Vafa discovered this from a physical viewpoint. We derive it from a differential geometric viewpoint, using the theory of harmonic maps and in particular the generalized Weierstrass representation (DPW rep…
We present a probabilistic viewpoint to multiple kernel learning unifying well-known regularised risk approaches and recent advances in approximate Bayesian inference relaxations. The framework proposes a general objective function suitable for regression, robust regression and classification that is lower bound of the…
Research examines motivations and factors influencing retailers' payment method choices.
Unified framework for imitating tasks across domains with discrepancies.
We consider a triality between the Zermelo navigation problem, the geodesic flow on a Finslerian geometry of Randers type, and spacetimes in one dimension higher admitting a timelike conformal Killing vector field. From the latter viewpoint, the data of the Zermelo problem are encoded in a (conformally) Painleve-Gullst…
In an informal way, a number of thoughts on the financial crisis 2008 are presented from a physicist's viewpoint, considering the problem as a nonergodicity transition of a spin-glass type of system. Some tentative suggestions concerning the way out of the crisis are also discussed, concerning Keynesian "deficit spendi…
I use harmonic maps and minimal surfaces to study quadratic equations in groups.
Currently, machine learning plays an important role in the lives and individual activities of numerous people. Accordingly, it has become necessary to design machine learning algorithms to ensure that discrimination, biased views, or unfair treatment do not result from decision making or predictions made via machine le…
New approach to GANs using convex loss functions and kernel-based discriminators.
The change of numeraire gives very important computational simplification in option pricing. This technique reduces the number of sources of risks that need to be accounted for and so it is useful in pricing complicated derivatives that have several sources of risks. In this article, we considered the underlying mathem…
Motivated by the practical challenge in monitoring the performance of a large number of algorithmic trading orders, this paper provides a methodology that leads to automatic discovery of the causes that lie behind a poor trading performance. It also gives theoretical foundations to a generic framework for real-time tra…
In 1929, Paul Funk and Ludwig Berwald gave a characterization of Hilbert geometries from the Finslerian viewpoint. They showed that a smooth Finsler metric in a convex bounded domain of is the Hilbert geometry in that domain if and only if it is complete, if its geodesics are straight lines and if its fl…
Stacked Capsule Autoencoders reconstruct objects from images using part relationships.
We introduce the warping matrix which is a new description of oriented knots from a viewpoint of warping degree.
We survey the analogy between Kleinian groups and subgroups of the mapping class group of a surface.
The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
Classifies tilings of Euclidean and hyperbolic planes using topological methods.
The wave equation (free boson) problem is studied from the viewpoint of the relations on the symplectic manifolds associated to the boundary induced by solutions. Unexpectedly there is still something to say on this simple, well-studied problem. In particular, boundaries which do not allow for a meaningful Hamiltonian …
Study shows model-based methods require fewer samples than model-free methods for LQR tasks.
AdaptiveLRF adapts low-rank factorization for neural networks to improve generalization without sacrificing accuracy.
New findings show good representations alone are insufficient for efficient reinforcement learning.
Alternating Minimization is a widely used and empirically successful heuristic for matrix completion and related low-rank optimization problems. Theoretical guarantees for Alternating Minimization have been hard to come by and are still poorly understood. This is in part because the heuristic is iterative and non-conve…
Graphical interpretation of unfairness in causal Bayesian networks.
We explore how neural networks train to zero loss, focusing on initial scale.
A bug's perspective on polyhedral surfaces using exponential maps.
These lecture notes are based on [arXiv: math/0702714, 0907.4469, 0907.4470]. We introduce and study basic aspects of non-Euclidean geometries from a coordinate-free viewpoint.
The article studies spinor and tensor fields on curved spaces, deriving formulas and spectra.
This study examines how banks and securities markets coevolved in 19th century Belgium.
Improves deep neural network training and accuracy with adaptive basis approach.
In this paper we develop the metric theory for the outer space of a free product of groups. This generalizes the theory of the outer space of a free group, and includes its relative versions. The outer space of a free product is made of -trees with possibly non-trivial vertex stabilisers. The strategies are the same…