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.
New infinite-dimensional representations with bounded multiplicity found for Lie groups.
New method proves Jones Polynomial's connect sum property.
Paper shows unique decomposition of 3-manifolds and multiplicative property of Reidemeister torsion.
Generative model learns to create molecules with multiple properties using interpretable substructures.
We give a complete proof of a propagation theorem of multiplicity-free property from fibers to spaces of global sections for holomorphic vector bundles. The propagation theorem is formalised in three ways, aiming for producing various multiplicity-free theorems in representation theory for both finite and infinite dime…
XIMP improves molecular property prediction by integrating multiple graph representations.
Extended symmetric union with multiple tangle regions and Alexander polynomial properties.
Improved guarantees and multiple-descent curve for data approximations.
Paper defines multiplicities for quaternion eigenvalues without complex matrix concepts.
In this note, we combine the work of Ilmanen and of Colding-Ilmanen-Minicozzi to observe a uniqueness property for tangent flows at the first singular time of a smooth mean curvature flow of a closed surface in 3-dimensional Euclidean space. Specifically, if, at a fixed singular point, one tangent flow is a positive in…
We investigate a generalized stochastic model with the property known as mean reversion, that is, the tendency to relax towards a historical reference level. Besides this property, the dynamics is driven by multiplicative and additive Wiener processes. While the former is modulated by the internal behavior of the syste…
Stock price change in financial market occurs through transactions in analogy with diffusion in stochastic physical systems. The analysis of price changes in real markets shows that long-range correlations of price fluctuations largely depend on the number of transactions. We introduce the multiplicative stochastic mod…
We determine the sample complexity of pure exploration bandit problems with multiple good answers. We derive a lower bound using a new game equilibrium argument. We show how continuity and convexity properties of single-answer problems ensures that the Track-and-Stop algorithm has asymptotically optimal sample complexi…
Study on geodesics in spacetime, proving properties of multiple maximizing paths.
A gap in a paper of Rubinstein-Scharlemann is explored: new examples are found of closed orientable 3-manifolds with possibly multiple genus 2 Heegaard splittings. Properties common to all the examples in the original paper are not universally shared by the new examples: some of the new examples have Hempel distance 3,…
We prove several results on Almgren's multiple valued functions and their links to integral currents. In particular, we give a simple proof of the fact that a Lipschitz multiple valued map naturally defines an integer rectifiable current; we derive explicit formulae for the boundary, the mass and the first variations a…
In this paper we establish a strong multiplicity one type property for the length-holonomy spectrum for the three dimensional compact hyperbolic spaces. We use the analytic properties of Selberg-Gangolli-Wakayama zeta functions associated to compact hyperbolic spaces.
Most content-based image retrieval systems consider either one single query, or multiple queries that include the same object or represent the same semantic information. In this paper we consider the content-based image retrieval problem for multiple query images corresponding to different image semantics. We propose a…
In this paper, we introduce several mixed geominimal surface areas for multiple convex bodies for all . Our definitions are motivated from an equivalent formula for the mixed -affine surface area. Some properties, such as the affine invariance, for these mixed geominimal surface areas are prove…
We prove a strong multiplicity one theorem for the length spectrum of compact even dimensional hyperbolic spaces i.e. if all but finitely many closed geodesics for two compact even dimensional hyperbolic spaces have the same length, then all closed geodesics have the same length.
Solves optimal control for trading multiple mean-reverting assets.
In this paper we develop a framework for discretely compounding interest rates which is based on the forward price process approach. This approach has a number of advantages, in particular in the current market environment. Compared to the classical as well as the Lévy Libor market model, it allows in a natural way for…
Quantum reservoir computing needs coherence influx for effective information processing.
Invariant counts maximum stable umbilic splits.
Develops a method for solving optimal stopping problems with multiple exercise rights.
For functions of a single complex variable, points of multiplicity greater than are characterized by the vanishing of the first derivatives. There are various quantitative generalizations of this statement, showing that for functions that are in some sense close to having multiplicity greater than , the firs…
This paper analyzes optimal consumption strategies for loss-averse investors with multiplicative habit formation.
In this work, we study Lie groupoids equipped with multiplicative foliations and the corresponding infinitesimal data. We determine the infinitesimal counterpart of a multiplicative foliation in terms of its core and sides together with a partial connection satisfying special properties, giving rise to the concept of I…
Investigates the fundamental components of attention mechanisms.
Unified framework models multiple financial and insurance term structures.
Improved SVMs learn from few samples with composition and multiple scales.
We study the generalization properties of stochastic gradient methods for learning with convex loss functions and linearly parameterized functions. We show that, in the absence of penalizations or constraints, the stability and approximation properties of the algorithm can be controlled by tuning either the step-size o…
The paper shows how the generalization curve can have multiple peaks, influenced by data and learning algorithm biases.
Bayesian model ranks treatments in multi-response experiments.
The linear quadratic regulator (LQR) problem has reemerged as an important theoretical benchmark for reinforcement learning-based control of complex dynamical systems with continuous state and action spaces. In contrast with nearly all recent work in this area, we consider multiplicative noise models, which are increas…
Study local expansions of continuous-time processes using Ito signature properties.
New sampling-based approach for filtering problems using multiplicative Gaussian functions.
Single-timescale analysis improves convergence in multi-sequence stochastic approximation.
Most real life systems have a random component: the multitude of endogenous and exogenous factors influencing them result in stochastic fluctuations of the parameters determining their dynamics. These empirical systems are in many cases subject to noise of multiplicative nature. The special properties of multiplicative…
We analyze a notion of multiple valued sections of a vector bundle over an abstract smooth Riemannian manifold, which was suggested by W. Allard in the unpublished note "Some useful techniques for dealing with multiple valued functions" and generalizes Almgren's -valued functions. We study some relevant properties o…
The article constructs a forward utility for markets with multiple default risks.
We propose a molecular generative model based on the conditional variational autoencoder for de novo molecular design. It is specialized to control multiple molecular properties simultaneously by imposing them on a latent space. As a proof of concept, we demonstrate that it can be used to generate drug-like molecules w…
Introduces VB-structures for geometric objects on manifolds.
The article discusses extensions of Harish-Chandra's admissibility theorem.
Weakly Einstein Kähler surfaces are characterized and classified.
Framework uses dropout to efficiently explore Rashomon set for multiplicity estimation.
We introduce a new regression framework, Gaussian process regression networks (GPRN), which combines the structural properties of Bayesian neural networks with the non-parametric flexibility of Gaussian processes. This model accommodates input dependent signal and noise correlations between multiple response variables,…
Extends return risk measures to multiple assets, proving properties and comparing different risk models.