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 Q-manifolds theory integrates Lie algebroids.
Robots can rapidly acquire new skills from demonstrations. However, during generalisation of skills or transitioning across fundamentally different skills, it is unclear whether the robot has the necessary knowledge to perform the task. Failing to detect missing information often leads to abrupt movements or to collisi…
Improves GCNNs with node transition probabilities and DropNode regularization.
Lecture notes on conifold transitions between Calabi-Yau manifolds.
We consider branes $N=I\times\so$, where $\so$ is an \ndash dimensional space form, not necessarily compact, in a Schwarzschild-AdS_{(n+2)} bulk $\mc N$. The branes have a big crunch singularity. If a brane is an ARW space, then, under certain conditions, there exists a smooth natural transition flow through the sin…
In this paper, we introduce a new machine learning (ML) model for nonlinear regression called the Boosted Smooth Transition Regression Trees (BooST), which is a combination of boosting algorithms with smooth transition regression trees. The main advantage of the BooST model is the estimation of the derivatives (partial…
New non-Kähler 3-folds constructed via log conifold transitions.
Cut-DeepONet handles discontinuities and sharp transitions in neural operators.
We consider branes in a Schwarzschild- bulk, where the stress energy tensor is dominated by the energy density of a scalar fields map $\f:N\ra \mc S$ with potential , where $\mc S$ is a semi-Riemannian moduli space. By transforming the field equation appropriately, we get an equivalent field …
NESS improves neighbor embedding for smooth cell-state transitions in single-cell data.
The paper proves -transitivity for equivariant diffeomorphisms of manifolds.
State-space models are successfully used in many areas of science, engineering and economics to model time series and dynamical systems. We present a fully Bayesian approach to inference \emph{and learning} (i.e. state estimation and system identification) in nonlinear nonparametric state-space models. We place a Gauss…
Develops a flexible model for regime transitions in time series data.
Study KMS measures in Poisson geometry, focusing on -Poisson manifolds.
A transitive smooth action of a connected Lie group G on a manifold M is called almost primitive (resp. primitive) if G doesn't contain any proper subgroup (resp. any proper normal subgroup) whose induced action on M is transitive as well. The aim of the present work is to investigate some combinatory properties of sym…
Study non-transitive pseudo-Anosov flows using group actions.
This work addresses various open questions in the theory of active learning for nonparametric classification. Our contributions are both statistical and algorithmic: -We establish new minimax-rates for active learning under common \textit{noise conditions}. These rates display interesting transitions -- due to the inte…
Paper tackles dynamic behavior of variable topology mechanisms, presenting new transition conditions.
Study shows stability of tangent bundle through conifold transitions.
The paper develops a non-transitive Cartan connection for sub-Riemannian manifolds.
In the framework of Lorentzian warped products, we study the Friedmann-Robertson-Walker cosmological model to investigate non-smooth curvatures associated with multiple discontinuities involved in the evolution of the universe. In particular we analyze non-smooth features of the spatially flat Friedmann-Robertson-Walke…
We consider the inverse mean curvature flow in Robertson-Walker spacetimes that satisfy the Einstein equations and have a big crunch singularity and prove that under natural conditions the rescaled inverse mean curvature flow provides a smooth transition from big crunch to big bang. We also construct an example showing…
We establish minimax optimal rates of convergence for estimation in a high dimensional additive model assuming that it is approximately sparse. Our results reveal an interesting phase transition behavior universal to this class of high dimensional problems. In the {\it sparse regime} when the components are sufficientl…
We classify pairs where is a --dimensional simply connected smooth manifold and a Lie group acting on transitively, effectively with compact isotropy group.
Abstract: Study of surface transitions and IDE inflections via contact geometry.
The preprint is prepared as description of results that were obtained during joint scientific project No: 71NC /2015/VNCCCT on the VIASM (Vietnam Institute for Advanced Study in Mathematics) from 08.12.2015 to 06.02.2016. The problem was formulated how to calculate so called the Mackenzie obstruction for existing of tr…
In this paper, we study the behavior of Ricci-flat Kähler metrics on Calabi-Yau manifolds under algebraic geometric surgeries: extremal transitions or flops. We prove a version of Candelas and de la Ossa's conjecture: Ricci-flat Calabi-Yau manifolds related by extremal transitions and flops can be connected by a path c…
GDM models time series with smoother transitions and interpretable states.
The paper proves smoothness of transition layers in the Allen-Cahn equation.
Study on how incomplete smooth metrics degenerate from asymptotically conical Ricci-flat Kähler metrics.
Mathematically proves SYZ conjecture for conifold transition.
We discuss the geometric foundation behind the use of stochastic processes in the frame bundle of a smooth manifold to build stochastic models with applications in statistical analysis of non-linear data. The transition densities for the projection to the manifold of Brownian motions developed in the frame bundle lead …
We extend the empirical results published in article "Empirical Evidence on Arbitrage by Changing the Stock Exchange" by means of machine learning and advanced econometric methodologies based on Smooth Transition Regression models and Artificial Neural Networks.
Proposes a differentiable LSE-ICNN for modeling multi-well potentials.
We tackle tensor denoising with unknown permutations, achieving optimal recovery with polynomial estimators.
FLUID uses flows to unify filtering and smoothing for complex systems.
High-dimensional models become unstable when sample size falls below a critical level, leading to a phase transition.
New method generates private synthetic data with optimal utility for smooth queries.
Bayesian theory explains abrupt emergence of copy subcircuit in attention.
We study the functor of points and the local functor of points (here called the Weil--Berezin functor) for smooth and holomorphic supermanifolds, providing characterization theorems and fully discussing the representability issues. In the end we examine applications to differential calculus including the transitivity t…
In this paper we complete the study of the normal holonomy groups of complex submanifolds (non nec. complete) of Cn or CPn. We show that irreducible but non transitive normal holonomies are exactly the Hermitian s-representations of [CD09, Table 1] (see Corollary 1.1). For each one of them we construct a non necessaril…
Smooth actions on manifolds can be globally defined under certain conditions.
We consider spacetimes satisfying some structural conditions, which are still fairly general, and prove convergence results for the leaves of an inverse mean curvature flow. Moreover, we define a new spacetime by switching the light cone and using reflection to define a new time function, such that the two…
New findings confirm parallels to De Giorgi's conjecture for phase transitions in higher dimensions.
Model place cells as spatial embeddings for efficient path planning and cognitive map construction.
Proposes a new model for time series that considers smooth transitions between states.
In an observed generalized semi-Markov regime, estimation of transition rate of regime switching leads towards calculation of locally risk minimizing option price. Despite the uniform convergence of estimated step function of transition rate, to meet the existence of classical solution of the modified price equation, t…
We introduce the new notion of convolution of a (smooth or generalized) valuation on a group and a valuation on a manifold acted upon by the group. In the case of a transitive group action, we prove that the spaces of smooth and generalized valuations on are modules over the algebra of compactly supported g…