arXiv research

Proposes a method to learn stable invariant sets in dynamical systems.

Algorithm learns dynamics from past observations.

New financial models use tempered stable subordination for better correlation dynamics.

Construct Hermitian-Einstein metrics on stable holomorphic vector bundles using dynamical methods.

A framework for stable dynamic network embeddings using static methods.

Stable deep models learn dynamical systems with formal stability guarantees.

This work extracts stochastic dynamical systems with $\alpha$-stable Lévy noise.

Log-Normal Multiplicative Dynamics improves low-precision training of neural networks.

This paper studies large-width asymptotics for ReLU neural networks with α-Stable initializations.

ALE Ricci-flat manifolds stable under Ricci flow if integrable.

New algorithm learns stable LDSs with lower error and better control performance.

CVF learns stable dynamical systems from trajectories.

Kyle's equilibrium model stability proven for 1-2 trading times, but not for 3 or more.

The study assesses how financial markets' efficiency changed during the COVID-19 crisis.

This work examines the stability of GD and SGD near minima, revealing nonlinear dynamics that differ from linear analysis.

The study examines stability of specific geometric flows.

For a symmetric Hamiltonian system, lower bounds for the number of relative equilibria surrounding stable and formally unstable relative equilibria on nearby energy levels are given.

The study extends GBM to include stable nonzero prices and finds a pronounced potential well.

Anosov diffeomorphisms with integrable subbundles have coherent dynamics and spectral rigidity.

We introduce two tools, dynamical thickening and flow selectors, to overcome the infamous discontinuity of the gradient flow endpoint map near non-degenerate critical points. More precisely, we interpret the stable fibrations of certain Conley pairs $(N,L)$, established in [2,3], as a dynamical thickening of the stable…

Stable topological summary captures evolving dependency structure in dynamic Bayesian networks.

The excited states of polyatomic systems are rather complex, and often exhibit meta-stable dynamical behaviors. Static analysis of reaction pathway often fails to sufficiently characterize excited state motions due to their highly non-equilibrium nature. Here, we proposed a time series guided clustering algorithm to ge…

NAIS-Net stabilizes deep networks using non-autonomous dynamical systems.

New nonlocal neural network learns stable dynamics for deeper nonlocal structures.

The paper defines a path metric on a stable component of polynomial families.

Generative models for complex stochastic dynamics using adversarial learning.

The Almost Hermitian Curvature flow was introduced by Streets and Tian in order to study almost hermitian structures, with a particular interest in symplectic structures. This flow is given by a diffusion-reaction equation. Hence it is natural to ask the following: which almost hermitian structures are dynamically stab…

Method extracts stochastic systems with Lévy noise from data.

Stable actions of hyperbolic groups on their boundaries.

Paper develops security model and pricing for stable digital currency in quantum blockchain network.

We investigate random complex dynamics of rational or polynomial maps on the Riemann sphere. We show that regarding random complex dynamics of polynomials, generically, the chaos of the averaged system disappears at any point in the Riemann sphere due to the automatic coopeartion of many kinds of maps in the system, ev…

Minimal Lagrangians in certain curved spaces are stable under specific flows.

Stabilizes complex systems using diffusion models trained on Lyapunov functions.

We give examples of finitely presented groups containing elements with irrational (in fact, transcendental) stable commutator length, thus answering in the negative a question of M. Gromov. Our examples come from 1-dimensional dynamics, and are related to the generalized Thompson groups studied by M. Stein, I. Liousse …

Study learns dynamics of linear systems from multiple short trajectories.

The paper addresses online prediction in marginally stable systems with bounded perturbations.

Algorithm for stable allocation in heterogeneous ad-hoc networks.

Static spacetimes are stable attractors in a flow equation.

GRUs exhibit diverse dynamical behaviors but cannot mimic continuous attractors.

Proposes LAE-EnKF for improved nonlinear data assimilation.

New algorithm separates audio sources better using alpha-stable distributions.

Proposes neural delay differential equations for stable system identification with partially observed states.

Efficiently simulates Langevin dynamics on manifold using diffusion maps and finite volume schemes.

Study identifies new stable climate states in climate model.

Stable recurrent models perform similarly to unstable ones, proving useful for sequence tasks.

Model-based collaborative filtering analyzes user-item interactions to infer latent factors that represent user preferences and item characteristics in order to predict future interactions. Most collaborative filtering algorithms assume that these latent factors are static, although it has been shown that user preferen…

Paper generalizes Mochizuki's theorem to stable λ-flat bundles and explores applications to moduli spaces.

First-order methods avoid saddle points for most initializations.