arXiv research

Warped DLMs improve forecasting for count time series.

DLM-One speeds up language generation by 500x with continuous models.

The paper improves sparse Gaussian processes by optimizing predictive loss.

Unified continuous diffusion model outperforms discrete alternatives in scalability and quality.

DLM for BNNs fails to improve over ELBO optimization.

Dynamic linear models improve travel time prediction for congested freeways.

Learning new representations of input observations in machine learning is often tackled using a factorization of the data. For many such problems, including sparse coding and matrix completion, learning these factorizations can be difficult, in terms of efficiency and to guarantee that the solution is a global minimum.…

New RL algorithm GDPO improves DLM reasoning efficiency.

Entropy-based decoding improves DLM sampling efficiency.

New method adapts DLMs to intrinsic data dependence without prior knowledge.

Fenrir efficiently estimates Bayesian MLN-DLMs for scalable inference.

Bayesian model improves asset price forecasting using realized volatility.

Study forecasts stock returns on JSE using SGDLMs capturing cross-series dependencies.

Clustering in high-dimensional spaces is nowadays a recurrent problem in many scientific domains but remains a difficult task from both the clustering accuracy and the result understanding points of view. This paper presents a discriminative latent mixture (DLM) model which fits the data in a latent orthonormal discrim…

Improved text-to-image and multimodal understanding through adaptive generation order optimization.

Bayesian method tests Granger causality in functional time series.

We develop VAE-DLM for dynamics with geometric flows in latent space.

Geometrically proves twisted Poincaré duality for orientable Poisson manifolds.

We propose a Poisson-Lie analog of the symplectic induction procedure, using an appropriate Poisson generalization of the reduction of symplectic manifolds with symmetry. Having as basic tools the equivariant momentum maps of Poisson actions, the double group of a Poisson-Lie group and the reduction of Poisson manifold…

New Poisson structures on algebras linked to derivatives.

New Lie groups found for Poisson diffeomorphisms.

We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space $X$ is a Poisson manifold with Poisson-compatible contravariant connection, the fibre is a Poisson-Lie group in the sense of Drinfeld with bicovariant Poisson-compatible contravariant connection, and the …

We construct a Poisson isomorphism between the formal Poisson manifolds g^* and G^*, where g is a finite dimensional quasitriangular Lie bialgebra. Here g^* is equipped with its Lie-Poisson (or Kostant-Kirillov-Souriau) structure, and G^* with its Poisson-Lie structure. We also quantize Poisson-Lie dynamical r-matrices…

The paper establishes a Poisson Poincaré-Dulac theorem for Poisson-flat connections.

The first cohomology of Poisson algebras is described and conditions for its vanishing are established.

The paper normalizes Poisson saturation of coregular submanifolds.

Develops reduction method for strong Dirac maps.

We reformulate the Poisson structure discovered by Fock and Rosly on moduli spaces of flat connections over marked surfaces in the framework of Poisson structures defined by Lie algebra actions and quasitriangular $r$-matrices, and we show that it is an example of a mixed product Poisson structure associated to pairs o…

A new Poisson bracket defined on Poisson structures with applications to fixed points and cohomology.

Abstract: Homotopy Poisson algebra models for reduced spaces derived from Poisson structures.

Study Poisson algebras for Hamiltonian systems linearization.

This chapter is an attempt to present a mathematical theory of compound fractional Poisson processes. The chapter begins with the characterization of a well-known Lévy process: The compound Poisson process. The semi-Markov extension of the compound Poisson process naturally leads to the compound fractional Poisson proc…

Gaussian surrogates improve Poisson imaging performance at low doses.

Cohomology of 'book' Lie algebra Poisson structure computed.

Python toolkit for symbolic Poisson geometry calculations.

We address the question of duality for the dynamical Poisson groupoids of Etingof and Varchenko over a contractible base. We also give an explicit description for the coboundary case associated with the solutions of the classical dynamical Yang-Baxter equation on simple Lie algebras as classified by the same authors. O…

A Poisson-Lie group acting by the coadjoint action on the dual of its Lie algebra induces on it a non-trivial class of quadratic Poisson structures extending the linear Poisson bracket on the coadjoint orbits.

Symmetric Poisson structures linked to geodesic foliations and Jordan algebras.

Study of Poisson homeomorphisms and rigidity of coisotropic submanifolds.

In this paper, we first study the Poisson reductions of controlled Hamiltonian (CH) system and symmetric CH system by controllability distributions. These reductions are the extension of Poisson reductions by distribution for Poisson manifolds to that for phase spaces of CH systems with external force and control. We g…

Study of symplectic and Poisson reduction, proposing Poisson implosion.

Local formulas for Poisson structures on wrinkled fibrations are derived.

Study KMS measures in Poisson geometry, focusing on $b$-Poisson manifolds.

We provide a quasi-Poisson version of the Drinfeld's correspondence between Poisson homogeneous spaces and Lagrangian subalgebras.

We establish a 1:1 correspondence between Poisson-Lie group actions on integrable Poisson manifolds and twisted multiplicative hamiltonian actions on source 1-connected symplectic groupoids. For an action of a Poisson-Lie group $G$ on a Poisson manifold $M$, we find an explicit description of the lifted hamiltonian act…

Symplectic groupoids create Poisson integrators for complex systems.

We associate a homotopy Poisson-n algebra to any higher symplectic structure, which generalizes the common symplectic Poisson algebra of smooth functions. This provides robust n-plectic prequantum data for most approaches to quantization. UPDATE: It has been brought to my attention that the exterior product does not cl…

New Poisson structures defined on surface moduli spaces.