32 citations · 37 across the 10 of their papers we have counts for
14 papers
In-context learning to predict critical transitions in dynamical systems
Yunus Sevinchan, Juan Nathaniel, Kai Ueltzhöffer +8
Critical transitions - abrupt, often irreversible changes in system dynamics - arise across human and natural systems, often with catastrophic consequences. Real-world observations…
Talagrand-type transport inequalities for path spaces over Carnot groups
Peter K. Friz, Helena Kremp, Vaios Laschos +2
We consider Talagrand-type transportation inequalities for the law of Brownian motion on Carnot groups. An important example is the lift of standard Brownian motion to the Brownian…
Universal Neural Optimal Transport
Jonathan Geuter, Gregor Kornhardt, Ingimar Tomasson +1
Optimal Transport (OT) problems are a cornerstone of many applications, but solving them is computationally expensive. To address this problem, we propose UNOT (Universal Neural Op…
Evolutionary Variational Inequalities on the Hellinger-Kantorovich and Spherical Hellinger-Kantorovich spaces
Vaios Laschos, Alexander Mielke
We study the minimizing movement scheme for families of geodesically semi-convex functionals defined on either the Hellinger-Kantorovich or the Spherical Hellinger-Kantorovich spac…
Training Generative Networks with general Optimal Transport distances
Vaios Laschos, Jan Tinapp, Klaus Obermayer
We propose a new algorithm that uses an auxiliary neural network to express the potential of the optimal transport map between two data distributions. In the sequel, we use the afo…
Exit Time Risk-Sensitive Control for Systems of Cooperative Agents
Paul Dupuis, Vaios Laschos, Kavita Ramanan
We study sequences, parametrized by the number of agents, of many agent exit time stochastic control problems with risk-sensitive cost structure. We identify a fully characterizing…
Risk-Sensitive Partially Observable Markov Decision Processes as Fully Observable Multivariate Utility Optimization problems
Arsham Afsardeir, Andreas Kapetanis, Vaios Laschos +1
We provide a new algorithm for solving Risk Sensitive Partially Observable Markov Decisions Processes, when the risk is modeled by a utility function, and both the state space and…
Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures
Vaios Laschos, Alexander Mielke
We study general geometric properties of cone spaces, and we apply them on the Hellinger--Kantorovich space We exploit a two-…
A Fenchel-Moreau-Rockafellar type theorem on the Kantorovich-Wasserstein space with Applications in Partially Observable Markov Decision Processes
Vaios Laschos, Klaus Obermayer, Yun Shen +1
By using the fact that the space of all probability measures with finite support can be somehow completed in two different fashions, one generating the Arens-Eells space and anothe…
Gradient flow structure for McKean-Vlasov equations on discrete spaces
Matthias Erbar, Max Fathi, Vaios Laschos +1
In this work, we show that a family of non-linear mean-field equations on discrete spaces can be viewed as a gradient flow of a natural free energy functional with respect to a cer…
Large deviations for configurations generated by Gibbs distributions with energy functionals consisting of singular interaction and weakly confining potentials
Paul Dupuis, Vaios Laschos, Kavita Ramanan
We establish large deviation principles (LDPs) for empirical measures associated with a sequence of Gibbs distributions on -particle configurations, each of which is defined in…
On a conjecture regarding the upper graph box dimension of bounded subsets of the real line
Vaios Laschos, Giorgos Kelgiannis
Let X \subset R be a bounded set; we introduce a formula that calculates the upper graph box dimension of X (i.e.the supremum of the upper box dimension of the graph over all unifo…
Wasserstein gradient flows from large deviations of thermodynamic limits
Manh Hong Duong, Vaios Laschos, Michiel Renger
We study the Fokker-Planck equation as the hydrodynamic limit of a stochastic particle system on one hand and as a Wasserstein gradient flow on the other. We write the rate functio…
Relations between - and Pointwise Convergence of Families of Functions Indexed by the Unit Interval
Vaios Laschos, Christian Mönch
We construct a variety of mappings of the unit interval into to generalize classical examples of -convergence of sequences of functions with s…