154 citations · 166 across the 9 of their papers we have counts for
14 papers
Reliability-Aware Multimodal Sentiment Prediction Under Local Modality Missingness
Minghao Kong, Deng Yao, Xi Zhang +4
Multimodal sentiment models are usually evaluated on complete utterances, yet streams often lose a contiguous span of text, audio, or video. We study local missingness on aligned C…
60 years of cyclic monotonicity: a survey
L. De Pascale, A. Kausamo, K. Wyczesany
The primary purpose of this note is to provide an instructional summary of the state of the art regarding cyclic monotonicity and related notions. We will also present how these no…
Entropic approximation of -optimal transport problems
Guillaume Carlier, Camilla Brizzi, Luigi De Pascale
We propose an entropic approximation approach for optimal transportation problems with a supremal cost. We establish -convergence for suitably chosen parameters for the entropic…
Sufficiency of -cyclical monotonicity in a class of multimarginal optimal transport problems
Luigi De Pascale, Anna Kausamo
-cyclical monotonicity is the most important optimality condition for an optimal transport plan. While the proof of necessity is relatively easy, the proof of sufficiency is oft…
A property of Absolute Minimizers in Calculus of Variations and of solutions of the Aronsson-Euler equation
Camilla Brizzi, Luigi De Pascale
We discover a new minimality property of the absolute minimisers of supremal functionals (also known as Calculus of Variations problems).
-optimal transport for a class of quasiconvex cost functions
Camilla Brizzi, Luigi De Pascale, Anna Kausamo
We consider the -optimal mass transportation problem \[ \min_{Π(μ, ν)} γ-\mathrm{ess\,sup\,} c(x,y), \] for a new class of costs for which we introduce a tentati…
On deterministic solutions for multi-marginal optimal transport with Coulomb cost
Ugo Bindini, Luigi De Pascale, Anna Kausamo
In this paper we study the three-marginal optimal mass transportation problem for the Coulomb cost on the plane . The key question is the optimality of the so-called Seidl ma…
A study of the dual problem of the one-dimensional L-infinity optimal transport problem with applications
Luigi De Pascale, Jean Louet
The Monge-Kantorovich problem for the infinite Wasserstein distance presents several peculiarities. Among them the lack of convexity and then of a direct duality. We study in dimen…
Continuity and estimates for multimarginal optimal transportation problems with singular costs
Giuseppe Buttazzo, Thierry Champion, Luigi De Pascale
We consider some repulsive multimarginal optimal transportation problems which include, as a particular case, the Coulomb cost. We prove a regularity property of the minimizers (op…
Duality theory and optimal transport for sand piles growing in a silos
Luigi De Pascale, Chloé Jimenez
We prove existence and uniqueness of solutions for a system of PDEs which describes the growth of a sandpile in a silos with flat bottom under the action of a vertical, measure sou…
The Monge problem with vanishing gradient penalization: Vortices and asymptotic profile
Luigi De Pascale, Jean Louet, Filippo Santambrogio
We investigate the approximation of the Monge problem (minimizing \int\_ |T (x) -- x| d(x) among the vector-valued maps T with prescribed image measure T \# ) by adding a…
The Monge-Kantorovich problem for distributions and applications
Guy Bouchitté, Giuseppe Buttazzo, Luigi De Pascale
We study the Kantorovich-Rubinstein transhipment problem when the difference between the source and the target is not anymore a balanced measure but belongs to a suitable subspace…
Optimal-transport formulation of electronic density-functional theory
Giuseppe Buttazzo, Luigi De Pascale, Paola Gori-Giorgi
The most challenging scenario for Kohn-Sham density functional theory, that is when the electrons move relatively slowly trying to avoid each other as much as possible because of t…
Monge's transport problem in the Heisenberg group
Luigi De Pascale, Severine Rigot
We prove the existence of solutions to Monge transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot-Caratheod…