About the analogy between optimal transport and minimal entropy

We describe some analogy between optimal transport and the Schr\"odinger problem where the transport cost is replaced by an entropic cost with a reference path measure. A dual Kantorovich type formulation and a Benamou-Brenier type representation formula of the entropic cost are derived, as well as contraction inequalities with respect to the entropic cost. This analogy is also illustrated with some numerical examples where the reference path measure is given by the Brownian or the Ornstein-Uhlenbeck process. Our point of view is measure theoretical and the relative entropy with respect to path measures plays a prominent role

Statistical Learning in Wasserstein Space

We seek a generalization of regression and principle component analysis (PCA) in a metric space where data points are distributions metrized by the Wasserstein metric. We recast these analyses as multimarginal optimal transport problems. The particular formulation allows efficient computation, ensures existence of optimal solutions, and admits a probabilistic interpretation over the space of paths (line segments). Application of the theory to the interpolation of empirical distributions, images, power spectra, as well as assessing uncertainty in experimental designs, is envisioned

Fuerzas tradicionales de exclusión: Una revisión de la literatura cuantitativa sobre la situación económica de los pueblos indígenas, afrodescendientes y personas con discapacidad

(Disponible en inglés) La distribución desigual de riqueza en América Latina y el Caribe esta ligada a la distribución desigual de activos (humanos y físicos) y al acceso diferenciado a los mercados y servicios. Estas circunstancias, y las correspondientes tensiones sociales, deben ser entendidas en términos de fuerzas tradicionales de exlcusión; los sectores de la población que experimentan resultados desfavorables también pueden ser reconocidos por características como etnicidad, raza, género y discapacidaes físicas. Además de revisar la literatura en exclusión social, este trabajo revisa diferentes tópicos: (i) deprivación relativa (en tierra y vivienda, infraestructura física, salud e ingresos); (ii) temas de los mercados de trabajo, incluyendo acceso a los mercados en general, así como informalidad, segregación y discriminación; (iii) los puntos de transacción de representación política, protección social y violencia; y (iv) áreas en las que el análisis aun es débil y avenidas para mayor investigación en la región.

Probing Ultrafast Dynamics with Time-resolved Multi-dimensional Coincidence Imaging: Butadiene

Time-resolved coincidence imaging of photoelectrons and photoions represents the most complete experimental measurement of ultrafast excited state dynamics, a multi-dimensional measurement for a multi-dimensional problem. Here we present the experimental data from recent coincidence imaging experiments, undertaken with the aim of gaining insight into the complex ultrafast excited-state dynamics of 1,3-butadiene initiated by absorption of 200 nm light. We discuss photoion and photoelectron mappings of increasing dimensionality, and focus particularly on the time-resolved photoelectron angular distributions (TRPADs), expected to be a sensitive probe of the electronic evolution of the excited state and to provide significant information beyond the time-resolved photoelectron spectrum (TRPES). Complex temporal behaviour is observed in the TRPADs, revealing their sensitivity to the dynamics while also emphasising the difficulty of interpretation of these complex observables. From the experimental data some details of the wavepacket dynamics are discerned relatively directly, and we make some tentative comparisons with existing ab initio calculations in order to gain deeper insight into the experimental measurements; finally, we sketch out some considerations for taking this comparison further in order to bridge the gap between experiment and theory.Comment: 18 pages, 10 figures. Pre-print of JMO submissio

Applications of nuclear physics to energy: the INFN-E project of the National Institute of Nuclear Physics (INFN)

Journal of Instrumentation article to appear in Proceedings of the 2nd International Workshop on Proton-Boron Fusion, 5-8 September, 2022, Four Points by Sheraton and INFN-LNS, Catania, Ital

Welfare Programs and Labor Supply in Developing Countries. Experimental Evidence from Latin America

This paper studies the effect of welfare programs on work incentives and the labor supply of adults in developing countries. The document builds on the experimental evaluations of three programs implemented in rural areas: Mexico’s PROGRESA, Nicaragua’s Red de Protección Social (RPS) and Honduras’ Programa de Asignación Familiar (PRAF). The impact of welfare on labor supply has been widely studied in developed countries, where most recent initiatives attempt to mitigate negative effects on work incentives. The programs under study are conditional cash transfers (CCT), which combine monetary benefits with incentives for curbing child labor and fostering the accumulation of human capital. Unlike their counterparts in developed economies, however, they do not account for potential impacts on the labor supply of adults, and there is little systematic evidence on this aspect despite a wealth of empirical studies on their intended outcomes. Comparable results for the three countries indicate mostly negative but small and non-significant effects of the programs on the employment of adults, no reallocation of labor between agricultural and other sectors, and a reduction in hours worked by adults in eligible households in RPS. Moreover, PROGRESA had a positive effect on beneficiaries’ wages. The programs did not imply major disincentives to work, despite substantial transfers, but they had some effects on local labor markets. This mechanism is related to recent findings on the indirect impact of CCTs on ineligible households, and implies that future evaluation studies and designs should account for the equilibrium effects of the interventions.welfare programs, income support, labor supply, adult work incentives, conditional cash transfers, randomized control trials, developing countries.

Reverse shoulder prosthesis in patients with rheumatoid arthritis: a systematic review

PURPOSE: To obtain detailed information on the outcomes of patients with rheumatoid arthritis (RA) undergoing reverse shoulder arthroplasty (RSA) METHODS: A literature search was conducted for studies reporting on the use of RSA in RA patients from 1990 to 2014. The inclusion criteria were a report of sufficient information on pre-operative status and surgical outcome allowing evaluation of the therapeutic potential of RSA in RA. The literature search resulted in 586 hits, but only five studies that met the inclusion criteria were assessed. RESULTS: There were 100 shoulders that had been operated on, of which 87 were followed for a mean of 55.4 months, the longest follow-up being 11.9 years Most patients had glenohumeral erosive lesions of Larsen Grade III or IV. The Delta III prosthesis was implanted in most cases and in three studies bone graft was used for severe glenoid lesions. The main outcome measures employed were the Constant score (Cs) and ASES questionnaire. The mean increase in Cs and ASES score after surgery was 42.4 and 54 points, respectively. The mean post-operative forward elevation was 120.6°, the average increment being 51° and the mean increase of abduction was 58.5°. The mean prevalence of scapular notching was 35.4 %. The rate of adverse events was 31 %, but the vast majority were of minor severity. Eight prostheses underwent revision, due to infection in four. CONCLUSIONS: RSA implanted in RA patients would appear to give similar results to those obtained in massive cuff tears with or without arthropathy