Spatial Evolutionary Generative Adversarial Networks

Generative adversary networks (GANs) suffer from training pathologies such as instability and mode collapse. These pathologies mainly arise from a lack of diversity in their adversarial interactions. Evolutionary generative adversarial networks apply the principles of evolutionary computation to mitigate these problems. We hybridize two of these approaches that promote training diversity. One, E-GAN, at each batch, injects mutation diversity by training the (replicated) generator with three independent objective functions then selecting the resulting best performing generator for the next batch. The other, Lipizzaner, injects population diversity by training a two-dimensional grid of GANs with a distributed evolutionary algorithm that includes neighbor exchanges of additional training adversaries, performance based selection and population-based hyper-parameter tuning. We propose to combine mutation and population approaches to diversity improvement. We contribute a superior evolutionary GANs training method, Mustangs, that eliminates the single loss function used across Lipizzaner's grid. Instead, each training round, a loss function is selected with equal probability, from among the three E-GAN uses. Experimental analyses on standard benchmarks, MNIST and CelebA, demonstrate that Mustangs provides a statistically faster training method resulting in more accurate networks

Resonant-state expansion of the Green's function of open quantum systems

Our series of recent work on the transmission coefficient of open quantum systems in one dimension will be reviewed. The transmission coefficient is equivalent to the conductance of a quantum dot connected to leads of quantum wires. We will show that the transmission coefficient is given by a sum over all discrete eigenstates without a background integral. An apparent "background" is in fact not a background but generated by tails of various resonance peaks. By using the expression, we will show that the Fano asymmetry of a resonance peak is caused by the interference between various discrete eigenstates. In particular, an unstable resonance can strongly skew the peak of a nearby resonance.Comment: 7 pages, 7 figures. Submitted to International Journal of Theoretical Physics as an article in the Proceedings for PHHQP 2010 (http://www.math.zju.edu.cn/wjd/

Pseudo-time Schroedinger equation with absorbing potential for quantum scattering calculations

The Schroedinger equation with an energy-dependent complex absorbing potential, associated with a scattering system, can be reduced for a special choice of the energy-dependence to a harmonic inversion problem of a discrete pseudo-time correlation function. An efficient formula for Green's function matrix elements is also derived. Since the exact propagation up to time 2t can be done with only t real matrix-vector products, this gives an unprecedently efficient scheme for accurate calculations of quantum spectra for possibly very large systems.Comment: 9 page

Resonance expansions in quantum mechanics

The goal of this contribution is to discuss various resonance expansions that have been proposed in the literature.Comment: 10 pages and 1 figure; presented at the Istanbul workshop on pseudo-Hermitian Hamiltonian

Time Asymmetric Quantum Physics

Mathematical and phenomenological arguments in favor of asymmetric time evolution of micro-physical states are presented.Comment: Tex file with 2 figure

The Hyperspherical Four-Fermion Problem

The problem of a few interacting fermions in quantum physics has sparked intense interest, particularly in recent years owing to connections with the behavior of superconductors, fermionic superfluids, and finite nuclei. This review addresses recent developments in the theoretical description of four fermions having finite-range interactions, stressing insights that have emerged from a hyperspherical coordinate perspective. The subject is complicated, so we have included many detailed formulas that will hopefully make these methods accessible to others interested in using them. The universality regime, where the dominant length scale in the problem is the two-body scattering length, is particularly stressed, including its implications for the famous BCS-BEC crossover problem Derivations and relevant formulas are also included for the calculation of challenging few-body processes such as recombination.Comment: 66 pages, 33 figure

Diseño de modelo de negocios para nuevo Servicio tipo Saas en empresa de votación electrónica

Ingeniero Civil IndustrialEl objetivo general de este trabajo de memoria es diseñar un modelo de negocios para una nueva plataforma tipo SaaS de votación electrónica por internet. El trabajo se encuentra patrocinado por la empresa EVoting, líder nacional en votaciones electrónicas. En la actualidad, no existen sistemas de este tipo en Chile, siendo el principal sustituto el sistema tradicional de votaciones a través de papel. El problema con éste es que requiere de un esfuerzo, por parte del votante, en tiempo y recursos para sufragar, lo que en muchos casos provoca bajas participaciones en los procesos eleccionarios y consultivos. Además, para la organización también es un esfuerzo el montaje de estas instancias. Por estos motivos, el siguiente proyecto presenta la creación y evaluación del modelo de negocios para esta plataforma web. La metodología que se utilizó como base es Running Lean, la cual centra su proceso en la herramienta Lean Canvas, cuyo foco está puesto en construir el modelo de negocios iterando, validando distintos elementos en base a conversaciones con potenciales clientes. Se determinó como segmento objetivo más atractivo para comenzar la evaluación a las Juntas de Vecinos, organizaciones territoriales cuyo objetivo es incentivar la participación, integración y desarrollo de las comunidades de vecinos. Lo primero que se hizo fue realizar un ajuste del problema/solución, validando los problemas presentados en un principio. Luego se realiza una propuesta de solución que es validada con el segmento, con lo que se construye un Producto Mínimo Viable que es testeado cuantitativamente. En cada proceso se va iterando el Lean Canvas. Se propuso utilizar un modelo de captación y retención de clientes, llamado CASAR, mediante el cual se definieron sistemas para la captura, sostenimiento, recuperación, crecimiento, referenciación y devolución a la sociedad. La evaluación económica del proyecto se hizo a través de un flujo de caja con un horizonte de 3 años, utilizando una tasa de descuento de 20%, con lo que se obtuvo un VAN de CLP$20.313.573, concluyendo que el negocio es atractivo para ser realizado. Finalmente se propusieron una serie de actividades para realizar en el futuro, con el objetivo de poner en marcha el negocio