Smoothing technique for nonsmooth composite minimization with linear operator

We introduce and analyze an algorithm for the minimization of convex functions that are the sum of differentiable terms and proximable terms composed with linear operators. The method builds upon the recently developed smoothed gap technique. In addition to a precise convergence rate result, valid even in the presence of linear inclusion constraints, this new method allows an explicit treatment of the gradient of differentiable functions and can be enhanced with line-search. We also study the consequences of restarting the acceleration of the algorithm at a given frequency. These new features are not classical for primal-dual methods and allow us to solve difficult large-scale convex optimization problems. We numerically illustrate the superior performance of the algorithm on basis pursuit, TV-regularized least squares regression and L1 regression problems against the state-of-the-art.Comment: 26 pages, 5 figure

Influence of initial turbulence intensity on the heat and moisture transfer through a recirculated air curtain

An air curtain is a directed jet of air separating a controlled space from an environment of different temperature and humidity. This investigation describes the development and verification of an eddy viscosity model which accounts for the influence of the initial turbulence intensity on the transfer of heat and moisture across a recirculated air curtain. The control of the turbulence intensity at the nozzle exit of an air curtain permits control of heat and moisture transfer and therefore the energy required to operate the air curtain. Both theoretical and experimental studies were made of the recirculated air curtain. An explicit finite difference scheme was used to solve the continuity, momentum and energy equations for an air curtain at an opening of a test chamber. Eddy viscosity values as well as the jet development length were measured and used in the computer program in order to calculate the velocity, temperature and moisture concentration distributions in the air curtain. Experimental measurements of the velocity distributions confirmed the eddy viscosity model results at various initial turbulence intensities and initial velocities. The rate of heat transfer through the air curtain was evaluated from the difference of energy carried into the jet at the nozzle exit and its recirculation back into the return duct. Numerical integrations were carried out at corresponding cross sections of the air curtain in order to evaluate the flows of energy and moisture at the appropriate locations. Heat transfer rates were calculated for various initial turbulence intensities. Experimental data verified the calculated values both qualitatively and quantitatively. Results from this investigation show that a decrease of the initial turbulence intensity from 14% to 1% can reduce the energy consumption for operating the air curtain by approximately 40% --Abstract, pages ii-iii

視覚と言語情報を理解し人間や環境と作用し合う機械知能

othe

Extreme weather disaster resilient port and waterway infrastructure for sustainable global supply chain

Global supply chain is largely dependent on seaports and marine terminals. Ports serve international cargo traffic for imports and exports. About 90% of the world’s goods are transported by sea and over 70% as containerized cargo ships. Coastal hurricanes/cyclones and rainfall flood disasters cause major disruptions for sea shipping traffic, disruptions of port infrastructure, and adverse impacts on coastal communities each year. Additionally, these weather related disasters threaten millions of people, damage infrastructure, and cost billions of dollars in global supply chain disruptions. Sustainable global supply chains, port infrastructure, and coastal community impact by these extreme weather disasters are the major motivation of this research. The objectives of this research are: (1) modeling shipping demand and level of service, (2) developing Landsat-8 satellite imagery based methodology for mapping surface types and landuse, and (3) assessing the impact of coastal disasters and climate related sea level rise. The Autoregressive Integrated Moving Average (ARIMA) model equations, the Artificial Neural Networks (ANN) models, and regression equations were developed using historical containerized cargo volumes to predict the future volumes for the Port of New Orleans and the Port of New York and New Jersey. The predictions by these models indicate that the ANN model achieves the most accurate predicted values, compared to reported volume. However, the ANN approach requires future values of independent variable inputs to calculate the forecast. Therefore, applying the ANN model was recommended for short-term prediction for these ports. The ARIMA model equation was applied for long-term prediction because it does not need other independent variable inputs. Results of cargo vessel volume analysis for ten selected international shipping navigation routes using Automatic Identification System (AIS) data show that the Europe Atlantic route to the East Coast of the U.S. has the largest cargo vessel volumes. A spatial map of cargo vessel demand for selected navigation routes was also created. A level of service (LOS) methodology for cargo vessel service was developed using AIS data for the Port of Miami to evaluate the operating conditions of a seaport. A mathematical function to estimate LOS level (A, B, C, D, E, F) was proposed based on delay time and waiting time of cargo vessels at the port and number of processed cargo vessels per total annual cargo vessels. A new methodology was developed to classify built and non-built surfaces using Landsat-8 satellite imagery. Groundtruth samples of the Landsat-8 pansharpened multispectral satellite imageries from six selected sites were sampled and used to develop the Landsat-8 Built-up Area and Natural Surface (L-BANS) auto-classification methodology. The L-BANS surface classification results for most sites using GeoMedia Pro geospatial analysis were within ±15% of the groundtruth. Based on analysis of variance (ANOVA) hypothesis testing results, the difference between the L-BANS results and the groundtruth was not statistically significant. The anthropogenic CO2 based global warming hypothesis was evaluated to undertand climate impacts. Measured global temperature and atmospheric carbon dioxide (CO2) data from 1958 to 2016 were analyzed. The final ARIMA time series seasonal model equation for monthly global temperature data had a high R value of 0.989 with only 2.25% difference compared to measured values. The final ARIMA model equation for monthly CO2 data provided reasonably accurate results for 2016 monthly measured CO2 data with high a R value of 0.999 with only 0.0025% difference compared to measured values. The results show that there is very poor crosscorrelation (0.08) between global temperature and CO2. Both IPCC and EPA models predict unreasonably high values of CO2 until 2050. This research shows that contrary to the IPCC claims, global warming is not caused by anthropogenic CO2. Rainfall flood simulations were conducted for five selected port cities using the one dimension (1-D) U.S. Army Hydrologic Engineering Center’s River Analysis System (HEC-RAS). Results of the rainfall flood simulations indicate that these selected port cities are at great risk to extreme floods, in which more than 37% of the land area of each port city is inundated by floodwater. This dissertation also presents the Center for Advanced Infrastructure Technology (CAIT) methodologies to evaluate the land submerged from 2 m sea level rise (SLR) related to climate impacts by the year 2100 and the impact of 2 m, 4 m, and 9 m tsunami wave peak heights (WPH) on the selected port cities. The results show that extreme rainfall flood, which can happen any year, is more disastrous to people and infrastructures compared to 2 m SLR and 2 m tsunami WPH. A resilience management plan was recommended to protect both people and infrastructure from coastal hazards. In response to SLR and tsunami, the seawall around port infrastructures should be improved and raised to 2 m height to protect life infrastructure and communities in the port cities. This research will benefit port authorities, maritime and waterway cargo shipping enterprises, and port cities in reducing impacts on communities and enhancing disaster resilience of port infrastructures, which are imperative for minimizing disruptions in the global supply chain and sustaining the world economy

視覚と言語情報を理解し人間や環境と作用し合う機械知能

Tohoku University博士（情報科学）thesi

Solutions to weighted complex m-Hessian Equations on domains in Cn

In this paper, we first study the comparison principle for the operator $H_{\chi,m}$. This result is used to solve certain weighted complex $m-$ Hessian equations.Comment: 25 page

Maximal subextension and approximation of m−m- subharmonic function

In this paper, we first study subextensions in the classes $\mathcal{F}_{m}(\Omega)$ and $\mathcal{E}_{m,\chi}(\Omega)$. These results are then used to study approximation in the classes $\mathcal{F}_{m}(\Omega)$ and $\mathcal{E}_{m,\chi}(\Omega)$.Comment: 24 page