A Note On kk-Means Probabilistic Poverty

It is proven, by example, that the version of $k$-means with random initialization does not have the property \emph{probabilistic $k$-richness}.Comment: 14 page

Well-Being, Inequality and Time: The Time-Slice Problem and its Policy Implications

Should equality be viewed from a lifetime or sublifetime perspective? In measuring the inequality of income, for example, should we measure the inequality of lifetime income or of annual income? In characterizing a tax as progressive or regressive, should we look to whether the annual tax burden increases with annual income, or instead to whether the lifetime tax burden increases with lifetime income? Should the overriding aim of anti-poverty programs be to reduce chronic poverty: being badly off for many years, because of low human capital or other long-run factors? Or is the moral claim of the impoverished person a function of her current state - meaning that someone who is badly nourished, badly housed, or in pain at present has a strong claim on our aid regardless of whether this is a chronic or transient state? Should we think of the aged as a suspect class, a low-well-being group? From the sublifetime perspective, the aged are indeed a kind of suspect class, because they tend to have low current incomes and health and to be socially isolated. But the aged have lived for many years and are therefore, as a matter of lifetime well-being, relatively rich compared to the rest of the population. This Article addresses the time-slice question. I use the framework of welfarism and the formal apparatus of social welfare functions to sharpen analysis. The first half of the Article argues for the lifetime perspective. The second half surveys the implications of that perspective for a host of legal and policy issues: the measurement of equality; the measurement of poverty; the design of redistributive taxes; the question whether non-tax instruments, such as environmental regulations or tort law, should also be used for redistribution; and how the suspect class framework and other distributively sensitive policy tools should be structured. Above all, the Article aims to raise the profile of a foundational question which has been insufficiently discussed - a question that anyone who cares about equality should grapple with

Well-Being, Inequality and Time: The Time-Slice Problem and its Policy Implications

Should equality be viewed from a lifetime or sublifetime perspective? In measuring the inequality of income, for example, should we measure the inequality of lifetime income or of annual income? In characterizing a tax as progressive or regressive, should we look to whether the annual tax burden increases with annual income, or instead to whether the lifetime tax burden increases with lifetime income? Should the overriding aim of anti-poverty programs be to reduce chronic poverty: being badly off for many years, because of low human capital or other long-run factors? Or is the moral claim of the impoverished person a function of her current state - meaning that someone who is badly nourished, badly housed, or in pain at present has a strong claim on our aid regardless of whether this is a chronic or transient state? Should we think of the aged as a suspect class, a low-well-being group? From the sublifetime perspective, the aged are indeed a kind of suspect class, because they tend to have low current incomes and health and to be socially isolated. But the aged have lived for many years and are therefore, as a matter of lifetime well-being, relatively rich compared to the rest of the population. This Article addresses the time-slice question. I use the framework of welfarism and the formal apparatus of social welfare functions to sharpen analysis. The first half of the Article argues for the lifetime perspective. The second half surveys the implications of that perspective for a host of legal and policy issues: the measurement of equality; the measurement of poverty; the design of redistributive taxes; the question whether non-tax instruments, such as environmental regulations or tort law, should also be used for redistribution; and how the suspect class framework and other distributively sensitive policy tools should be structured. Above all, the Article aims to raise the profile of a foundational question which has been insufficiently discussed - a question that anyone who cares about equality should grapple with

Machine Learning Theory and Practice as a Source of Insight into Universal Grammar

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Impacts of considering climate variability on investment decisions in Ethiopia:

"Extreme interannual variability of precipitation within Ethiopia is not uncommon, inducing droughts or floods and often creating serious repercussions on agricultural and non-agricultural commodities. An agro-economic model, including mean climate variables, was developed to assess irrigation and road construction investment strategies in comparison to a baseline scenario over a 12-year time horizon. The motivation for this work is to evaluate whether the inclusion of climate variability in the model has a significant effect on prospective investment strategies and the resulting country-wide economy. The mean climate model is transformed into a variable climate model by dynamically adding yearly climate-yield factors, which influence agricultural production levels and linkages to non-agricultural goods. Nine sets of variable climate data are processed by the new model to produce an ensemble of potential economic prediction indicators. Analysis of gross domestic product and poverty rate reveal a significant overestimation of the country's future welfare by the mean climate model method, in comparison to probability density functions created from the variable climate ensemble. The ensemble is further utilized to demonstrate risk assessment capabilities. The addition of climate variability to the agro-economic model provides a framework, including realistic ranges of economic values, from which Ethiopian planners may make strategic decisions." Authors' abstractClimate variability, Water, Droughts, Flooding, Irrigation Economic aspects, Road construction Economic aspects, Investments, Economic situation, Agro-economic model,