Population Aging, Fiscal Policies, and National Saving: Predictions for Korean Economy

This paper evaluates the effects of population aging and fiscal policies on national saving in Korean situation. For the prediction of the national savings rate of Korea for the next several decades, we employ a life-cycle model, which incorporates the generational accounting approach needed to assess the distribution of fiscal burden across generations. We found that the rapid population aging and long-term budgetary imbalance will substantially lower the national savings rate in Korea. A sensitivity analysis based on an alternative model, an altruistic family model, shows that these predictions are robust to the specification of altruism among generations. In addition, the estimation results of consumption functions with respect to various kinds of wealth suggest that the annuitization of wealth due to maturing of public pensions and introduction of reverse annuity mortgage is likely to further decrease the savings rate in the future.

Large Scale Variational Bayesian Inference for Structured Scale Mixture Models

Natural image statistics exhibit hierarchical dependencies across multiple scales. Representing such prior knowledge in non-factorial latent tree models can boost performance of image denoising, inpainting, deconvolution or reconstruction substantially, beyond standard factorial "sparse" methodology. We derive a large scale approximate Bayesian inference algorithm for linear models with non-factorial (latent tree-structured) scale mixture priors. Experimental results on a range of denoising and inpainting problems demonstrate substantially improved performance compared to MAP estimation or to inference with factorial priors.Comment: Appears in Proceedings of the 29th International Conference on Machine Learning (ICML 2012

Prohibiting isolated singularities in optimal transport

We give natural topological conditions on the support of the target measure under which solutions to the optimal transport problem with cost function satisfying the (weak) Ma, Trudinger, and Wang condition cannot have any isolated singular points.Comment: 10 pages, minor correction in proof of Lemma 3.