Non-negative Matrix Factorization (NMF) is a part-based image representation method which adds a non-negativity constraint to matrix factorization. NMF is compatible with the intuitive notion of combining parts to form a whole face. In this paper, we propose a framework of face recognition by adding NMF constraint and classifier constraints to matrix factorization to get both intuitive features...

We present a novel skin reflectance model for faces and its application to face appearance editing. We decompose the high-dimensional bidirectional scattering surface reflectance distribution function (BSSRDF) of skin into components that can be estimated from measured data. Our model is intuitive, amenable to interactive rendering, and easy to edit. High-quality renderings come close to reprod...

Mesoscopic N-atom systems derive their structural and dynamical properties from processes coupled across multiple scales in space and time. A multiscale method for simulating these systems in the friction dominated regime from the underlying N-atom formulation is presented. The method integrates notions of multiscale analysis, Trotter factorization, and a hypothesis that the momenta conjugate t...

We thank anonymous referee #2 for the constructive and helpful criticism. A detailed response to the comments of reviewer #2 follows below. Specific comments 1. Title of paper. The title has been changed to better describe the content of the manuscript as suggested by the reviewer: “Contribution of residential wood combustion and other sources to hourly winter aerosol in Northern Sweden d...