Learning with privileged and sensitive information: a gradient-boosting approach.

We consider the problem of learning with sensitive features under the privileged information setting where the goal is to learn a classifier that uses features not available (or too sensitive to collect) at test/deployment time to learn a better model at training time. We focus on tree-based learners, specifically gradient-boosted decision trees for learning with privileged information. Our methods use privileged features as knowledge to guide the algorithm when learning from fully observed (usable) features. We derive the theory, empirically validate the effectiveness of our algorithms, and verify them on standard fairness metrics.

Synthesis, Characterization, In Vitro Cytological Responses, and In Vivo Bone Regeneration Effects of Low-Crystalline Nanocarbonated Hydroxyapatite.

Hydroxyapatite (HA) has been commonly used as an alternative bone substitute. But it has drawbacks, such as poor degradation and limited osteogenesis. Low-crystalline carbonated hydroxyapatite (L-CHA), which has greater biodegradability than HA, is suggested as one of the main components of bone minerals, but the exact mechanism behind the roles of carbonate substituted in biological behaviors of low-crystalline HA is still a mystery. In this study, L-CHAs with different carbonate contents were prepared, and the effects of the content on the physicochemical properties, in vitro cytological responses, and in vivo bone defects repair effects of L-CHAs were investigated. The results demonstrated that CO32- had successfully entered the lattice structure of L-CHAs with a maximum content of 9.2 wt %. Both low-crystalline undoped HA (L-HA) and L-CHAs were nanocrystalline (20-30 nm) with significantly higher specific surface areas, protein adsorption capacities, and biodegradability compared to high-crystalline HA (H-HA) with submicron crystalline size (200-400 nm). Besides, the amounts of the adsorbed protein and released Ca2+ ions increased in a carbonate-content-dependent manner. Compared to L-HA and H-HA, L-CHAs promoted the adhesion and proliferation of bone marrow mesenchymal stem cells and significantly upregulated the levels of alkaline phosphatase (ALP) activity and the expression of osteogenesis-related genes. In addition, L-CHA-9 not only showed a faster biodegradation rate but also effectively promoted bone regeneration when implanted in the critical-sized bone defects of rabbit femora. This study provided evidence for the development of L-CHA as a promising biodegradable and bioactive material with great osteoconductivity and osteogenic capability with respect to conventional HA.

Absolute spherical surface metrology by differencing rotation maps.

A simple novel method for the absolute interferometric testing of spherical surfaces is presented. This approach yields an estimate for test surface errors without changing experimental settings, such as cavity length, which may affect the apparent reference errors. The test surface is tested in three orientations: a basic position and two rotation positions. Full-surface absolute maps for each test piece are determined with the proposition that any arbitrary wavefront of a circular cross section may be expressed as a linear combination of polynomial terms and a data-processing technique based on differencing rotation maps of the rotated surface. An optimized numerical reconstruction algorithm employing the least-squares technique to determine the true azimuthal positions of part rotation is used to reconstruct the rotational data. The technique does not require any assumptions about the surfaces under test and additional measurements. The differencing rotation method provides a new approach for rotationally asymmetric removal and azimuthal errors correction in the absolute test. Experimental results are presented to compare the method proposed to the classic two-sphere method.