Statistical Learning in Wasserstein Space

We seek a generalization of regression and principle component analysis (PCA) in a metric space where data points are distributions metrized by the Wasserstein metric. We recast these analyses as multimarginal optimal transport problems. The particular formulation allows efficient computation, ensures existence of optimal solutions, and admits a probabilistic interpretation over the space of paths (line segments). Application of the theory to the interpolation of empirical distributions, images, power spectra, as well as assessing uncertainty in experimental designs, is envisioned

Maximal power output of a stochastic thermodynamic engine

Classical thermodynamics aimed to quantify the efficiency of thermodynamic engines, by bounding the maximal amount of mechanical energy produced, compared to the amount of heat required. While this was accomplished early on, by Carnot and Clausius, the more practical problem to quantify limits of power that can be delivered, remained elusive due to the fact that quasistatic processes require infinitely slow cycling, resulting in a vanishing power output. Recent insights, drawn from stochastic models, appear to bridge the gap between theory and practice in that they lead to physically meaningful expressions for the dissipation cost in operating a thermodynamic engine over a finite time window. Indeed, the problem to optimize power can be expressed as a stochastic control problem. Building on this framework of stochastic thermodynamics we derive bounds on the maximal power that can be drawn by cycling an overdamped ensemble of particles via a time-varying potential while alternating contact with heat baths of different temperature (Tc cold, and Th hot). Specifically, assuming a suitable bound M on the spatial gradient of the controlling potential, we show that the maximal achievable power is bounded by [Formula presented]. Moreover, we show that this bound can be reached to within a factor of [Formula presented] by operating the cyclic thermodynamic process with a quadratic potential

The sparticle spectrum in Minimal gaugino-Gauge Mediation

We compute the sparticle mass spectrum in the minimal four-dimensional construction that interpolates between gaugino mediation and ordinary gauge mediation.Comment: 21 pages, 9 figures; V2: refs. added; V3: some typos correcte

Efek Infusa Daun Mangifera Foetida L. Terhadap Kadar Albumin Dan Total Protein Serum Tikus Dengan Kekurangan Energi Protein

Albumin sebagai komponen terbesar serum protein merupakan penanda paling sering untuk status gizi. Kekurangan energi protein (KEP) dapat mengurangi kadar albumin serum ini. Mangga bacang adalah tanaman khas Kalimantan Barat yang mengandung berbagai metabolit sekunder pada daunnya. Penelitian ini akan melihat efek infusa daun mangga bacang terhadap kadar albumin dan protein total serum tikus yang mengalami KEP. Penelitian ini merupakan penelitian eksperimental dengan desain penelitian post-test only with control groups. Tiga puluh tikus berusia 3 minggu dibagi dalam 3 kelompok: normal (n=6), restriksi (n=6) dan tikus yang diberikan infusa (infusa, n=18 dengan dosis 10 mg/kgBB, 20 mg/kgBB dan 40 mg/kgBB). Kadar albumin and protein total diukur menggunakan metode Bromocresol Green dan biuret. Kadar albumin dan total protein serum kelompok restriksi lebih rendah dibandingkan dengan kelompok normal (p=0,000). Terjadi peningkatan kadar serum albumin dan total protein dari 3 kelompok infusa yang berbanding lurus dengan dosis infusa yang diberikan dengan peningkatan tertinggi adalah pada pemberian dosis 40 mg/kgBB (p=0,006 dan p=0,024). Pemberian infusa daun mangga bacang dapat meningkatkan kadar serum albumin dan total protein tikus yang mengalami KEP

Analysis of grinding surface creation by single grit approach

This paper presents some new research findings in the investigation of single grit grinding in terms of surface creation. The investigation demonstrated that rubbing-ploughing-cutting hypothesis of grinding material removal mechanism is valid in both experiments and simulations. A finite element model (FEM) was developed to simulate the material deformation during the grit interacts with the workpiece. It was found that the cutting mechanism is the more effective in the first half of the scratch where the grit penetrates the workpiece. The ploughing is a prominent mechanism in the second half of the scratch where the grit is climbing up along the scratch path and uplifting the material at the front and the sides of it. This observation is very important to provide a greater insight into the difference between up-cut and down-cut grinding material removal mechanisms. Multi passes scratch simulations were performed to demonstrate the influence of ploughing on the ground surface formation. Moreover, by analysing the effects of grinding conditions, the shape of cutting edges and friction in grinding zone on the grinding surface formation, some useful relations between grinding performance and controllable parameters have been identified. It has demonstrated that ploughing has significant influences on ground surface formation and concluded that the influence of grit shape, friction and grinding kinetic condition should be considered together for the ploughing behaviour control, which could provide a good guidance for the improvement of grinding efficiency