Chip Multi Processor (CMP) systems present interesting design challenges at the lower levels of the cache hierarchy. Private L2 caches allow easier processor-cache design reuse, thus scaling better than a system with a shared L2 cache, while offering better performance isolation and lower access latency. While some private cache management schemes that utilize space in peer private L2 caches ha...

This short paper should serve as a basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main new result is the proof of essential self-adjointness of the spatial part of a reduced normalized wave operator of the Kerr metric in a weighted L2-space. As a consequence, it leads to a purely operator t...

Such a space is unique up to isometry. We shall investigate group LIP(U) of bilipschitz homeomorphisms of U and some related groups. Indeed, the group H(U) of all homeomorphisms of U comes to mind first. However, by V. Uspenskiy [Us], U is homeomorphic to l2. So H(U) is in fact the group of homeomomorphisms of a Banach space, and can be better understood as such. For LIP(U) and for other groups...

This study introduces and evaluates a computerized approach to measuring Japanese L2 oral proficiency. We present a testing and scoring method that uses a type of structured speech called elicited imitation (EI) to evaluate accuracy of speech productions. Several types of language resources and toolkits are required to develop, administer, and score responses to this test. First, we present a c...

Prescribing geometric structures of a complex manifold often introduces interesting and important partial differential equations. A typical example of this kind is the problem of finding the Kähler metrics with constant scalar curvature on a Kähler manifold. Such a problem defines a fourth order elliptic partial differential equation. The study of these partial differential equations, including...

The common weights approach is one of the most prominent methods to further prioritize the subset of DEA efficient units. This approach can be modeled as a multiobjective problem, where one seeks for a common set of weights that locates the efficiency ratio of each unit as close as possible to the target score of 1. In such a setting, different metrics can be applied to measure the distance of ...

We present a wavelet-based approach for selecting patches in patch-based texture synthesis. We randomly select the first block that satisfies a minimum error criterion, computed from the wavelet coefficients (using 1D or 2D wavelets) for the overlapping region. We show that our wavelet-based approach improves texture synthesis for samples where previous work fails, mainly textures with prominen...

The speed gap between processors and DRAM remains a critical performance bottleneck for contemporary computer systems, which necessitates an effective management of last level caches (LLC) to minimize expensive off-chip accesses. However, because all sets in a conventional set-associative cache design are statically assigned an equal number of blocks, the LLC capacity utilization can drasticall...

The goodness-of-fit problem is explored, when the test statistic a linear combination of squared Fourier coefficients’ estimates coming from decomposition probability density. Common examples such statistics include Neyman’s and statistics, generated by L2-norms kernel estimators. We prove asymptotic normality for both null alternative hypothesis. Using these results we deduce conditions unifor...

Let M be a d-dimensional connected compact Riemannian manifold with boundary ∂M, let V∈C2(M) such that μ(dx):=eV(x)dx is probability measure, and Xt the diffusion process generated by L:=Δ+∇V τ:=inf⁡{t≥0:Xt∈∂M}. Consider conditional empirical measure μtν:=Eν(1t∫0tδXsds|t<τ) for initial distribution ν ν(∂M)<1. Thenlimt→∞⁡{tW2(μtν,μ0)}2=1{μ(ϕ0)ν(ϕ0)}2∑m=1∞{ν(ϕ0)μ(ϕm)+μ(ϕ0)ν(ϕm)}2(λm−λ0)3, where ν...