This work was supported by the U.S. Air Force Office of Scientific Research under MURI grant FA9550-10-1-0569, by the U.S. Defense Threat Reduction Agency under grant HDTRA1-10-1-0086, by the U.S. Defense Advanced Research Projects Agency under gran…

We consider the problem of quickly detecting a signal in a sensor network when the subset of sensors in which signal may be present is completely unk…

This work was initiated while we were visiting the Mathematical Sciences Research Institute, for whose hospitality we are grateful. Experiments with the computer algebra software Macaulay2 [M2] have provided numerous valuable insights. Raicu acknowl…

The vector space of m x n complex matrices (m >= n) admits a natural action of the group GL = GL_m x GL_n via row and column operations. For positive…

For better readibility of this section, we recall some notations and results that will be used below. Throughout this section, (x,q)∈˚K will be fixed, ˆc=ˆc(x,q) is the optimizer to (2), ˆV is the corresponding wealth process, i.e.,

We consider the problem of optimal consumption from labor income and investment in a general incomplete semimartingale market. The economic agent can…

The pillow fractal is a self-affine fractal in that the contraction mappings that produce this fractal are not rigid. The basic building blocks of the pillow are rectangles and there are two contraction maps. Both contraction maps rotate the fractal…

Much is known in the analysis of a finitely ramified self-similar fractal when the fractal has a harmonic structure: a Dirichlet form which respects …

We prove the spacetime positive mass theorem in dimensions less than eight. This theorem states that for any asymptotically flat initial data set sat…

Structural and magnetic properties of the doped terbium manganites (Tb,A)MnO3 (A = Gd, Dy and Ho) have been investigated using first-principles calcu…

Statistical dependence between hypotheses poses a significant challenge to the stability of large scale multiple hypotheses testing. Ignoring it ofte…

We show that, for each $n\ge 3$, there exists a smooth Riemannian metric $g$ on a punctured sphere $\mathbb{S}^n\setminus \{x_0\}$ for which the asso…

We analyze leptogenesis in gauge extensions of the Standard Model with keV sterile neutrino dark matter. We find that both the observed dark matter a…

A semi-quantum key distribution (SQKD) protocol allows a quantum user and a limited "classical" user to establish a shared secret key secure against …

Facing large amounts of data, subsampling is a practical technique to extract useful information. For this purpose, Wang et al. (2017) developed an O…

We study Stochastic Gradient Descent (SGD) with diminishing step sizes for convex objective functions. We introduce a definitional framework and theo…

In this paper, a novel image moments based model for shape estimation and tracking of an object moving with a complex trajectory is presented. The ca…

Since D1 and D2 are complete and separable, so is D1×D2. In addition, by assumption (Pn:n∈N) is tight, therefore it follows from Prohorov’s Theorem that (Pn:n∈N) is relatively compact. In particular, in order to complete the proof it is enough to sh…

We study a model of species survival recently proposed by Michael and Volkov. We interpret it as a variant of empirical processes, in which the sampl…

Let Q be a quiver without oriented cycles. For every vertex x∈Q0, let P(x) denote the indecomposable projective representation at x. For any two vertices x,y, denote by nxy the number of paths from x to y in Q. The vector space P(x)y of the represen…

For an acyclic quiver Q, we solve the Clebsch-Gordan problem for the projective representations by computing the multiplicity of a given indecomposab…

The rigidity of the Positive Mass Theorem states that the only complete asymptotically flat manifold of nonnegative scalar curvature and zero mass is…

The classical convergence analysis of SGD is carried out under the assumption that the norm of the stochastic gradient is uniformly bounded. While th…

In most process control systems nowadays, process measurements are periodically collected and archived in historians. Analytics applications process …

Stably inverting a dynamic system model is the foundation of numerous servo designs. Existing inversion techniques have provided accurate model appro…

Along with the rapid growth of Industrial Internet-of-Things (IIoT) applications and their penetration into many industry sectors, real-time wireless…

By signing up you accept our content policy

Already have an account? Sign in

No a member yet? Create an account