In nonlinear imaging problems whose forward model is described by a partial differential equation (PDE), the main computational bottleneck in solving…

The analytic structure of the quark propagator in Minkowski space is more complex than in Euclidean space due to the possible existence of poles and …

We study the stability of static spherically symmetric charged black holes under tensor type perturbations in Lovelock theory which is a natural high…

Distance metric learning (DML) is an important task that has found applications in many domains. The high computational cost of DML arises from the l…

Calibration parameters in deterministic computer experiments are those attributes that cannot be measured or available in physical experiments. Kenne…

The Rayleigh--Taylor instability of two immiscible fluids in the limit of small Atwood numbers is studied by means of a phase-field description. In t…

We discuss the creeping motion of plugs of negligible viscosity in rough capillary tubes filled with carrier fluids. This extends Bretherton's resear…

The general relativistic effect in the anomalous magnetic moment of muons moving in the Earth’s gravitational field has been examined. The effective value of the muon magnetic moment is given as μeffm≃(1+3ϕ/c2)μm based on the Dirac equation generali…

The general relativistic effects to the anomalous magnetic moment of muons moving in the Earth's gravitational field have been examined. The Dirac eq…

In this chapter we will introduce an effective equation of state (EoS) model based on polytropes that serves to study the so called "mass twins" scen…

This paper is concerned with uniqueness, phase retrieval and shape reconstruction methods for solving inverse electromagnetic source scattering probl…

In this paper, we propose the MIML (Multi-Instance Multi-Label learning) framework where an example is described by multiple instances and associated…

Driven by various kinds of noise, ensembles of limit cycle oscillators can synchronize. In this letter, we propose a general formulation of synchroni…

Metropolis Monte Carlo simulation is a powerful tool for studying the equilibrium properties of matter. In complex condensed-phase systems, however, …

This work develops a formal framework for specifying, implementing, and analysing quantum communication protocols. We provide tools for developing si…

We consider the generalization problem for a perceptron with binary synapses, implementing the Stochastic Belief-Propagation-Inspired (SBPI) learning…

The relativistic quantum interference effects in the spacetime of slowly rotating object in the Ho\v{r}ava-Lifshitz gravity as the Sagnac effect and …

The paper is devoted to the spectral analysis of effective preconditioners for linear systems obtained via a Finite Element approximation to diffusio…

Coherence lengths of one particle states described by quantum wave functions are studied. We show that one particle states in various situations are …

The theory of confinement and deconfinement is discussed as based on the properties of the QCD vacuum. The latter are described by field correlators …

Heterogeneity is often natural in many contemporary applications involving massive data. While posing new challenges to effective learning, it can pl…

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