The continuation method is a popular approach in non-convex optimization and computer vision. The main idea is to start from a simple function that can be minimized efficiently, and gradually transform it to the more complicated original objective function. The solution of the simpler problem is used as the starting point to solve the original problem. We show a continuation method for discrete...

We will propose a novel solution to the free choice puzzle that is driven by empirical data from legal discourse and does not suffer from the same problems as implicature-based accounts. We will argue against implicature-based accounts and provide an entailment-based solution. Following Anderson’s violation-based deontic logic, we will demonstrate that a support-based radical inquisitive semant...

Quantitative estimates of quality factor Q are useful for a variety of applications, ranging from seismic-acquisition design, to seismic processing, amplitude analysis, and reservoir characterization. However, Q model building, which is conventionally done in the data space using ray-based tomography, is a notoriously challenging problem due to issues like spectral interference, low signal-to-n...

Most known continuation methods for P0 complementarity problems require some restrictive assumptions, such as the strictly feasible condition and the properness condition, to guarantee the existence and the boundedness of certain homotopy continuation trajectory. To relax such restrictions, we propose a new homotopy formulation for the complementarity problem based on which a new homotopy conti...

Three-dimensional (3D) limit analysis of stability of slopes is presented. Such analyses are not common because of the difficulties in constructing three-dimensional mechanisms of failure in frictional soils. While examples of 3D translational failure patterns are known, no admissible rotational mechanisms for frictional soils have been described in the literature. A class of admissible rotatio...

Previous studies demonstrated that brain signals encode information about specific features of simple auditory stimuli or of general aspects of natural auditory stimuli. How brain signals represent the time course of specific features in natural auditory stimuli is not well understood. In this study, we show in eight human subjects that signals recorded from the surface of the brain (electrocor...

Ferromagnetic resonance (FMR) spectroscopy, x-ray magnetic circular dichroism (XMCD) spectroscopy and magnetic transmission soft x-ray microscopy (MTXM) experiments have been performed to gain insight into the magnetic anisotropy and domain structure of ultrathin Co9Ni multilayer films with a thin permalloy layer underneath. MTXM images with a spatial resolution better than 25 nm were obtained ...

We address the embedding existence problem (often referred to as the filtering problem) over streaming XML data for Conjunctive XPath (CXP). Ramanan (2009) considered Downward CXP, a fragment of CXP that involves downward navigational axes only, and presented a streaming algorithm which solves the problem in O(|P ||D|) time using only O(|P |height(D)) bits of space, where |P | and |D| are the s...

In this paper we will review the main results concerning the issue of stability for the determination unknown boundary portion of a thermic conducting body from Cauchy data for parabolic equations. We give detailed and selfcontained proofs. We prove that such problems are severely ill-posed in the sense that under a priori regularity assumptions on the unknown boundaries, up to any finite order...

In regularized risk minimization, the associated optimization problem becomes particularly difficult when both the loss and regularizer are nonsmooth. Existing approaches either have slow or unclear convergence properties, are restricted to limited problem subclasses, or require careful setting of a smoothing parameter. In this paper, we propose a continuation algorithm that is applicable to a ...