We study the connections between subsurface projections in curve and arc complexes in fibered 3-manifolds and Agol’s veering triangulation. The main theme is that large-distance subsurfaces in fibers are associated to large simplicial regions in the veering triangulation, and this correspondence holds uniformly for all fibers in a given fibered face of the Thurston norm.

The Kolmogorov and total variation distance between the laws of random variables have upper bounds represented by L1-norm densities when densities. In this paper, we derive an bound, in terms such as distance, for several probabilistic distances (e.g., Wasserstein Forter–Mourier etc.) F G case where a variable follows invariant measure that admits density differentiable G, sense Malliavin calcu...

This paper evaluates how biologically meaningful landmarks and their geometry extracted from face images can be used for face recognition. The traditional Procrustes distance is studied for the landmark-based face model. By using complex principal component analysis, we propose a refined Procrustes distance that incorporates statistical correlation of landmarks. Motivated by research results fr...

We initiate the study of trade-offs between sparsity and the number of measurements in sparse recovery schemes for generic norms. Specifically, for a norm ‖ ·‖, sparsity parameter k, approximation factor K > 0, and probability of failure P > 0, we ask: what is the minimal value of m so that there is a distribution over m × n matrices A with the property that for any x, given Ax, we can recover ...

Faces all have the same basic elements in the same overall arrangement, and must be discriminated using variations in this shared configuration. An efficient way to represent these variations would be to code how each configuration differs from an average face (norm-based coding model). Alternatively, configurations could be represented simply by coding their absolute values in some coordinate ...

The current paper discuses the potential use of Wiki as an environment for the formation of student models during distance education sessions. The idea of student models is not novel, rather their benefits in distance education. Wiki has already been used in a number of Education scenarios and projects, either as an authoring or a teaching tool. The paper discusses the appropriateness of Wiki t...

Squashed entanglement is a measure for the entanglement of bipartite quantum states. In this paper we present a lower bound for squashed entanglement in terms of a distance to the set of separable states. This implies that squashed entanglement is faithful, that is, it is strictly positive if and only if the state is entangled. We derive the lower bound on squashed entanglement from a lower bou...

Prior research has examined age, gender, experience, and voluntariness as the main moderators of beliefs on technology acceptance. This paper extends this line of research beyond these demographic and situational variables. Motivated by research that suggests that behavioral models do not universally hold across cultures, the paper identifies espoused national cultural values as an important se...

The growth of distance education warrants a closer look at how virtual communities of practice form in asynchronous online classrooms. Prior studies have sought to identify a process to virtual community formation, which may vary depending upon the media used for collaboration. This microstudy examines how one student group in a distance writing course used the popular social media site Faceboo...