The proper orientation number of trees was tackled in ACD+15 () resulting in a tight constant upper bound for the parameter:

An orientation of a graph $G$ is proper if any two adjacent vertices have different indegrees. The proper orientation number $\overrightarrow{\chi}(G…

In this section, we will completely describe the scheme structure of Fk(XA) locally around toric fixed points in the special case that k=dimXA−1 and XA is smooth in codimension one.

Let $X_\mathcal{A}$ be the projective toric variety corresponding to a finite set of lattice points $\mathcal{A}$. We show that irreducible component…

The authors would like to thank Riste Škrekovski for discussions on cyclic colorings of plane graphs.

Let G be a plane graph with maximum face size D. If all faces of G with size four or more are vertex disjoint, then G has a cyclic coloring with D+1 …

An RNA secondary structure is designable if there is an RNA sequence which can attain its maximum number of base pairs only by adopting that structur…

We describe FactorBase, a new SQL-based framework that leverages a relational database management system to support multi-relational model discovery.…

Although numerous improvements have been made in the field of image segmentation using convolutional neural networks, the majority of these improveme…

Convolutional analysis operator learning (CAOL) enables the unsupervised training of (hierarchical) convolutional sparsifying operators or autoencode…

Quadratically-constrained basis pursuit has become a popular device in sparse regularization; in particular, in the context of compressed sensing. Ho…

In this paper, we consider the problem of event classification with multi-variate time series data consisting of heterogeneous (continuous and catego…

Deep learning has revolutionized many computer vision fields in the last few years, including learning-based image compression. In this paper, we pro…

We propose a randomized nonmonotone block proximal gradient (RNBPG) method for minimizing the sum of a smooth (possibly nonconvex) function and a blo…

Hand detection is essential for many hand related tasks, e.g. parsing hand pose, understanding gesture, which are extremely useful for robotics and h…

Highly disordered magnetism confined to individual weakly interacting vortices is detected by muon spin rotation in two different families of high-tr…

Validation of image segmentation methods is of critical importance. Probabilistic image segmentation is increasingly popular as it captures uncertain…

We study half-space linear kinetic equations with general boundary conditions that consist of both given incoming data and various type of reflection…

We study the Bipartite Boolean Quadratic Programming Problem (BBQP) which is an extension of the well known Boolean Quadratic Programming Problem (BQ…

We consider sparsity-based techniques for the approximation of high-dimensional functions from random pointwise evaluations. To date, almost all the …

We develop a novel framework for action localization in videos. We propose the Tube Proposal Network (TPN), which can generate generic, class-indepen…

Many practical sensing applications involve multiple sensors simultaneously acquiring measurements of a single object. Conversely, most existing spar…

We give a unified proof for the well-posedness of a class of linear half-space equations with general incoming data and construct a Galerkin method t…

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