Many functions have been recently defined to assess the similarity among networks as tools for quantitative comparison. They stem from very different frameworks and they are tuned for dealing with different situations. Here we show an overview of the spectral distances, highlighting their behavior in some basic cases of static and dynamic synthetic and real networks. In particular, we show exam...

We are proposing a novel method that makes it possible to analyze high dimensional data with arbitrary shaped projected clusters and high noise levels. At the core of our method lies the idea of subspace validity. We map the data in a way that allows us to test the quality of subspaces using statistical tests. Experimental results, both on synthetic and real data sets, demonstrate the potential...

The importance of dominance and skyline analysis has been well recognized in multi-criteria decision making applications. Most previous works study how to help customers find a set of “best” possible products from a pool of given products. In this paper, we identify an interesting problem, creating competitive products, which has not been studied before. Given a set of products in the existing ...

In this paper we will establish the affine bundle theorem in our synthetic approach to jet bundles in terms of infinitesimal spaces Dn’s. We will then compare these affine bundles with the corresponding ones constructed in our previous synthetic approach to jet bundles in terms of infinitesimal spacesD’s both in the general microlinear setting and in the finite-dimensional setting.

In this paper, we analyze multiple view geometry under projections from 4D space to 3D space and show that it can represent multiple view geometry under the projection of space with time. In particular, we show that multifocal tensors defined under space-time projections can be computed from non-rigid object motions viewed from multiple cameras with arbitrary translational motions. We also show...

One challenge in score following (i.e., mapping audio frames to score positions in real time) for piano performances is the mismatch between audio and score caused by the usage of the sustain pedal. When the pedal is pressed, notes played will continue to sound until the string vibration naturally ceases. This makes the notes longer than their notated lengths and overlap with later notes. In th...

Implicit arguments are not syntactically connected to their predicates, and are therefore hard to extract. Previous work has used models with large numbers of features, evaluated on very small datasets. We propose to train models for implicit argument prediction on a simple cloze task, for which data can be generated automatically at scale. This allows us to use a neural model, which draws on n...