Given a string of characters, the Burrows-Wheeler Transform rearranges the characters in it so as to produce another string of the same length which is more amenable to compression techniques such as move to front, run-length encoding, and entropy encoders. We present a variant of the transform which gives rise to similar or better compression value, but, unlike the original, the transform we p...

Contemporary inferences about evolution occasionally involve analyzing infinitely large feature spaces, requiring specific algorithmic techniques. We consider parsimony analysis over numerical characters, where knowing the feature values at terminal taxa allows one to infer ancestral features, namely, by minimizing the total number of changes on the edges using continuous-valued distance measur...

We present an approach for animating characters using inverse kinematics (IK) handles that allows for intuitive keyframing of physically plausible motion. Specifically, we extend traditional IK and keyframing to include center-of-mass (CM) and inertia handles along with physically based templates to help an animator produce trajectories that respect physics during dynamic activities, such as sw...

SARA is an ongoing research project that investigates in a novel and artistic way the causes for social communication and emotion recognition deficits in children and adolescents with high-functioning autism spectrum disorders (ASD). The novelty of our work resides in the real-time generation and parameterization of emotional facial expressions of virtual characters by means of speed, intensity...

We compute the characters of many supercuspidal representations of reductive p-adic groups. Specifically, we deal with representations that arise via Yu’s construction from data satisfying a certain compactness condition. Each character is expressed in terms of a depth-zero character of a smaller group, the (linear) characters appearing in Yu’s construction, Fourier transforms of orbital integr...

This paper describes our participation in the SIGMORPHON 2016 shared task on morphological reinflection. In the task, we use a linear-chain conditional random field model to learn to map sequences of input characters to sequences of output characters and focus on developing features that are useful for predicting inflectional behavior. Since the training data in the task is limited, we also gen...

The main result of [Kos] shows that a sequence of complexes associated with the MacDonald identities gives a sequence of universal characters which extends and generalises some representations of the exceptional series given in [Del96]. This proves the conjectures in [MP03]. In this paper we use a twisted version of this definition to define a sequence of complexes for the first row of the Freu...

We use power sums plethysm operators to introduce H functions which interpolate between the Weyl characters and the Hall-Littlewood functions Q corresponding to classical Lie groups. The coefficients of these functions on the basis of Weyl characters are parabolic Kazhdan-Lusztig polynomials and thus, are nonnegative. We prove that they can be regarded as quantizations of branching coefficients...

We use power sums plethysm operators to introduce H functions which interpolate between the Weyl characters and the Hall-Littlewood functions Q corresponding to classical Lie groups. The coefficients of these functions on the basis of Weyl characters are parabolic Kazhdan-Lusztig polynomials and thus, by works of Kashiwara and Tanisaki, are nonnegative. We prove that they can be regarded as qua...