This is essentially the talk I gave on definable additive categories; I define these categories, say where they came from, describe some of what is around them and then point out the 2-category which

We propose an extensive framework for additive regression models for correlated functional responses, allowing for multiple partially nested or crossed functional random effects with flexible correlation structures for, e.g., spatial, temporal, or longitudinal functional data. Additionally, our framework includes linear and nonlinear effects of functional and scalar covariates that may vary smo...

Lens flare, comprising diffraction patterns of direct lights and ghosts of an aperture, is one of artistic artifacts in optical systems. The generation of far-field diffraction patterns has commonly used Fourier transform of the iris apertures. While such outcomes are physically faithful, more flexible and intuitive editing of diffraction patterns has not been explored so far. In this poster, w...

We introduce a Gaussian process model of functions which are additive. An additive function is one which decomposes into a sum of low-dimensional functions, each depending on only a subset of the input variables. Additive GPs generalize both Generalized Additive Models, and the standard GP models which use squared-exponential kernels. Hyperparameter learning in this model can be seen as Bayesia...

We revisit Additive Quantization (AQ), an approach to vector quantization that uses multiple, full-dimensional, and non-orthogonal codebooks. Despite its elegant and simple formulation, AQ has failed to achieve state-of-the-art performance on standard retrieval benchmarks, because the encoding problem, which amounts to MAP inference in multiple fully-connected Markov Random Fields (MRFs), has p...

Metric trees are dendrograms which show the phylogenetic relationships for a set of contemporary species. These dendrograms have numerical values attached to the branches. If the sum of these values on the branches between any two contemporary species is equal to the dissimilarity between these two species, the metric tree is said to be additive and possess an additive dissimilarity matrix. Met...