759 research outputs found
A Corpus-based Toy Model for DisCoCat
The categorical compositional distributional (DisCoCat) model of meaning
rigorously connects distributional semantics and pregroup grammars, and has
found a variety of applications in computational linguistics. From a more
abstract standpoint, the DisCoCat paradigm predicates the construction of a
mapping from syntax to categorical semantics. In this work we present a
concrete construction of one such mapping, from a toy model of syntax for
corpora annotated with constituent structure trees, to categorical semantics
taking place in a category of free R-semimodules over an involutive commutative
semiring R.Comment: In Proceedings SLPCS 2016, arXiv:1608.0101
Ungar \unicode{x2013} A C++ Framework for Real-Time Optimal Control Using Template Metaprogramming
We present Ungar, an open-source library to aid the implementation of
high-dimensional optimal control problems (OCPs). We adopt modern template
metaprogramming techniques to enable the compile-time modeling of complex
systems while retaining maximum runtime efficiency. Our framework provides
syntactic sugar to allow for expressive formulations of a rich set of
structured dynamical systems. While the core modules depend only on the
header-only Eigen and Boost.Hana libraries, we bundle our codebase with
optional packages and custom wrappers for automatic differentiation, code
generation, and nonlinear programming. Finally, we demonstrate the versatility
of Ungar in various model predictive control applications, namely, four-legged
locomotion and collaborative loco-manipulation with multiple one-armed
quadruped robots. Ungar is available under the Apache License 2.0 at
https://github.com/fdevinc/ungar.Comment: 2023 IEEE/RSJ International Conference on Intelligent Robots and
Systems (IROS). 7 pages, 2 figures. Library available at
https://github.com/fdevinc/ungar. Presentation available at
https://www.youtube.com/watch?v=iKQ6felf45
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