Decorated Feynman Categories

In [KW14], the new concept of Feynman categories was introduced to simplify the discussion of operad--like objects. In this present paper, we demonstrate the usefulness of this approach, by introducing the concept of decorated Feynman categories. The procedure takes a Feynman category $\mathfrak F$ and a functor $\mathcal O$ to a monoidal category to produce a new Feynman category ${\mathfrak F}_{dec {\mathcal O}}$. This in one swat explains the existence of non--sigma operads, non--sigma cyclic operads, and the non--sigma--modular operads of Markl as well as all the usual candidates simply from the category $\mathfrak G$, which is a full subcategory of the category of graphs of [BM08]. Moreover, we explain the appearance of terminal objects noted in [Mar15]. We can then easily extend this for instance to the dihedral case. Furthermore, we obtain graph complexes and all other known operadic type notions from decorating and restricting the basic Feynman category $\mathfrak G$ of aggregates of corollas. We additionally show that the construction is functorial. There are further geometric and number theoretic applications, which will follow in a separate preprint.Comment: Updated version from 6/8/16 to appear in J. of Noncommutative Geometr

The Diffusion of Fact-checking: Understanding the Growth of a Journalistic Innovation

How and why is political fact-checking spreading across journalism? The research presented in this report suggests that the challenge of disseminating the practice is significant -- mere proximity does not appear to be sufficient to drive adoption. However, we find that factchecking can be effectively promoted by appealing to the professional values of journalists.Our first study considers whether journalists might emulate their colleagues in emphasizing fact-checking, following the practices of professional peers in the way that other journalistic innovations have disseminated. However, the practice does not appear to diffuse organically within a state press corps. While fact-checking coverage increased dramatically during the 2012 campaign, these effects were concentrated among outlets with dedicated fact-checkers. We find no evidence that fact-checking coverage increased more from 2008 to 2012 among outlets in states with a PolitiFact affiliate than among those in states with no affiliate.However, it is possible to effectively promote fact-checking. In a field experiment during the 2014 campaign, we find that messages promoting the genre as a high-status practice that is consistent with journalistic values significantly increased newspapers' fact-checking coverage versus a control group, while messages emphasizing audience demand for the format did not (yielding a smaller, statistically insignificant increase). These results suggest that efforts to create or extend dedicated fact-checking operations and to train reporters are the most effective way to disseminate the practice of fact-checking. While audience demand is an important part of the business case for the practice, newsrooms appear to respond most to messages emphasizing how fact-checking is consistent with the best practices and highest aspirations of their field

Break it Down for Me: A Study in Automated Lyric Annotation

Comprehending lyrics, as found in songs and poems, can pose a challenge to human and machine readers alike. This motivates the need for systems that can understand the ambiguity and jargon found in such creative texts, and provide commentary to aid readers in reaching the correct interpretation. We introduce the task of automated lyric annotation (ALA). Like text simplification, a goal of ALA is to rephrase the original text in a more easily understandable manner. However, in ALA the system must often include additional information to clarify niche terminology and abstract concepts. To stimulate research on this task, we release a large collection of crowdsourced annotations for song lyrics. We analyze the performance of translation and retrieval models on this task, measuring performance with both automated and human evaluation. We find that each model captures a unique type of information important to the task.Comment: To appear in Proceedings of EMNLP 201

Connecting models of configuration spaces: From double loops to strings

Foundational to the subject of operad theory is the notion of an En operad, that is, an operad that is quasi-isomorphic to the operad of little n-cubes Cn. They are central to the study of iterated loop spaces, and the specific case of n = 2 is key in the solution of the Deligne Conjecture. In this paper we examine the connection between two E 2 operads, namely the little 2-cubes operad C 2 itself and the operad of spineless cacti. To this end, we construct a new suboperad of C2, which we name the operad of tethered 2-cubes. Much of our analysis involves examining trees labeled by elements of the operad of little intervals, C1. In the final chapter, we generalize this idea of graphs decorated by elements of an operad to the notion of a decorated Feynman category, building off of the work of Kaufmann and Ward. As an immediate application, we will give a simple definition of non-Σ modular operads

JME 4110: Extended Hole Punch

DESIGN AND DEVELOP A WORKING PROTOTYPE OF A SINGLE-HAND, SINGLE-HOLE PUNCH WITH AN EXTENDED THROAT THAT WILL BE ABLE TO REACH FURTHER INTO A SHEET OF PAPER THAN A STANDARD SINGLE-HOLE PUNCH. THIS CAN BE A PUNCH ATTACHMENT OR A STAND-ALONE DEVICE. EITHER DESIGN CHOSEN WILL ALSO BE ABLE TO BE CONVERTED INTO AN EMBOSSING TOOL FOR EMBOSSING SEALS INTO DOCUMENT

Maximal dimensional subalgebras of general Cartan type Lie algebras

Let $\Bbbk$ be a field of characteristic zero and let $\mathbb{W}_n = \operatorname{Der}(\Bbbk[x_1,\cdots,x_n])$ be the $n^{\text{th}}$ general Cartan type Lie algebra. In this paper, we study Lie subalgebras $L$ of $\mathbb{W}_n$ of maximal Gelfand--Kirillov (GK) dimension, that is, with $\operatorname{GKdim}(L) = n$. For $n = 1$, we completely classify such $L$, proving a conjecture of the second author. As a corollary, we obtain a new proof that $\mathbb{W}_1$ satisfies the Dixmier conjecture, in other words, $\operatorname{End}(\mathbb{W}_1) \setminus \{0\} = \operatorname{Aut}(\mathbb{W}_1)$, a result first shown by Du. For arbitrary $n$, we show that if $L$ is a GK-dimension $n$ subalgebra of $\mathbb{W}_n$, then $U(L)$ is not (left or right) noetherian.Comment: 16 pages. Comments welcome