1 citations · 1 across the 9 of their papers we have counts for
10 papers
Recurrent In-Context Learning for Tabular Foundation Models
Tejas Vaidhya, Gaurav Sahu, Irina Rish
Tabular foundation models adapt to new datasets through in-context learning (ICL), and, like most transformers, they tie computational depth to the number of independently paramete…
A composition theory for upward planar orders
Xue Dong, Xuexing Lu, Yu Ye
An upward planar order on an acyclic directed graph is a special linear extension of the edge poset of that satisfies the nesting condition. This order was introduced to co…
A new definition of upward planar order
Ting Li, Xuexing Lu
We give a more coherent definition of upward planar order.
Causal-net category
Xuexing Lu
A causal-net is a finite acyclic directed graph. In this paper, we introduce a category, denoted by and called causal-net category, whose objects are causal-nets and…
Causal Network Condensation
Xuexing Lu, Ziqian Tang
In this paper, we introduce a generalized topological quantum field theory based on the symmetric monoidal category which we call causal network condensation since it can be regard…
Remark on topological nature of upward planarity
Xuexing Lu
The notion of an upward plane graph in graph theory and that of a progressive plane graph (or plane string diagram) in category theory are essentially the same thing. In this paper…
Planar order on vertex poset
Xuexing Lu
A planar order is a special linear extension of the edge poset (partially ordered set) of a processive plane graph. The definition of a planar order makes sense for any finite pose…
Combinatorial characterization of upward planarity
Xuexing Lu, Yu Ye
We give a combinatorial characterization of upward planar graphs in terms of upward planar orders, which are special linear extensions of edge posets.
A graphical calculus for semi-groupal categories
Sen Hu, Xuexing Lu, Yu Ye
Around the year 1988, Joyal and Street established a graphical calculus for monoidal categories, which provides a firm foundation for many explorations of graphical notations in ma…
Combinatorics and algebra of tensor calculus
Sen Hu, Xuexing Lu, Yu Ye
In this paper, motivated by the theory of operads and PROPs we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad wh…