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We propose Graph Tree Networks (GTNets), a deep graph learning architecture with a new general message passing scheme that originates from the tree representation of graphs. In the tree representation, messages propagate upward from the…

Machine Learning · Computer Science 2022-04-28 Nan Wu , Chaofan Wang

We define a notion of coordinatization for $\aleph_0$-categorical structures which is, like Lie coordinatized structures in [2], a certain kind of expansion of a tree. We show that a structure which is coordinatized, in a certain strong…

Logic · Mathematics 2023-03-17 Mostafa Mirabi

Trees -- i.e., the type of data structure known under this name -- are central to many aspects of knowledge organization. We investigate some central design choices concerning the ontological modeling of such trees. In particular, we…

Artificial Intelligence · Computer Science 2017-10-17 David Carral , Pascal Hitzler , Hilmar Lapp , Sebastian Rudolph

Self-adaptive systems offer several attack surfaces due to the communication via different channels and the different sensors required to observe the environment. Often, attacks cause safety to be compromised as well, making it necessary to…

Cryptography and Security · Computer Science 2023-09-19 Thomas Witte , Raffaela Groner , Alexander Raschke , Matthias Tichy , Irdin Pekaric , Michael Felderer

Behavior Trees (BTs) were invented as a tool to enable modular AI in computer games, but have received an increasing amount of attention in the robotics community in the last decade. With rising demands on agent AI complexity, game…

Robotics · Computer Science 2020-05-14 Matteo Iovino , Edvards Scukins , Jonathan Styrud , Petter Ögren , Christian Smith

We introduce some new symmetric tensor categories based on the combinatorics of trees: a discrete family $\mathcal{D}(n)$, for $n \ge 3$ an integer, and a continuous family $\mathcal{C}(t)$, for $t \ne 1$ a complex number. The construction…

Representation Theory · Mathematics 2024-03-19 Nate Harman , Ilia Nekrasov , Andrew Snowden

While language models (LMs) have shown potential across a range of decision-making tasks, their reliance on simple acting processes limits their broad deployment as autonomous agents. In this paper, we introduce Language Agent Tree Search…

Artificial Intelligence · Computer Science 2024-06-07 Andy Zhou , Kai Yan , Michal Shlapentokh-Rothman , Haohan Wang , Yu-Xiong Wang

Smart contracts concentrate high value assets and complex logic in small, immutable programs, where even minor bugs can cause major losses. Existing taxonomies and tools remain fragmented, organized around symptoms such as reentrancy rather…

Cryptography and Security · Computer Science 2025-11-13 Parsa Hedayatnia , Tina Tavakkoli , Hadi Amini , Mohammad Allahbakhsh , Haleh Amintoosi

Reliable and interpretable traffic crash modeling is essential for understanding causality and improving road safety. This study introduces a novel approach to predicting collision types by utilizing a comprehensive dataset fused from…

Machine Learning · Computer Science 2025-01-14 Oscar Lares , Hao Zhen , Jidong J. Yang

Arboreal categories were introduced as an axiomatic framework for game comonads, which provide a comonadic view on many model-comparison games in logic. We demonstrate the inadequacy of the axiom stating that paths are connected. We then…

Logic in Computer Science · Computer Science 2026-03-24 Tomáš Jakl , Luca Reggio

Advanced persistent threats (APT) combine a variety of different attack forms ranging from social engineering to technical exploits. The diversity and usual stealthiness of APT turns them into a central problem of contemporary practical…

Cryptography and Security · Computer Science 2022-05-03 Stefan Rass , Sandra König , Stefan Schauer

One of the key factors in language productivity and human cognition is the ability of systematic compositionality, which refers to understanding composed unseen examples of seen primitives. However, recent evidence reveals that the…

Computation and Language · Computer Science 2023-12-13 Chen Huang , Peixin Qin , Wenqiang Lei , Jiancheng Lv

As the key to sentiment analysis, sentiment composition considers the classification of a constituent via classifications of its contained sub-constituents and rules operated on them. Such compositionality has been widely studied previously…

Computation and Language · Computer Science 2023-09-01 Zhongtao Jiang , Yuanzhe Zhang , Cao Liu , Jiansong Chen , Jun Zhao , Kang Liu

In this paper, we propose a novel architecture called Composition Attention Grammars (CAGs) that recursively compose subtrees into a single vector representation with a composition function, and selectively attend to previous structural…

Computation and Language · Computer Science 2025-08-20 Ryo Yoshida , Yohei Oseki

Recent years have witnessed the rise of compositional semantics as a foundation for formal verification of complex systems. In particular, interaction trees have emerged as a popular denotational semantics. Interaction trees achieve…

Programming Languages · Computer Science 2025-10-17 Amir Mohammad Fadaei Ayyam , Michael Sammler

In this paper we provide a formal framework for comparing the expressive power of Behavior Trees (BTs) to other action selection architectures. Taking inspiration from the analogous comparisons of structural programming methodologies, we…

Artificial Intelligence · Computer Science 2021-04-19 Oliver Biggar , Mohammad Zamani , Iman Shames

We propose a family of graph structural indices related to the Matrix-forest theorem. The properties of the basic index that expresses the mutual connectivity of two vertices are studied in detail. The derivative indices that measure…

Combinatorics · Mathematics 2007-05-23 Pavel Chebotarev , Elena Shamis

The theory of complex trees is introduced as a new approach to study a broad class of self-similar sets. Systems of equations encoded by complex trees tip-to-tip equivalence relations are used to obtain one-parameter families of connected…

Dynamical Systems · Mathematics 2019-11-13 Bernat Espigule

Domain-specific quantitative modeling and analysis approaches are fundamental in scenarios in which qualitative approaches are inappropriate or unfeasible. In this paper, we present a tool-supported approach to quantitative graph-based…

Cryptography and Security · Computer Science 2021-01-22 Maurice H. ter Beek , Axel Legay , Alberto Lluch Lafuente , Andrea Vandin

One of the important tasks of the Reliability Estimation is Analysis of the Fault Tree. A problem of Fault Trees analysis is considered one of the most complex ones, since structure of such trees is characterized by a considerable number of…

Software Engineering · Computer Science 2016-02-12 Sergey Porotsky