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We review some of the endeavors in trying to connect Petri nets with free symmetric monoidal categories. We give a list of requirement such connections should respect if they are meant to be useful for practical/implementation purposes. We…

Category Theory · Mathematics 2019-05-10 Fabrizio Genovese , Alex Gryzlov , Jelle Herold , Marco Perone , Erik Post , André Videla

We propose a framework for the specification of behaviour-preserving reconfigurations of systems modelled as Petri nets. The framework is based on open nets, a mild generalisation of ordinary Place/Transition nets suited to model open…

Logic in Computer Science · Computer Science 2015-07-01 Paolo Baldan , Andrea Corradini , Hartmut Ehrig , Reiko Heckel , Barbara König

We study the electrical distribution network reconfiguration problem, defined as follows. We are given an undirected graph with a root vertex, demand at each non-root vertex, and resistance on each edge. Then, we want to find a spanning…

Data Structures and Algorithms · Computer Science 2024-12-20 Takehiro Ito , Naonori Kakimura , Naoyuki Kamiyama , Yusuke Kobayashi , Yoshio Okamoto

A Petri net is choice-free if any place has at most one transition in its postset (consuming its tokens) and it is (extended) free-choice (EFC) if the postsets of any two places are either equal or disjoint. Asymmetric choice (AC) extends…

Formal Languages and Automata Theory · Computer Science 2019-11-25 Harro Wimmel

State-of-the-art defenses against adversarial patch attacks can now achieve strong certifiable robustness with a marginal drop in model utility. However, this impressive performance typically comes at the cost of 10-100x more inference-time…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Chong Xiang , Tong Wu , Sihui Dai , Jonathan Petit , Suman Jana , Prateek Mittal

Several algorithms with an approximation guarantee of $O(\log n)$ are known for the Set Cover problem, where $n$ is the number of elements. We study a generalization of the Set Cover problem, called the Partition Set Cover problem. Here,…

Data Structures and Algorithms · Computer Science 2018-12-04 Tanmay Inamdar , Kasturi Varadarajan

We introduce a new technique for designing fixed-parameter algorithms for cut problems, namely randomized contractions. We apply our framework to obtain the first FPT algorithm for the Unique Label Cover problem and new FPT algorithms with…

Data Structures and Algorithms · Computer Science 2016-07-20 Rajesh Chitnis , Marek Cygan , MohammadTaghi Hajiaghayi , Marcin Pilipczuk , Michał Pilipczuk

Boolean Petri nets are differentiated by types of nets $\tau$ based on which of the interactions nop, inp, out, set, res, swap, used, and free they apply or spare. The synthesis problem relative to a specific type of nets $\tau$ is to find…

Computational Complexity · Computer Science 2019-09-16 Ronny Tredup

Place/Transition Petri nets with inhibitor arcs (PTI nets for short), which are a well-known Turing-complete, distributed model of computation, are equipped with a decidable, behavioral equivalence, called pti-place bisimilarity, that…

Logic in Computer Science · Computer Science 2022-11-03 Arnaldo Cesco , Roberto Gorrieri

We investigate the problem of construction of small-size universal Petri nets with inhibitor arcs. We consider four descriptional complexity parameters: the number of places, transitions, inhibitor arcs, and the maximal degree of a…

Formal Languages and Automata Theory · Computer Science 2013-12-17 Sergiu Ivanov , Elisabeth Pelz , Sergey Verlan

A constant-rate multi-mode system is a hybrid system that can switch freely among a finite set of modes, and whose dynamics is specified by a finite number of real-valued variables with mode-dependent constant rates. Alur, Wojtczak, and…

Logic in Computer Science · Computer Science 2017-07-14 Shankara Narayanan Krishna , Aviral Kumar , Fabio Somenzi , Behrouz Touri , Ashutosh Trivedi

We investigate the evidence/flexibility (i.e., "Occam") paradigm and demonstrate the theoretical and empirical consistency of Bayesian evidence for the task of determining an appropriate generative model for network data. This model…

Methodology · Statistics 2024-05-09 Tianyu Wang , Zachary M. Pisano , Carey E. Priebe

Maximum coverage and minimum set cover problems --collectively called coverage problems-- have been studied extensively in streaming models. However, previous research not only achieve sub-optimal approximation factors and space…

Data Structures and Algorithms · Computer Science 2017-03-13 Mohammadhossein Bateni , Hossein Esfandiari , Vahab Mirrokni

Backward reachability analysis computes the set of states that reach a target set under the competing influence of control input and disturbances. Depending on their interplay, the backward reachable set either represents all states that…

Numerical Analysis · Mathematics 2025-09-19 Mark Wetzlinger , Matthias Althoff

Neural network sparsification is a promising avenue to save computational time and memory costs, especially in an age where many successful AI models are becoming too large to na\"ively deploy on consumer hardware. While much work has…

Machine Learning · Computer Science 2024-11-06 Rayen Dhahri , Alexander Immer , Betrand Charpentier , Stephan Günnemann , Vincent Fortuin

Reversible computation is an unconventional form of computing that extends the standard forward-only mode of computation with the ability to execute a sequence of operations in reverse at any point during computation. As such, in this…

Logic in Computer Science · Computer Science 2021-01-19 Kyriaki Psara

Petri Nets (PN) are a central, theoretically sound model for concurrent or distributed systems but, at least in their classical definition, not expressive enough to represent dynamic reconfiguration capabilities. On the other side,…

Logic in Computer Science · Computer Science 2021-11-17 Lorenzo Capra

Physical adversarial patch attacks critically threaten pedestrian detection, causing surveillance and autonomous driving systems to miss pedestrians and creating severe safety risks. Despite their effectiveness in controlled settings,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Shihui Yan , Ziqi Zhou , Yufei Song , Yifan Hu , Minghui Li , Shengshan Hu

The traditional approach of hand-crafting priors (such as sparsity) for solving inverse problems is slowly being replaced by the use of richer learned priors (such as those modeled by generative adversarial networks, or GANs). In this work,…

Machine Learning · Computer Science 2018-10-09 Chinmay Hegde

$\delta$-Covering, for some covering range $\delta>0$, is a continuous facility location problem on undirected graphs where all edges have unit length. The facilities may be positioned on the vertices as well as on the interior of the…

Data Structures and Algorithms · Computer Science 2024-08-09 Tim A. Hartmann , Tom Janßen
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