no code implementations • 27 Feb 2024 • Timon Barlag, Vivian Holzapfel, Laura Strieker, Jonni Virtema, Heribert Vollmer
We characterize the computational power of neural networks that follow the graph neural network (GNN) architecture, not restricted to aggregate-combine GNNs or other particular types.
no code implementations • 19 May 2023 • Teemu Hankala, Miika Hannula, Juha Kontinen, Jonni Virtema
It is thus open, and equivalent with the decidability of the existential theory of the reals with the exponential function, whether training neural networks using the sigmoid activation function is algorithmically solvable.
no code implementations • 23 Dec 2020 • Miika Hannula, Jonni Virtema
We identify a natural fragment of existential second-order logic with additive real arithmetic that captures exactly the expressivity of probabilistic inclusion logic.
Logic in Computer Science
no code implementations • 7 Oct 2020 • Jonni Virtema, Jana Hofmann, Bernd Finkbeiner, Juha Kontinen, Fan Yang
We study the expressivity and complexity of model checking linear temporal logic with team semantics (TeamLTL).
Logic in Computer Science Computational Complexity F.4.1; D.2.4
