5 papers · 1 filter
On the Number of Observation Nodes in Recurrent Neural Networks with Linear Threshold and ReLU Functions
Liangjie Sun, Wai-Ki Ching, Tatsuya Akutsu
This paper investigates how node update rules and admissible state domains affect the minimum number of observation nodes required for global finite-horizon observability in recurr…
On the Observability and Controllability of Leaky-ReLU Networks
Liangjie Sun, Wai-Ki Ching, Shun-ichi Azuma +1
This paper studies minimum-node observability and controllability of Leaky rectified linear unit (Leaky-ReLU) networks under degree constraints. The objective is to characterize ho…
On the Number of Control Nodes of Threshold and XOR Boolean Networks
Christopher H. Fok, Liangjie Sun, Tatsuya Akutsu +1
Boolean networks (BNs) are important models for gene regulatory networks and many other biological systems. In this paper, we study the minimal controllability problem of threshold…
On the Number of Control Nodes in Boolean Networks with Degree Constraints
Liangjie Sun, Wai-Ki Ching, Tatsuya Akutsu
This paper studies the minimum control node set problem for Boolean networks (BNs) with degree constraints. The main contribution is to derive the nontrivial lower and upper bounds…
On the Number of Observation Nodes in Boolean Networks
Liangjie Sun, Wai-Ki Ching, Tatsuya Akutsu
A Boolean network (BN) is called observable if any initial state can be uniquely determined from the output sequence. In the existing literature on observability of BNs, there is a…