{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T07:10:09Z","timestamp":1761808209881},"reference-count":0,"publisher":"EasyChair","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>This manuscript presents a description and implementation of two benchmark problems for continuous-time recurrent neural network (RNN) verification. The first problem deals with the approximation of a vector field for a fixed point attractor located at the origin, whereas the second problem deals with the system identification of a forced damped pendulum. While the verification of neural networks is complicated and often impenetrable to the majority of verification techniques, continuous-time RNNs represent a class of networks that may be accessible to reachability methods for nonlinear ordinary differential equations (ODEs) derived originally in biology and neuroscience. Thus, an understanding of the behavior of a RNN may be gained by simulating the nonlinear equations from a diverse set of initial conditions and inputs, or considering reachability analysis from a set of initial conditions. The verification of continuous-time RNNs is a research area that has received little attention and if the research community can achieve meaningful results in this domain, then this class of neural networks may prove to be a superior approach in solving complex problems compared to other network architectures.<\/jats:p>","DOI":"10.29007\/6czp","type":"proceedings-article","created":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T18:10:06Z","timestamp":1537207806000},"page":"196-183","source":"Crossref","is-referenced-by-count":3,"title":["Verification of Continuous Time Recurrent Neural Networks (Benchmark Proposal)"],"prefix":"10.29007","volume":"54","author":[{"given":"Patrick","family":"Musau","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Taylor T.","family":"Johnson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"11545","event":{"name":"ARCH18. 5th International Workshop on Applied Verification of Continuous and Hybrid Systems"},"container-title":["EPiC Series in Computing"],"original-title":[],"deposited":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T18:10:06Z","timestamp":1537207806000},"score":1,"resource":{"primary":{"URL":"https:\/\/easychair.org\/publications\/paper\/K6SZ"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"references-count":0,"URL":"https:\/\/doi.org\/10.29007\/6czp","relation":{},"ISSN":["2398-7340"],"issn-type":[{"type":"print","value":"2398-7340"}],"subject":[]}}