Решетки Галуа, решетки замкнутых множеств, анализ формальных понятий, машинное обучение, майнинг данных
Основные публикации:
Dmitry I. Ignatov, Dmitry V. Gnatyshak, Sergei O. Kuznetsov, Boris G. Mirkin, “Triadic Formal Concept Analysis and triclustering: searching for optimal patterns”, Machine Learning, 101:1-3 (2015), 271–302
Dmitry I. Ignatov, “On closure operators related to maximal tricliques in tripartite hypergraphs”, Discret. Appl. Math., 249 (2018), 74–84
Dmitry I. Ignatov, Sergei O. Kuznetsov, Jonas Poelmans, Leonid E. Zhukov, “Can triconcepts become triclusters?”, Int. J. Gen. Syst., 42:6 (2013), 572–593
Jonas Poelmans, Sergei O. Kuznetsov, Dmitry I. Ignatov, Guido Dedene, “Formal Concept Analysis in knowledge processing: A survey on models and techniques”, Expert Syst. Appl., 40:16 (2013), 6601-6623
Artem M. Grachev, Dmitry I. Ignatov, Andrey V. Savchenko, “Compression of recurrent neural networks for efficient language modeling”, Appl. Soft Comput., 79 (2019), 354-362