{"id":141,"date":"2023-06-01T16:47:10","date_gmt":"2023-06-01T07:47:10","guid":{"rendered":"http:\/\/dyn.web.nitech.ac.jp\/?page_id=141"},"modified":"2023-06-15T14:05:54","modified_gmt":"2023-06-15T05:05:54","slug":"topics","status":"publish","type":"page","link":"https:\/\/dyn.web.nitech.ac.jp\/en\/topics","title":{"rendered":"Research"},"content":{"rendered":"\n<p class=\"has-medium-font-size\">The main topics are mathematical studies on dynamical phenomena and temporal data. Examples are found below.<\/p>\n\n\n\n<p class=\"has-x-small-font-size\">Keywords\uff1aNeural networks, Temporal pattern recognition, Reservoir computing, Machine learning, Artificial intelligence, Data science, Neuromorphic computing,<br> Nonlinear dynamics, Mathematical modeling, Complexity science, Complex networks, Dynamical systems theory, Bifurcation theory, Phase transition, <br>Optimization algorithms, Control theory, Mathematical biology<\/p>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:300px\">\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><u><strong>Temporal pattern recognition with machine learning<\/strong><\/u><\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"890\" height=\"463\" src=\"http:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fig_rc-2.png\" alt=\"\" class=\"wp-image-293\" srcset=\"https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fig_rc-2.png 890w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fig_rc-2-300x156.png 300w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fig_rc-2-768x400.png 768w\" sizes=\"auto, (max-width: 890px) 100vw, 890px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:700px\">\n<p class=\"has-link-color has-small-font-size wp-elements-59ad0593dd4c51872762e0dd2caac2f2\">Time series data indicates data varying with time. We conduct mathematical research on information processing of time series data such as sounds, climates, and biological signals. In particular, we have been focusing on development of temporal information processing techniques based on reservoir computing.<br>\u30fb<strong>[Book (in Japanese)]<\/strong> <a href=\"https:\/\/www.morikita.co.jp\/books\/mid\/085531\">Reservoir Computing\uff08Morikita publishing, 2021\uff09<\/a><br>\u30fb<strong>[Editorial]<\/strong> <a href=\"https:\/\/ieeexplore.ieee.org\/document\/9786562\">Special Issue on New Frontiers in Extremely Efficient Reservoir Computing (IEEE TNNS, 2022)<\/a> <br><\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:300px\">\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong><u>Mathematical studies on <\/u><br><u>brain-inspired computing<\/u><\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"848\" height=\"541\" src=\"http:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fig_memristor_reservoir-1.png\" alt=\"\" class=\"wp-image-295\" srcset=\"https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fig_memristor_reservoir-1.png 848w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fig_memristor_reservoir-1-300x191.png 300w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fig_memristor_reservoir-1-768x490.png 768w\" sizes=\"auto, (max-width: 848px) 100vw, 848px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:700px\">\n<p class=\"has-link-color has-small-font-size wp-elements-d875c42b47eab1698dfa78099f269650\">Biological brains realize flexible information processing with extremely low energy. By imitating the mechanism of the brain, we are constructing efficient brain-inspired computing models. We are also conducting mathematical studies on energy-efficient brain-inspired computing hardware systems. <br>\u30fb[Paper] <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0893608019300784\">A review on physical reservoir computing\uff08Neural Networks, 2019\uff09<\/a><br>\u30fb[Paper] <a href=\"https:\/\/ieeexplore.ieee.org\/document\/8667662\">Energy-efficient neural associative memory\uff08IEEE TNNLS, 2020\uff09<\/a><br>\u30fb[Paper ]<a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/2634-4386\/ac4a83\">2022 Roadmap on neuromorphic computing and engineering\uff082022\uff09<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:300px\">\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong><u>Mathematical modeling of <\/u><br><u>complex phenomena<\/u><\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/topic_prostate_cancer-1.png\" alt=\"\" class=\"wp-image-296\" width=\"300\" height=\"243\" srcset=\"https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/topic_prostate_cancer-1.png 465w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/topic_prostate_cancer-1-300x243.png 300w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:700px\">\n<p class=\"has-link-color has-small-font-size wp-elements-db32412c3ad8d270c3255c9a4c5646fb\">There are a lot of complex phenomena in the real world, whose governing rule is not fully clear. We are conducting research on understanding complex systems by using mathematical modeling techniques. In particular, we focus on various phenomena related to diseases, public health, and medicine for proposing effective measures and intervention.<br>\u30fb[Paper] <a href=\"https:\/\/www.nature.com\/articles\/srep05522\">Random and targeted intervention for epidemic control (Sci. Rep., 2014)<\/a><br>\u30fb[Paper] <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022519318301620\">Atopic dermatitis (J. Theor. Biol., 2018)<\/a><br>\u30fb[Paper] <a href=\"https:\/\/royalsocietypublishing.org\/doi\/10.1098\/rsta.2010.0221\">Prostate cancer under hormone therapy (Phil. Trans. Roy. Soc. A, 2010)<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:300px\">\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong><u>Network robustness<\/u><\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"697\" src=\"http:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/dynamical_robustness-1-1024x697.jpg\" alt=\"\" class=\"wp-image-297\" srcset=\"https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/dynamical_robustness-1-1024x697.jpg 1024w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/dynamical_robustness-1-300x204.jpg 300w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/dynamical_robustness-1-768x523.jpg 768w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/dynamical_robustness-1-1536x1046.jpg 1536w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/dynamical_robustness-1-2048x1394.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:700px\">\n<p class=\"has-link-color has-small-font-size wp-elements-3370fe7e66c9e88fb2d90bf5f8a62774\">Network systems are ubiquitous as found in power, traffic, and biological networks. Networking is beneficial in normal situations, but it poses a risk that a failure in a small part of the network causes a breakdown of the whole system. We are conducting mathematical studies on the robustness of dynamical processes on complex networks.<br>\u30fb[Paper] <a href=\"https:\/\/www.nature.com\/articles\/srep00232\">Dynamical robustness of complex networks (Sci. Rep., 2012)<\/a><br>\u30fb[Paper] <a href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.89.052906\">Dynamical robustness of coupled heterogeneous oscillators (PRE, 2014)<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:300px\">\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><u><strong>Fundamental theory of complex systems dynamics<\/strong><\/u><\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"180\" height=\"180\" src=\"http:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fractal_basin_boundary-1.png\" alt=\"\" class=\"wp-image-298\" srcset=\"https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fractal_basin_boundary-1.png 180w, https:\/\/dyn.web.nitech.ac.jp\/wp-content\/uploads\/2023\/06\/fractal_basin_boundary-1-150x150.png 150w\" sizes=\"auto, (max-width: 180px) 100vw, 180px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:700px\">\n<p class=\"has-link-color has-small-font-size wp-elements-e1a0a2c481c2a2a4ce558f3948e742d5\">We are conducting fundamental mathematical studies to understand the process of qualitative changes in dynamical systems. A dynamical system changes its behavior from simple to complex, from order to disorder, and from regular to irregular, depending on the variation of environments. We are interested in clarifying how such spatial and temporal complication occurs in terms of bifurcation and phase transition.<br>\u30fb[Tutorial] <a href=\"https:\/\/dsweb.siam.org\/Education\/crisis-induced-intermittency-in-coupled-chaotic-maps\">Crisis-induecd intermittency in 2D coupled maps (SIAM DSWeb, 2005)<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-medium-font-size\"><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n","protected":false},"excerpt":{"rendered":"<p>The main topics are mathematical studies on dynamical phenomena and temporal data. Examples are found below. Keywords\uff1aNeural networks, Temporal pattern recognition, Reservoir computing, Machine learning, Artificial intelligence, Data science, Neuromorphic computing, Nonlinear dynamics, Mathematical modeling, Complexity science, Complex networks, Dynamical systems theory, Bifurcation theory, Phase transition, Optimization algorithms, Control theory, Mathematical biology Temporal pattern recognition [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_locale":"en_US","_original_post":"http:\/\/dyn.web.nitech.ac.jp\/?page_id=33","footnotes":""},"class_list":["post-141","page","type-page","status-publish","hentry","en-US"],"featured_image_src":null,"_links":{"self":[{"href":"https:\/\/dyn.web.nitech.ac.jp\/wp-json\/wp\/v2\/pages\/141","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dyn.web.nitech.ac.jp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dyn.web.nitech.ac.jp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dyn.web.nitech.ac.jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dyn.web.nitech.ac.jp\/wp-json\/wp\/v2\/comments?post=141"}],"version-history":[{"count":16,"href":"https:\/\/dyn.web.nitech.ac.jp\/wp-json\/wp\/v2\/pages\/141\/revisions"}],"predecessor-version":[{"id":412,"href":"https:\/\/dyn.web.nitech.ac.jp\/wp-json\/wp\/v2\/pages\/141\/revisions\/412"}],"wp:attachment":[{"href":"https:\/\/dyn.web.nitech.ac.jp\/wp-json\/wp\/v2\/media?parent=141"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}