{"id":35859,"date":"2025-03-30T18:22:16","date_gmt":"2025-03-30T16:22:16","guid":{"rendered":"https:\/\/kinit.sk\/publication\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\/"},"modified":"2026-04-23T15:20:55","modified_gmt":"2026-04-23T13:20:55","slug":"fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting","status":"publish","type":"publication","link":"https:\/\/kinit.sk\/sk\/publikacia\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\/","title":{"rendered":"Fully Differentiable Physics-informed Lagrangian Convolutional Neural Network for Precipitation Nowcasting"},"content":{"rendered":"<div id=\"\" class=\"element core-paragraph\">\n<p><strong><strong>Pavl\u00edk, P., V\u00fdboh, M., Bou Ezzeddine, A., Rozinajov\u00e1, V.<\/strong><\/strong><\/p>\n<\/div>\n\n<div id=\"\" class=\"element core-paragraph\">\n<p>The task of precipitation nowcasting is often perceived as a computer vision problem. It is analogous to next frame video prediction &#8211; i.e. processing consecutive radar precipitation map frames and predicting the future ones. This makes convolutional neural networks (CNNs) a great fit for this task. In the recent years, the CNNs have become the de-facto state-of-the-art model for precipitation nowcasts.<\/p>\n<\/div>\n\n<div id=\"\" class=\"element core-paragraph\">\n<p>However, a pure machine learning model has difficulties to capture accurately the underlying patterns in the data. Since the data behaves according to the known physical laws, we can incorporate this knowledge to train more accurate and trustworthy models.<\/p>\n<\/div>\n\n<div id=\"\" class=\"element core-paragraph\">\n<p>We present a double U-Net model, combining a continuity-constrained Lagrangian persistence U-Net with an advection-free U-Net dedicated to capturing the precipitation growth and decay. In contrast to previous works, the combined model is fully differentiable, allowing us to fine-tune these models together in a data-driven way. We examine the learned Lagrangian mappings, along with a thorough quantitative and qualitative evaluation. The results of the evaluation will be provided in the presentation.<\/p>\n<\/div>\n\n<div id=\"\" class=\"element core-paragraph  margin-bottom-0\">\n<p class=\" margin-bottom-0\">Cite: Pavl\u00edk, P., V\u00fdboh, M., Bou Ezzeddine, A., Rozinajov\u00e1, V. Fully Differentiable Physics-informed Lagrangian Convolutional Neural Network for Precipitation Nowcasting, EGU General Assembly 2024, Vienna, Austria, 14\u201319 Apr 2024, EGU24-4445, <a href=\"https:\/\/doi.org\/10.5194\/egusphere-egu24-4445\">https:\/\/doi.org\/10.5194\/egusphere-egu24-4445<\/a>, 2024.<\/p>\n<\/div>\n\n\n","protected":false},"featured_media":0,"template":"","meta":{"_acf_changed":false,"footnotes":""},"categories":[81,442],"class_list":["post-35859","publication","type-publication","status-publish","hentry","category-data-analytics-for-green-energy-sk","category-2024-sk"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Fully Differentiable Physics-informed Lagrangian Convolutional Neural Network for Precipitation Nowcasting - KInIT<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/kinit.sk\/sk\/publikacia\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\/\" \/>\n<meta property=\"og:locale\" content=\"sk_SK\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fully Differentiable Physics-informed Lagrangian Convolutional Neural Network for Precipitation Nowcasting - KInIT\" \/>\n<meta property=\"og:description\" content=\"Pavl\u00edk, P., V\u00fdboh, M., Bou Ezzeddine, A., Rozinajov\u00e1, V. The task of precipitation nowcasting is often perceived as a computer vision problem. It is analogous to next frame video prediction...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/kinit.sk\/sk\/publikacia\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\/\" \/>\n<meta property=\"og:site_name\" content=\"KInIT\" \/>\n<meta property=\"article:modified_time\" content=\"2026-04-23T13:20:55+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/kinit.sk\/wp-content\/uploads\/2021\/03\/KINIT_Sharepic.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"628\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@kinit\" \/>\n<meta name=\"twitter:label1\" content=\"Predpokladan\u00fd \u010das \u010d\u00edtania\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 min\u00fata\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/kinit.sk\\\/sk\\\/publikacia\\\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\\\/\",\"url\":\"https:\\\/\\\/kinit.sk\\\/sk\\\/publikacia\\\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\\\/\",\"name\":\"Fully Differentiable Physics-informed Lagrangian Convolutional Neural Network for Precipitation Nowcasting - KInIT\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/kinit.sk\\\/#website\"},\"datePublished\":\"2025-03-30T16:22:16+00:00\",\"dateModified\":\"2026-04-23T13:20:55+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/kinit.sk\\\/sk\\\/publikacia\\\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\\\/#breadcrumb\"},\"inLanguage\":\"sk-SK\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/kinit.sk\\\/sk\\\/publikacia\\\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/kinit.sk\\\/sk\\\/publikacia\\\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/kinit.sk\\\/sk\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Data Analytics for Green Energy\",\"item\":\"https:\\\/\\\/kinit.sk\\\/category\\\/data-analytics-for-green-energy\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Fully Differentiable Physics-informed Lagrangian Convolutional Neural Network for Precipitation Nowcasting\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/kinit.sk\\\/#website\",\"url\":\"https:\\\/\\\/kinit.sk\\\/\",\"name\":\"KInIT\",\"description\":\"Vyu\u017e\u00edvame v\u00fdskum pre \u013eud\u00ed a priemysel\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/kinit.sk\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"sk-SK\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Fully Differentiable Physics-informed Lagrangian Convolutional Neural Network for Precipitation Nowcasting - KInIT","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/kinit.sk\/sk\/publikacia\/fully-differentiable-physics-informed-lagrangian-convolutional-neural-network-for-precipitation-nowcasting\/","og_locale":"sk_SK","og_type":"article","og_title":"Fully Differentiable Physics-informed Lagrangian Convolutional Neural Network for Precipitation Nowcasting - KInIT","og_description":"Pavl\u00edk, P., V\u00fdboh, M., Bou Ezzeddine, A., Rozinajov\u00e1, V. 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