[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-85582-en":3,"doc-seo-85582-105":30,"detail-sidebar-cat-0-en-105":91},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":13,"seo_description":14,"update_tm":28,"read_time":29},85582,1649267921044,"Ava Thompson","https://us-avatar.wpscdn.com/avatar/1800007509477c92dfb?_k=1782875107921204101",8,"Research & Report","Observable Performance Does Not Fully Reflect Adaptive System Organization: A Multi-Level Analysis of Gait Dynamics Under Occlusal Constraint","In biomechanical and adaptive neuromechanical systems, observable performance is often treated as a proxy for internal organization, yet this relies on an assumed link between output metrics and hidden system states. This study models vertical dimension of occlusion (VDO) as an imposed constraint on an adaptive system and uses a single Parkinson’s disease case to analyze repeated conditions. A three-level framework combines aggregated linear metrics, a dynamical-systems state-space view, and an unsupervised low-dimensional UMAP embedding reconstructed from original gait observations, revealing substantial probe overlap and no distinct condition-specific clusters.","arXiv :2605 .00778v2 [ cs .LG] 13 Jul 2026  \nObservable Performance Does Not Fully Reflect Adaptive System Organization:  \nA Multi-Level Analysis of Gait Dynamics Under Occlusal Constraint  \nJacques Raynal 1 , Pierre Slangen2 , Elsa Raynal3 , Jacques Margerit4  \n1Laboratory of Bioengineering and Nanosciences (LBN), University of Montpellier, France  \n2EuroMov Digital Health in Motion, University of Montpellier, IMT Mines Alès, Alès, France  \n3 Certified Sophrologist and Dental Assistant, Sensorimotor Practice, Montpellier, France  \n4Emeritus Professor, University of Montpellier, France  \nCorresponding author: [raynal.cab@gmail.com](raynal.cab@gmail.com)  \nAbstract  \nIn biomechanical systems, observable performance is often used as a proxy for underlying system organization. However, this assumption implicitly presumes a correspondence between output metricsand internal system states that may not hold in adaptive systems.  \nIn this study, the vertical dimension of occlusion (VDO) is considered as a constraint applied to an adaptive neuromechanical system, enabling the exploration of system-level responses under controlled variations. A single-case design in a patient with Parkinson’s disease allows an intra-individual analysis across repeated conditions.  \nThe analysis is structured across three complementary levels: (i) aggregated linear metrics describing observable performance,(ii) a conceptual dynamical-systems framework describing temporal organization in state space, and (iii) an exploratory low-dimensional representation of multivariate gait observations obtained through unsupervised embedding.  \nThe revised Level 3 analysis was reconstructed from the original M1 observation-level gait data. The resulting UMAP representation showed substantial overlap among the six occlusal observational probes and did not reveal independently separated condition-specific clusters. OC2.5 and OC3 exhibited a limited displacement of their centroid positions within the selected embedding, but their distributions remained broadly overlapping.  \nThese findings indicate that the selected multivariate representation contains relational information not expressed by the aggregated score, while providing no evidence that the occlusal probes correspond to distinct physiological states. A fourth level is proposed as a purely conceptual extension describing potential relationships between system states. This level is not implemented and is not derived from experimental data.  \nThese observations are strictly exploratory and non-causal. The proposed framework does not establish mechanistic, predictive, directional, diagnostic, or clinically prescriptive relationships. The exploratory multivariate representation should be interpreted as a model-dependent visualization of multivariate gait observations rather than as direct evidence of distinct internal physiological states.  \nKeywords: biomechanical systems; gait analysis; multivariate representation; dimensionality reduction; UMAP; dynamical systems; state space; non-identifiability; occlusal constraint; vertical dimension of occlusion; Parkinson’s disease.  \n1 Introduction  \nIn biomechanical systems, observable performance metrics are commonly used to characterize functional behavior. This approach implicitly assumes that measurable outputs provide sufficient information about  \nthe underlying organization of the system. However, in adaptive biological systems, this correspondence may not hold: similar observable performance may arise from different internal system states. This limitation becomes particularly relevant in contexts where system behavior emerges from interactions between constraints and adaptive mechanisms. In such cases, the identification of a single optimal parameter may not adequately describe system organization. Instead, system behavior must be considered as the result of an interaction between imposed constraints and the adaptive capacity of the system. The vertical dimension of ","cbCaidf1NdacFBF3","https://ap.wps.com/l/cbCaidf1NdacFBF3","pdf",6477884,3,1,18,"English","en",105,"# Abstract\n# Keywords\n# 1 Introduction","[{\"question\":\"Why can observable performance fail to reflect adaptive system organization?\",\"answer\":\"Because using output metrics as a proxy assumes a stable correspondence between measurable outputs and internal states, which may not hold in adaptive biological systems. Similar observable performance can arise from different internal organization.\"},{\"question\":\"How is vertical dimension of occlusion (VDO) used in this study?\",\"answer\":\"VDO is treated as a constraint applied to an adaptive neuromechanical system. This enables probing system-level responses under controlled variations rather than searching for a single optimal value.\"},{\"question\":\"What does the UMAP multivariate representation show about the occlusal probes?\",\"answer\":\"The reconstructed UMAP representation shows substantial overlap among the six occlusal observational probes and no independently separated condition-specific clusters. Limited centroid displacement is observed for OC2.5 and OC3, but distributions remain broadly overlapping.\"}]",1784204735,45,{"code":4,"msg":31,"data":32},"ok",{"site_id":25,"language":24,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":86,"head_meta":88,"extra_data":90,"updated_unix":28},"observable-performance-does-not-fully-reflect-adaptive-system-organization-a-multi-level-analysis-of-gait-dynamics-under-occlusal-constraint","",{"@graph":36,"@context":85},[37,53,68],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,50],{"item":41,"name":42,"@type":43,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":20},"https://docshare.wps.com/document/research-report/",{"item":51,"name":13,"@type":43,"position":52},"https://docshare.wps.com/document/observable-performance-does-not-fully-reflect-adaptive-system-organization-a-multi-level-analysis-of-gait-dynamics-under-occlusal-constraint/85582/",4,{"url":51,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":24,"description":14,"dateModified":61,"datePublished":62,"encodingFormat":60,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":41,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-07-25","2026-07-16",true,{"@type":65,"interactionType":66,"userInteractionCount":20},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71,77,81],{"name":72,"@type":73,"acceptedAnswer":74},"Why can observable performance fail to reflect adaptive system organization?","Question",{"text":75,"@type":76},"Because using output metrics as a proxy assumes a stable correspondence between measurable outputs and internal states, which may not hold in adaptive biological systems. Similar observable performance can arise from different internal organization.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"How is vertical dimension of occlusion (VDO) used in this study?",{"text":80,"@type":76},"VDO is treated as a constraint applied to an adaptive neuromechanical system. This enables probing system-level responses under controlled variations rather than searching for a single optimal value.",{"name":82,"@type":73,"acceptedAnswer":83},"What does the UMAP multivariate representation show about the occlusal probes?",{"text":84,"@type":76},"The reconstructed UMAP representation shows substantial overlap among the six occlusal observational probes and no independently separated condition-specific clusters. Limited centroid displacement is observed for OC2.5 and OC3, but distributions remain broadly overlapping.","https://schema.org",{"og:url":51,"og:type":87,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":89,"canonical":51},"index,follow",{"doc_id":7,"site_id":25},{"code":4,"msg":5,"data":92},[93,97,101,105,110,115,120,123,128,131,135],{"id":21,"doc_module":4,"doc_module_name":46,"category_name":94,"show_sort_weight":95,"slug":96},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":98,"show_sort_weight":99,"slug":100},"Literature",80,"literature",{"id":52,"doc_module":4,"doc_module_name":46,"category_name":102,"show_sort_weight":103,"slug":104},"Exam",70,"exam",{"id":106,"doc_module":4,"doc_module_name":46,"category_name":107,"show_sort_weight":108,"slug":109},5,"Comic",60,"comic",{"id":111,"doc_module":4,"doc_module_name":46,"category_name":112,"show_sort_weight":113,"slug":114},6,"Technology",50,"technology",{"id":116,"doc_module":4,"doc_module_name":46,"category_name":117,"show_sort_weight":118,"slug":119},7,"Healthcare",40,"healthcare",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":121,"slug":122},30,"research-report",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":125,"show_sort_weight":126,"slug":127},9,"Religion & Spirituality",20,"religion-spirituality",{"id":126,"doc_module":4,"doc_module_name":46,"category_name":129,"show_sort_weight":126,"slug":130},"World Cup","world-cup",{"id":132,"doc_module":4,"doc_module_name":46,"category_name":133,"show_sort_weight":132,"slug":134},10,"Lifestyle","lifestyle",{"id":136,"doc_module":4,"doc_module_name":46,"category_name":137,"show_sort_weight":106,"slug":138},19,"General","general"]