23 papers · ranked by Valyu relevance
Maximilian Mauel, Manuel Hinz, Patrick Seifner, David Berghaus + 1 more
Ordinary differential equations (ODEs) describe dynamical systems evolving deterministically in continuous time. Accurate data-driven modeling of systems as ODEs, a central problem across the natural sciences, remains challenging, especially if the data is sparse or noisy. We introduce FIM-ODE (Foundation Inference…
Jason D. Chobirko, Cédric Feschotte, Andrew Grimson
Transposable elements (TEs) make up about half of the human and mouse genomes and play important regulatory roles in immune responses. However, the cis-regulatory contribution of TEs to immune cell development is less characterized. Here, we analyzed hundreds of chromatin accessibility, gene expression, transcription…
Sicun Gao, Soonho Kong, Edmund M. Clarke
We study SMT problems over the reals containing ordinary differential equations. They are important for formal verification of realistic hybrid systems and embedded software. We develop δ-complete algorithms for SMT formulas that are purely existentially quantified, as well as ∃∀-formulas whose universal quantification…
Yannik P. Wotte, Federico Califano, Stefano Stramigioli, Fanzhang Li + 1 more
'Li Liu'] Neural ordinary differential equations (neural ODEs) are a well-established tool for optimizing the parameters of dynamical systems, with applications in image classification, optimal control, and physics learning. Although dynamical systems of interest often evolve on Lie groups and more general…
Weijie Lu, Paolo Piccione, Yonghui Xia
where Λ(t) is a bounded linear operator on a Banach space Z and F(z, t) is a nonlinear Kurzweil integrable function on Z . The letter D represents that generalized ODEs are defined via its solution, and dz dτ only a notation. Hence, generalized ODEs are fundamentally a notational representation of a class of integral…
Emilien Dupont, Arnaud Doucet, Yee Whye Teh
We show that Neural Ordinary Differential Equations (ODEs) learn representations that preserve the topology of the input space and prove that this implies the existence of functions Neural ODEs cannot represent. To address these limitations, we introduce Augmented Neural ODEs which, in addition to being more expressive…
Yuji Okamoto, Tomoya Takeuchi, Yusuke Sakemi
Since the advent of the "Neural Ordinary Differential Equation (Neural ODE)" paper[1], learning ODEs with deep learning has been applied to system identification, time-series forecasting, and related areas. Exploiting the diffeomorphic nature of ODE solution maps, neural ODEs has also enabled their use in generative…
Shuyu Zuo, Qi Wei, Ye Tian, Ying Cheng + 1 more
Acoustic computing devices, including switches, logic gates, differentiator and integrator, have attracted extensive attentions in both academic research and engineering. However, no scheme of acoustic computing device with more complex functionality has been proposed, such as ordinary differential equation (ODE)…
Authors not listed
Accurate modeling of drug concentration--time (C--t) profiles is central to pharmacokinetics (PK) and plays a critical role in both early-stage compound selection and late-stage individualized dosing. Traditional PK model offer mechanistic interpretability but often rely on rigid assumptions, extensive…
Intekhab Hossain, Viola Fanfani, Jonas Fischer, John Quackenbush + 1 more
Modeling dynamics of gene regulatory networks using ordinary differential equations (ODEs) allow a deeper understanding of disease progression and response to therapy, thus aiding in intervention optimization. Although there exist methods to infer regulatory ODEs, these are generally limited to small networks, rely on…
Margaret P. Chapman, Claire J. Tomlin
Ordinary differential equations (ODEs) provide a classical framework to model the dynamics of biological systems, given temporal experimental data. Qualitative analysis of the ODE model can lead to further biological insight and deeper understanding compared to traditional experiments alone. Simulation of the model…
Stefano Massaroli, Michael Poli, Jinkyoo Park, Atsushi Yamashita + 1 more
'Hajime Asama'] Continuous deep learning architectures have recently re–emerged as Neural Ordinary Differential Equations (Neural ODEs). This infinite–depth approach theoretically bridges the gap between deep learning and dynamical systems, offering a novel perspective. However, deciphering the inner working of these…
Terence Chorba
Fade softly from my eyes, and be once more In masque-like figures on the dreary urn; Farewell! I yet have visions for the night, And for the day faint visions there is store; Vanish, ye Phantoms! from my idle spright, Into the clouds, and never more return! -John Keats, Ode on Indolence, lines 55-60 (1) John Keats…
Zhaozhi Qian, William R. Zame, Lucas M. Fleuren, Paul Elbers + 1 more
'Mihaela van der Schaar'] Modeling a system's temporal behaviour in reaction to external stimuli is a fundamental problem in many areas. Pure Machine Learning (ML) approaches often fail in the small sample regime and cannot provide actionable insights beyond predictions. A promising modification has been to incorporate…
Ling-shan Liu, Xiao Zhang, Hao Zhao, Xue-min Gao + 3 more
'Rong-ping Dai' 'Jian Li'] Background Polyneuropathy, organomegaly, endocrinopathy, monoclonal gammopathy and skin changes (POEMS) syndrome is a rare paraneoplastic syndrome involving multisystem. Optic disc edema (ODE) is the most common ocular manifestation in patients with POEMS syndrome and serves as an independent…
Authors not listed
Oxygen isotope ratios of O2 are important tracers for assessing biological activity in biogeochemical processes in aquatic environments. In fact, changes of 18O/16 O and 17O/16 O ratios of O2 have been successfully implemented as measures for quantifying photosynthetic O2 production and biological O2 respiration.…
Vinicius Santana, Erbet Costa, Carine Rebello, Ana Mafalda Ribeiro + 2 more
This study presents an innovative framework for classifying and predicting odor intensity in perfumery, combining scientific machine learning with mechanistic modeling to enhance fragrance design precision. A probabilistic weight assignment is introduced, utilizing scent classifier outputs to determine the contribution…
Ümit LÜLEYAP, Gökhan KARACAOĞLAN, Ayşegül Yolga TAHİROĞLU, Akgün YAMAN + 6 more
'Akgün YAMAN' 'Perçin PAZARCI' 'Salih ÇETİNER' 'Davut ALPTEKİN' 'Yaşar SERTDEMİR' 'Gülşah EVYAPAN' 'Doğa LÜLEYAP'] Background/aim About half of the cases of obsessive-compulsive disorder (OCD) occurring in childhood/adolescence occur with similar symptoms both in childhood and adulthood. Immunologic stress is claimed…
Sarah C. Jessup, David H. Zald, Bunmi O. Olatunji
Endophenotypes (intermediate phenotypes) are traits hypothesized to represent genetic risk for disorders such as OCD. However, it is unclear if disgust conditioning abnormalities may function as an OCD endophenotype. The present study sought to examine the extent which disgust conditioning abnormalities characterize…
William B. Lynch, Sophia A. Miracle, Stanley I. Goldstein, Jacob A. Beierle + 13 more
Sensitivity to the subjective reinforcing properties of opioids has a genetic component and can predict addiction liability of opioid compounds. We previously identified Zhx2 as a candidate gene underlying increased brain concentration of the oxycodone (OXY) metabolite oxymorphone (OMOR) in BALB/cJ (J) versus BALB/cByJ…
Authors not listed
Sunlight driven transformations of plastics to dissolved organic carbon (DOC) is an important fate for plastic pollution in the ocean; however, the impact on microbial communities, including their abilities to adapt and metabolize plastic photo-products, is less understood. In this study, we characterized the…
Sean C. Piantadosi, Lora L. McClain, Lambertus Klei, Jiebiao Wang + 5 more
Obsessive compulsive disorder (OCD) is a chronic and severe psychiatric disorder for which effective treatment options are limited. Structural and functional neuroimaging studies have consistently implicated the orbitofrontal cortex (OFC) and striatum in the pathophysiology of the disorder. Recent genetic evidence…
Janita Bralten, Joanna Widomska, Ward De Witte, Dongmei Yu + 10 more
Obsessive-compulsive symptoms in the population have been linked to obsessive-compulsive disorder (OCD) in previous genetic and epidemiological studies. Genetic studies also show a link to insulin signalling. Here we aim to assess the presence and extent of genetic and biological overlap between OCD, OCD symptoms in…