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pro vyhledávání: '"Harrington, Heather A"'
We investigate the geometry of a family of log-linear statistical models called quasi-independence models. The toric fiber product is useful for understanding the geometry of parameter inference in these models because the maximum likelihood degree i
Externí odkaz:
http://arxiv.org/abs/2405.13897
The challenge of selecting the most relevant features of a given dataset arises ubiquitously in data analysis and dimensionality reduction. However, features found to be of high importance for the entire dataset may not be relevant to subsets of inte
Externí odkaz:
http://arxiv.org/abs/2404.06993
Autor:
Byrne, Helen, Harrington, Heather, Ovchinnikov, Alexey, Pogudin, Gleb, Rahkooy, Hamid, Soto, Pedro
Differential equation models are crucial to scientific processes. The values of model parameters are important for analyzing the behaviour of solutions. A parameter is called globally identifiable if its value can be uniquely determined from the inpu
Externí odkaz:
http://arxiv.org/abs/2402.04241
Autor:
Puente, Luis David García, Gross, Elizabeth, Harrington, Heather A, Johnston, Matthew, Meshkat, Nicolette, Millán, Mercedes Pérez, Shiu, Anne
Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robustness (ACR). A biochemical system exhibits ACR in some species if the
Externí odkaz:
http://arxiv.org/abs/2401.00078
We investigate algebraic and topological signatures of networks of coupled oscillators. Translating dynamics into a system of algebraic equations enables us to identify classes of network topologies that exhibit unexpected behaviors. Many previous st
Externí odkaz:
http://arxiv.org/abs/2312.16069
Plants are a paradigm for active shape control in response to stimuli. For instance, it is well-known that a tilted plant will eventually straighten vertically, demonstrating the influence of both an external stimulus, gravity, and an internal stimul
Externí odkaz:
http://arxiv.org/abs/2309.08950
Autor:
Reise, Wojciech, Fernández, Ximena, Dominguez, Maria, Harrington, Heather A., Beguerisse-Díaz, Mariano
We present a topological audio fingerprinting approach for robustly identifying duplicate audio tracks. Our method applies persistent homology on local spectral decompositions of audio signals, using filtered cubical complexes computed from mel-spect
Externí odkaz:
http://arxiv.org/abs/2309.03516
Autor:
Stolz, Bernadette J., Dhesi, Jagdeep, Bull, Joshua A., Harrington, Heather A., Byrne, Helen M., Yoon, Iris H. R.
Topological data analysis (TDA) is an active field of mathematics for quantifying shape in complex data. Standard methods in TDA such as persistent homology (PH) are typically focused on the analysis of data consisting of a single entity (e.g., cells
Externí odkaz:
http://arxiv.org/abs/2308.06205
Autor:
Yang, Jingjie, Fang, Heidi, Dhesi, Jagdeep, Yoon, Iris H. R., Bull, Joshua A., Byrne, Helen M., Harrington, Heather A., Grindstaff, Gillian
The complex and dynamic crosstalk between tumour and immune cells results in tumours that can exhibit distinct qualitative behaviours - elimination, equilibrium, and escape - and intricate spatial patterns, yet share similar cell configurations in th
Externí odkaz:
http://arxiv.org/abs/2308.05294
Organoids are multi-cellular structures which are cultured in vitro from stem cells to resemble specific organs (e.g., brain, liver) in their three-dimensional composition. Dynamic changes in the shape and composition of these model systems can be us
Externí odkaz:
http://arxiv.org/abs/2212.10883