Tue, 25 Nov 2025
14:00
C4

From Hostility to Hyperlinks: Mining Social Networks with Heterogenous Ties --- Dynamics and Organisation in Complex Systems: From Cytokines to Cities

Shazia'Ayn Babul & Sofia Medina
(Mathematical Institute University of Oxford)
Abstract
From Hostility to Hyperlinks: Mining Social Networks with Heterogenous Ties
Social networks are a fundamental tool for understanding emergent behaviour in human society, providing a mathematical framework that emphasizes the importance of interactions between the individuals in the network.  While traditional social network models consider all social ties as uniform, either an edge exists or it does not, human nature is more complex and individuals can be linked by relationships that differ in nature, intensity, or sentiment. This tie-level complexity can be represented using more complex network models, including signed, weighted and multiplex networks, where edge-level attributes delineate between the types of interactions.  A growing body of literature is devoted to developing methods for extracting information from such heterogeneous networks, from probing the latent structure to investigating dynamical processes occurring overtop of them.  Here, we focus on ties that vary in sentiment, using signed networks in which edges carry positive or negative weights,  representing  cooperative or antagonistic relationships, and ties that vary in nature, using weighted and multiplex network models. We present models and empirical studies that adapt traditional network science methods to extract information, detect multi-scale structure and characterize dynamical processes, to the heterogeneous network context. Overall, this thesis presents methodological and empirical advances, which demonstrate the advantage of maintaining tie-level complexity in mining social networks.
 
Dynamics and Organisation in Complex Systems: From Cytokines to Cities
Complex systems, with their intricate web of interacting components, are ubiquitous across diverse domains. We employ models and develop novel methodologies to study such systems in a variety of applications. This work is organized into three parts, each addressing systems at progressively larger scales. In the first part, we examine a network of immune system signalling molecules extracted from in vitro gut biopsy data and assess the dynamical influence of individual components on each other. In the second part, we analyse trends in mobile phone application traffic following major events. We detect spatiotemporal changes in application traffic and characterise trends in application usage. Finall, in the third part, we develop a novel methodology to analyse connectivity and reachability in systems modelled by directed hypergraphs, in order to account for multi-body interactions. Building on this, we apply the method to chemical reaction data, unveiling the structure of the data and giving insights into chemical organisation. Taken together, this thesis contributes new methods for the study of complex systems, revealing structural patterns and their effects within datasets, and introducing methodological tools and system-level insights to support further investigation.
 
Tue, 02 Dec 2025
14:00
C4

TBA

Fabio Caccioli
(University College London)
Abstract

TBA

Tue, 11 Nov 2025
14:00
C4

Towards Precision in the Diagnostic Profiling of Patients: Leveraging Symptom Dynamics in the Assessment and Treatment of Mental Disorders

Omid Ebrahimi
(Department of Experimental Psychology, University of Oxford)
Abstract

Major depressive disorder (MDD) is a heterogeneous mental disorder. International guidelines present overall symptom severity as the key dimension for clinical characterisation. However, additional layers of heterogeneity may reside within severity levels related to how symptoms interact with one-another in a patient, called symptom dynamics. We investigate these individual differences by estimating the proportion of patients that display differences in their symptom dynamics while sharing the same diagnosis and overall symptom severity. We show that examining symptom dynamics provides information about the person-specific psychopathological expression of patients beyond severity levels by revealing how symptoms aggravate each other over time. These results suggest that symptom dynamics may serve as a promising new dimension for clinical characterisation. Areas of opportunity are outlined for the field of precision psychiatry in uncovering disorder evolution patterns (e.g., spontaneous recovery; critical worsening) and the identification of granular treatment effects by moving toward investigations that leverage symptom dynamics as their foundation. Future work aimed at investigating the cascading dynamics underlying depression onset and maintenance using the large-scale (N > 5.5 million) CIPA Study are outlined. 

Tue, 04 Nov 2025
14:00
C4

Exploring partition diversity in complex networks

Lena Mangold
(IT:U Interdisciplinary Transformation University Austria)
Abstract
Partition diversity refers to the concept that for some networks there may be multiple, similarly plausible ways to group the nodes, rather than one single best partition. In this talk, I will present two projects that address this idea from different but complementary angles. The first introduces the benchmark stochastic cross-block model (SCBM), a generative model designed to create synthetic networks with two distinct 'ground-truth' partitions. This allows us to study the extent to which existing methods for partition detection are able to reveal the coexistence of multiple underlying structures. The second project builds on this benchmark and paves the way for a Bayesian inference framework to directly detect coexisting partitions in empirical networks. By formulating this model as a microcanonical variant of the SCBM, we can evaluate how well it fits a given network compared to existing models. We find that our method more reliably detects partition diversity in synthetic networks with planted coexisting partitions, compared to methods designed to detect a single optimal partition. Together, the two projects contribute to a broader understanding of partition diversity by offering tools to explore the ambiguity of network structure.
Tue, 28 Oct 2025
14:00
C4

Dynamic Models of Gentrification

Nicola Pedreschi
(University of Bari)
Abstract
The phenomenon of gentrification of an urban area is characterized by the displacement of lower-income residents due to rising living costs and an influx of wealthier individuals. This study presents an agent-based model that simulates urban gentrification through the relocation of three income groups — low, middle, and high — driven by living costs. The model incorporates economic and sociological theories to generate realistic neighborhood transition patterns. We introduce a temporal network-based measure to track the outflow of low-income residents and the inflow of middle- and high-income residents over time. Our experiments reveal that high-income residents trigger gentrification and that our network-based measure consistently detects gentrification patterns earlier than traditional count-based methods, potentially serving as an early detection tool in real-world scenarios. Moreover, the analysis highlights how city density promotes gentrification. This framework offers valuable insights for understanding gentrification dynamics and informing urban planning and policy decisions.
Tue, 28 Oct 2025

14:00 - 15:00
L4

Erdős–Hajnal and VC-dimension

Tung Nguyen
(University of Oxford)
Abstract

A 1977 conjecture of Erdős and Hajnal asserts that for every hereditary class of graphs not containing all graphs, every graph in the class has a polynomial-sized clique or stable set. Fox, Pach, and Suk and independently Chernikov, Starchenko, and Thomas asked whether this conjecture holds for every class of graphs of bounded VC-dimension. In joint work with Alex Scott and Paul Seymour, we resolved this question in the affirmative. The talk will introduce the Erdős–Hajnal conjecture and discuss some ideas behind the proof of the bounded VC-dimension case.

Quantifying digital habits
Sharpe, M Bowen, M Lambiotte, R EPJ Data Science volume 14 issue 1 (30 Sep 2025)
Exchangeable Random Measures for Sparse and Modular Graphs with Overlapping Communities
Todeschini, A Miscouridou, X Caron, F (05 Feb 2016)
Bayesian Nonparametrics for Sparse Dynamic Networks
Naik, C Caron, F Rousseau, J Teh, Y Palla, K (06 Jul 2016)
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