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Our research focuses on both theoretical and applied aspects in the broad area of machine learning and statistical computing.  

We study machine learning algorithms for solving a variety of learning tasks, including supervised, semi-supervised, unsupervised, and reinforcement learning tasks. A special focus is devoted to fairness of machine learning, optimisation for machine learning, kernel methods, information theory, federated learning, and scalable models and tools for linking massive and distributed multimodal data. Our work on computational statistical methods include Bayesian inference, functional data analysis, large-scale statistical inference, and non-parametric estimation. 

Chengchun's research lies in developing statistical learning methodologies in reinforcement learning and causal inference. With the fast development of new technology, modern datasets often consist of massive observations, high-dimensional covariates and are characterized by some degree of heterogeneity. In an era of big and complex data, he is interested in developing computationally efficient algorithms with statistical performance guarantees. 

Ieva's research centres around Bayesian inference with a focus on inverse problems and uncertainty quantification in physics-based problems. This involves Gaussian processes for modelling complex spatial and temporal dependencies, and variational inference for scalable posterior estimation in high-dimensional Bayesian models. Applying these techniques to partial differential equation (PDE) based inverse problems and experimental design is of particular interest. 

Joshua's research interests involve improving practices in data science and machine learning to reduce the impact of bias, particularly biases associated with social harms and scientific reproducibility. This includes developing methods and software for statistical inference after model selection, and using causality to analyse the fairness and interpretability of algorithms in machine learning and artificial intelligence.

Kostas' research interests revolve around Bayesian Machine Learning methods such as Factor analysis, Mixture models, Gaussian processes and Sequential methods. Focus is given on developing suitable efficient computational schemes in the presence of data that are potentially partial, noisy and from multiple sources. The developed computations schemes utilise Markov Chain Monte Carlo and sequential Monte Carlo techniques to facilitate tasks such as prediction, model choice and averaging, parameter estimation and portfolio optimisation.

Marcos' research areas include data linkage methods and tools for massive and/or multimodal datasets, design and validation of machine learning/artificial intelligence models for healthcare and socioeconomic data, and federated learning models. On the educational side, his research comprises the design of teaching materials and practices accounting for interdisciplinarity and data decolonisation.

Milan's research interests are in developing new methodologies in the areas of machine learning and statistical inference. This involves developing new algorithms and establishing their theoretical performance guarantees to enable design of efficient intelligent systems. He has worked in the areas of scalable optimisation methods for machine learning, multi-armed bandits, multi-agent systems, algorithms and uncertainty, and network system control and optimisation.

Tengyao is broadly interested in the area of high-dimensional statistics. His research aims to develop computationally efficient procedures for high-dimensional problems, while at the same time understanding the potential statistical limitations imposed by computational constraints. 

Yining's research areas include change-point detection, time series, nonparametric statistics (in particular, shape constraint estimation) and computing.

Zoltan's research interest is on kernel methods, information theoretical estimators, scalable computation and their interaction, with focus on fundamental mathematical questions which are often inspired by and intertwined with applications. The key properties of kernels motivating his research are that (i) they are able to capture the similarity of a wide range of data types, (ii) the associated reproducing kernel Hilbert space (RKHS) is quite flexible and can be rich enough for instance to encode probability distributions without loss of information, (iii) still they are computationally tractable, (iv) the Hilbert structure of RKHSs facilitates their statistical analysis, (v) they extend naturally to the vector-valued case encoding the dependency among output coordinates.

Machine learning and computational statistical methods that we study have applications in a variety of domains. We work on such applications in collaboration with various academic and industrial partners, for example, in the areas of online platforms, healthcare systems, and finance. Particular applications include methods for predicting popularity of social media content, recommender systems in online platforms, standardising surgical assessments, dynamic portfolio allocation, interest rate forecasting, and forecasting of oil prices.

Chengchun's motivation behind his work stems from real world applications. In medicine, applying reinforcement learning algorithms could assist patients in improving their health status. In ride-sharing platforms, applying RL algorithms could increase its revenue and customer satisfaction. His research is motivated to several key issues in these applications.

Ieva's work includes interdisciplinary projects in climate science, particularly on experimental design for ice sheet modelling and analysis of climate simulator data. She works in collaboration with the British Antarctic Survey and the Institute of Computing for Climate Science at the University of Cambridge.

Kostas has mostly engaged with financial applications, working on time series consisting of bonds, options, asset prices and volatility indices. He has also worked on infectious diseases, exploring the use of stochastic epidemic models.

Marcos' recent applications include i) design of a 3-tier alert-early system outbreaks with pandemic potential (); ii) design of a Social Inequality Index () for measuring the effects of the COVID-19 pandemic over vulnerable communities; iii) design of artificial intelligence models for estimating underreporting of COVID-19 cases and deaths; iv) a framework to evaluate gait assessment algorithms applied to Parkinson’s disease; v) Early Childhood Friendly Municipal Index (), a multi-level index based on the Nurturing Care Framework to classify Brazilian municipalities regarding their support to early childhood development, and vi) bespoke data linkage tools to build the 100 Million Cohort, a longitudinal, multimodal database aggregating healthcare and socioeconomic data from over 130 million individuals.

Milan's research has found applications in several different areas, including online platforms, recommender systems, computer network systems, and systems for machine learning.

Tengyao has worked on applications including medical statistics, financial data analysis and statistical learning-assisted material discovery.  

Yining has worked on applications in several areas, including medical statistics, financial time series data, and insurance.

Zoltan has worked on safety-critical learning, style transfer, shape-constrained prediction, hypothesis testing, functional output regression, distribution regression, estimation of divergence and independence measures.

Ivan Ustyuzhaninov, Ieva Kazlauskaite, Carl Henrik Ek and Neill Campbell (2020).  Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics, Proceedings of Machine Learning Research,108:3057-3067.

Jan Povala, Eva Kazlauskaite, Eky Febrianto, Fehmi Cirak and Mark Girolami (2022). Variational Bayesian approximation of inverse problems using sparse precision matrice Computer Methods in Applied Mechanics and Engineering, 393. 

Arnaud Vadeboncoeur, Ömer Deniz Akyildiz, Ieva Kazlauskaite, Mark Girolami and Fehmi Cirak (2023). Journal of Computational Physics, Volume 491.

T. Dubiel-Teleszynski, K. Kalogeropoulos, N. Karouzakis (2022) . To appear in Management Science. 

A. Beskos, J. Dureau and K. Kalogeropoulos (2015) . Biometrika, 102 (4). pp. 809-827.

Shi, Chengchun, Wang, Xiaoyu, Luo, Shikai, Zhu, Hongtu, Ye, Jieping, & Song, Rui (2023). . Journal of the American Statistical Association, 118 (543), 2059-2071.

Shi, Chengchun, Uehara, Masatoshi, Huang, Jiawei, & Jiang, Nan (2022). . International Conference on Machine Learning (ICML), pages 20057-20094.  

Pierre-Cyril Aubin-Frankowski, Zoltan Szabo (2022). . Journal of Machine Learning Research, 23 (297):1-54.

Patric Bonnier, Harald Oberhauser, Zoltan Szabo (2023).  (NeurIPS), pages 11049-11074.

Kim, Jung-Hun, Vojnovic, Milan and Yun, Se-Young (2021) . Proceedings of the 39th International Conference on Machine Learning. Journal of Machine Learning Research, pp. 11229-11254.

Lee, Dabeen and Vojnovic, Milan (2021) S. In: Ranzato, Marc'Aurelio, Beygelzimer, Alina, Dauphin, Yann, Liang, Percy S. and Wortman Vaughan, Jenn, (eds.) Advances in Neural Information Processing Systems 34 - 35th Conference on Neural Information Processing Systems, NeurIPS 2021. Advances in Neural Information Processing Systems. Neural Information Processing Systems Foundation, pp. 19375-19384.

Gao, Fengnan and Wang, Tengyao (2022)  Annals of Statistics.

Follain, Bertille, Wang, Tengyao and Samworth, Richard J. (2022)  Journal of the Royal Statistical Society. Series B: Statistical Methodology, 84 (3). 1023 - 1055.

Calais-Ferreira, Lucas, Barreto, Marcos , Barreto, Marcos , Mendonça, Everton, Dite, Gillian S, Hickey, Martha, Ferreira, Paulo H, Scurrah, Katrina J and L Hopper, John (2022) International Journal of Epidemiology, 51 (5). 1502 - 1510. 

Mauricio L Barreto, Maria Yury Ichihara, Julia M Pescarini, M Sanni Ali, Gabriela L Borges, Rosemeire L Fiaccone, Rita de Cássia Ribeiro-Silva, Carlos A Teles, Daniela Almeida, Samila Sena, Roberto P Carreiro, Liliana Cabral, Bethania A Almeida, George C G Barbosa, Robespierre Pita, Marcos E Barreto, Andre A F Mendes, Dandara O Ramos, Elizabeth B Brickley, Nivea Bispo, Daiane B Machado, Enny S Paixao, Laura C Rodrigues, Liam Smeeth. . International Journal of Epidemiology, Volume 51, Issue 2, April 2022, Pages e27–e38.

Chen, Yining (2020) . Biometrika. ISSN 0006-3444. 

Feng, Oliver Y., Chen, Yining, Han, Qiyang, Carroll, Raymond J and Samworth, Richard J. (2022) Journal of the Royal Statistical Society. Series B: Statistical Methodology. ISSN 1369-7412.