Semantic Information Pursuit for Multimodal Data Analysis
Lead Research Organisation:
University of Oxford
Department Name: Statistics
Abstract
Abstracts are not currently available in GtR for all funded research. This is normally because the abstract was not required at the time of proposal submission, but may be because it included sensitive information such as personal details.
People |
ORCID iD |
Arnaud Doucet (Principal Investigator) |
Publications
Paulin D
(2022)
A 4D-Var method with flow-dependent background covariances for the shallow-water equations
in Statistics and Computing
Campbell A
(2022)
A Continuous Time Framework for Discrete Denoising Models
Xu T
(2020)
An accelerated correlation filter tracker
in Pattern Recognition
Xu T
(2019)
An Accelerated Correlation Filter Tracker
Tadic V
(2019)
Analyticity of Entropy Rates of Continuous-State Hidden Markov Models
in IEEE Transactions on Information Theory
Tadic V
(2021)
Asymptotic Properties of Recursive Particle Maximum Likelihood Estimation
in IEEE Transactions on Information Theory
Dupont E.
(2019)
Augmented neural ODEs
in Advances in Neural Information Processing Systems
Clerico E
(2022)
Chained Generalisation Bounds
Title | Estimation of Copulas via Maximum Mean Discrepancy |
Description | This article deals with robust inference for parametric copula models. Estimation using canonical maximum likelihood might be unstable, especially in the presence of outliers. We propose to use a procedure based on the maximum mean discrepancy (MMD) principle. We derive nonasymptotic oracle inequalities, consistency and asymptotic normality of this new estimator. In particular, the oracle inequality holds without any assumption on the copula family, and can be applied in the presence of outliers or under misspecification. Moreover, in our MMD framework, the statistical inference of copula models for which there exists no density with respect to the Lebesgue measure on [0,1]d, as the Marshall-Olkin copula, becomes feasible. A simulation study shows the robustness of our new procedures, especially compared to pseudo-maximum likelihood estimation. An R package implementing the MMD estimator for copula models is available. Supplementary materials for this article are available online. |
Type Of Material | Database/Collection of data |
Year Produced | 2022 |
Provided To Others? | Yes |
URL | https://tandf.figshare.com/articles/dataset/Estimation_of_Copulas_via_Maximum_Mean_Discrepancy/19487... |
Title | Estimation of Copulas via Maximum Mean Discrepancy |
Description | This article deals with robust inference for parametric copula models. Estimation using canonical maximum likelihood might be unstable, especially in the presence of outliers. We propose to use a procedure based on the maximum mean discrepancy (MMD) principle. We derive nonasymptotic oracle inequalities, consistency and asymptotic normality of this new estimator. In particular, the oracle inequality holds without any assumption on the copula family, and can be applied in the presence of outliers or under misspecification. Moreover, in our MMD framework, the statistical inference of copula models for which there exists no density with respect to the Lebesgue measure on [0,1]d, as the Marshall-Olkin copula, becomes feasible. A simulation study shows the robustness of our new procedures, especially compared to pseudo-maximum likelihood estimation. An R package implementing the MMD estimator for copula models is available. Supplementary materials for this article are available online. |
Type Of Material | Database/Collection of data |
Year Produced | 2022 |
Provided To Others? | Yes |
URL | https://tandf.figshare.com/articles/dataset/Estimation_of_Copulas_via_Maximum_Mean_Discrepancy/19487... |
Title | UPIQ: Unified Photometric Image Quality dataset |
Description | Unified Photometric Image Quality dataset (UPIQ) UPIQ dataset is intended for training and evaluation of full-reference HDR image quality metrics. The dataset contains 84 reference images and 4159 distorted images from four datasets, TID2013 [1] (SDR), LIVE [2] (SDR), Narwaria et al. [3] (HDR) and Korshunov et al. [4] (HDR). Quality scores were obtained by re-aligning existing datasets to a common unified quality scale. This was achieved by collecting additional cross-dataset quality comparisons and re-scaling existing data with a psychometric scaling method. Images in the dataset are represented in absolute photometric and colorimetric units, corresponding to light emitted from a display. [1] Ponomarenko, N., Jin, L., Ieremeiev, O., Lukin, V., Egiazarian, K., Astola, J., Benoit: Image database tid2013: Peculiarities, results and perspectives. Signal Processing: Image Communication 30, 57 - 77 (2015) [2] Sheikh, H., Sabir, M., Bovik, A.: A Statistical Evaluation of Recent Full Reference Image Quality Assessment Algorithms. IEEE Transactions on Image Processing 15(11), 3440-3451 (2006). https://doi.org/10.1109/TIP.2006.881959, http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=1709988 [3] Narwaria, M., P. Da Silva, M., Le Callet, P., Pepion, R.: Tone mapping-based high-dynamic-range image compression: study of optimization criterion and perceptual quality. Optical Engineering 52(10) (2013). https://doi.org/10.1117/1.OE.52.10.102008 [4] Korshunov, P., Hanhart, P., Richter, T., Artusi, A., Mantiuk, R., Ebrahimi, T.: Subjective quality assessment database of HDR images compressed with jpeg xt. In: 2015 Seventh International Workshop on Quality of Multimedia Experience (QoMEX). pp. 1-6 (May 2015). https://doi.org/10.1109/QoMEX.2015.7148119 |
Type Of Material | Database/Collection of data |
Year Produced | 2020 |
Provided To Others? | Yes |
URL | https://www.repository.cam.ac.uk/handle/1810/315373 |
Title | UPIQ: Unified Photometric Image Quality dataset (04.2021) |
Description | Unified Photometric Image Quality dataset (UPIQ) UPIQ dataset is intended for training and evaluation of full-reference HDR image quality metrics. The dataset contains 84 reference images and 4159 distorted images from four datasets, TID2013 [1] (SDR), LIVE [2] (SDR), Narwaria et al. [3] (HDR) and Korshunov et al. [4] (HDR). Quality scores were obtained by re-aligning existing datasets to a common unified quality scale. This was achieved by collecting additional cross-dataset quality comparisons and re-scaling existing data with a psychometric scaling method. Images in the dataset are represented in absolute photometric and colorimetric units, corresponding to light emitted from a display. This is an updated version of the dataset with the fixed pix_per_deg column. See README.md. [1] Ponomarenko, N., Jin, L., Ieremeiev, O., Lukin, V., Egiazarian, K., Astola, J., Benoit: Image database tid2013: Peculiarities, results and perspectives. Signal Processing: Image Communication 30, 57 - 77 (2015) [2] Sheikh, H., Sabir, M., Bovik, A.: A Statistical Evaluation of Recent Full Reference Image Quality Assessment Algorithms. IEEE Transactions on Image Processing 15(11), 3440-3451 (2006). https://doi.org/10.1109/TIP.2006.881959, http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=1709988 [3] Narwaria, M., P. Da Silva, M., Le Callet, P., Pepion, R.: Tone mapping-based high-dynamic-range image compression: study of optimization criterion and perceptual quality. Optical Engineering 52(10) (2013). https://doi.org/10.1117/1.OE.52.10.102008 [4] Korshunov, P., Hanhart, P., Richter, T., Artusi, A., Mantiuk, R., Ebrahimi, T.: Subjective quality assessment database of HDR images compressed with jpeg xt. In: 2015 Seventh International Workshop on Quality of Multimedia Experience (QoMEX). pp. 1-6 (May 2015). https://doi.org/10.1109/QoMEX.2015.7148119 |
Type Of Material | Database/Collection of data |
Year Produced | 2021 |
Provided To Others? | Yes |
URL | https://www.repository.cam.ac.uk/handle/1810/321331 |