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We present a way to capture high-information posteriors from training sets that are sparsely sampled over the parameter space for robust simulation-based inference. In physical inference problems, we can often apply domain knowledge to…

Machine Learning · Statistics 2025-09-26 T. Lucas Makinen , Ce Sui , Benjamin D. Wandelt , Natalia Porqueres , Alan Heavens

Compressing large data sets to a manageable number of summaries that are informative about the underlying parameters vastly simplifies both frequentist and Bayesian inference. When only simulations are available, these summaries are…

Instrumentation and Methods for Astrophysics · Physics 2018-08-06 Tom Charnock , Guilhem Lavaux , Benjamin D. Wandelt

We present an implicit likelihood approach to quantifying cosmological information over discrete catalogue data, assembled as graphs. To do so, we explore cosmological parameter constraints using mock dark matter halo catalogues. We employ…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-12 T. Lucas Makinen , Tom Charnock , Pablo Lemos , Natalia Porqueres , Alan Heavens , Benjamin D. Wandelt

We present a comparison of simulation-based inference to full, field-based analytical inference in cosmological data analysis. To do so, we explore parameter inference for two cases where the information content is calculable analytically:…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 T. Lucas Makinen , Tom Charnock , Justin Alsing , Benjamin D. Wandelt

With the development of biomedical science, researchers have increasing access to an abundance of studies focusing on similar research questions. There is a growing interest in the integration of summary information from those studies to…

Methodology · Statistics 2023-11-13 Jianxuan Zang , K. C. G. Chan , Fei Gao

Traditionally, weak lensing cosmological surveys have been analyzed using summary statistics motivated by their analytically tractable likelihoods, or by their ability to access higher-order information, at the cost of requiring…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-21 Denise Lanzieri , Justine Zeghal , T. Lucas Makinen , Alexandre Boucaud , Jean-Luc Starck , François Lanusse

Complex computer simulations are commonly required for accurate data modelling in many scientific disciplines, making statistical inference challenging due to the intractability of the likelihood evaluation for the observed data.…

Machine Learning · Statistics 2019-10-02 Pablo de Castro , Tommaso Dorigo

The ability to compress observational data and accurately estimate physical parameters relies heavily on informative summary statistics. In this paper, we introduce the use of mutual information (MI) as a means of evaluating the quality of…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-12 Ce Sui , Xiaosheng Zhao , Tao Jing , Yi Mao

We consider the fundamental problem of how to automatically construct summary statistics for implicit generative models where the evaluation of the likelihood function is intractable, but sampling data from the model is possible. The idea…

Machine Learning · Statistics 2021-03-31 Yanzhi Chen , Dinghuai Zhang , Michael Gutmann , Aaron Courville , Zhanxing Zhu

State-of-the-art neural network-based methods for learning summary statistics have delivered promising results for simulation-based likelihood-free parameter inference. Existing approaches require density estimation as a post-processing…

In order to compress and more easily interpret Lyman-$\alpha$ forest (Ly$\alpha$F) datasets, summary statistics, e.g. the power spectrum, are commonly used. However, such summaries unavoidably lose some information, weakening the…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-06 S. Chang , P. Nayak , M. Walther , D. Gruen

We address the problem of learning an unknown smooth function and its derivatives from noisy pointwise evaluations under the supremum norm. While classical nonparametric regression provides a strong theoretical foundation, traditional…

Machine Learning · Computer Science 2026-03-10 Davide Maran , Marcello Restelli

Monitoring network traffic data to detect any hidden patterns of anomalies is a challenging and time-consuming task that requires high computing resources. To this end, an appropriate summarization technique is of great importance, where it…

Machine Learning · Computer Science 2021-12-21 Samira Ghodratnama , Mehrdad Zakershahrak , Fariborz Sobhanmanesh

Recent advances in large language models (LLMs) have led to new summarization strategies, offering an extensive toolkit for extracting important information. However, these approaches are frequently limited by their reliance on isolated…

Artificial Intelligence · Computer Science 2024-06-21 Pranav Janjani , Mayank Palan , Sarvesh Shirude , Ninad Shegokar , Sunny Kumar , Faruk Kazi

We introduce Transductive Infomation Maximization (TIM) for few-shot learning. Our method maximizes the mutual information between the query features and their label predictions for a given few-shot task, in conjunction with a supervision…

Machine Learning · Computer Science 2020-10-26 Malik Boudiaf , Ziko Imtiaz Masud , Jérôme Rony , José Dolz , Pablo Piantanida , Ismail Ben Ayed

Extractive text summarization has been an extensive research problem in the field of natural language understanding. While the conventional approaches rely mostly on manually compiled features to generate the summary, few attempts have been…

Computation and Language · Computer Science 2019-12-30 Abhishek Kumar Singh , Manish Gupta , Vasudeva Varma

We study submodular information measures as a rich framework for generic, query-focused, privacy sensitive, and update summarization tasks. While past work generally treats these problems differently ({\em e.g.}, different models are often…

Machine Learning · Computer Science 2020-10-13 Vishal Kaushal , Suraj Kothawade , Ganesh Ramakrishnan , Jeff Bilmes , Himanshu Asnani , Rishabh Iyer

Consider observing an undirected network that is `noisy' in the sense that there are Type I and Type II errors in the observation of edges. Such errors can arise, for example, in the context of inferring gene regulatory networks in genomics…

Machine Learning · Statistics 2014-01-03 Prakash Balachandran , Edoardo Airoldi , Eric Kolaczyk

Weak Lensing (WL) surveys are reaching unprecedented depths, enabling the investigation of very small angular scales. At these scales, nonlinear gravitational effects lead to higher-order correlations making the matter distribution highly…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-01 Divij Sharma , Biwei Dai , Uros Seljak

Suppose we have individual data from an internal study and various summary statistics from relevant external studies. External summary statistics have the potential to improve statistical inference for the internal population; however, it…

Methodology · Statistics 2026-02-06 Wenjie Hu , Ruoyu Wang , Wei Li , Wang Miao
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