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We study the problem of best-arm identification with fixed confidence in stochastic linear bandits. The objective is to identify the best arm with a given level of certainty while minimizing the sampling budget. We devise a simple algorithm…

Machine Learning · Statistics 2020-06-30 Yassir Jedra , Alexandre Proutiere

For high dimensional data, some of the standard statistical techniques do not work well. So modification or further development of statistical methods are necessary. In this paper, we explore these modifications. We start with the important…

Statistical Finance · Quantitative Finance 2024-05-29 Arnab Chakrabarti , Rituparna Sen

There is currently a dearth of appropriate methods to estimate the causal effects of multiple treatments when the outcome is binary. For such settings, we propose the use of nonparametric Bayesian modeling, Bayesian Additive Regression…

Methodology · Statistics 2020-03-02 Chenyang Gu , Michael J. Lopez , Liangyuan Hu

Randomized controlled trials (RCTs) frequently utilize covariate-adaptive randomization (CAR) (e.g., stratified block randomization) and commonly suffer from imperfect compliance. This paper studies the identification and inference for the…

Econometrics · Economics 2025-05-02 Federico A. Bugni , Mengsi Gao , Filip Obradovic , Amilcar Velez

Ranking problems, also known as preference learning problems, define a widely spread class of statistical learning problems with many applications, including fraud detection, document ranking, medicine, credit risk screening, image ranking…

Machine Learning · Computer Science 2020-12-17 Tino Werner

When facing data with imbalanced classes or groups, practitioners follow an intriguing strategy to achieve best results. They throw away examples until the classes or groups are balanced in size, and then perform empirical risk minimization…

Machine Learning · Statistics 2023-02-23 Kamalika Chaudhuri , Kartik Ahuja , Martin Arjovsky , David Lopez-Paz

When images are statistically described by a generative model we can use this information to develop optimum techniques for various image restoration problems as inpainting, super-resolution, image coloring, generative model inversion, etc.…

Image and Video Processing · Electrical Eng. & Systems 2020-06-17 Kalliopi Basioti , George V. Moustakides

The question of selecting the "best" amongst different choices is a common problem in statistics. In drug development, our motivating setting, the question becomes, for example: what is the dose that gives me a pre-specified risk of…

Statistics Theory · Mathematics 2018-03-15 Pavel Mozgunov , Thomas Jaki

The treatment allocation mechanism in a randomized clinical trial can be optimized by maximizing the nonparametric efficiency bound for a specific measure of treatment effect. Optimal treatment allocations which may or may not depend on…

Methodology · Statistics 2025-05-23 Wei Zhang , Zhiwei Zhang , Aiyi Liu

This dissertation explores the impact of bias in deep neural networks and presents methods for reducing its influence on model performance. The first part begins by categorizing and describing potential sources of bias and errors in data…

Machine Learning · Computer Science 2023-08-21 Agnieszka Mikołajczyk-Bareła

The study of collective animal behaviour must progress through a comparison between the theoretical predictions of numerical models and data coming from empirical observations. To this aim it is important to develop methods of…

Quantitative Methods · Quantitative Biology 2014-10-10 Andrea Cavagna , Irene Giardina , Alberto Orlandi , Giorgio Parisi , Andrea Procaccini

The nonrigid alignment between a pre-operative biomechanical model and an intra-operative observation is a critical step to track the motion of a soft organ in augmented surgery. While many elastic registration procedures introduce…

Optimization and Control · Mathematics 2022-06-23 Guillaume Mestdagh , Stéphane Cotin

In the absence of data from a randomized trial, researchers often aim to use observational data to draw causal inference about the effect of a treatment on a time-to-event outcome. In this context, interest often focuses on the…

Methodology · Statistics 2021-06-15 Ted Westling , Alex Luedtke , Peter Gilbert , Marco Carone

Astroinformatics is a new impact area in the world of astronomy, occasionally called the final frontier, where several astrophysicists, statisticians and computer scientists work together to tackle various data intensive astronomical…

Computational Engineering, Finance, and Science · Computer Science 2015-04-30 Snehanshu Saha , Surbhi Agrawal , Manikandan. R , Kakoli Bora , Swati Routh , Anand Narasimhamurthy

Deep learning's success has been attributed to the training of large, overparameterized models on massive amounts of data. As this trend continues, model training has become prohibitively costly, requiring access to powerful computing…

Machine Learning · Computer Science 2021-11-25 Ravi S Raju , Kyle Daruwalla , Mikko Lipasti

Development of resistance limits efficiency of present anticancer therapies and preventing it remains big challenge in cancer research. It is accepted, at intuitive level, that the resistance emerges as a consequence of cancer cells…

Quantitative Methods · Quantitative Biology 2015-06-02 Branislav Brutovsky , Denis Horvath

Using methods of statistical mechanics, we analyse the effect of outliers on the supervised learning of a classification problem. The learning strategy aims at selecting informative examples and discarding outliers. We compare two…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rainer Dietrich , Manfred Opper

Purpose: Machine learning is broadly used for clinical data analysis. Before training a model, a machine learning algorithm must be selected. Also, the values of one or more model parameters termed hyper-parameters must be set. Selecting…

Machine Learning · Computer Science 2018-12-10 Xueqiang Zeng , Gang Luo

This thesis aims to study some of the mathematical challenges that arise in the analysis of statistical sequential decision-making algorithms for postoperative patients follow-up. Stochastic bandits (multiarmed, contextual) model the…

Machine Learning · Statistics 2024-05-06 Patrick Saux

Bloodstain Pattern Analysis (BPA) helps us understand how bloodstains form, with a focus on their size, shape, and distribution. This aids in crime scene reconstruction and provides insight into victim positions and crime investigation. One…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Yilin Li , Weining Shen