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In this paper we provide a new criterion for the comparison of claims, when we have conditional claims arising in stop loss contracts or contracts with franchise deductible. These stochastic comparisons are made on the basis of the Tail…

Statistics Theory · Mathematics 2024-12-12 Félix Belzunce , Alba M. Franco-Pereira , Julio Mulero

Tracking Any Point (TAP) in a video is a challenging computer vision problem with many demonstrated applications in robotics, video editing, and 3D reconstruction. Existing methods for TAP rely heavily on complex tracking-specific inductive…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Artem Zholus , Carl Doersch , Yi Yang , Skanda Koppula , Viorica Patraucean , Xu Owen He , Ignacio Rocco , Mehdi S. M. Sajjadi , Sarath Chandar , Ross Goroshin

In this paper, we obtain optimal uniform lower tail estimates for the probability distribution of the properly scaled length of the longest up/right path of the last passage site percolation model considered by Johansson in [12]. The…

Probability · Mathematics 2007-05-23 Jinho Baik , Percy Deift , Ken McLaughlin , Peter Miller , Xin Zhou

Distributed storage systems often employ erasure codes to achieve high data reliability while attaining space efficiency. Such storage systems are known to be susceptible to long tails in response time. It has been shown that in modern…

Information Theory · Computer Science 2017-08-04 Vaneet Aggarwal , Tian Lan

Despite rapid advancements in lifelong learning (LLL) research, a large body of research mainly focuses on improving the performance in the existing \textit{static} continual learning (CL) setups. These methods lack the ability to succeed…

Machine Learning · Computer Science 2023-01-30 Soumya Banerjee , Vinay Kumar Verma , Vinay P. Namboodiri

This work studies applications and generalizations of a simple estimation technique that provides exponential concentration under heavy-tailed distributions, assuming only bounded low-order moments. We show that the technique can be used…

Machine Learning · Computer Science 2016-04-19 Daniel Hsu , Sivan Sabato

Drift analysis is one of the state-of-the-art techniques for the runtime analysis of randomized search heuristics (RSHs) such as evolutionary algorithms (EAs), simulated annealing etc. The vast majority of existing drift theorems yield…

Neural and Evolutionary Computing · Computer Science 2018-05-30 Per Kristian Lehre , Carsten Witt

The extreme value theory is very popular in applied sciences including Finance, economics, hydrology and many other disciplines. In univariate extreme value theory, we model the data by a suitable distribution from the general max-domain of…

Methodology · Statistics 2019-05-09 Abhik Ghosh

Distributed optimization has become the default training paradigm in modern machine learning due to the growing scale of models and datasets. To mitigate communication overhead, local updates are often applied before global aggregation,…

Machine Learning · Computer Science 2025-08-15 Su Hyeong Lee , Manzil Zaheer , Tian Li

In class incremental learning (CIL) a model must learn new classes in a sequential manner without forgetting old ones. However, conventional CIL methods consider a balanced distribution for each new task, which ignores the prevalence of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Xialei Liu , Yu-Song Hu , Xu-Sheng Cao , Andrew D. Bagdanov , Ke Li , Ming-Ming Cheng

We investigate the tail behaviour of the steady state distribution of a stochastic recursion that generalises Lindley's recursion. This recursion arises in queuing systems with dependent interarrival and service times, and includes…

Probability · Mathematics 2014-04-23 Maria Vlasiou , Zbigniew Palmowski

For time series data observed at non-random and possibly non-equidistant time points, we estimate the trend function nonparametrically. Under the assumption of a bounded total variation of the function and low-order moment conditions on the…

Statistics Theory · Mathematics 2025-02-13 Michael H. Neumann , Anne Leucht

Motivated by the empirical observation of power-law distributions in the credits (e.g., ``likes'') of viral posts in social media, we introduce a high-dimensional tail index regression model and propose methods for estimation and inference…

Machine Learning · Statistics 2026-01-19 Yuya Sasaki , Jing Tao , Yulong Wang

Consider a random sample in the max-domain of attraction of a multivariate extreme value distribution such that the dependence structure of the attractor belongs to a parametric model. A new estimator for the unknown parameter is defined as…

Statistics Theory · Mathematics 2012-10-05 John H. J. Einmahl , Andrea Krajina , Johan Segers

Survival analysis studies and predicts the time of death, or other singular unrepeated events, based on historical data, while the true time of death for some instances is unknown. Survival trees enable the discovery of complex nonlinear…

Machine Learning · Computer Science 2024-01-10 Tim Huisman , Jacobus G. M. van der Linden , Emir Demirović

Asymptotic theory of tail index estimation has been studied extensively in the frequentist literature on extreme values, but rarely in the Bayesian context. We investigate whether popular Bayesian kernel mixture models are able to support…

Statistics Theory · Mathematics 2018-04-19 Cheng Li , Lizhen Lin , David B. Dunson

Model approximations are common practice when estimating structural or quasi-structural models. The paper considers the econometric properties of estimators that utilize projections to reimpose information about the exact model in the form…

Econometrics · Economics 2024-03-05 Andreas Tryphonides

Online continual learning aims to get closer to a live learning experience by learning directly on a stream of data with temporally shifting distribution and by storing a minimum amount of data from that stream. In this empirical…

Modern latency-critical online services such as search engines often process requests by consulting large input data spanning massive parallel components. Hence the tail latency of these components determines the service latency. To trade…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-12 Rui Han , Siguang Huang , Fei Tang , Fugui Chang , Jianfeng Zhan

In empirical studies of random walks, continuous trajectories of animals or individuals are usually sampled over a finite number of points in space and time. It is however unclear how this partial observation affects the measured…

Physics and Society · Physics 2018-03-13 Riccardo Gallotti , Rémi Louf , Jean-Marc Luck , Marc Barthelemy