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Estimating the matrix of connections probabilities is one of the key questions when studying sparse networks. In this work, we consider networks generated under the sparse graphon model and the in-homogeneous random graph model with missing…

Statistics Theory · Mathematics 2021-04-28 Solenne Gaucher , Olga Klopp

Data in the form of pairwise comparisons arises in many domains, including preference elicitation, sporting competitions, and peer grading among others. We consider parametric ordinal models for such pairwise comparison data involving a…

This paper focuses on stochastic saddle point problems with decision-dependent distributions. These are problems whose objective is the expected value of a stochastic payoff function and whose data distribution drifts in response to…

Optimization and Control · Mathematics 2022-11-15 Killian Wood , Emiliano Dall'Anese

We consider a recursive algorithm to construct an aggregated estimator from a finite number of base decision rules in the classification problem. The estimator approximately minimizes a convex risk functional under the l1-constraint. It is…

Statistics Theory · Mathematics 2007-06-13 Anatoli Juditsky , Alexander Nazin , Alexandre Tsybakov , Nicolas Vayatis

Algorithmic stability is a central concept in statistics and learning theory that measures how sensitive an algorithm's output is to small changes in the training data. Stability plays a crucial role in understanding generalization,…

Statistics Theory · Mathematics 2026-01-21 Abhinav Chakraborty , Yuetian Luo , Rina Foygel Barber

Classifying sequential data as early and as accurately as possible is a challenging yet critical problem, especially when a sampling cost is high. One algorithm that achieves this goal is the sequential probability ratio test (SPRT), which…

Machine Learning · Computer Science 2021-02-09 Akinori F. Ebihara , Taiki Miyagawa , Kazuyuki Sakurai , Hitoshi Imaoka

We consider the problem of rank aggregation based on new distance measures derived through axiomatic approaches and based on score-based methods. In the first scenario, we derive novel distance measures that allow for discriminating between…

Combinatorics · Mathematics 2012-03-30 Farzad Farnoud , Behrouz Touri , Olgica Milenkovic

Many decision problems cannot be solved exactly and use several estimation algorithms that assign scores to the different available options. The estimation errors can have various correlations, from low (e.g. between two very different…

Machine Learning · Computer Science 2023-09-06 Theo Delemazure , François Durand , Fabien Mathieu

In this paper, we propose a suboptimal moving horizon estimator for nonlinear systems. For the stability analysis we transfer the "feasibility-implies-stability/robustness" paradigm from model predictive control to the context of moving…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Julian D. Schiller , Sven Knüfer , Matthias A. Müller

Composite endpoints are commonly used with an anticipation that clinically relevant endpoints as a whole would yield meaningful treatment benefits. The win ratio is a rank-based statistic to summarize composite endpoints, allowing…

Methodology · Statistics 2022-12-14 Di Zhang , Stephen R. Wisniewski , Jong-Hyeon Jeong

The Stochastic Sequential Threshold Assignment Problem (SSTAP) addresses the optimal assignment of arriving tasks (jobs) to available resources (workers) to maximize a reward function which consists of indicator functions that incorporate…

Optimization and Control · Mathematics 2018-05-07 Aristomenis Tsopelakos

With the pervasiveness of Stochastic Shortest-Path (SSP) problems in high-risk industries, such as last-mile autonomous delivery and supply chain management, robust planning algorithms are crucial for ensuring successful task completion…

Artificial Intelligence · Computer Science 2024-08-19 Clinton Enwerem , Erfaun Noorani , John S. Baras , Brian M. Sadler

Stochastic approximation algorithm is a useful technique which has been exploited successfully in probability theory and statistics for a long time. The step sizes used in stochastic approximation are generally taken to be deterministic and…

Probability · Mathematics 2019-09-25 Ujan Gangopadhyay , Krishanu Maulik

Variational inference often minimizes the "reverse" Kullbeck-Leibler (KL) KL(q||p) from the approximate distribution q to the posterior p. Recent work studies the "forward" KL KL(p||q), which unlike reverse KL does not lead to variational…

Machine Learning · Statistics 2022-09-07 Liyi Zhang , David M. Blei , Christian A. Naesseth

Though athletics statistics are abundant, it is a difficult task to quantitatively compare performances from different events of track, field, and road running in a meaningful way. There are several commonly-used methods, but each has its…

Applications · Statistics 2014-08-27 Brian Godsey

We consider a general online stochastic optimization problem with multiple budget constraints over a horizon of finite time periods. In each time period, a reward function and multiple cost functions are revealed, and the decision maker…

Machine Learning · Computer Science 2022-07-26 Jiashuo Jiang , Xiaocheng Li , Jiawei Zhang

Low-rank tensor decompositions (TDs) provide an effective framework for multiway data analysis. Traditional TD methods rely on predefined structural assumptions, such as CP or Tucker decompositions. From a probabilistic perspective, these…

Machine Learning · Computer Science 2025-06-30 Zhengyun Cheng , Changhao Wang , Guanwen Zhang , Yi Xu , Wei Zhou , Xiangyang Ji

Statistical analysis of network is an active research area and the literature counts a lot of papers concerned with network models and statistical analysis of networks. However, very few papers deal with missing data in network analysis and…

Statistics Theory · Mathematics 2020-10-21 Mahendra Mariadassou , Timothée Tabouy

In this article we propose a Weighted Stochastic Mesh (WSM) Algorithm for approximating the value of a discrete and continuous time optimal stopping problem. We prove that in the discrete case the WSM algorithm leads to semi-tractability of…

Computational Finance · Quantitative Finance 2019-06-25 D. Belomestny , M. Kaledin , J. Schoenmakers

We consider two-player stochastic games played on a finite state space for an infinite number of rounds. The games are concurrent: in each round, the two players (player 1 and player 2) choose their moves independently and simultaneously;…

Computer Science and Game Theory · Computer Science 2012-01-04 Krishnendu Chatterjee