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We develop a numerical method for the martingale analogue of the Benamou--Brenier optimal transport problem, which seeks a martingale interpolating two prescribed marginals which is closest to the Brownian motion. Recent contributions have…

Computational Finance · Quantitative Finance 2026-03-10 Manuel Hasenbichler , Benjamin Joseph , Gregoire Loeper , Jan Obloj , Gudmund Pammer

This paper studies adaptive algorithms for simultaneous regulation (i.e., control) and estimation (i.e., learning) of Multiple Input Multiple Output (MIMO) linear dynamical systems. It proposes practical, easy to implement control policies…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Influence Maximization (IM) is to identify the seed set to maximize information dissemination in a network. Elegant IM algorithms could naturally extend to cases where each node is equipped with a specific weight, reflecting individual…

Social and Information Networks · Computer Science 2024-12-11 Xinyan Su , Zhiheng Zhang , Jiyan Qiu

Invariant Causal Prediction (Peters et al., 2016) is a technique for out-of-distribution generalization which assumes that some aspects of the data distribution vary across the training set but that the underlying causal mechanisms remain…

Machine Learning · Computer Science 2021-03-30 Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

The motivation of this work is to illustrate the efficiency of some often overlooked alternatives to deal with optimization problems in systems and control. In particular, we will consider a problem for which an iterative linear matrix…

Optimization and Control · Mathematics 2011-07-05 Emile Simon , Vincent Wertz

This note proposes a procedure for enhancing the quality of probabilistic prediction algorithms via betting against their predictions. It is inspired by the success of the conformal test martingales that have been developed recently.

Machine Learning · Computer Science 2021-05-19 Vladimir Vovk

Influence Maximization (IM), which aims to select a set of users from a social network to maximize the expected number of influenced users, has recently received significant attention for mass communication and commercial marketing.…

Social and Information Networks · Computer Science 2022-05-12 Taotao Cai , Qi Lei , Quan Z. Sheng , Shuiqiao Yang , Jian Yang , Wei Emma Zhang

Influence maximization has been studied for social network analysis, such as viral marketing (advertising), rumor prevention, and opinion leader identification. However, most studies neglect the interplay between influence spread, cost…

Social and Information Networks · Computer Science 2025-09-10 Mingyang Feng , Qi Zhao , Shan He , Yuhui Shi

We consider scenarios where a very accurate (often small) predictive model using restricted features is available when training a full-featured (often larger) model. This restricted model may be thought of as side-information'', and can…

Machine Learning · Computer Science 2025-04-10 Usama Muneeb , Mesrob I. Ohannessian

We consider the problem of matrix completion on an $n \times m$ matrix. We introduce the problem of Interpretable Matrix Completion that aims to provide meaningful insights for the low-rank matrix using side information. We show that the…

Optimization and Control · Mathematics 2020-03-05 Dimitris Bertsimas , Michael Lingzhi Li

In a recent SIGMOD paper titled "Debunking the Myths of Influence Maximization: An In-Depth Benchmarking Study", Arora et al. [1] undertake a performance benchmarking study of several well-known algorithms for influence maximization. In the…

Social and Information Networks · Computer Science 2017-06-12 Wei Lu , Xiaokui Xiao , Amit Goyal , Keke Huang , Laks V. S. Lakshmanan

State-of-the-art methods for solving smooth optimization problems are nonlinear conjugate gradient, low memory BFGS, and Majorize-Minimize (MM) subspace algorithms. The MM subspace algorithm which has been introduced more recently has shown…

Optimization and Control · Mathematics 2016-08-24 Emilie Chouzenoux , Jean-Christophe Pesquet

We study martingale inequalities from an analytic point of view and show that a general martingale inequality can be reduced to a pair of deterministic inequalities in a small number of variables. More precisely, the optimal bound in the…

Probability · Mathematics 2014-10-21 Mathias Beiglböck , Marcel Nutz

Given its vast application on online social networks, Influence Maximization (IM) has garnered considerable attention over the last couple of decades. Due to the intricacy of IM, most current research concentrates on estimating the…

Social and Information Networks · Computer Science 2023-04-14 Zonghan Zhang , Zhiqian Chen

Bayesian reasoning in linear mixed-effects models (LMMs) is challenging and often requires advanced sampling techniques like Markov chain Monte Carlo (MCMC). A common approach is to write the model in a probabilistic programming language…

Machine Learning · Computer Science 2025-03-25 Jinlin Lai , Justin Domke , Daniel Sheldon

We consider two optimization problems in which a planner aims to influence the average transient opinion in the Friedkin-Johnsen dynamics on a network by intervening on the agents' innate opinions. Solving these problems requires full…

Physics and Society · Physics 2025-09-04 Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Asuman Ozdaglar , Francesca Parise

In this paper we consider a method of solving optimal stopping problems in discrete and continuous time based on their dual representation. A novel and generic simulation-based optimization algorithm not involving nested simulations is…

Probability · Mathematics 2013-09-10 Denis Belomestny

Multi-agent credit assignment is a fundamental challenge for cooperative multi-agent reinforcement learning (MARL), where a team of agents learn from shared reward signals. The Individual-Global-Max (IGM) condition is a widely used…

Machine Learning · Computer Science 2026-02-04 Wen-Tse Chen , Yuxuan Li , Shiyu Huang , Jiayu Chen , Jeff Schneider

We consider stochastic influence maximization problems arising in social networks. In contrast to existing studies that involve greedy approximation algorithms with a 63% performance guarantee, our work focuses on solving the problem…

Social and Information Networks · Computer Science 2020-06-02 Hao-Hsiang Wu , Simge Kucukyavuz

Variance components estimation and mixed model analysis are central themes in statistics with applications in numerous scientific disciplines. Despite the best efforts of generations of statisticians and numerical analysts, maximum…

Computation · Statistics 2015-09-25 Hua Zhou , Liuyi Hu , Jin Zhou , Kenneth Lange