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Decision circuits have been developed to perform efficient evaluation of influence diagrams [Bhattacharjya and Shachter, 2007], building on the advances in arithmetic circuits for belief network inference [Darwiche,2003]. In the process of…

Artificial Intelligence · Computer Science 2012-06-18 Debarun Bhattacharjya , Ross D. Shachter

There has been great interest in enhancing the robustness of neural network classifiers to defend against adversarial perturbations through adversarial training, while balancing the trade-off between robust accuracy and standard accuracy.…

Machine Learning · Computer Science 2022-10-24 Chester Holtz , Tsui-Wei Weng , Gal Mishne

A number of complexity measures for Boolean functions have previously been introduced. These include (1) sensitivity, (2) block sensitivity, (3) witness complexity, (4) subcube partition complexity and (5) algorithmic complexity. Each of…

Probability · Mathematics 2024-08-26 Laurin Köhler-Schindler , Jeffrey E. Steif

Variational inequalities are a formalism that includes games, minimization, saddle point, and equilibrium problems as special cases. Methods for variational inequalities are therefore universal approaches for many applied tasks, including…

A distributed adaptive algorithm to estimate a time-varying signal, measured by a wireless sensor network, is designed and analyzed. One of the major features of the algorithm is that no central coordination among the nodes needs to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-10-22 Carlo Fischione , Alberto Speranzon , Karl H. Johansson , Alberto Sangiovanni-Vincentelli

We address a sequential decision problem that arises in the computation of symmetric Boolean functions of distributed data. We consider a collocated network, where each node's transmissions can be heard by every other node. Each node has a…

Information Theory · Computer Science 2010-05-03 Hemant Kowshik , P. R. Kumar

In the load balancing problem, each node in a network is assigned a load, and the goal is to equally distribute the loads among the nodes, by preforming local load exchanges. While load balancing was extensively studied in static networks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 Seth Gilbert , Uri Meir , Ami Paz , Gregory Schwartzman

Various real-life planning problems require making upfront decisions before all parameters of the problem have been disclosed. An important special case of such problem especially arises in scheduling and staff rostering problems, where a…

Data Structures and Algorithms · Computer Science 2017-03-20 David Adjiashvili , Viktor Bindewald , Dennis Michaels

We consider the problem of estimating the states of weakly coupled linear systems from sampled measurements. We assume that the total capacity available to the sensors to transmit their samples to a network manager in charge of the…

Systems and Control · Computer Science 2016-10-25 Xudong Chen , M. -A. Belabbas , Tamer Basar

We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance. Given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of…

Computational Complexity · Computer Science 2019-10-29 Trivikram Dokka , Marc Goerigk

Weighting estimators based on propensity scores are widely used for causal estimation in a variety of contexts, such as observational studies, marginal structural models and interference. They enjoy appealing theoretical properties such as…

Methodology · Statistics 2021-10-06 Linbo Wang , Yuexia Zhang , Thomas S. Richardson , Xiao-Hua Zhou

In this article we consider the problem of choosing an optimal sampling scheme for the regression problem simultaneously with that of model selection. We consider a batch type approach and an on-line approach following algorithms recently…

Statistics Theory · Mathematics 2018-01-30 Ana Karina Fermin , Carenne Ludeña

We address the problem of learning to assign prediction tasks to one agent from a set of available human or AI agents. In particular, we focus on the sequential learning of agent expertise and assignment policies where each agent is…

Human-Computer Interaction · Computer Science 2026-05-28 Shang Wu , Saatvik Kher , Padhraic Smyth

Mathematical Selection is a method in which we select a particular choice from a set of such. It have always been an interesting field of study for mathematicians. Accordingly, Combinatorial Optimization is a sub field of this domain of…

Computational Complexity · Computer Science 2023-06-29 Anurag Dutta , K. Lakshmanan , A. Ramamoorthy , Liton Chandra Voumik , John Harshith , John Pravin Motha

We derive a novel sensitivity analysis of input variables for predictive epistemic and aleatoric uncertainty. We use Bayesian neural networks with latent variables as a model class and illustrate the usefulness of our sensitivity analysis…

Machine Learning · Statistics 2017-12-12 Stefan Depeweg , José Miguel Hernández-Lobato , Steffen Udluft , Thomas Runkler

We give a method for proactively identifying small, plausible shifts in distribution which lead to large differences in model performance. These shifts are defined via parametric changes in the causal mechanisms of observed variables, where…

Machine Learning · Computer Science 2023-01-18 Nikolaj Thams , Michael Oberst , David Sontag

Multi-robot task allocation is a ubiquitous problem in robotics due to its applicability in a variety of scenarios. Adaptive task-allocation algorithms account for unknown disturbances and unpredicted phenomena in the environment where…

Robotics · Computer Science 2020-11-11 Yousef Emam , Gennaro Notomista , Paul Glotfelter , Magnus Egerstedt

We present an exact approach to analyze and quantify the sensitivity of higher moments of probabilistic loops with symbolic parameters, polynomial arithmetic and potentially uncountable state spaces. Our approach integrates methods from…

Programming Languages · Computer Science 2023-09-06 Marcel Moosbrugger , Julian Müllner , Laura Kovács

This work undertakes studies to evaluate Interpretability Methods for Time-Series Deep Learning. Sensitivity analysis assesses how input changes affect the output, constituting a key component of interpretation. Among the post-hoc…

Machine Learning · Computer Science 2024-01-31 Zhengguang Wang

Task allocation has been a well studied problem. In most prior problem formulations, it is assumed that each task is associated with a unique set of resource requirements. In the scope of multi-robot task allocation problem, these…

Artificial Intelligence · Computer Science 2020-07-03 Zakk Giacometti , Yu Zhang