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We give an efficient algorithm for learning a binary function in a given class C of bounded VC dimension, with training data distributed according to P and test data according to Q, where P and Q may be arbitrary distributions over X. This…

机器学习 · 计算机科学 2021-02-17 Adam Kalai , Varun Kanade

In this paper, we consider the problem of distributed reachable set computation for multi-agent systems (MASs) interacting over an undirected, stationary graph. A full state-feedback control input for such MASs depends no only on the…

系统与控制 · 电气工程与系统科学 2024-10-11 Omanshu Thapliyal , Shanelle Clarke , Inseok Hwang

Probabilistic timed automata are a suitable formalism to model systems with real-time, nondeterministic and probabilistic behaviour. We study two-player zero-sum games on such automata where the objective of the game is specified as the…

计算机科学中的逻辑 · 计算机科学 2016-04-18 Vojtěch Forejt , Marta Kwiatkowska , Gethin Norman , Ashutosh Trivedi

We study the problems of sequential nonparametric two-sample and independence testing. Sequential tests process data online and allow using observed data to decide whether to stop and reject the null hypothesis or to collect more data,…

机器学习 · 统计学 2023-07-21 Aleksandr Podkopaev , Aaditya Ramdas

A network of locally interacting agents can be thought of as performing a distributed computation. But not all computations can be faithfully distributed. This paper investigates which global, linear transformations can be computed using…

最优化与控制 · 数学 2013-11-26 Zak Costello , Magnus Egerstedt

This paper considers a game-theoretic formulation of the covert communications problem with finite blocklength, where the transmitter (Alice) can randomly vary her transmit power in different blocks, while the warden (Willie) can randomly…

信息论 · 计算机科学 2020-05-28 Alex S. Leong , Daniel E. Quevedo , Subhrakanti Dey

We establish optimal Statistical Query (SQ) lower bounds for robustly learning certain families of discrete high-dimensional distributions. In particular, we show that no efficient SQ algorithm with access to an $\epsilon$-corrupted binary…

数据结构与算法 · 计算机科学 2022-06-10 Ilias Diakonikolas , Daniel M. Kane , Yuxin Sun

The paper introduces a new approach to theory of differential games in which entangled players try to predict and influence actions of their adversaries. The entanglement is generated be a joint probability density known by the players.…

综合物理 · 物理学 2012-09-03 Michail Zak

Motivated by real-world machine learning applications, we analyze approximations to the non-asymptotic fundamental limits of statistical classification. In the binary version of this problem, given two training sequences generated according…

信息论 · 计算机科学 2018-12-07 Lin Zhou , Vincent Y. F. Tan , Mehul Motani

An uncertain database is defined as a relational database in which primary keys need not be satisfied. A repair (or possible world) of such database is obtained by selecting a maximal number of tuples without ever selecting two distinct…

数据库 · 计算机科学 2013-01-08 Jef Wijsen

In physics we often use very simple models to describe systems with many degrees of freedom, but it is not clear why or how this success can be transferred to the more complex biological context. We consider models for the joint…

神经元与认知 · 定量生物学 2024-12-06 Luisa Ramirez , William Bialek , Stephanie E. Palmer , David J. Schwab

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

机器学习 · 计算机科学 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf

We study the problem of testing whether an unknown $n$-variable Boolean function is a $k$-junta in the distribution-free property testing model, where the distance between functions is measured with respect to an arbitrary and unknown…

计算复杂性 · 计算机科学 2018-02-15 Xi Chen , Zhengyang Liu , Rocco A. Servedio , Ying Sheng , Jinyu Xie

In this paper, we derive copula-based and empirical dependency models (DMs) for simulating non-independent variables, and then propose a new way for determining the distribution of the model outputs conditional on every subset of inputs.…

统计理论 · 数学 2022-09-12 Matieyendou Lamboni

Probabilistic dependency graphs (PDGs) are a flexible class of probabilistic graphical models, subsuming Bayesian Networks and Factor Graphs. They can also capture inconsistent beliefs, and provide a way of measuring the degree of this…

数据结构与算法 · 计算机科学 2023-11-10 Oliver E. Richardson , Joseph Y. Halpern , Christopher De Sa

We study distributed computation in synchronous dynamic networks where an omniscient adversary controls the unidirectional communication links. Its behavior is modeled as a sequence of directed graphs representing the active (i.e. timely)…

分布式、并行与集群计算 · 计算机科学 2015-03-20 Martin Biely , Peter Robinson , Ulrich Schmid

We study the classic divide-and-choose method for equitably allocating divisible goods between two players who are rational, self-interested Bayesian agents. The players have additive values for the goods. The prior distributions on those…

计算机科学与博弈论 · 计算机科学 2024-10-22 Jamie Tucker-Foltz , Richard Zeckhauser

As statistical analyses become more central to science, industry and society, there is a growing need to ensure correctness of their results. Approximate correctness can be verified by replicating the entire analysis, but can we verify…

计算复杂性 · 计算机科学 2024-09-11 Tal Herman , Guy Rothblum

We study control of constrained linear systems with only partial statistical information about the uncertainty affecting the system dynamics and the sensor measurements. Specifically, given a finite collection of disturbance realizations…

Entanglement swapping, the process to entangle two particles without coupling them in any way, is one of the most striking manifestations of the quantum-mechanical nonlocal characteristic. Besides fundamental interest, this process has…