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We show a new duality between the polynomial margin complexity of $f$ and the discrepancy of the function $f \circ \textsf{XOR}$, called an $\textsf{XOR}$ function. Using this duality, we develop polynomial based techniques for…

Computational Complexity · Computer Science 2017-04-11 Arkadev Chattopadhyay , Nikhil S. Mande

We study nondeterministic communication complexity and related concepts (fooling sets, fractional covering number) of random functions $f\colon X\times Y \to \{0,1\}$ where each value is chosen to be 1 independently with probability…

Discrete Mathematics · Computer Science 2016-12-05 Mozhgan Pourmoradnasseri , Dirk Oliver Theis

Results from the communication complexity literature have demonstrated that stable matching requires communication: one cannot find or verify a stable match without having access to essentially all of the ordinal preference information held…

Theoretical Economics · Economics 2022-12-09 Naveen Durvasula

So far, the theory of equilibrium selection in the infinitely repeated prisoner's dilemma is insensitive to communication possibilities. To address this issue, we incorporate the assumption that communication reduces -- but does not…

Theoretical Economics · Economics 2023-04-25 Maximilian Andres

We initiate the study of transaction fee mechanism design for blockchain protocols in which multiple block producers contribute to the production of each block. Our contributions include: - We propose an extensive-form (multi-stage) game…

Computer Science and Game Theory · Computer Science 2025-05-27 Pranav Garimidi , Lioba Heimbach , Tim Roughgarden

Approximate Competitive Equilibrium from Equal Incomes (A-CEEI) is an equilibrium-based solution concept for fair division of discrete items to agents with combinatorial demands. In theory, it is known that in asymptotically large markets:…

Computer Science and Game Theory · Computer Science 2023-06-01 Eric Budish , Ruiquan Gao , Abraham Othman , Aviad Rubinstein , Qianfan Zhang

We introduce a combinatorial variant of the cost sharing problem: several services can be provided to each player and each player values every combination of services differently. A publicly known cost function specifies the cost of…

Computer Science and Game Theory · Computer Science 2017-04-28 Shahar Dobzinski , Shahar Ovadia

Federated learning (FL) is a privacy-preserving learning technique that enables distributed computing devices to train shared learning models across data silos collaboratively. Existing FL works mostly focus on designing advanced FL…

Machine Learning · Computer Science 2023-02-20 Yash Travadi , Le Peng , Xuan Bi , Ju Sun , Mochen Yang

Equality and disjointness are two of the most studied problems in communication complexity. They have been studied for both classical and also quantum communication and for various models and modes of communication. Buhrman et al. [Buh98]…

Computational Complexity · Computer Science 2013-10-01 Jozef Gruska , Daowen Qiu , Shenggen Zheng

We present a linear program for the one-way version of the partition bound (denoted $\mathsf{prt}^1_\varepsilon(f)$). We show that it characterizes one-way randomized communication complexity $\mathsf{R}_\varepsilon^1(f)$ with shared…

Computational Complexity · Computer Science 2023-02-22 Srinivasan Arunachalam , João F. Doriguello , Rahul Jain

We consider a refinement to the notions of collusion-resistance in transaction fee mechanisms. In particular, we require that the collusion is by itself incentive-compatible and individually rational to all of its participants. We then…

Computer Science and Game Theory · Computer Science 2024-12-31 Matheus V. X. Ferreira , Yotam Gafni , Max Resnick

We consider leader election in clique networks, where $n$ nodes are connected by point-to-point communication links. For the synchronous clique under simultaneous wake-up, i.e., where all nodes start executing the algorithm in round $1$, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-27 Shay Kutten , Peter Robinson , Ming Ming Tan , Xianbin Zhu

In collaborative filtering (CF), interaction function (IFC) plays the important role of capturing interactions among items and users. The most popular IFC is the inner product, which has been successfully used in low-rank matrix…

Machine Learning · Computer Science 2020-04-07 Quanming Yao , Xiangning Chen , James Kwok , Yong Li , Cho-Jui Hsieh

We initiate the study of computing (near-)optimal contracts in succinctly representable principal-agent settings. Here optimality means maximizing the principal's expected payoff over all incentive-compatible contracts---known in economics…

Data Structures and Algorithms · Computer Science 2020-02-28 Paul Duetting , Tim Roughgarden , Inbal Talgam-Cohen

Federated learning promises significant sample-efficiency gains by pooling data across multiple agents, yet incentive misalignment is an obstacle: each update is costly to the contributor but boosts every participant. We introduce a…

Computer Science and Game Theory · Computer Science 2026-02-02 Ariel D. Procaccia , Han Shao , Itai Shapira

Federated learning (FL) is a promising distributed framework for collaborative artificial intelligence model training while protecting user privacy. A bootstrapping component that has attracted significant research attention is the design…

Artificial Intelligence · Computer Science 2022-07-26 Guangjing Huang , Xu Chen , Tao Ouyang , Qian Ma , Lin Chen , Junshan Zhang

Feature attribution methods have become essential for explaining machine learning models. Many popular approaches, such as SHAP and Banzhaf values, are grounded in power indices from cooperative game theory, which measure the contribution…

Machine Learning · Computer Science 2025-01-07 P. Barceló , R. Cominetti , M. Morgado

Probabilistic argumentation is an alternative to causal modeling with Bayesian networks. Probabilistic argumentation structures (PAS) are defined on families of compatible frames (f.c.f). This is a generalization of the usual multivariate…

Information Theory · Computer Science 2018-10-09 Juerg Kohlas

$\newcommand{\sp}{\mathsf{sparsity}}\newcommand{\s}{\mathsf{s}}\newcommand{\al}{\mathsf{alt}}$ The well-known Sensitivity Conjecture states that for any Boolean function $f$, block sensitivity of $f$ is at most polynomial in sensitivity of…

Computational Complexity · Computer Science 2019-02-12 Krishnamoorthy Dinesh , Jayalal Sarma

In high-stake domains such as healthcare and hiring, the role of machine learning (ML) in decision-making raises significant fairness concerns. This work focuses on Counterfactual Fairness (CF), which posits that an ML model's outcome on…

Machine Learning · Computer Science 2025-01-23 Zeyu Zhou , Tianci Liu , Ruqi Bai , Jing Gao , Murat Kocaoglu , David I. Inouye
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