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This work studies distributed learning in the spirit of Yao's model of communication complexity: consider a two-party setting, where each of the players gets a list of labelled examples and they communicate in order to jointly perform some…

Machine Learning · Computer Science 2018-04-24 Daniel M. Kane , Roi Livni , Shay Moran , Amir Yehudayoff

We consider the following communication problem: Alice and Bob each have some valuation functions $v_1(\cdot)$ and $v_2(\cdot)$ over subsets of $m$ items, and their goal is to partition the items into $S, \bar{S}$ in a way that maximizes…

Computer Science and Game Theory · Computer Science 2017-04-13 Mark Braverman , Jieming Mao , S. Matthew Weinberg

We consider an instance of the following problem: Parties P_1,..., P_k each receive an input x_i, and a coordinator (distinct from each of these parties) wishes to compute f(x_1,..., x_k) for some predicate f. We are interested in one-round…

Computational Complexity · Computer Science 2013-01-22 Daniel Apon , Jonathan Katz , Alex J. Malozemoff

We study a new type of separation between quantum and classical communication complexity which is obtained using quantum protocols where all parties are efficient, in the sense that they can be implemented by small quantum circuits with…

Quantum Physics · Physics 2019-11-07 Uma Girish , Ran Raz , Avishay Tal

Recently, various neural models for multi-party conversation (MPC) have achieved impressive improvements on a variety of tasks such as addressee recognition, speaker identification and response prediction. However, these existing methods on…

Computation and Language · Computer Science 2021-06-04 Jia-Chen Gu , Chongyang Tao , Zhen-Hua Ling , Can Xu , Xiubo Geng , Daxin Jiang

Quantum entanglement distillation protocols are LOCC protocols between Alice and Bob that convert imperfect EPR pairs, or, in general, partially entangled bipartite states into perfect or near-perfect EPR pairs. The classical communication…

Quantum Physics · Physics 2007-05-23 Andris Ambainis , Ke Yang

We study nondeterministic multiparty quantum communication with a quantum generalization of broadcasts. We show that, with number-in-hand classical inputs, the communication complexity of a Boolean function in this communication model…

Quantum Physics · Physics 2018-02-13 Harry Buhrman , Matthias Christandl , Jeroen Zuiddam

We address the problem of finding optimal strategies for computing Boolean symmetric functions. We consider a collocated network, where each node's transmissions can be heard by every other node. Each node has a Boolean measurement and we…

Information Theory · Computer Science 2009-11-18 Hemant Kowshik , P. R. Kumar

Stochastic local operations and classical communication (SLOCC), also called local filtering operations, are a convenient, useful set of quantum operations in grasping essential properties of entanglement. We give a quick overview about the…

Quantum Physics · Physics 2007-05-23 Akimasa Miyake

Multiparty session types are designed to abstractly capture the structure of communication protocols and verify behavioural properties. One important such property is progress, i.e., the absence of deadlock. Distributed algorithms often…

Logic in Computer Science · Computer Science 2024-02-14 Kirstin Peters , Uwe Nestmann , Christoph Wagner

We give improved separations for the query complexity analogue of the log-approximate-rank conjecture i.e. we show that there are a plethora of total Boolean functions on $n$ input bits, each of which has approximate Fourier sparsity at…

Computational Complexity · Computer Science 2020-09-08 Arkadev Chattopadhyay , Ankit Garg , Suhail Sherif

We show how to efficiently simulate the sending of a message M to a receiver who has partial information about the message, so that the expected number of bits communicated in the simulation is close to the amount of additional information…

Information Theory · Computer Science 2011-06-21 Mark Braverman , Anup Rao

We initiate the theory of communication complexity of individual inputs held by the agents, rather than worst-case or average-case. We consider total, partial, and partially correct protocols, one-way versus two-way, with and without help…

Computational Complexity · Computer Science 2007-05-23 Harry Buhrman , Hartmut Klauck , Nikolai Vereshchagin , Paul Vitanyi

We give an exponential separation between one-way quantum and classical communication protocols for a partial Boolean function (a variant of the Boolean Hidden Matching Problem of Bar-Yossef et al.) Earlier such an exponential separation…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky , Julia Kempe , Iordanis Kerenidis , Ran Raz , Ronald de Wolf

In federated learning (FL), a machine learning model is trained on multiple nodes in a decentralized manner, while keeping the data local and not shared with other nodes. However, FL requires the nodes to also send information on the model…

Machine Learning · Computer Science 2021-10-08 Mohammad Aghapour , Aidin Ferdowsi , Walid Saad

We show that for any Boolean function f on {0,1}^n, the bounded-error quantum communication complexity of XOR functions $f\circ \oplus$ satisfies that $Q_\epsilon(f\circ \oplus) = O(2^d (\log\|\hat f\|_{1,\epsilon} + \log…

Computational Complexity · Computer Science 2013-07-26 Shengyu Zhang

We use the venerable "fooling set" method to prove new lower bounds on the quantum communication complexity of various functions. Let f:X x Y-->{0,1} be a Boolean function, fool^1(f) its maximal fooling set size among 1-inputs, Q_1^*(f) its…

Quantum Physics · Physics 2012-09-26 Hartmut Klauck , Ronald de Wolf

We show that quantum entanglement can be used as a substitute for communication when the goal is to compute a function whose input data is distributed among remote parties. Specifically, we show that, for a particular function among three…

Quantum Physics · Physics 2009-10-30 Richard Cleve , Harry Buhrman

In the combinatorial-action contract model (D\"utting et al., FOCS'21) a principal delegates the execution of a complex project to an agent, who can choose any subset from a given set of actions. Each set of actions incurs a cost to the…

Computer Science and Game Theory · Computer Science 2025-11-27 Paul Dütting , Michal Feldman , Yoav Gal-Tzur , Aviad Rubinstein

The communication complexity of many fundamental problems reduces greatly when the communicating parties share randomness that is independent of the inputs to the communication task. Natural communication processes (say between humans)…

Computational Complexity · Computer Science 2024-01-24 Clément L. Canonne , Venkatesan Guruswami , Raghu Meka , Madhu Sudan