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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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116232348464 · Jun 202019922001200920172026
48 results for communication bounds

In this paper, we study the information-theoretic limits of community detection in the symmetric two-community stochastic block model, with intra-community and inter-community edge probabilities an\frac{a}{n} and bn\frac{b}{n} respectively. We consider the sparse setting, in which aa and bb do not scale with nn, and…

2016-02-02abs ↗pdf ↗

Study on individual regret in cooperative MAB with agents communicating over a graph.

problem Individual regret in cooperative stochastic multi-armed bandits with communication constraints.
method Analyzed COOP-SE algorithm, derived individual regret bounds under various communication constraints.
result First to show an individual regret bound in cooperative stochastic MAB independent of graph diameter.

Paper studies signal detection in noisy environments with limited communication.

problem Signal detection in Gaussian noise with 1-bit communication constraints.
method Derives lower bounds and exhibits optimal testing strategies.
result Optimal distributed testing strategies attain the derived lower bound.

Paper studies fundamental limits of communication in distributed learning.

problem Communication efficiency in model aggregation for distributed learning.
method Rate-Distortion approach to model aggregation as a vector Gaussian CEO problem.
result Derives rate region bound and sum-rate-distortion function for model aggregation.

Distributed Thompson sampling improves regret convergence in constrained communication networks.

problem Maximizing a black-box function with multi-agent Bayesian optimization under communication constraints.
method Distributed Thompson sampling using Gaussian processes, with theoretical bounds on regret convergence.
result Theoretical bounds on Bayesian average and simple regret depend on communication graph structure and are applicable in constrained networks.

Study on efficient estimation of Gaussian mean with limited communication.

problem Estimating Gaussian mean under communication constraints.
method Decomposition into localization and refinement stages, development of communication-efficient and statistically optimal procedures.
result Established minimax rates of convergence and developed optimal procedures.

New estimator for overlapping community detection in graphs.

problem Reconstructing community relations in graphs with overlapping memberships.
method Proposes a new estimator for Mixed-Membership Stochastic Block Model (MMSB) under diverging spiked eigenvalues condition.
result New estimator matches theoretical minimax lower bound on estimation error.

The paper provides bounds on estimation error in a distributed online learning setting.

problem Estimating an unknown parameter in a distributed and online manner with finite sample guarantees.
method Proposes a distributed online estimation algorithm that improves accuracy through communication, providing non-asymptotic bounds on estimation error.
result Demonstrates a trade-off between estimation error and communication costs, and determines a stopping time for communication based on desired accuracy.

We prove a general connection between the communication complexity of two-player games and the sample complexity of their multi-player locally private analogues. We use this connection to prove sample complexity lower bounds for locally differentially private protocols as straightforward corollaries of results from com…

2019-07-01abs ↗pdf ↗

Study recovers community structure from coarse graph measurements.

problem Community recovery from low-resolution graph measurements.
method Formalized coarsening process of graph measurements, developed conditions for perfect recovery.
result Simple and closed-form asymptotic conditions for perfect recovery of coarse graph communities.

Improved algorithm reduces communication rounds for distributed online learning.

problem Complicated constraints in distributed online learning with locally light computations.
method Proposed D-BOCG algorithm with delayed update mechanism and redefined surrogate loss function.
result Achieved O(T3/4)O(T^{3/4}) regret bound with O(T)O(\sqrt{T}) communication rounds for convex losses.

We introduce the community exploration problem that has many real-world applications such as online advertising. In the problem, an explorer allocates limited budget to explore communities so as to maximize the number of members he could meet. We provide a systematic study of the community exploration problem, from off…

2018-11-13abs ↗pdf ↗

Study information limits for community detection in sub-hypergraphs.

problem Identify limits for exact community detection in sub-hypergraphs.
method Use Fano's inequality to define model parameters and identify success and failure regions.
result Identify regions where algorithms succeed or fail in exact recovery.

We introduce the concept of community trees that summarizes topological structures within a network. A community tree is a tree structure representing clique communities from the clique percolation method (CPM). The community tree also generates a persistent diagram. Community trees and persistent diagrams reveal topol…

2017-10-11abs ↗pdf ↗

Efficient algorithm for CLSBM reduces misclassification rate.

problem Reducing misclassification in community detection for CLSBM.
method Spectral-based algorithm for CLSBM, with theoretical misclassification bounds.
result Upper bound on misclassification rate of efficient algorithm.

Study how communication and feedback graphs affect learning outcomes.

problem Understanding the impact of feedback graphs on cooperative online learning.
method Analyzed network regret in terms of the independence number of the strong product of communication and feedback graphs.
result Proved bounds for network regret and demonstrated the non-improvable nature of positive results in pathological cases.

We study distributed estimation methods under communication constraints in a distributed version of the nonparametric random design regression model. We derive minimax lower bounds and exhibit methods that attain those bounds. Moreover, we show that adaptive estimation is possible in this setting.

2018-04-03abs ↗pdf ↗

Paper proposes GPM for simultaneous community detection and group synchronization.

problem Simultaneous community detection and group synchronization in networks.
method Generalized Power Method (GPM) for non-convex optimization.
result GPM achieves exact recovery in O(nlog2n)O(n\log^2n) time, outperforming SDP.

The study sets criteria for efficient communication in distributed online learning.

problem Achieving optimal learning performance while minimizing communication in distributed online learning.
method Formal criteria based on the intuition that in the worst case, every input is essential for learning performance and must be exchanged.
result The criteria hold for a simplified version of a previously published protocol, providing a communication bound that scales with the serialized prediction problem's hardness.

New framework for distributed nonparametric estimation under slow communication.

problem Efficiently estimate nonparametric models across multiple nodes with limited communication.
method Developed a general framework for nonparametric estimation under communication constraints.
result Derived minimax lower and upper bounds for various models.

New algorithm reduces regret in collaborative multi-agent bandit problems.

problem Optimizing decisions in a network of agents with communication delays.
method Follow-the-Regularized-Leader (FTRL) algorithm with suitable regularizers and communication protocols.
result Upper bound on individual regret matches lower bound up to a constant factor.

We propose an efficient protocol for decentralized training of deep neural networks from distributed data sources. The proposed protocol allows to handle different phases of model training equally well and to quickly adapt to concept drifts. This leads to a reduction of communication by an order of magnitude compared t…

2018-07-09abs ↗pdf ↗

The paper analyzes generalization of noisy iterative algorithms using communication theory.

problem Generalization of models trained by noisy iterative algorithms under different distributions.
method Connecting noisy iterative algorithms to additive noise channels in communication theory.
result Distribution-dependent generalization bounds for noisy iterative algorithms.

A new test optimizes detecting small communities in large networks.

problem Detecting small communities in large networks.
method Using Sinkhorn's theorem and a degree-corrected block model (DCBM), the study optimizes the SgnQ test for this challenging setting.
result The SgnQ test is optimal for detecting communities larger than √n, achieving the computational lower bound (CLB).

New uncertainty principle limits compression in distributed learning, suggesting optimal methods.

problem Minimizing communication cost while maintaining message quality in distributed learning.
method Formalized uncertainty principle for compression operators, introduced Kashin compression.
result Explicit formula for Kashin compression's variance bound, dimension independent.

This paper studies the problem of nonparametric estimation of a smooth function with data distributed across multiple machines. We assume an independent sample from a white noise model is collected at each machine, and an estimator of the underlying true function needs to be constructed at a central machine. We place l…

2018-03-04abs ↗pdf ↗

A distributed algorithm reduces communication cost in linear bandits to near-optimal levels.

problem Cooperative linear bandit optimization with stochastic contexts.
method DisBE-LUCB algorithm, DecBE-LUCB algorithm, sharing information through a central server or immediate neighbors.
result Communication cost of DisBE-LUCB matches information-theoretic lower bound up to logarithmic factors.

In this paper, we present two new communication-efficient methods for distributed minimization of an average of functions. The first algorithm is an inexact variant of the DANE algorithm that allows any local algorithm to return an approximate solution to a local subproblem. We show that such a strategy does not affect…

2016-08-24abs ↗pdf ↗

This study analyzes communication constraints in MoE architectures using information theory.

problem Communication constraints in Mixture-of-Experts (MoE) architectures.
method Developed a rate-distortion characterization of finite-rate gating in MoE architectures using information theory.
result Yielded capacity-aware limits for communication-constrained MoE systems.

We consider the problem of estimating community memberships of nodes in a network, where every node is associated with a vector determining its degree of membership in each community. Existing provably consistent algorithms often require strong assumptions about the population, are computationally expensive, and only p…

2017-09-01abs ↗pdf ↗

Study shows more frequent communication in FL reduces model's generalization power.

problem Understanding how often clients should communicate with a server in federated learning.
method PAC-Bayes and rate-distortion theoretic bounds on generalization error.
result More frequent communication with the server decreases model's generalization power.

Semidefinite programs have recently been developed for the problem of community detection, which may be viewed as a special case of the stochastic blockmodel. Here, we develop a semidefinite program that can be tailored to other instances of the blockmodel, such as non-assortative networks and overlapping communities. …

2016-11-16abs ↗pdf ↗

This paper sets communication complexity bounds for distributed RL.

problem Establishing minimum communication requirements for distributed RL.
method Information-theoretic lower bounds and algorithm development.
result Developed algorithms achieving optimal risk up to logarithmic factors.

Optimizes learning policies in MDPs with weakly communicating structure.

problem Learning optimal policies in weakly communicating MDPs with generative model.
method Span-based approach, reducing to discounted MDPs for analysis.
result First minimax optimal sample complexity bound for weakly communicating MDPs.

New model for clustering dependent community Hawkes processes in temporal networks.

problem Modeling strong dependence and community structure in temporal networks.
method Dependent Community Hawkes (DCH) models combining stochastic block models and Hawkes processes.
result Spectral clustering error bound derived for DCH models.

Online algorithm detects community structure in dynamic event streams.

problem Community detection in networks with temporal event streams.
method Continuous-time point process latent network models with fast online variational inference.
result Online inference achieves comparable community recovery to non-online methods but with computational gains.