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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.

168,657 papers · 148 categories

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6491,2971,9462,594 · Jun 202019922001200920172026
48 results for Fixed Number of Communications

New analysis shows Local SGD can achieve error scaling with only fixed number of communications.

problem Speeding up SGD by parallelizing across multiple workers with reduced communication overhead.
method Proposed and analyzed Local SGD method with a fixed number of communications independent of the number of steps.
result Achieves an error scaling as 1/(nT) with only a fixed number of communications (Ω(n)).

New methods for federated learning reduce communication costs.

problem Efficiently solving optimization problems in a distributed setting.
method Developed two strategies for achieving consensus in federated learning: fixed number of local steps and randomized computations.
result Convergence analysis and experiments show benefits of the proposed methods.

We study the stochastic block model with two communities where vertices contain side information in the form of a vertex label. These vertex labels may have arbitrary label distributions, depending on the community memberships. We analyze a linearized version of the popular belief propagation algorithm. We show that th…

2018-06-20abs ↗pdf ↗

A novel beam training scheme optimizes multi-hop THz communications with up to 75% performance gain.

problem Optimizing beam training for multi-hop THz communications with high data rates and low time overhead.
method Developed a reinforcement learning-based hierarchical beam training scheme with dynamic training levels.
result The proposed scheme achieves up to 75% performance gain in spectral efficiency compared to conventional methods.

AdaQuantFL reduces communication in federated learning by adaptively quantizing model updates.

problem Efficient communication of model updates in federated learning with high-dimensional models and limited bandwidth.
method AdaQuantFL uses adaptive quantization to reduce the number of bits for model updates while maintaining low error floor.
result AdaQuantFL converges in fewer communicated bits compared to fixed quantization levels, with minimal impact on accuracy.

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical model for such networks (called dynamic networks). We consider the case where the …

2018-02-11abs ↗pdf ↗

New findings support a new community recovery threshold for Stochastic Block Model with many communities.

problem Recovering communities in Stochastic Block Model with more than sqrt(n) communities.
method Counting specific motifs to achieve polynomial-time community recovery above a new threshold.
result LDP fails below the new threshold, but polynomial-time recovery is possible above it.

We study distributed computing of the truncated singular value decomposition problem. We develop an algorithm that we call \texttt{LocalPower} for improving communication efficiency. Specifically, we uniformly partition the dataset among mm nodes and alternate between multiple (precisely pp) local power iterations an…

2020-02-19abs ↗pdf ↗

This paper combines three techniques to reduce communications in distributed variational inequalities.

problem Efficiently communicating solutions in large-scale distributed variational inequalities.
method Combining similarity, compression, and local steps to reduce communication rounds and cost.
result Best theoretical guarantees of communication complexity and superior performance in adversarial learning experiments.

SQuARM-SGD improves decentralized SGD efficiency with momentum.

problem Efficient decentralized training of large-scale models over networks.
method Fixed local SGD steps with Nesterov's momentum, sparsified and quantized updates, locally computed triggering criterion.
result Convergence rate matches vanilla SGD, momentum improves test performance.

Estimating the largest community in a mixed population via sequential sampling.

problem Identifying the largest community in a mixed population with limited sampling.
method Sequential, random sampling of individuals across multiple boxes, optimizing sampling strategy and decision rule.
result Proposed algorithms achieve optimal error probability decay rates under fixed budget constraints.

New algorithms for community detection in graphs with privacy constraints.

problem Community recovery in stochastic block models with node-wise privacy.
method Spectral clustering with privacy mechanisms, including privatized PCA, convex optimization, and matrix estimation.
result Developed algorithms that are computable in polynomial-time and achieve consistent community estimation under node differential privacy.

Community detection is a fundamental problem in network analysis with many methods available to estimate communities. Most of these methods assume that the number of communities is known, which is often not the case in practice. We study a simple and very fast method for estimating the number of communities based on th…

2015-07-03abs ↗pdf ↗

We propose a new \cu{class-optimal} algorithm for the distributed computation of Wasserstein Barycenters over networks. Assuming that each node in a graph has a probability distribution, we prove that every node can reach the barycenter of all distributions held in the network by using local interactions compliant with…

2018-03-08abs ↗pdf ↗

Sparse spectral decomposition identifies overlapping communities in networks.

problem Estimating overlapping community memberships in networks where nodes can belong to multiple communities.
method Sparse principal subspace estimation with iterative thresholding.
result The fixed point of the algorithm corresponds to correct node memberships under the stochastic block model.

ComEx protocol reduces communication costs in cooperative bandits.

problem Minimizing communication costs in cooperative bandits while maintaining optimal performance.
method Developed ComEx protocol to reduce communication from Θ(T)Θ(T) to O(logT)O(\log T) messages.
result Achieves state-of-the-art performance with significantly reduced communication cost.

This paper analyzes DeepWalk and node2vec for community detection in large networks.

problem Community detection in large, sparse networks.
method Low-dimensional network embedding algorithms (DeepWalk and node2vec) applied to random walk segments.
result The performance of DeepWalk and node2vec in recovering communities depends on the length of random walk segments and sparsity of the network.

A new MARL framework for community-based cooperation with transfer and active exploration.

problem Flexible coordination patterns in multi-agent systems with community structures.
method Community-based multi-agent reinforcement learning with transfer and active exploration.
result Provably convergent actor-critic algorithms for structured information sharing and transfer learning.

Method selects number of communities in weighted networks.

problem Selecting the number of communities in weighted networks.
method Proposes a novel weighted DCSBM and uses a sequential testing framework with spectral clustering and matrix scaling.
result Method is consistent in estimating the true number of communities under mild conditions.

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.

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted attention in many different fields, including computer science, statistics, social sci…

2018-08-26abs ↗pdf ↗

Research shows minimal communication limits adaptive function estimation rates.

problem Adaptive estimation of a smooth function under minimal communication constraints.
method Investigates the LL_\infty-risk and L2L_2-risk under different numbers of servers.
result For LL_\infty-risk, optimal rates cannot be achieved under minimal communication. For L2L_2-risk, adaptivity is possible but depends on server number and sample size.

Community recovery is a central problem that arises in a wide variety of applications such as network clustering, motion segmentation, face clustering and protein complex detection. The objective of the problem is to cluster data points into distinct communities based on a set of measurements, each of which is associat…

2017-09-12abs ↗pdf ↗

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 ↗

This work tackles asymmetric community estimation in multi-layer directed networks.

problem Estimating different numbers of sender and receiver communities in multi-layer directed networks.
method Proposes a goodness-of-fit test based on the largest singular value of an aggregated normalized residual matrix.
result Develops sequential and ratio-based testing procedures to consistently determine true sender and receiver community numbers.

GradSkip reduces local training steps for better communication efficiency.

problem High communication costs in distributed optimization.
method GradSkip redesigns ProxSkip to allow clients with less important data to take fewer local training steps.
result GradSkip converges linearly with reduced local training steps and same accelerated communication complexity.

Two new algorithms optimize decentralized convex optimization with reduced communication rounds.

problem Decentralized minimization of smooth strongly convex functions in a network.
method Proposes two new algorithms based on accelerated Forward Backward methods.
result First algorithm is optimal in terms of communication rounds and gradient computations.

Study exact community detection in k-community Gaussian mixtures with different intensities.

problem Community detection in k-community Gaussian mixtures with varying intensities.
method Explicitly find the threshold for exact recovery of maximum likelihood estimation.
result Threshold for exact recovery of maximum likelihood estimation is identified.