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48 results for Multiple Local Updates

Recently, the technique of local updates is a powerful tool in centralized settings to improve communication efficiency via periodical communication. For decentralized settings, it is still unclear how to efficiently combine local updates and decentralized communication. In this work, we propose an algorithm named as L…

2019-10-21abs ↗pdf ↗

The thesis clarifies when local updates outperform centralized methods in heterogeneous data environments.

problem Understanding when local updates are more effective than centralized or mini-batch methods in distributed optimization.
method Fine-grained consensus-error-based analysis framework, focusing on bounded second-order heterogeneity and third-order smoothness.
result Local updates outperform centralized or mini-batch methods under realistic models of data heterogeneity.

New framework provides privacy guarantees for practical federated learning.

problem Inadequate privacy guarantees for federated learning due to restrictive assumptions.
method Fed-α\alpha-NormEC, integrating multiple local updates, partial client participation, and standard assumptions.
result Provably convergent and differentially private federated learning framework.

FedCluster accelerates federated learning convergence by cycling device groups.

problem Federated learning convergence issues with device-level data heterogeneity.
method FedCluster groups devices into clusters that cycle through learning rounds, boosting convergence with meta-updates.
result FedCluster achieves faster convergence in nonconvex optimization compared to FedAvg.

A framework for collaborative learning reduces communication rounds.

problem Collaborative learning with distributed features and privacy concerns.
method Federated Stochastic Block Coordinate Descent (FedBCD) algorithm.
result The algorithm achieves O(T)O(\sqrt{T}) communication rounds and O(1/T)O(1/\sqrt{T}) accuracy.

FedSGM tackles constrained federated learning with unified framework.

problem Functional constraints, communication bottlenecks, local updates, and partial client participation in federated learning.
method Unified framework based on switching gradient method, incorporating bi-directional error feedback, and soft switching for stability.
result Achieves O(1/T)\boldsymbol{\mathcal{O}}(1/\sqrt{T}) convergence rate with high-probability bounds decoupling from sampling noise.

Federated learning can be vulnerable to adversarial attacks, which this work addresses.

problem Federated learning's adversarial vulnerability when deployed.
method Bias-Variance decomposition for federated learning, proposing Fed_BVA framework.
result Fed_BVA framework generates adversarial examples to improve robustness.

Federated learning is a recently proposed paradigm that enables multiple clients to collaboratively train a joint model. It allows clients to train models locally, and leverages the parameter server to generate a global model by aggregating the locally submitted gradient updates at each round. Although the incentive mo…

2019-11-28abs ↗pdf ↗

Regression problems that have closed-form solutions are well understood and can be easily implemented when the dataset is small enough to be all loaded into the RAM. Challenges arise when data is too big to be stored in RAM to compute the closed form solutions. Many techniques were proposed to overcome or alleviate the…

2019-03-03abs ↗pdf ↗

FedGLOMO accelerates FL convergence for non-convex functions.

problem Efficiently solving non-convex optimization problems in federated learning with client heterogeneity.
method Combines global and local momentum updates to reduce variance and improve convergence rate.
result Achieves O(ε1.5)\mathcal{O}(ε^{-1.5}) convergence to εε-stationary point, compared to O(ε2)\mathcal{O}(ε^{-2}).

New algorithm provably converges to second-order stationary points in NMF.

problem Understanding convergence to local minima in NMF.
method Multiplicative weight update dynamics, concurrent updates, and simplex reduction.
result Provable convergence to second-order stationary points.

Paper proves multiplicative weight updates can train neural networks without learning rate tuning.

problem Vanishing and exploding gradients in gradient descent for compositional functions.
method Proves descent lemma for compositional functions using multiplicative weight updates and derives Madam optimizer.
result Madam optimizer trains state-of-the-art neural networks without learning rate tuning.

A new method for distributed optimization reduces communication rounds without minibatches.

problem Efficient training in distributed machine learning with different data distributions.
method A primal-dual method (GA-MSGD) applied to the Lagrangian of distributed optimization.
result Achieves linear convergence in communication rounds for strongly convex objectives.

Existing nonnegative matrix factorization methods focus on learning global structure of the data to construct basis and coefficient matrices, which ignores the local structure that commonly exists among data. In this paper, we propose a new type of nonnegative matrix factorization method, which learns local similarity …

2019-07-09abs ↗pdf ↗

The (stochastic) gradient descent and the multiplicative update method are probably the most popular algorithms in machine learning. We introduce and study a new regularization which provides a unification of the additive and multiplicative updates. This regularization is derived from an hyperbolic analogue of the entr…

2019-02-05abs ↗pdf ↗

Biological neural network mimics CCA for multi-channel data.

problem Implementing CCA in a biologically plausible neural network.
method Derive an online CCA algorithm with local synaptic updates for multi-compartmental neurons.
result The derived neural network architecture and synaptic updates resemble cortical pyramidal neuron behavior.

In this letter, we generalize the convolutional NMF by taking the ββ-divergence as the contrast function and present the correct multiplicative updates for its factors in closed form. The new updates unify the ββ-NMF and the convolutional NMF. We state why almost all of the existing updates are inexact and approximat…

2018-03-14abs ↗pdf ↗

Framework for safely updating machine learning models.

problem Continuous updates to machine learning models can lead to unintended consequences.
method Formalizes the problem as computing the largest locally invariant domain (LID), uses tractable primal-dual formulation.
result Matches or exceeds heuristic baselines for avoiding forgetting while providing formal safety guarantees.

In this paper, we extend the ββ-CNMF to two dimensions and derive exact multiplicative updates for its factors. The new updates generalize and correct the nonnegative matrix factor deconvolution previously proposed by Schmidt and Mørup. We show by simulation that the updates lead to a monotonically decreasing ββ-dive…

2018-11-05abs ↗pdf ↗

LDP-Fed protects privacy in federated learning with neural networks.

problem Privacy protection for high-dimensional, continuous model parameters in federated learning.
method Local Differential Privacy (LDP) for repeated collection of model training parameters, selection and filtering of parameter updates.
result LDP-Fed achieves model accuracy comparable to non-private methods while preserving privacy.

Study investigates FL performance over a noisy downlink, showing analog approach outperforms digital.

problem Impact of bandwidth-limited downlink on federated learning performance.
method Modelled downlink and uplink channels; proposed digital and analog downlink approaches; analyzed convergence behavior.
result Analog downlink approach provides significant improvement over digital approach, especially with biased data distribution.

Local adaptive methods in FL can accelerate convergence but introduce bias, which is corrected.

problem The effect of using adaptive optimization methods for local updates in federated learning.
method Proposed correction techniques to overcome the bias introduced by local adaptive methods.
result Correction techniques can achieve faster convergence and higher test accuracy than baseline methods.

FedShuffle improves local updates in FL, especially with data imbalance.

problem Data imbalance in FL leads to different clients performing different numbers of local updates.
method FedShuffle incorporates random reshuffling, data imbalance, and client sampling.
result FedShuffle improves upon FL methods that assume homogeneous updates in heterogeneous setups.

Paper analyzes ensemble Kalman updates for effective dimension and localization.

problem Why small ensemble sizes work well in inverse problems and data assimilation.
method Non-asymptotic analysis of ensemble Kalman updates, focusing on effective dimension and localization.
result Rigorously explains why a small ensemble size is sufficient when prior covariance has moderate effective dimension.

The study examines how market completeness is lost when filtering down the information set.

problem Loss of market completeness under filtration shrinkage.
method Bayesian filtering approach to analyze local martingale deflators and their projections.
result Projections of deflators in smaller filtrations are not sufficient to span all local martingale deflators.

Local update methods' performance depends on learning rates, affecting convergence rates and alignment with true loss.

problem The performance of local update methods in federated learning and meta-learning is sensitive to learning rates.
method Proved that local update methods perform SGD on a surrogate loss function, characterized the surrogate loss, and derived convergence rates.
result Proper learning rate tuning is crucial for near-optimal behavior in communication-limited settings.

EGMU optimizes portfolios using KL divergence, ensuring positive solutions.

problem Constructing multi-factor target-exposure portfolios efficiently and accurately.
method Convex optimization framework minimizing KL divergence, with explicit solvers.
result Established feasibility and uniqueness of strictly positive solutions under convex-hull conditions.

We investigate a classification problem using multiple mobile agents capable of collecting (partial) pose-dependent observations of an unknown environment. The objective is to classify an image over a finite time horizon. We propose a network architecture on how agents should form a local belief, take local actions, an…

2019-05-13abs ↗pdf ↗

FedSARSA converges with heterogeneous agents, achieving linear speed-up.

problem Convergence analysis of Federated SARSA with heterogeneous agents.
method Linear function approximation, local training, multi-step error expansion.
result FedSARSA achieves linear speed-up with respect to the number of agents.

Unified analysis for decentralized SGD across various topologies and updates.

problem Analysis of decentralized SGD methods with changing topologies and local updates.
method Unified convergence analysis covering local SGD updates and adaptive network topology.
result Universal convergence rates for smooth problems, interpolating between heterogeneous and iid-data settings.

Developed efficient distributed logistic regression for large datasets.

problem Communication inefficiency and sparsity issues in distributed training of large-scale models.
method Iterative local optimization of a surrogate likelihood to improve initial solutions, handling sparsity and diverging updates.
result Learned a communication-efficient distributed logistic regression model for millions of features.

Distributed optimization often consists of two updating phases: local optimization and inter-node communication. Conventional approaches require working nodes to communicate with the server every one or few iterations to guarantee convergence. In this paper, we establish a completely different conclusion that each node…

2019-06-14abs ↗pdf ↗

Online learning makes sequence of decisions with partial data arrival where next movement of data is unknown. In this paper, we have presented a new technique as multiple times weight updating that update the weight iteratively forsame instance. The proposed technique analyzed with popular state-of-art algorithms from …

2018-10-26abs ↗pdf ↗

Optimal client sampling reduces communication in federated learning.

problem Efficiently aggregate model updates from distributed clients in federated learning.
method Model weights as an Ornstein-Uhlenbeck process to estimate uncommunicated updates; optimal client sampling strategy.
result Significant reduction in communication with competitive or superior performance.

The paper introduces MU for NMF with ββ-divergences and disjoint constraints.

problem Nonnegative matrix factorization with constraints.
method Design multiplicative updates for NMF based on ββ-divergences with disjoint constraints.
result Multiplicative updates satisfy constraints and decrease the objective function.