Novel higher-order group synchronization for noisy local measurements on hypergraphs.
arXiv research
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Spectral methods achieve near-optimal performance in orthogonal and permutation group synchronization.
Study optimizes estimation of orthogonal and rotation matrices from noisy data.
New method uses neural networks for accurate angle estimation in noisy conditions.
Spectral method for joint community detection and group synchronization.
Efficiently estimates rotations with corrupted data.
Paper addresses group synchronization with incomplete measurements and proves linear convergence of GPM.
NS-RGS improves orthogonal group synchronization with faster convergence.
Novel method solves group synchronization with robust corruption tolerance.
We propose a general framework for solving the group synchronization problem, where we focus on the setting of adversarial or uniform corruption and sufficiently small noise. Specifically, we apply a novel message passing procedure that uses cycle consistency information in order to estimate the corruption levels of gr…
Paper proposes GPM for simultaneous community detection and group synchronization.
Extends angular synchronization to heterogeneous groups, improving accuracy in multiple applications.
Adapts pivoting technique to circle homeomorphisms for proofs.
DS-Sync improves distributed DNN training efficiency by 94% with minimal accuracy loss.
Various alignment problems arising in cryo-electron microscopy, community detection, time synchronization, computer vision, and other fields fall into a common framework of synchronization problems over compact groups such as Z/L, U(1), or SO(3). The goal of such problems is to estimate an unknown vector of group eleme…
In this paper, we show synchronization for a group of output passive agents that communicate with each other according to an underlying communication graph to achieve a common goal. We propose a distributed event-triggered control framework that will guarantee synchronization and considerably decrease the required comm…
Detects synchronized behavior in streaming data.
We consider the classic problem of establishing a statistical ranking of a set of n items given a set of inconsistent and incomplete pairwise comparisons between such items. Instantiations of this problem occur in numerous applications in data analysis (e.g., ranking teams in sports data), computer vision, and machine …
The sectoral synchronization observed for the Japanese business cycle in the Indices of Industrial Production data is an example of synchronization. The stability of this synchronization under a shock, e.g., fluctuation of supply or demand, is a matter of interest in physics and economics. We consider an economic syste…
We analyze how an observer synchronizes to the internal state of a finite-state information source, using the epsilon-machine causal representation. Here, we treat the case of exact synchronization, when it is possible for the observer to synchronize completely after a finite number of observations. The more difficult …
New algorithm improves PPS for multi-object matching.
New algorithm uses PSO to optimize DNN training parameters in distributed systems.
ShadowSync separates background synchronization for scalable distributed training.
In this work, we propose a hybrid approach to synchronize large scale networks. In particular, we draw on Kalman Filtering (KF) along with time-stamps generated by the Precision Time Protocol (PTP) for pairwise node synchronization. Furthermore, we investigate the merit of Factor Graphs (FGs) along with Belief Propagat…
New method synchronizes graphs with probability measures on rotations.
Study predicts synchronization state of financial time series using cross-recurrence plots.
This paper proposes a general model for synchronized crowding behavior. An order parameter is introduced to quantify the level of synchronization which is shown a function of percentage of agents in reactive state. Further, synchronization is shown to be driven by the most active agents with the highest volatility. A t…
We consider the problem of embedding unweighted, directed k-nearest neighbor graphs in low-dimensional Euclidean space. The k-nearest neighbors of each vertex provides ordinal information on the distances between points, but not the distances themselves. We use this ordinal information along with the low-dimensionality…
Solves complex clustering and rotation synchronization problem.
Study financial markets using synchronization measures and clustering algorithms.
Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networked systems has far reaching applications in many domains, including engineering and medicine. In this paper, we formulate the synchronization…
Machine learning predicts synchronization transitions in unknown systems.
New method linearizes nonlinear coupled oscillators on graphs.
New approach predicts stock price synchronization using RNNs and LSTMs.
Adaptive synchronization improves deep reinforcement learning performance.
KuramotoGNN uses Kuramoto model to prevent over-smoothing in graph neural networks.
New index improves anomaly detection in correlated time series data.
When banks choose similar investment strategies the financial system becomes vulnerable to common shocks. We model a simple financial system in which banks decide about their investment strategy based on a private belief about the state of the world and a social belief formed from observing the actions of peers. Observ…
The paper studies how noise synchronizes tokens in deep transformer models.
Paper presents a probabilistic framework for diffusion synchronization.
We extend a recent synchronization analysis of exact finite-state sources to nonexact sources for which synchronization occurs only asymptotically. Although the proof methods are quite different, the primary results remain the same. We find that an observer's average uncertainty in the source state vanishes exponential…
Researchers compare two GAN models for lip-synchronization tasks.
The bulk synchronous parallel (BSP) is a celebrated synchronization model for general-purpose parallel computing that has successfully been employed for distributed training of machine learning models. A prevalent shortcoming of the BSP is that it requires workers to wait for the straggler at every iteration. To amelio…
Existing multi-armed bandit (MAB) models make two implicit assumptions: an arm generates a payoff only when it is played, and the agent observes every payoff that is generated. This paper introduces synchronization bandits, a MAB variant where all arms generate costs at all times, but the agent observes an arm's instan…
We study the quantum synchronization between a pair of two-level systems inside two coupled cavities. By using a digital-analog decomposition of the master equation that rules the system dynamics, we show that this approach leads to quantum synchronization between both two-level systems. Moreover, we can identify in th…
Study on synchronization in financial markets with time delays.
The waiting time needed for a stock market index to undergo a given percentage change in its value is found to have an up-down asymmetry, which, surprisingly, is not observed for the individual stocks composing that index. To explain this, we introduce a market model consisting of randomly fluctuating stocks that occas…
We adapt tools from information theory to analyze how an observer comes to synchronize with the hidden states of a finitary, stationary stochastic process. We show that synchronization is determined by both the process's internal organization and by an observer's model of it. We analyze these components using the conve…