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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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69137206274 · Jun 202019922001200920172026
48 results for consensus error

Bayesian consensus improves accuracy of forecasts from miscalibrated sources.

problem Aggregating predictions from miscalibrated and noisy sources.
method Bayesian approach to adjust for bias and noise, using hierarchical models.
result Bayesian consensus estimator is unbiased and more efficient than alternatives.

Paper analyzes convergence of decentralized algorithms with noise and bias.

problem Finite time convergence analysis of decentralized stochastic approximation schemes.
method Separated iterates into consensual parts and consensus error; bounded consensus error in terms of stationarity.
result Decentralized SA scheme converges at O(logT/T){\cal O}(\log T/ \sqrt{T} ) rate.

High-probability bound for distributed stochastic approximation tracking error.

problem Analyzing the convergence of distributed stochastic approximation schemes.
method Analysis using ODE approach to stochastic approximation.
result High probability bound for tracking error between iterates and limiting differential equation.

A new algorithm reduces communication in decentralized optimization.

problem Reducing communication in decentralized optimization problems.
method Adaptive randomized communication-efficient algorithmic framework that periodically tracks disagreement error and selects influential edges for communication.
result Strong theoretical convergence guarantees and performance quantification under standard assumptions.

LEAD algorithm speeds up decentralized optimization with compression.

problem Slow convergence and stability issues in decentralized optimization with compression.
method Proposes the first linearly convergent decentralized algorithm with compression.
result First consensus error bound for coupled dynamics of primal and dual updates.

Practitioners of Bayesian statistics have long depended on Markov chain Monte Carlo (MCMC) to obtain samples from intractable posterior distributions. Unfortunately, MCMC algorithms are typically serial, and do not scale to the large datasets typical of modern machine learning. The recently proposed consensus Monte Car…

2015-06-09abs ↗pdf ↗

Decentralized mechanism for collective predictions without sharing data or models.

problem Making predictions jointly among multiple parties without sharing data or models.
method Inspired by social science consensus-making, a decentralized mechanism for test-time collective predictions.
result Our mechanism converges to inverse meansquared-error weighting in the large-sample limit and achieves significant gains over classical model averaging.

We consider the problem of decentralized consensus optimization, where the sum of nn smooth and strongly convex functions are minimized over nn distributed agents that form a connected network. In particular, we consider the case that the communicated local decision variables among nodes are quantized in order to all…

2018-06-29abs ↗pdf ↗

Data privacy is an important concern in learning, when datasets contain sensitive information about individuals. This paper considers consensus-based distributed optimization under data privacy constraints. Consensus-based optimization consists of a set of computational nodes arranged in a graph, each having a local ob…

2019-03-19abs ↗pdf ↗

WISCA generates consensus explanations from conflicting model-agnostic interpretability methods.

problem Conflicting explanations from diverse interpretability algorithms.
method WISCA integrates class probability and normalized attributions to generate consistent explanations.
result WISCA consistently aligns with the most reliable individual method, improving explanation reliability.

A method for consensus prediction from probabilistic classifier outputs.

problem Combining probabilistic classifier outputs without prior information.
method Iteratively updating predictions based on classifier diversity and convergence.
result Consensus predictions converge to a decision based on classifier outputs' correspondence.

In distributed machine learning, where agents collaboratively learn from diverse private data sets, there is a fundamental tension between consensus and optimality. In this paper, we build on recent algorithmic progresses in distributed deep learning to explore various consensus-optimality trade-offs over a fixed commu…

2018-05-30abs ↗pdf ↗

CB-APM uses analyst consensus as a bottleneck to interpret stock returns.

problem Tackles the challenge of understanding and predicting stock returns using professional beliefs.
method Embeds analyst consensus as a structural bottleneck, treating it as a sufficient statistic for market information.
result CB-APM portfolios exhibit strong monotonic return gradients and robust across different economic conditions.

New model corrects bias in crowdsourced ratings for diverse items.

problem Bias and noise in crowdsourced ratings for training data.
method Bayesian rating model with item-level effects for difficulty, discriminativeness, and guessability.
result New model avoids bias in training data, improving model goodness of fit.

Paper proves PI consensus algorithm converges exponentially under restricted secant inequality.

problem Proving convergence of PI consensus algorithm without convexity.
method Lyapunov theory, restricted secant inequality, rate-matching discretization, local pre-conditioning.
result Exponential convergence of PI consensus algorithm for non-convex functions.

We use a cluster ensemble to determine the number of clusters, k, in a group of data. A consensus similarity matrix is formed from the ensemble using multiple algorithms and several values for k. A random walk is induced on the graph defined by the consensus matrix and the eigenvalues of the associated transition proba…

2014-08-05abs ↗pdf ↗

To devise efficient solutions for approximating a mean partition in consensus clustering, Dimitriadou et al. [3] presented a necessary condition of optimality for a consensus function based on least square distances. We show that their result is pivotal for deriving interesting properties of consensus clustering beyond…

2016-04-22abs ↗pdf ↗

Consensus clustering fuses diverse basic partitions (i.e., clustering results obtained from conventional clustering methods) into an integrated one, which has attracted increasing attention in both academic and industrial areas due to its robust and effective performance. Tremendous research efforts have been made to t…

2019-05-31abs ↗pdf ↗

We present here an introduction to Brainstorming approach, that was recently proposed as a consensus meta-learning technique, and used in several practical applications in bioinformatics and chemoinformatics. The consensus learning denotes heterogeneous theoretical classification method, where one trains an ensemble of…

2009-10-06abs ↗pdf ↗

A novel framework for consensus clustering is presented which has the ability to determine both the number of clusters and a final solution using multiple algorithms. A consensus similarity matrix is formed from an ensemble using multiple algorithms and several values for k. A variety of dimension reduction techniques …

2014-08-05abs ↗pdf ↗

IMPACC improves consensus clustering for bioinformatics data.

problem Consensus clustering's inefficiency and lack of interpretability for large-scale data.
method Ensemble minipatch co-occurrences, adaptive sampling of observations and features.
result Significantly improved accuracy and interpretability with substantial computational savings.

The distribution of price returns for a class of uncorrelated diffusive dynamics is considered. The basic assumptions are (1) that there is a "consensus" value associated with a stock, and (2) that the rate of diffusion depends on the deviation of the stock price from the consensus value. We find an analytical expressi…

2004-09-14abs ↗pdf ↗

Consensus dimension reduction combines multiple visualizations to identify shared patterns.

problem Conflicting visualizations from different dimension reduction methods.
method Multi-view learning to identify stable patterns across multiple views.
result Consensus visualization effectively identifies shared low-dimensional data structure.

The rapid adoption of machine learning has increased concerns about the privacy implications of machine learning models trained on sensitive data, such as medical records or other personal information. To address those concerns, one promising approach is Private Aggregation of Teacher Ensembles, or PATE, which transfer…

2018-02-24abs ↗pdf ↗

The present paper considers distributed consensus algorithms that involve N agents evolving on a connected compact homogeneous manifold. The agents track no external reference and communicate their relative state according to a communication graph. The consensus problem is formulated in terms of the extrema of a cost f…

2008-11-26abs ↗pdf ↗

Study on consensus formation in manifolds with curvature constraints.

problem Long-time behavior of solutions to nonlocal PDEs on Riemannian manifolds.
method Analytical and numerical methods applied to self-collective models.
result Sufficient conditions for consensus formation and convergence rates quantified.

Deep learning has demonstrated abilities to learn complex structures, but they can be restricted by available data. Recently, Consensus Networks (CNs) were proposed to alleviate data sparsity by utilizing features from multiple modalities, but they too have been limited by the size of labeled data. In this paper, we ex…

2018-05-23abs ↗pdf ↗

Suppose that multiple experts (or learning algorithms) provide us with alternative Bayesian network (BN) structures over a domain, and that we are interested in combining them into a single consensus BN structure. Specifically, we are interested in that the consensus BN structure only represents independences all the g…

2011-01-10abs ↗pdf ↗

A new framework for clustering high-dimensional data using vertical shards.

problem Clustering high-dimensional data with the curse of dimensionality.
method Vertical Consensus Inference (VCI) that splits data into vertical shards for posterior inference.
result VCI can approximate inference on random partitions for high-dimensional data.

This paper considers the problem of detection in distributed networks in the presence of data falsification (Byzantine) attacks. Detection approaches considered in the paper are based on fully distributed consensus algorithms, where all of the nodes exchange information only with their neighbors in the absence of a fus…

2015-04-14abs ↗pdf ↗

New voting strategies show committee-based consensus can scale efficiently.

problem Ensuring honest committees in committee-based consensus protocols.
method Empirical analysis of simpler voting strategies and their convergence to optimality.
result Simpler voting strategies converge to optimality exponentially quickly, ensuring robustness and efficiency.

Paper defines a new pseudometric for measuring consensus among subsets of relations.

problem Measuring consensus among subsets of relations.
method Introduces a new pseudometric and provides a concise restatement with a functor interpretation. Also, describes an algorithm to calculate the pseudometric bound efficiently.
result The pseudometric can be bounded without an expensive search of possible mappings, based solely on the dimensions of the relations.

This work presents a two-stage neural architecture for learning and refining structural correspondences between graphs. First, we use localized node embeddings computed by a graph neural network to obtain an initial ranking of soft correspondences between nodes. Secondly, we employ synchronous message passing networks …

2020-01-27abs ↗pdf ↗

New methods reveal consensus and dissensus in network partitions.

problem Degenerate community detection methods often yield multiple competing answers.
method Comprehensive set of methods to characterize and summarize complex populations of partitions.
result It is not possible to obtain a consistent answer from point estimates when the distribution is heterogeneous.

We consider grouping as a general characterization for problems such as clustering, community detection in networks, and multiple parametric model estimation. We are interested in merging solutions from different grouping algorithms, distilling all their good qualities into a consensus solution. In this paper, we propo…

2014-04-30abs ↗pdf ↗