Item-item CF minimizes regret in online binary matrix completion.
problem Understanding why item-item CF works well in practice.
method Online binary matrix completion setup; item-item CF algorithm analysis.
result Item-item CF can achieve better performance than user-user CF.
Online algorithm for binary matrix completion with side information.
problem Matrix completion with side information for binary matrices.
method Online algorithm with mistake and regret bounds.
result Novel mistake and regret bounds of the form ildeO(D/γ2). This work establishes always-valid risk bounds for online matrix completion.
problem Challenges in establishing always-valid concentration inequalities for online matrix completion.
method Combines non-asymptotic martingale concentration and regularized low-rank matrix regression.
result Establishes always-valid risk bound process for online matrix completion.
New method predicts binary matrix entries using empirical Bayes and low-rank structure.
problem Predicting unobserved entries in binary matrices.
method Empirical Bayes method motivated by Efron--Morris estimator, exploiting low-rank structure.
result Superior performance in predictive accuracy, calibration, and efficiency compared to existing methods.
A novel BMC model with nonconvex regularizers and accelerated proximal algorithm for binary matrix completion.
problem Recovering a binary matrix from partial observed positive elements.
method Proposes a novel BMC model with nonconvex regularizers and accelerates proximal algorithm for solving the nonconvex optimization problem.
result The proposed model and algorithm outperform other methods in both synthetic and real-world data sets.
Develops a method to complete binary matrices using all types of observed entries.
problem Completing binary matrices from partial observations.
method Combines risks from Davenport et al. (2014) and Hsieh et al. (2015) to use all types of entries.
result Improves matrix completion performance by using all types of entries.
New model for high rank matrix completion with online and batch methods.
problem Matrix completion for high rank matrices with latent structure.
method Kernel trick to map data into a high dimensional feature space, explicit parametrization of low dimensional subspace, online fitting procedure.
result Online method can handle streaming data and adapt to non-stationary latent structure.
Open problem seeks an online learning algorithm for binary classification.
problem Existence of an online learning algorithm for binary classification with sublinear mistakes.
method Assumption of sequence allowing learning algorithm's existence.
result Specific condition determines sequence's learnability.
OptComplete efficiently completes matrices with side information, providing insights.
problem Matrix completion with interpretability for side information.
method Binary convex optimization reformulation and stochastic cutting planes.
result OptComplete outperforms state-of-the-art methods in scalability and accuracy.
Two binary matrix factorization methods using dictionary learning are proposed.
problem Efficiently factorizing binary matrices for various applications.
method Binary adaptation of dictionary learning for binary matrices, focusing on speed and scalability.
result Effective factorizations of various data types produced.
Efficient online matrix completion via non-convex SGD.
problem Online matrix completion with limited observations.
method Non-convex stochastic gradient descent (SGD) for dynamic updates.
result First provable, efficient online algorithm for matrix completion.
Paper proposes an efficient algorithm for nonnegative binary matrix factorization.
problem Decomposing binary data using matrix factorization.
method Majorization-minimization algorithm with Beta prior for improved performance.
result Proposed algorithm offers excellent trade-off between performance, complexity, and interpretability.
In this paper, we consider the matrix completion problem when the observations are one-bit measurements of some underlying matrix M, and in particular the observed samples consist only of ones and no zeros. This problem is motivated by modern applications such as recommender systems and social networks where only "like…
Study improves fractional posterior for 1-bit matrix completion.
problem Estimating a binary matrix from observed entries.
method Fractional posterior approach with low-rank factorization and spectral scaled Student priors.
result Concentration results for fractional posterior, demonstrating effectiveness in matrix recovery.
A new method for 1-bit matrix completion that is faster and more accurate.
problem Estimating a low-rank matrix from binary observations.
method Majorization-Minimization Gauss-Newton (MMGN) method.
result MMGN outperforms existing methods in accuracy and speed.
New algorithm optimizes complex metrics in online learning.
problem Optimizing non-decomposable metrics in sequential learning.
method General online algorithm for various metrics.
result Achieves O(nlnn) regret for concave and smooth metrics. Characterizes uncertainty in low-rank matrix completion with noisy data.
problem Uncertainty quantification in low-rank matrix completion with heterogeneous sub-exponential noise.
method Characterizes the distribution of estimated matrix entries under low-rank estimators with heterogeneous sub-exponential noise.
result Explicit formulas for the distribution of estimated matrix entries under Poisson and Binary noise.
New method learns decisions from collective preferences without individual covariates.
problem Making decisions online without individual covariates.
method Collaborative filtering, matrix completion bandit, ε-greedy policy, online gradient descent, inverse propensity weighting.
result Method outperforms benchmarks and reveals new discoveries.
New method for completing binary matrices using machine learning theory.
problem Completing binary matrices with low-rank structure.
method Variational approximation of pseudo-posterior with convex relaxation.
result PAC-Bayesian learning bounds on prediction error.
This work presents GROUSE (Grassmanian Rank-One Update Subspace Estimation), an efficient online algorithm for tracking subspaces from highly incomplete observations. GROUSE requires only basic linear algebraic manipulations at each iteration, and each subspace update can be performed in linear time in the dimension of…
New method predicts activity coefficients for binary mixtures without using physical descriptors.
problem Predicting activity coefficients for unexplored binary mixtures.
method Probabilistic matrix factorization model.
result Method outperforms state-of-the-art models requiring less training effort.
Faster matrix completion and extrapolation via kernel regression.
problem Matrix completion and extrapolation with prior information.
method Kernel ridge regression in reproducing kernel Hilbert spaces.
result Novel algorithm performs faster and reduces recovery error.
Networked sensing, where the goal is to perform complex inference using a large number of inexpensive and decentralized sensors, has become an increasingly attractive research topic due to its applications in wireless sensor networks and internet-of-things. To reduce the communication, sensing and storage complexity, t…
New method for online low-rank matrix completion with improved regret.
problem Designing an efficient algorithm for online recommendation systems with low regret.
method Explore-then-commit (ETC) approach and iterative user clustering (OCTAL) for rank-1 setting.
result Nearly optimal regret bounds for online low-rank matrix completion.
Noise-tolerant algorithm for online matrix completion with provable guarantees.
problem Recovering an incomplete matrix with online noisy columns.
method Adaptive sampling algorithms for bounded and sparse random noise models.
result Strong guarantees for matrix recovery with near-optimal sample complexity.
The paper proposes methods for predicting missing values in mixed data matrices.
problem Matrix completion for mixed data types (continuous, binary, ordinal).
method Generalized latent factor models for low-rank matrix estimation with entrywise consistency.
result Tight probabilistic error bounds for the proposed estimators.
Paper solves NP-hard haplotyping problem using matrix completion.
problem Reconstructing inherited genetic variations from DNA sequencing data.
method Binary matrix factorization and alternating minimization.
result The proposed technique achieves lower haplotype reconstruction error.
This work tackles collective matrix completion with multiple and heterogeneous data sources.
problem Reconstructing data from multiple heterogeneous matrices.
method Estimation based on minimizing goodness-of-fit and nuclear norm penalization of the whole collective matrix.
result Proposed estimators achieve fast rates of convergence under two settings.
This work studies two interrelated problems - online robust PCA (RPCA) and online low-rank matrix completion (MC). In recent work by Candès et al., RPCA has been defined as a problem of separating a low-rank matrix (true data), L:=[ℓ1,ℓ2,…ℓt,…,ℓtmax] and a sparse matrix (outliers…
Preconditioned SGD accelerates convergence for ill-conditioned huge-scale matrix completion.
problem Recovering a low-rank matrix from incomplete data with high condition number.
method Preconditioned Stochastic Gradient Descent (SGD) for huge-scale online optimization.
result Preconditioned SGD converges to ε-accuracy in O(log(1/ε)) iterations, compared to O(κlog(1/ε)) for unpreconditioned SGD.
New algorithm improves online binary classification with constant time complexity.
problem Online binary classification with rebalancing.
method Non-iteratively reweighted recursive least-squares.
result Exacts converges to batch formulation and outperforms existing algorithms.
New model predicts user ratings using chains of evidence.
problem Predicting user ratings from sparse data.
method Recursive evidence chains linking users and items.
result Competitive results in accuracy and speed.
Two efficient algorithms improve online item recommendation for large user-item matrices.
problem Low rank matrix completion in an online setting with noisy rewards.
method Phased algorithms extsc{PhasedClusterElim} and extsc{DeterminantElim} for item recommendation.
result Near-optimal per-user regret guarantees for item recommendation.
New method estimates missingness probabilities for MNAR matrix completion.
problem Bias in matrix completion due to missing not at random data.
method Estimate missingness probabilities using nuclear norm structure.
result Improved matrix completion accuracy without auxiliary information.
Unified framework for matrix completion from various data types and noise models.
problem Matrix completion with heterogeneous data types and noise models.
method Convex regularized M-estimator for exponential family distributions with general structural constraints.
result Unified statistical analysis for generalized matrix completion.
This paper introduces new methods to improve 1-bit matrix completion by considering cluster effects.
problem Improving 1-bit matrix completion for clustered data.
method Group-Specific 1-bit Matrix Completion (GS1MC) and Cluster Developing Matrix Completion (CDMC).
result GS1MC and CDMC outperform existing methods in synthetic and real-world data.
New binary approach for multiclass classification scales logarithmically with classes.
problem Efficient multiclass classification for large number of classes.
method Proves a boosting theorem and translates it into an algorithm.
result Exponential speed improvements for large number of classes.
A new method for Boolean matrix factorisation outperforms existing approaches.
problem Decomposing binary data matrices into meaningful patterns and quantifying their combinations.
method Probabilistic generative model with Metropolised Gibbs sampler for efficient posterior inference.
result The method outperforms all existing approaches on real and simulated data.
Improves matrix completion by exploiting biased observation patterns.
problem Matrix completion with biased observation patterns.
method Mask Nearest Neighbor (MNN) algorithm: two-stage process.
result MNN achieves competitive performance with 28x smaller mean squared error.
A new method fills missing labels in multi-label classification problems.
problem Missing feature and label values in multi-label classification.
method Proposes co-completion (COCO) algorithm based on subgradient descent.
result Demonstrates theoretical and practical effectiveness of COCO.
Study extends learnability equivalence to multi-class and regression, overcoming binary classification limits.
problem Equivalence of online and private learnability in multi-class and regression settings.
method Introduced a novel Littlestone dimension variant and threshold functions for multi-class classification.
result Online learnability implies private learnability in multi-class classification but not in regression.
New online learning algorithm combines PA and TER for binary classification.
problem Binary classification with non-separable data and data imbalance.
method Online Passive-Aggressive (PA) and Total-Error-Rate (TER) learning combined into PATER algorithm.
result PATER algorithms outperform existing online learning algorithms in efficiency and effectiveness.
GMBL uses graph embedding to learn binary codes from multiple views for clustering.
problem Lack of complete structure and complementary information from multiple views in single-view hash clustering methods.
method Graph-based Multi-view Binary Learning (GMBL) using Laplacian matrix to preserve data structure and assign weights to views.
result GMBL outperforms previous methods in clustering performance on multiple datasets.
Online BSP-Forest improves space partitioning for large-scale classification and regression.
problem Efficient space partitioning for large-scale classification and regression problems.
method Developed an online BSP-Forest framework that expands space coverage and refines partition structure in real-time.
result Guaranteed universal consistency for both classification and regression problems.
New method for fast processing of large matrices.
problem Efficiently processing very large datasets in both dimensions.
method Proposes a new factorization method that scales to terabyte-scale datasets.
result Significant speed-ups compared to state-of-the-art methods.
LNMC improves link prediction on social networks by considering log-normal degree distributions.
problem Link prediction in social networks with log-normal degree distributions.
method Log-Normal Matrix Completion (LNMC) using Alternating Direction Method of Multipliers.
result Up to 5% AUC increase over non-structured sparsity based methods.
We consider the problem of noisy 1-bit matrix completion under an exact rank constraint on the true underlying matrix M∗. Instead of observing a subset of the noisy continuous-valued entries of a matrix M∗, we observe a subset of noisy 1-bit (or binary) measurements generated according to a probabilistic model. W…
It is the main goal of this paper to propose a novel method to perform matrix completion on-line. Motivated by a wide variety of applications, ranging from the design of recommender systems to sensor network localization through seismic data reconstruction, we consider the matrix completion problem when entries of the …