Research
On-device research index

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.

168,742 papers · 148 categories

Trend · papers per month

4081121161 · Jun 202019922001200920172026
48 results for low-rank interaction

New model enhances SPIM for solving low-rank combinatorial optimization and statistical learning problems.

problem Solving large-scale combinatorial optimization problems efficiently.
method Proposed a new computing model for SPIM that can handle low-rank interaction matrices.
result Demonstrated efficient learning, classification, and sampling of MNIST images using the model.

Bayesian model improves image completion accuracy by automatically learning low rank structure.

problem Improving image completion accuracy with limited data and avoiding overfitting.
method Developed a Bayesian low rank tensor ring model with multiplicative interaction and Student-T distribution for sparse core factors.
result The proposed method outperforms state-of-the-art image completion techniques, especially in recovery accuracy.

Interactive learning with hindsight instruction feedback achieves better performance than traditional methods.

problem Learning with expert supervision of optimal responses is often impractical or requires expert knowledge.
method Study of interactive learning with hindsight instruction feedback, introducing LORIL algorithm.
result LORIL algorithm achieves T\sqrt{T} regret, improving over baselines in domains with low-rank instruction-response distribution.

The paper introduces a penalized matrix estimation procedure aiming at solutions which are sparse and low-rank at the same time. Such structures arise in the context of social networks or protein interactions where underlying graphs have adjacency matrices which are block-diagonal in the appropriate basis. We introduce…

2012-06-27abs ↗pdf ↗

Ising models describe the joint probability distribution of a vector of binary feature variables. Typically, not all the variables interact with each other and one is interested in learning the presumably sparse network structure of the interacting variables. However, in the presence of latent variables, the convention…

2019-01-28abs ↗pdf ↗

We consider the problem of unveiling the implicit network structure of node interactions (such as user interactions in a social network), based only on high-frequency timestamps. Our inference is based on the minimization of the least-squares loss associated with a multivariate Hawkes model, penalized by 1\ell_1 and t…

2015-01-04abs ↗pdf ↗

Recently, Factorization Machines (FM) has become more and more popular for recommendation systems, due to its effectiveness in finding informative interactions between features. Usually, the weights for the interactions is learnt as a low rank weight matrix, which is formulated as an inner product of two low rank matri…

2018-04-17abs ↗pdf ↗

A new method for decomposing non-negative tensors using energy-based modeling.

problem Challenges in traditional tensor decomposition methods, especially global optimization and rank selection.
method Energy-based modeling of tensors, considering interactions between modes for global optimization.
result Demonstrates effectiveness in tensor completion and approximation, revealing a relationship between many-body and low-rank approximations.

Paper introduces models to discover complex structures in large hypergraphs.

problem Understanding dependency structures in complex systems represented as hypergraphs.
method Probabilistic models treating classes of similar units as nodes in a latent hypergraph, using low-rank representations.
result Improves link prediction and discovers interpretable structures in diverse real-world systems.

We address the problem of estimating a sparse low-rank matrix from its noisy observation. We propose an objective function consisting of a data-fidelity term and two parameterized non-convex penalty functions. Further, we show how to set the parameters of the non-convex penalty functions, in order to ensure that the ob…

2016-04-29abs ↗pdf ↗

Tensor completion estimates missing components by exploiting the low-rank structure of multi-way data. The recently proposed methods based on tensor train (TT) and tensor ring (TR) show better performance in image recovery than classical ones. Compared with TT and TR, the projected entangled pair state (PEPS), which is…

2019-03-12abs ↗pdf ↗

Framework for joint inference of network topology and interaction types in heterogeneous systems.

problem Joint inference of network topology, multi-type interaction kernels, and latent type assignments in heterogeneous interacting particle systems.
method Three-stage approach: shared structure recovery, discrete interaction type identification, and matrix factorization.
result The method yields accurate reconstruction of underlying dynamics and is robust to noise.

Paper improves sample complexity for reward-free RL in low-rank MDPs.

problem Reward-free RL in low-rank MDPs with unknown representation and weights.
method Proposes a novel model-based algorithm RAFFLE with improved sample complexity.
result RAFFLE achieves εε-optimal policy and accurate system identification with significantly fewer samples.

The paper analyzes matrix completion with unlabeled implicit feedback and provides error bounds.

problem Matrix completion with shared low-rank ground truth and sampling distribution.
method Combining subspace recovery theory and matrix completion bounds.
result Error bounds showing contributions from estimating the sampling distribution and ground truth.

In this paper, we present a framework for fitting multivariate Hawkes processes for large-scale problems both in the number of events in the observed history nn and the number of event types dd (i.e. dimensions). The proposed Low-Rank Hawkes Process (LRHP) framework introduces a low-rank approximation of the kernel m…

2016-02-26abs ↗pdf ↗

In this paper, we propose a general framework for sparse and low-rank tensor estimation from cubic sketchings. A two-stage non-convex implementation is developed based on sparse tensor decomposition and thresholded gradient descent, which ensures exact recovery in the noiseless case and stable recovery in the noisy cas…

2018-01-29abs ↗pdf ↗

New algorithm recovers tensor factors from incomplete measurements efficiently.

problem Recovering tensor factors from incomplete measurements.
method Scaled gradient descent (ScaledGD) algorithm with spectral initializations.
result ScaledGD provably converges linearly for tensor completion and regression.

Unified framework for multi-source data analysis improves network structure identification.

problem High dimensionality and heterogeneity in large-scale network data.
method msLBM framework combining multiple data sources for simultaneous grouping and connectivity analysis.
result Statistically optimal rates achieved for consensus knowledge graph learning.

A new method reduces inference cost for FwFM by allowing it to scale with item fields only.

problem High computational cost in FwFM for large field counts.
method Low-rank diagonal plus symmetric decomposition for field-wise interactions.
result Aggressive rank reduction outperforms pruning in accuracy and speed.

Factorization machines (FM) are a popular model class to learn pairwise interactions by a low-rank approximation. Different from existing FM-based approaches which use a fixed rank for all features, this paper proposes a Rank-Aware FM (RaFM) model which adopts pairwise interactions from embeddings with different ranks.…

2019-05-18abs ↗pdf ↗

Framework for inferring latent structure from sparse, imperfectly detected bipartite networks.

problem Recovering latent structure from sparse, imperfectly detected bipartite networks in ecology.
method Structured sparse nonnegative low-rank factorization with detection probability estimation and ADMM-based algorithm.
result Improved recovery of latent factors and structure compared to existing methods.

A new EnKF method for elliptic PDEs reduces dimensionality for accurate state estimation.

problem Elliptic PDEs in fluid flows make traditional EnKF regularization ineffective.
method Low-rank factorization of the Kalman gain based on the Jacobian spectrum.
result Inference can be performed in a low-dimensional subspace of the state space.

New approach learns latent motifs in networks for mesoscale structure analysis.

problem Understanding large-scale behavior in complex systems through mesoscale structures.
method Network dictionary learning (NDL) combining network sampling and nonnegative matrix factorization.
result Networks can be approximated using a small set of latent motifs.

A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows joint estimation of certain non-linearities in the system, the direct interaction…

2017-05-09abs ↗pdf ↗

In this paper, we consider several compression techniques for the language modeling problem based on recurrent neural networks (RNNs). It is known that conventional RNNs, e.g, LSTM-based networks in language modeling, are characterized with either high space complexity or substantial inference time. This problem is esp…

2017-08-20abs ↗pdf ↗

Paper tackles efficient HMM learning with conditional samples.

problem Cryptographic hardness in learning HMMs from i.i.d. samples.
method Interactive access model, polynomial-time algorithms for conditional probabilities and latent low rank structures.
result Efficient algorithms for HMM learning in both exact and approximate conditional settings.

Transposable data represents interactions among two sets of entities, and are typically represented as a matrix containing the known interaction values. Additional side information may consist of feature vectors specific to entities corresponding to the rows and/or columns of such a matrix. Further information may also…

2014-04-27abs ↗pdf ↗

DCN-V2 improves deep & cross network for web-scale learning to rank systems.

problem Efficiently learning feature interactions in large-scale recommender systems.
method Proposes DCN-V2, an improved framework for deep & cross network learning.
result DCN-V2 outperforms state-of-the-art algorithms on benchmark datasets.

Designs efficient factorial experiments for product design under budget constraints.

problem Designing effective experiments for product design with limited traffic and overlapping experiments.
method Two-stage design: first stage samples and infers performance, second stage selects a final policy.
result The method outperforms one-shot tensor completion and unstructured best-arm benchmarks.

Low-rank modeling generally refers to a class of methods that solve problems by representing variables of interest as low-rank matrices. It has achieved great success in various fields including computer vision, data mining, signal processing and bioinformatics. Recently, much progress has been made in theories, algori…

2014-01-15abs ↗pdf ↗

SGD with mini-batches can solve convex low-rank matrix problems efficiently.

problem Solving large-scale convex low-rank matrix problems efficiently.
method Stochastic Gradient Descent with mini-batches and low-rank projections.
result SGD with mini-batches produces low-rank iterates with high probability.