Search Results for author: Mostafa Rahmani

Found 22 papers, 0 papers with code

Automated Data Denoising for Recommendation

no code implementations11 May 2023 Yingqiang Ge, Mostafa Rahmani, Athirai Irissappane, Jose Sepulveda, James Caverlee, Fei Wang

In real-world scenarios, most platforms collect both large-scale, naturally noisy implicit feedback and small-scale yet highly relevant explicit feedback.

Denoising Recommendation Systems

Robust Projection based Anomaly Extraction (RPE) in Univariate Time-Series

no code implementations31 May 2022 Mostafa Rahmani, Anoop Deoras, Laurent Callot

This paper presents a novel, closed-form, and data/computation efficient online anomaly detection algorithm for time-series data.

Anomaly Detection Time Series +1

Provable Clustering of a Union of Linear Manifolds Using Optimal Directions

no code implementations8 Jan 2022 Mostafa Rahmani

A novel theoretical study is presented which sheds light on the key performance factors of both algorithms (MFC/iPursuit) and it is shown that both algorithms can be robust to notable intersections between the span of clusters.

Clustering

Non-Local Feature Aggregation on Graphs via Latent Fixed Data Structures

no code implementations16 Aug 2021 Mostafa Rahmani, Rasoul Shafipour, Ping Li

The proposed approach is used to design several novel global feature aggregation methods based on the choice of the LFDS.

Provable Data Clustering via Innovation Search

no code implementations16 Aug 2021 Weiwei Li, Mostafa Rahmani, Ping Li

It is shown that in contrast to most of the existing methods which require the subspaces to be sufficiently incoherent with each other, Innovation Pursuit only requires the innovative components of the subspaces to be sufficiently incoherent with each other.

Clustering

Closed-Form, Provable, and Robust PCA via Leverage Statistics and Innovation Search

no code implementations23 Jun 2021 Mostafa Rahmani, Ping Li

In the application of Innovation Search for outlier detection, the directions of innovation were utilized to measure the innovation of the data points.

Clustering Outlier Detection

Outlier Detection and Data Clustering via Innovation Search

no code implementations30 Dec 2019 Mostafa Rahmani, Ping Li

In this paper, we present a new discovery that the directions of innovation can be used to design a provable and strong robust (to outlier) PCA method.

Clustering Outlier Detection

Graph Analysis and Graph Pooling in the Spatial Domain

no code implementations3 Oct 2019 Mostafa Rahmani, Ping Li

The proposed approach leverages a spatial representation of the graph which makes the neural network aware of the differences between the nodes and also their locations in the graph.

Graph Embedding

DEEP GEOMETRICAL GRAPH CLASSIFICATION

no code implementations ICLR 2019 Mostafa Rahmani, Ping Li

In the second step, the GNN is applied to the point-cloud representation of the graph provided by the embedding method.

Clustering General Classification +3

Scalable and Robust Community Detection with Randomized Sketching

no code implementations25 May 2018 Mostafa Rahmani, Andre Beckus, Adel Karimian, George Atia

Uniform random node sampling is shown to improve the computational complexity over clustering of the full graph when the cluster sizes are balanced.

Clustering Community Detection +3

Data Dropout in Arbitrary Basis for Deep Network Regularization

no code implementations4 Dec 2017 Mostafa Rahmani, George Atia

An important problem in training deep networks with high capacity is to ensure that the trained network works well when presented with new inputs outside the training dataset.

Innovation Pursuit: A New Approach to the Subspace Clustering Problem

no code implementations ICML 2017 Mostafa Rahmani, George Atia

Remarkably, the proposed approach can provably yield exact clustering even when the subspaces have significant intersections.

Clustering

Coherence Pursuit: Fast, Simple, and Robust Subspace Recovery

no code implementations ICML 2017 Mostafa Rahmani, George Atia

To the best of our knowledge, this is the first provable robust PCA algorithm that is simultaneously non-iterative, can tolerate a large number of outliers and is robust to linearly dependent outliers.

Subspace Clustering via Optimal Direction Search

no code implementations12 Jun 2017 Mostafa Rahmani, George Atia

This letter presents a new spectral-clustering-based approach to the subspace clustering problem.

Clustering Face Clustering

Spatial Random Sampling: A Structure-Preserving Data Sketching Tool

no code implementations9 May 2017 Mostafa Rahmani, George Atia

Random column sampling is not guaranteed to yield data sketches that preserve the underlying structures of the data and may not sample sufficiently from less-populated data clusters.

Descriptive

Low Rank Matrix Recovery with Simultaneous Presence of Outliers and Sparse Corruption

no code implementations7 Feb 2017 Mostafa Rahmani, George Atia

Our approach hinges on the sparse approximation of a sparsely corrupted column so that the sparse expansion of a column with respect to the other data points is used to distinguish a sparsely corrupted inlier column from an outlying data point.

Robust and Scalable Column/Row Sampling from Corrupted Big Data

no code implementations18 Nov 2016 Mostafa Rahmani, George Atia

Conventional sampling techniques fall short of drawing descriptive sketches of the data when the data is grossly corrupted as such corruptions break the low rank structure required for them to perform satisfactorily.

Descriptive

Coherence Pursuit: Fast, Simple, and Robust Principal Component Analysis

no code implementations15 Sep 2016 Mostafa Rahmani, George Atia

As inliers lie in a low dimensional subspace and are mostly correlated, an inlier is likely to have strong mutual coherence with a large number of data points.

Innovation Pursuit: A New Approach to Subspace Clustering

no code implementations2 Dec 2015 Mostafa Rahmani, George Atia

This paper presents a new approach dubbed Innovation Pursuit (iPursuit) to the problem of subspace clustering using a new geometrical idea whereby subspaces are identified based on their relative novelties.

Clustering Face Clustering

Randomized Robust Subspace Recovery for High Dimensional Data Matrices

no code implementations21 May 2015 Mostafa Rahmani, George Atia

This paper explores and analyzes two randomized designs for robust Principal Component Analysis (PCA) employing low-dimensional data sketching.

Vocal Bursts Intensity Prediction

High Dimensional Low Rank plus Sparse Matrix Decomposition

no code implementations1 Feb 2015 Mostafa Rahmani, George Atia

In this paper, a scalable subspace-pursuit approach that transforms the decomposition problem to a subspace learning problem is proposed.

Clustering Small Data Image Classification +1

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