Search Results for author: Rene Vidal

Found 49 papers, 8 papers with code

Semantic-aware Video Representation for Few-shot Action Recognition

no code implementations10 Nov 2023 Yutao Tang, Benjamin Bejar, Rene Vidal

In this work, we propose a simple yet effective Semantic-Aware Few-Shot Action Recognition (SAFSAR) model to address these issues.

Few-Shot action recognition Few Shot Action Recognition

Clustering-based Domain-Incremental Learning

no code implementations21 Sep 2023 Christiaan Lamers, Rene Vidal, Nabil Belbachir, Niki van Stein, Thomas Baeck, Paris Giampouras

A key challenge in this setting is the so-called "catastrophic forgetting problem", in which the performance of the learner in an "old task" decreases when subsequently trained on a "new task".

Clustering Continual Learning +2

Variational Information Pursuit with Large Language and Multimodal Models for Interpretable Predictions

no code implementations24 Aug 2023 Kwan Ho Ryan Chan, Aditya Chattopadhyay, Benjamin David Haeffele, Rene Vidal

Variational Information Pursuit (V-IP) is a framework for making interpretable predictions by design by sequentially selecting a short chain of task-relevant, user-defined and interpretable queries about the data that are most informative for the task.

Semantic Similarity Semantic Textual Similarity

Efficient Vision Transformer for Human Pose Estimation via Patch Selection

no code implementations7 Jun 2023 Kaleab A. Kinfu, Rene Vidal

While Convolutional Neural Networks (CNNs) have been widely successful in 2D human pose estimation, Vision Transformers (ViTs) have emerged as a promising alternative to CNNs, boosting state-of-the-art performance.

2D Human Pose Estimation 2D Pose Estimation +1

Learning Globally Smooth Functions on Manifolds

no code implementations1 Oct 2022 Juan Cervino, Luiz F. O. Chamon, Benjamin D. Haeffele, Rene Vidal, Alejandro Ribeiro

To do so, it shows that under typical conditions the problem of learning a Lipschitz continuous function on a manifold is equivalent to a dynamically weighted manifold regularization problem.

Interpretable by Design: Learning Predictors by Composing Interpretable Queries

1 code implementation3 Jul 2022 Aditya Chattopadhyay, Stewart Slocum, Benjamin D. Haeffele, Rene Vidal, Donald Geman

There is a growing concern about typically opaque decision-making with high-performance machine learning algorithms.

Decision Making

The Vision of Self-Evolving Computing Systems

no code implementations14 Apr 2022 Danny Weyns, Thomas Baeck, Rene Vidal, Xin Yao, Ahmed Nabil Belbachir

We motivate the need for self-evolving computing systems in light of the state of the art, outline a conceptual architecture of self-evolving computing systems, and illustrate the architecture for a future smart city mobility system that needs to evolve continuously with changing conditions.

Structured Graph Variational Autoencoders for Indoor Furniture layout Generation

no code implementations11 Apr 2022 Aditya Chattopadhyay, Xi Zhang, David Paul Wipf, Himanshu Arora, Rene Vidal

The architecture consists of a graph encoder that maps the input graph to a structured latent space, and a graph decoder that generates a furniture graph, given a latent code and the room graph.

Attention: Self-Expression Is All You Need

no code implementations29 Sep 2021 Rene Vidal

Much of their success is attributed to the use of attention layers that capture long-range interactions among data tokens (such as words and image patches) via attention coefficients that are global and adapted to the input data at test time.

Clustering

Implicit Bias of Projected Subgradient Method Gives Provable Robust Recovery of Subspaces of Unknown Codimension

no code implementations ICLR 2022 Paris Giampouras, Benjamin David Haeffele, Rene Vidal

In particular, we show that 1) all of the problem instances will converge to a vector in the null space of the subspace and 2) the ensemble of problem instance solutions will be sufficiently diverse to fully span the null space of the subspace (and thus reveal the true codimension of the subspace) even when the true subspace dimension is unknown.

Representation Learning

Convergence and Implicit Bias of Gradient Flow on Overparametrized Linear Networks

no code implementations13 May 2021 Hancheng Min, Salma Tarmoun, Rene Vidal, Enrique Mallada

Firstly, we show that the squared loss converges exponentially to its optimum at a rate that depends on the level of imbalance and the margin of the initialization.

Implicit Acceleration of Gradient Flow in Overparameterized Linear Models

no code implementations1 Jan 2021 Salma Tarmoun, Guilherme França, Benjamin David Haeffele, Rene Vidal

More precisely, gradient flow preserves the difference of the Gramian~matrices of the input and output weights and we show that the amount of acceleration depends on both the magnitude of that difference (which is fixed at initialization) and the spectrum of the data.

Quantifying Task Complexity Through Generalized Information Measures

no code implementations1 Jan 2021 Aditya Chattopadhyay, Benjamin David Haeffele, Donald Geman, Rene Vidal

In this paper, we propose to measure the complexity of a learning task by the minimum expected number of questions that need to be answered to solve the task.

Classification General Classification +1

On the Explicit Role of Initialization on the Convergence and Generalization Properties of Overparametrized Linear Networks

no code implementations1 Jan 2021 Hancheng Min, Salma Tarmoun, Rene Vidal, Enrique Mallada

In this paper, we present a novel analysis of overparametrized single-hidden layer linear networks, which formally connects initialization, optimization, and overparametrization with generalization performance.

Self-Representation Based Unsupervised Exemplar Selection in a Union of Subspaces

no code implementations7 Jun 2020 Chong You, Chi Li, Daniel P. Robinson, Rene Vidal

When the dataset is drawn from a union of independent subspaces, our method is able to select sufficiently many representatives from each subspace.

Clustering

Is an Affine Constraint Needed for Affine Subspace Clustering?

no code implementations ICCV 2019 Chong You, Chun-Guang Li, Daniel P. Robinson, Rene Vidal

Specifically, our analysis provides conditions that guarantee the correctness of affine subspace clustering methods both with and without the affine constraint, and shows that these conditions are satisfied for high-dimensional data.

Clustering Face Clustering +1

Basis Pursuit and Orthogonal Matching Pursuit for Subspace-preserving Recovery: Theoretical Analysis

no code implementations30 Dec 2019 Daniel P. Robinson, Rene Vidal, Chong You

The goal is to have the representation $c$ correctly identify the subspace, i. e. the nonzero entries of $c$ should correspond to columns of $A$ that are in the subspace $\mathcal{S}_0$.

What is the Largest Sparsity Pattern that Can Be Recovered by 1-Norm Minimization?

no code implementations12 Oct 2019 Mustafa D. Kaba, Mengnan Zhao, Rene Vidal, Daniel P. Robinson, Enrique Mallada

In the case of the partial discrete Fourier transform, our characterization of the largest sparsity pattern that can be recovered requires the unknown signal to be real and its dimension to be a prime number.

Dual Principal Component Pursuit: Probability Analysis and Efficient Algorithms

no code implementations24 Dec 2018 Zhihui Zhu, Yifan Wang, Daniel P. Robinson, Daniel Q. Naiman, Rene Vidal, Manolis C. Tsakiris

However, its geometric analysis is based on quantities that are difficult to interpret and are not amenable to statistical analysis.

Dual Principal Component Pursuit: Improved Analysis and Efficient Algorithms

no code implementations NeurIPS 2018 Zhihui Zhu, Yifan Wang, Daniel Robinson, Daniel Naiman, Rene Vidal, Manolis Tsakiris

However, its geometric analysis is based on quantities that are difficult to interpret and are not amenable to statistical analysis.

Nonconvex Robust Low-rank Matrix Recovery

no code implementations24 Sep 2018 Xiao Li, Zhihui Zhu, Anthony Man-Cho So, Rene Vidal

In this paper we study the problem of recovering a low-rank matrix from a number of random linear measurements that are corrupted by outliers taking arbitrary values.

Information Theory Information Theory

Scalable Exemplar-based Subspace Clustering on Class-Imbalanced Data

no code implementations ECCV 2018 Chong You, Chi Li, Daniel P. Robinson, Rene Vidal

Our experiments demonstrate that the proposed method outperforms state-of-the-art subspace clustering methods in two large-scale image datasets that are imbalanced.

Clustering Image Classification

ADMM and Accelerated ADMM as Continuous Dynamical Systems

no code implementations ICML 2018 Guilherme Franca, Daniel Robinson, Rene Vidal

Recently, there has been an increasing interest in using tools from dynamical systems to analyze the behavior of simple optimization algorithms such as gradient descent and accelerated variants.

On the Implicit Bias of Dropout

no code implementations ICML 2018 Poorya Mianjy, Raman Arora, Rene Vidal

Algorithmic approaches endow deep learning systems with implicit bias that helps them generalize even in over-parametrized settings.

A Mixed Classification-Regression Framework for 3D Pose Estimation from 2D Images

1 code implementation8 May 2018 Siddharth Mahendran, Haider Ali, Rene Vidal

Since 3D pose is a continuous quantity, a natural formulation for this task is to solve a pose regression problem.

3D Pose Estimation Autonomous Driving +4

Theoretical Analysis of Sparse Subspace Clustering with Missing Entries

no code implementations ICML 2018 Manolis C. Tsakiris, Rene Vidal

The main insight that stems from our analysis is that even though the projection induces additional missing entries, this is counterbalanced by the fact that the projected and zero-filled data are in effect incomplete points associated with the union of the corresponding projected subspaces, with respect to which the point being expressed is complete.

Clustering

Mathematics of Deep Learning

no code implementations13 Dec 2017 Rene Vidal, Joan Bruna, Raja Giryes, Stefano Soatto

Recently there has been a dramatic increase in the performance of recognition systems due to the introduction of deep architectures for representation learning and classification.

General Classification Representation Learning

Stretching Domain Adaptation: How far is too far?

no code implementations6 Dec 2017 Yunhan Zhao, Haider Ali, Rene Vidal

This work pushes the limit of unsupervised domain adaptation through an in-depth evaluation of several state of the art methods on benchmark datasets and the new dataset suite.

Unsupervised Domain Adaptation

Convolutional Networks for Object Category and 3D Pose Estimation from 2D Images

no code implementations20 Nov 2017 Siddharth Mahendran, Haider Ali, Rene Vidal

In this paper, we relax one of these constraints and propose to solve the task of joint object category and 3D pose estimation from an image assuming known 2D localization.

3D Pose Estimation Object +1

Dropout as a Low-Rank Regularizer for Matrix Factorization

no code implementations13 Oct 2017 Jacopo Cavazza, Pietro Morerio, Benjamin Haeffele, Connor Lane, Vittorio Murino, Rene Vidal

Regularization for matrix factorization (MF) and approximation problems has been carried out in many different ways.

Structured Low-Rank Matrix Factorization: Global Optimality, Algorithms, and Applications

no code implementations25 Aug 2017 Benjamin D. Haeffele, Rene Vidal

Recently, convex formulations of low-rank matrix factorization problems have received considerable attention in machine learning.

Video Segmentation Video Semantic Segmentation

3D Pose Regression using Convolutional Neural Networks

no code implementations18 Aug 2017 Siddharth Mahendran, Haider Ali, Rene Vidal

3D pose estimation is a key component of many important computer vision tasks such as autonomous navigation and 3D scene understanding.

3D Pose Estimation Autonomous Navigation +4

Global Optimality in Neural Network Training

no code implementations CVPR 2017 Benjamin D. Haeffele, Rene Vidal

The past few years have seen a dramatic increase in the performance of recognition systems thanks to the introduction of deep networks for representation learning.

Representation Learning

Hyperplane Clustering Via Dual Principal Component Pursuit

no code implementations ICML 2017 Manolis C. Tsakiris, Rene Vidal

A thorough experimental evaluation reveals that hyperplane learning schemes based on DPCP dramatically improve over the state-of-the-art methods for the case of synthetic data, while are competitive to the state-of-the-art in the case of 3D plane clustering for Kinect data.

Clustering

Curriculum Dropout

2 code implementations ICCV 2017 Pietro Morerio, Jacopo Cavazza, Riccardo Volpi, Rene Vidal, Vittorio Murino

This induces an adaptive regularization scheme that smoothly increases the difficulty of the optimization problem.

Image Classification Scheduling

Information Pursuit: A Bayesian Framework for Sequential Scene Parsing

no code implementations9 Jan 2017 Ehsan Jahangiri, Erdem Yoruk, Rene Vidal, Laurent Younes, Donald Geman

Despite enormous progress in object detection and classification, the problem of incorporating expected contextual relationships among object instances into modern recognition systems remains a key challenge.

object-detection Object Detection +1

Temporal Convolutional Networks: A Unified Approach to Action Segmentation

1 code implementation29 Aug 2016 Colin Lea, Rene Vidal, Austin Reiter, Gregory D. Hager

The dominant paradigm for video-based action segmentation is composed of two steps: first, for each frame, compute low-level features using Dense Trajectories or a Convolutional Neural Network that encode spatiotemporal information locally, and second, input these features into a classifier that captures high-level temporal relationships, such as a Recurrent Neural Network (RNN).

Action Segmentation Segmentation

Oracle Based Active Set Algorithm for Scalable Elastic Net Subspace Clustering

1 code implementation CVPR 2016 Chong You, Chun-Guang Li, Daniel P. Robinson, Rene Vidal

Our geometric analysis also provides a theoretical justification and a geometric interpretation for the balance between the connectedness (due to $\ell_2$ regularization) and subspace-preserving (due to $\ell_1$ regularization) properties for elastic net subspace clustering.

Ranked #7 on Image Clustering on coil-100 (Accuracy metric)

Clustering Image Clustering

Segmental Spatiotemporal CNNs for Fine-grained Action Segmentation

no code implementations9 Feb 2016 Colin Lea, Austin Reiter, Rene Vidal, Gregory D. Hager

We propose a model for action segmentation which combines low-level spatiotemporal features with a high-level segmental classifier.

Action Classification Action Segmentation +4

Dual Principal Component Pursuit

no code implementations15 Oct 2015 Manolis C. Tsakiris, Rene Vidal

We consider the problem of learning a linear subspace from data corrupted by outliers.

Filtrated Spectral Algebraic Subspace Clustering

no code implementations15 Oct 2015 Manolis C. Tsakiris, Rene Vidal

Algebraic Subspace Clustering (ASC) is a simple and elegant method based on polynomial fitting and differentiation for clustering noiseless data drawn from an arbitrary union of subspaces.

Clustering

Algebraic Clustering of Affine Subspaces

no code implementations22 Sep 2015 Manolis C. Tsakiris, Rene Vidal

Using notions from algebraic geometry, we prove that the homogenization trick, which embeds points in a union of affine subspaces into points in a union of linear subspaces, preserves the general position of the points and the transversality of the union of subspaces in the embedded space, thus establishing the correctness of ASC for affine subpaces.

Clustering Position

Scalable Sparse Subspace Clustering by Orthogonal Matching Pursuit

2 code implementations CVPR 2016 Chong You, Daniel P. Robinson, Rene Vidal

Subspace clustering methods based on $\ell_1$, $\ell_2$ or nuclear norm regularization have become very popular due to their simplicity, theoretical guarantees and empirical success.

Clustering Face Clustering

Global Optimality in Tensor Factorization, Deep Learning, and Beyond

no code implementations24 Jun 2015 Benjamin D. Haeffele, Rene Vidal

Techniques involving factorization are found in a wide range of applications and have enjoyed significant empirical success in many fields.

Filtrated Algebraic Subspace Clustering

no code implementations20 Jun 2015 Manolis C. Tsakiris, Rene Vidal

In the abstract form of the problem, where no noise or other corruptions are present, the data are assumed to lie in general position inside the algebraic variety of a union of subspaces, and the objective is to decompose the variety into its constituent subspaces.

Clustering

Structured Sparse Subspace Clustering: A Unified Optimization Framework

no code implementations CVPR 2015 Chun-Guang Li, Rene Vidal

Our framework is based on expressing each data point as a structured sparse linear combination of all other data points, where the structure is induced by a norm that depends on the unknown segmentation.

Clustering Motion Segmentation +1

Sparse Subspace Clustering: Algorithm, Theory, and Applications

4 code implementations5 Mar 2012 Ehsan Elhamifar, Rene Vidal

In this paper, we propose and study an algorithm, called Sparse Subspace Clustering (SSC), to cluster data points that lie in a union of low-dimensional subspaces.

Clustering Face Clustering +1

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