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Jean-Yves Audibert

dblp:01/3781 · DBLP profile ↗
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37ranked-venue papers
10as first author
0since 2021 · last 2014
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Artificial intelligence and machine learning · 31 · 9 first-authorGraphics, computer vision, multimedia, augmented reality and games · 13Theory of computation · 2 · 1 first-author

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Artificial intelligence
25 papers
Learning theory · 22% Reinforcement learning · 22% Segmentation and scene understanding · 8%
Databases, data mining, and information retrieval
3 papers
Information retrieval · 69% Data mining · 31%
Theoretical computer science
4 papers
Graph algorithms and graph theory · 39% Algorithmic game theory and mechanism design · 26% Algorithms and data structures · 17%
Computer graphics and multimedia
2 papers
Multimedia analysis and retrieval · 70% Image and video processing · 30%

Topics — the 30 heaviest of 62, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Machine learning › Reinforcement learning
multi-armed bandit
0.542013
Lower bounds and selectivity of weak-consistent policies in stochastic multi-armed bandit problem · J. Mach. Learn. Res. 2013
Best Arm Identification in Multi-Armed Bandits · COLT 2010
Minimax Policies for Adversarial and Stochastic Bandits · COLT 2009
Machine learning › Probabilistic and Bayesian machine learning › stochastic processes › gaussian process › kernel design
context-dependent kernel
0.332011
Context-Dependent Kernels for Object Classification · IEEE Trans. Pattern Anal. Mach. Intell. 2011
Robust matching and recognition using context-dependent kernels · ICML 2008
Context-dependent kernel design for object matching and recognition · CVPR 2008
Machine learning › Reinforcement learning › multi-armed bandit
stochastic bandit
0.322013
Lower bounds and selectivity of weak-consistent policies in stochastic multi-armed bandit problem · J. Mach. Learn. Res. 2013
Minimax Policies for Adversarial and Stochastic Bandits · COLT 2009
Machine learning › Representation and self-supervised learning › representation learning › dimensionality reduction
manifold learning
0.242008
Segmentation by transduction · CVPR 2008
Graph Laplacians and their Convergence on Random Neighborhood Graphs · J. Mach. Learn. Res. 2007
From Graphs to Manifolds - Weak and Strong Pointwise Consistency of Graph Laplacians · COLT 2005
Machine learning › Kernel, tree and ensemble methods
kernel methods
0.222011
Context-Dependent Kernels for Object Classification · IEEE Trans. Pattern Anal. Mach. Intell. 2011
Robust matching and recognition using context-dependent kernels · ICML 2008
Robotics › Autonomous driving
road detection
0.222010
General Road Detection From a Single Image · IEEE Trans. Image Process. 2010
Vanishing point detection for road detection · CVPR 2009
Computer vision › 3D vision › camera calibration
vanishing point estimation
0.222010
General Road Detection From a Single Image · IEEE Trans. Image Process. 2010
Vanishing point detection for road detection · CVPR 2009
Machine learning › Learning theory › online learning
regret bounds
0.222010
Regret Bounds and Minimax Policies under Partial Monitoring · J. Mach. Learn. Res. 2010
Algorithms for Infinitely Many-Armed Bandits · NIPS 2008
Machine learning › Learning theory
generalization bounds
0.232007
Combining PAC-Bayesian and Generic Chaining Bounds · J. Mach. Learn. Res. 2007
Progressive mixture rules are deviation suboptimal · NIPS 2007
PAC-Bayesian Generic Chaining · NIPS 2003
Computer vision › Image recognition and object detection
object recognition
0.232011
Context-Dependent Kernels for Object Classification · IEEE Trans. Pattern Anal. Mach. Intell. 2011
Robust matching and recognition using context-dependent kernels · ICML 2008
Context-dependent kernel design for object matching and recognition · CVPR 2008
Machine learning › Learning theory › online learning › regret bounds
regret lower bounds
0.212013
Lower bounds and selectivity of weak-consistent policies in stochastic multi-armed bandit problem · J. Mach. Learn. Res. 2013
Machine learning › Learning theory
online learning
0.222009
Workshop summary: On-line learning with limited feedback · ICML 2009
A Randomized Online Learning Algorithm for Better Variance Control · COLT 2006
Information retrieval
relevance feedback
0.222008
Manifold learning using robust Graph Laplacian for interactive image search · CVPR 2008
Graph-Cut Transducers for Relevance Feedback in Content Based Image Retrieval · ICCV 2007
Data mining › text mining › text classification
transductive learning
0.222008
Manifold learning using robust Graph Laplacian for interactive image search · CVPR 2008
Graph-Cut Transducers for Relevance Feedback in Content Based Image Retrieval · ICCV 2007
Machine learning › Representation and self-supervised learning › representation learning
dimensionality reduction
0.122007
Manifold-adaptive dimension estimation · ICML 2007
Intrinsic dimensionality estimation of submanifolds in Rd · ICML 2005
Computer vision › Video understanding and tracking
crowd analysis
0.112011
Density-aware person detection and tracking in crowds · ICCV 2011
Computer vision › Image recognition and object detection › object counting › crowd counting
density map estimation
0.112011
Density-aware person detection and tracking in crowds · ICCV 2011
Computer vision › Video understanding and tracking › object tracking › person tracking
pedestrian detection and tracking
0.112011
Density-aware person detection and tracking in crowds · ICCV 2011
Machine learning › Deep learning architectures and training › regularization
sparse regularization
0.112011
Structured Variable Selection with Sparsity-Inducing Norms · J. Mach. Learn. Res. 2011
Multimedia analysis and retrieval › video surveillance
crowd analysis
0.112011
Data-driven crowd analysis in videos · ICCV 2011
Multimedia analysis and retrieval › video analysis
video understanding and tracking
0.112011
Data-driven crowd analysis in videos · ICCV 2011
Machine learning › Learning theory
generic chaining
0.122007
Combining PAC-Bayesian and Generic Chaining Bounds · J. Mach. Learn. Res. 2007
PAC-Bayesian Generic Chaining · NIPS 2003
Machine learning › Learning theory › generalization bounds
PAC-Bayes bounds
0.122007
Combining PAC-Bayesian and Generic Chaining Bounds · J. Mach. Learn. Res. 2007
PAC-Bayesian Generic Chaining · NIPS 2003
Computer vision › Video understanding and tracking › video anomaly detection
abandoned object detection
0.112010
Detecting Abandoned Objects With a Moving Camera · IEEE Trans. Image Process. 2010
Machine learning › Reinforcement learning › multi-armed bandit › pure exploration
best arm identification
0.112010
Best Arm Identification in Multi-Armed Bandits · COLT 2010
Computer vision › Segmentation and scene understanding
edge detection
0.112010
General Road Detection From a Single Image · IEEE Trans. Image Process. 2010
Computer vision › 3D vision
moving camera
0.112010
Detecting Abandoned Objects With a Moving Camera · IEEE Trans. Image Process. 2010
Machine learning › Reinforcement learning › bandit
partial monitoring
0.112010
Regret Bounds and Minimax Policies under Partial Monitoring · J. Mach. Learn. Res. 2010
Robotics › Autonomous driving › road detection
road boundary detection
0.112010
General Road Detection From a Single Image · IEEE Trans. Image Process. 2010
Image and video processing › image sequence processing
temporal alignment
0.112010
Detecting Abandoned Objects With a Moving Camera · IEEE Trans. Image Process. 2010

Methods — techniques the papers use, named apart from their topics

support vector machine · 0.3homography estimation · 0.2RANSAC · 0.2energy minimization · 0.2soft voting · 0.2gabor filter · 0.2weak-consistent policy · 0.2manifold learning · 0.2sparsity-inducing norms · 0.1nearest-neighbor matching · 0.1joint energy optimization · 0.1crowd density estimation · 0.1behavior priors · 0.1temporal filtering · 0.1graph laplacian · 0.1empirical bernstein bound · 0.1diffusion map · 0.1adaptive stopping · 0.1
YearPublicationVenuePosition
2014 Robustness of stochastic bandit policies
Antoine Salomon, Jean-Yves Audibert
Theor. Comput. Sci.2
2013 Lower bounds and selectivity of weak-consistent policies in stochastic multi-armed bandit problem
Antoine Salomon, Jean-Yves Audibert, Issam El Alaoui
J. Mach. Learn. Res.2
2012 Efficient and Scalable 4th-Order Match Propagation
David Ok, Renaud Marlet, Jean-Yves Audibert
ACCV (1)3
2012 Semantic hierarchies for image annotation: A survey
Anne-Marie Tousch, Stéphane Herbin, Jean-Yves Audibert
Pattern Recognit.3
2011 Deviations of Stochastic Bandit Regret
Antoine Salomon, Jean-Yves Audibert
ALT2
2011 Density-aware person detection and tracking in crowds
abstract
We address the problem of person detection and tracking in crowded video scenes. While the detection of individual objects has been improved significantly over the recent years, crowd scenes remain particularly challenging for the detection and tracking tasks due to heavy occlusions, high person densities and significant variation in people's appearance. To address these challenges, we propose to leverage information on the global structure of the scene and to resolve all detections jointly. In particular, we explore constraints imposed by the crowd density and formulate person detection as the optimization of a joint energy function combining crowd density estimation and the localization of individual people. We demonstrate how the optimization of such an energy function significantly improves person detection and tracking in crowds. We validate our approach on a challenging video dataset of crowded scenes.
Mikel Rodriguez, Ivan Laptev, Josef Sivic, Jean-Yves Audibert
ICCV4
2011 Data-driven crowd analysis in videos
abstract
In this work we present a new crowd analysis algorithm powered by behavior priors that are learned on a large database of crowd videos gathered from the Internet. The algorithm works by first learning a set of crowd behavior priors off-line. During testing, crowd patches are matched to the database and behavior priors are transferred. We adhere to the insight that despite the fact that the entire space of possible crowd behaviors is infinite, the space of distinguishable crowd motion patterns may not be all that large. For many individuals in a crowd, we are able to find analogous crowd patches in our database which contain similar patterns of behavior that can effectively act as priors to constrain the difficult task of tracking an individual in a crowd. Our algorithm is data-driven and, unlike some crowd characterization methods, does not require us to have seen the test video beforehand. It performs like state-of-the-art methods for tracking people having common crowd behaviors and outperforms the methods when the tracked individual behaves in an unusual way.
Mikel Rodriguez, Josef Sivic, Ivan Laptev, Jean-Yves Audibert
ICCV4
2011 Structured Variable Selection with Sparsity-Inducing Norms
Rodolphe Jenatton, Jean-Yves Audibert, Francis R. Bach
J. Mach. Learn. Res.2
2011 Context-Dependent Kernels for Object Classification
abstract
Kernels are functions designed in order to capture resemblance between data and they are used in a wide range of machine learning techniques, including support vector machines (SVMs). In their standard version, commonly used kernels such as the Gaussian one show reasonably good performance in many classification and recognition tasks in computer vision, bioinformatics, and text processing. In the particular task of object recognition, the main deficiency of standard kernels such as the convolution one resides in the lack in capturing the right geometric structure of objects while also being invariant. We focus in this paper on object recognition using a new type of kernel referred to as "context dependent.” Objects, seen as constellations of interest points, are matched by minimizing an energy function mixing 1) a fidelity term which measures the quality of feature matching, 2) a neighborhood criterion which captures the object geometry, and 3) a regularization term. We will show that the fixed point of this energy is a context-dependent kernel which is also positive definite. Experiments conducted on object recognition show that when plugging our kernel into SVMs, we clearly outperform SVMs with context-free kernels.
Hichem Sahbi, Jean-Yves Audibert, Renaud Keriven
IEEE Trans. Pattern Anal. Mach. Intell.2
2010 Best Arm Identification in Multi-Armed Bandits
Jean-Yves Audibert, Sébastien Bubeck, Rémi Munos
COLT1
2010 Network-dependent kernels for image ranking
abstract
The exponential growth of social networks (SN) currently makes them the standard way to share and explore data where users put informations (images, text, audio,...) and refer to other contents. This creates connected networks whose links provide valuable informations in order to enhance the performance of many tasks in information retrieval including ranking and annotation. We introduce in this paper a novel image retrieval framework based on a new class of kernels referred to as “network-dependent”. The main contribution of our method includes (i) a variational framework which helps designing a kernel using both the intrinsic image features and the underlying contextual informations resulting from different (e.g. social) links and (ii) the proof of convergence of the kernel to a fixed-point, that is positive definite and thus associated with a reproducing kernel Hilbert space (RKHS). Experiments conducted on different ground truths, including the ImageClef/Flickr set, show the outperformance and the substantial gain of our ranking kernel with respect to the use of classic “network-free” kernels.
Hichem Sahbi, Jean-Yves Audibert
ICIP2
2010 Some links between extremum spanning forests, watersheds and min-cuts
Cédric Allène, Jean-Yves Audibert, Michel Couprie, Renaud Keriven
Image Vis. Comput.2
2010 Regret Bounds and Minimax Policies under Partial Monitoring
Jean-Yves Audibert, Sébastien Bubeck
J. Mach. Learn. Res.1
2010 Detecting Abandoned Objects With a Moving Camera
abstract
This paper presents a novel framework for detecting nonflat abandoned objects by matching a reference and a target video sequences. The reference video is taken by a moving camera when there is no suspicious object in the scene. The target video is taken by a camera following the same route and may contain extra objects. The objective is to find these objects. GPS information is used to roughly align the two videos and find the corresponding frame pairs. Based upon the GPS alignment, four simple but effective ideas are proposed to achieve the objective: an intersequence geometric alignment based upon homographies, which is computed by a modified RANSAC, to find all possible suspicious areas, an intrasequence geometric alignment to remove false alarms caused by high objects, a local appearance comparison between two aligned intrasequence frames to remove false alarms in flat areas, and a temporal filtering step to confirm the existence of suspicious objects. Experiments on fifteen pairs of videos show the promise of the proposed method.
Hui Kong 0001, Jean-Yves Audibert, Jean Ponce
IEEE Trans. Image Process.2
2010 General Road Detection From a Single Image
abstract
Given a single image of an arbitrary road, that may not be well-paved, or have clearly delineated edges, or some a priori known color or texture distribution, is it possible for a computer to find this road? This paper addresses this question by decomposing the road detection process into two steps: the estimation of the vanishing point associated with the main (straight) part of the road, followed by the segmentation of the corresponding road area based upon the detected vanishing point. The main technical contributions of the proposed approach are a novel adaptive soft voting scheme based upon a local voting region using high-confidence voters, whose texture orientations are computed using Gabor filters, and a new vanishing-point-constrained edge detection technique for detecting road boundaries. The proposed method has been implemented, and experiments with 1003 general road images demonstrate that it is effective at detecting road regions in challenging conditions.
Hui Kong 0001, Jean-Yves Audibert, Jean Ponce
IEEE Trans. Image Process.2
2009 Transductive Segmentation of Textured Meshes
Anne-Laure Chauve, Jean-Philippe Pons, Jean-Yves Audibert, Renaud Keriven
ACCV (2)3
2009 Minimax Policies for Adversarial and Stochastic Bandits
Jean-Yves Audibert, Sébastien Bubeck
COLT1
2009 Vanishing point detection for road detection
abstract
Given a single image of an arbitrary road, that may not be well-paved, or have clearly delineated edges, or some a priori known color or texture distribution, is it possible for a computer to find this road? This paper addresses this question by decomposing the road detection process into two steps: the estimation of the vanishing point associated with the main (straight) part of the road, followed by the segmentation of the corresponding road area based on the detected vanishing point. The main technical contributions of the proposed approach are a novel adaptive soft voting scheme based on variable-sized voting region using confidence-weighted Gabor filters, which compute the dominant texture orientation at each pixel, and a new vanishing-point-constrained edge detection technique for detecting road boundaries. The proposed method has been implemented, and experiments with 1003 general road images demonstrate that it is both computationally efficient and effective at detecting road regions in challenging conditions.
Hui Kong 0001, Jean-Yves Audibert, Jean Ponce
CVPR2
2009 Workshop summary: On-line learning with limited feedback
Jean-Yves Audibert, Peter Auer, Alessandro Lazaric, Rémi Munos, Daniil Ryabko, Csaba Szepesvári
ICML1
2009 Exploration-exploitation tradeoff using variance estimates in multi-armed bandits
Jean-Yves Audibert, Rémi Munos, Csaba Szepesvári
Theor. Comput. Sci.1
2008 Segmentation by transduction
abstract
This paper addresses the problem of segmenting an image into regions consistent with user-supplied seeds (e.g., a sparse set of broad brush strokes). We view this task as a statistical transductive inference, in which some pixels are already associated with given zones and the remaining ones need to be classified. Our method relies on the Laplacian graph regularizer, a powerful manifold learning tool that is based on the estimation of variants of the Laplace-Beltrami operator and is tightly related to diffusion processes. Segmentation is modeled as the task of finding matting coefficients for unclassified pixels given known matting coefficients for seed pixels. The proposed algorithm essentially relies on a high margin assumption in the space of pixel characteristics. It is simple, fast, and accurate, as demonstrated by qualitative results on natural images and a quantitative comparison with state-of-the-art methods on the Microsoft GrabCut segmentation database.
Olivier Duchenne, Jean-Yves Audibert, Renaud Keriven, Jean Ponce, Florent Ségonne
CVPR2
2008 Context-dependent kernel design for object matching and recognition
abstract
The success of kernel methods including support vector networks (SVMs) strongly depends on the design of appropriate kernels. While initially kernels were designed in order to handle fixed-length data, their extension to unordered, variable-length data became more than necessary for real pattern recognition problems such as object recognition and bioinformatics. We focus in this paper on object recognition using a new type of kernel referred to as ldquocontext-dependentrdquo. Objects, seen as constellations of local features (interest points, regions, etc.), are matched by minimizing an energy function mixing (1) a fidelity term which measures the quality of feature matching, (2) a neighborhood criteria which captures the object geometry and (3) a regularization term. We will show that the fixed-point of this energy is a ldquocontext-dependentrdquo kernel (ldquoCDKrdquo) which also satisfies the Mercer condition. Experiments conducted on object recognition show that when plugging our kernel in SVMs, we clearly outperform SVMs with ldquocontext-freerdquo kernels.
Hichem Sahbi, Jean-Yves Audibert, Jaonary Rabarisoa, Renaud Keriven
CVPR2
2008 Manifold learning using robust Graph Laplacian for interactive image search
abstract
Interactive image search or relevance feedback is the process which helps a user refining his query and finding difficult target categories. This consists in partially labeling a very small fraction of an image database and iteratively refining a decision rule using both the labeled and unlabeled data. Training of this decision rule is referred to as transductive learning. Our work is an original approach for relevance feedback based on Graph Laplacian. We introduce a new Graph Laplacian which makes it possible to robustly learn the embedding, of the manifold enclosing the dataset, via a diffusion map. Our approach is three-folds: it allows us (i) to integrate all the unlabeled images in the decision process (ii) to robustly capture the topology of the image set and (iii) to perform the search process inside the manifold. Relevance feedback experiments were conducted on simple databases including Olivetti and Swedish as well as challenging and large scale databases including Corel. Comparisons show clear and consistent gain, of our graph Laplacian method, with respect to state-of-the art relevance feedback approaches.
Hichem Sahbi, Patrick Etyngier, Jean-Yves Audibert, Renaud Keriven
CVPR3
2008 Graph laplacian for interactive image retrieval
abstract
Interactive image search or relevance feedback is the process which helps a user refining his query and finding difficult target categories. This consists in a step-by-step labeling of a very small fraction of an image database and iteratively refining a decision rule using both the labeled and unlabeled data. Training of this decision rule is referred to as transductive learning. Our work is an original approach for relevance feedback based on Graph Laplacian. We introduce a new Graph Laplacian which makes it possible to robustly learn the embedding of the manifold enclosing the dataset via a diffusion map. Our approach is two-folds: it allows us (i) to integrate all the unlabeled images in the decision process and (ii) to robustly capture the topology of the image set. Relevance feedback experiments were conducted on simple databases including Olivetti and Swedish as well as challenging and large scale databases including Corel. Comparisons show clear and consistent gain of our graph Laplacian method with respect to state-of-the art relevance feedback approaches.
Hichem Sahbi, Patrick Etyngier, Jean-Yves Audibert, Renaud Keriven
ICASSP3
2008 Empirical Bernstein stopping
abstract
Sampling is a popular way of scaling up machine learning algorithms to large datasets. The question often is how many samples are needed. Adaptive stopping algorithms monitor the performance in an online fashion and they can stop early, saving valuable resources. We consider problems where probabilistic guarantees are desired and demonstrate how recently-introduced empirical Bernstein bounds can be used to design stopping rules that are efficient. We provide upper bounds on the sample complexity of the new rules, as well as empirical results on model selection and boosting in the filtering setting.
Volodymyr Mnih, Csaba Szepesvári, Jean-Yves Audibert
ICML3
2008 Robust matching and recognition using context-dependent kernels
abstract
The success of kernel methods including support vector machines (SVMs) strongly depends on the design of appropriate kernels. While initially kernels were designed in order to handle fixed-length data, their extension to unordered, variable-length data became more than necessary for real pattern recognition problems such as object recognition and bioinformatics.
Hichem Sahbi, Jean-Yves Audibert, Jaonary Rabarisoa, Renaud Keriven
ICML2
2008 Algorithms for Infinitely Many-Armed Bandits
abstract
We consider multi-armed bandit problems where the number of arms is larger than the possible number of experiments. We make a stochastic assumption on the mean-reward of a new selected arm which characterizes its probability of being a near-optimal arm. Our assumption is weaker than in previous works. We describe algorithms based on upper-confidence-bounds applied to a restricted set of randomly selected arms and provide upper-bounds on the resulting expected regret. We also derive a lower-bound which matchs (up to logarithmic factors) the upper-bound in some cases.
Yizao Wang, Jean-Yves Audibert, Rémi Munos
NIPS2
2007 Tuning Bandit Algorithms in Stochastic Environments
Jean-Yves Audibert, Rémi Munos, Csaba Szepesvári
ALT1
2007 Graph-Cut Transducers for Relevance Feedback in Content Based Image Retrieval
abstract
Closing the semantic gap in content based image retrieval (CBIR) basically requires the knowledge of the user's intention which is usually translated into a sequence of questions and answers (Q&A). The user's feedback to these questions provides a CBIR system with a partial labeling of the data and makes it possible to iteratively refine a decision rule on the unlabeled data. Training of this decision rule is referred to as transductive learning. This work is an original approach to relevance feedback (RF) based on graph-cuts. Training consists in implicitly modeling the manifold enclosing both the labeled and unlabeled dataset and finding a partition of this manifold using a min-cut. The contribution of this work is two-fold (i) this is the first comprehensive study of relevance feedback using graph cuts and (ii) our RF model exploits the structure of the data manifold by considering also the structure of the unlabeled data. Experiments conducted on generic as well as specific databases show that our graph-cut based approach is very effective, outperforms other existing methods and makes it possible to converge to almost all the images of the user's "class of interest" with a very small labeling effort. A demo is available through our image retrieval tool kit (IRTK).
Hichem Sahbi, Jean-Yves Audibert, Renaud Keriven
ICCV2
2007 Manifold-adaptive dimension estimation
abstract
Intuitively, learning should be easier when the data points lie on a low-dimensional submanifold of the input space. Recently there has been a growing interest in algorithms that aim to exploit such geometrical properties of the data. Oftentimes these algorithms require estimating the dimension of the manifold first. In this paper we propose an algorithm for dimension estimation and study its finite-sample behaviour. The algorithm estimates the dimension locally around the data points using nearest neighbor techniques and then combines these local estimates. We show that the rate of convergence of the resulting estimate is independent of the dimension of the input space and hence the algorithm is “manifold-adaptive”. Thus, when the manifold supporting the data is low dimensional, the algorithm can be exponentially more efficient than its counterparts that are not exploiting this property. Our computer experiments confirm the obtained theoretical results. 1.
Amir-massoud Farahmand, Csaba Szepesvári, Jean-Yves Audibert
ICML3
2007 Progressive mixture rules are deviation suboptimal
abstract
We consider the learning task consisting in predicting as well as the best function in a finite reference set G up to the smallest possible additive term. If R(g) denotes the generalization error of a prediction function g, under reasonable assumptions on the loss function (typically satisfied by the least square loss when the output is bounded), it is known that the progressive mixture rule gn satisfies E R(gn) < min_{g in G} R(g) + Cst (log|G|)/n where n denotes the size of the training set, E denotes the expectation wrt the training set distribution. This work shows that, surprisingly, for appropriate reference sets G, the deviation convergence rate of the progressive mixture rule is only no better than Cst / sqrt{n}, and not the expected Cst / n. It also provides an algorithm which does not suffer from this drawback.
Jean-Yves Audibert
NIPS1
2007 Combining PAC-Bayesian and Generic Chaining Bounds
Jean-Yves Audibert, Olivier Bousquet
J. Mach. Learn. Res.1
2007 Graph Laplacians and their Convergence on Random Neighborhood Graphs
Matthias Hein 0001, Jean-Yves Audibert, Ulrike von Luxburg
J. Mach. Learn. Res.2
2006 A Randomized Online Learning Algorithm for Better Variance Control
Jean-Yves Audibert
COLT1
2005 From Graphs to Manifolds - Weak and Strong Pointwise Consistency of Graph Laplacians
Matthias Hein 0001, Jean-Yves Audibert, Ulrike von Luxburg
COLT2
2005 Intrinsic dimensionality estimation of submanifolds in Rd
abstract
We present a new method to estimate the intrinsic dimensionality of a submanifold M in Rd from random samples. The method is based on the convergence rates of a certain U-statistic on the manifold. We solve at least partially the question of the choice of the scale of the data. Moreover the proposed method is easy to implement, can handle large data sets and performs very well even for small sample sizes. We compare the proposed method to two standard estimators on several artificial as well as real data sets.
Matthias Hein 0001, Jean-Yves Audibert
ICML2
2003 PAC-Bayesian Generic Chaining
abstract
There exist many different generalization error bounds for classification. Each of these bounds contains an improvement over the others for cer- tain situations. Our goal is to combine these different improvements into a single bound. In particular we combine the PAC-Bayes approach intro- duced by McAllester [1], which is interesting for averaging classifiers, with the optimal union bound provided by the generic chaining technique developed by Fernique and Talagrand [2]. This combination is quite nat- ural since the generic chaining is based on the notion of majorizing mea- sures, which can be considered as priors on the set of classifiers, and such priors also arise in the PAC-bayesian setting.
Jean-Yves Audibert, Olivier Bousquet
NIPS1