Frank Nielsen
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Frank Nielsencomputer-science Degrees
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Computer Science Mathematics
Frank Nielsen's Degrees
- PhD Computer Science University of Copenhagen
- Masters Mathematics University of Copenhagen
- Bachelors Physics University of Copenhagen
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(Suggest an Edit or Addition)Frank Nielsen's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Statistical region merging (2004) (824)
- DeepBach: a Steerable Model for Bach Chorales Generation (2016) (355)
- On weighting clustering (2006) (279)
- Sided and Symmetrized Bregman Centroids (2009) (186)
- Bregman Voronoi Diagrams (2007) (177)
- Statistical exponential families: A digest with flash cards (2009) (174)
- K-nearest neighbor search: Fast GPU-based implementations and application to high-dimensional feature matching (2010) (166)
- The Burbea-Rao and Bhattacharyya Centroids (2010) (158)
- Introduction to HPC with MPI for Data Science (2016) (137)
- An Elementary Introduction to Information Geometry (2018) (126)
- On the chi square and higher-order chi distances for approximating f-divergences (2013) (118)
- Matrix Information Geometry (2012) (102)
- A Review of Two Decades of Correlations, Hierarchies, Networks and Clustering in Financial Markets (2017) (98)
- Shape Retrieval Using Hierarchical Total Bregman Soft Clustering (2012) (98)
- Total Bregman Divergence and Its Applications to DTI Analysis (2011) (97)
- Loss factorization, weakly supervised learning and label noise robustness (2016) (95)
- A family of statistical symmetric divergences based on Jensen's inequality (2010) (82)
- Entropies and cross-entropies of exponential families (2010) (77)
- On the Jensen–Shannon Symmetrization of Distances Relying on Abstract Means (2019) (70)
- An Information-Geometric Characterization of Chernoff Information (2013) (69)
- Bregman Divergences and Surrogates for Learning (2009) (68)
- Guaranteed Bounds on Information-Theoretic Measures of Univariate Mixtures Using Piecewise Log-Sum-Exp Inequalities (2016) (67)
- A closed-form expression for the Sharma–Mittal entropy of exponential families (2011) (65)
- Fitting the Smallest Enclosing Bregman Ball (2005) (60)
- Dynamic data structures for fat objects and their applications (1997) (59)
- Visual computing : geometry, graphics, and vision (2005) (58)
- GLSR-VAE: Geodesic latent space regularization for variational autoencoder architectures (2017) (57)
- On Rényi and Tsallis entropies and divergences for exponential families (2011) (56)
- Approximating Smallest Enclosing Balls with Applications to Machine Learning (2009) (54)
- Chernoff information of exponential families (2011) (54)
- On a Generalization of the Jensen–Shannon Divergence and the Jensen–Shannon Centroid (2019) (53)
- On Conformal Divergences and Their Population Minimizers (2013) (53)
- Total Bregman divergence and its applications to shape retrieval (2010) (53)
- Sinkhorn AutoEncoders (2018) (53)
- On the Smallest Enclosing Information Disk (2008) (52)
- Semi-supervised statistical region refinement for color image segmentation (2005) (52)
- Guaranteed Bounds on the Kullback–Leibler Divergence of Univariate Mixtures (2016) (52)
- A Real generalization of discrete AdaBoost (2006) (51)
- On the Efficient Minimization of Classification Calibrated Surrogates (2008) (49)
- Local Polynomial Whittle Estimation of Perturbed Fractional Processes (2008) (49)
- Combinatorial optimization algorithms for radio network planning (2001) (49)
- Hyperbolic Voronoi Diagrams Made Easy (2009) (48)
- Simplification and hierarchical representations of mixtures of exponential families (2010) (48)
- Fast stabbing of boxes in high dimensions (1996) (47)
- Bregman vantage point trees for efficient nearest Neighbor Queries (2009) (46)
- Tsallis Regularized Optimal Transport and Ecological Inference (2016) (45)
- Closed-form information-theoretic divergences for statistical mixtures (2012) (44)
- Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasi-arithmetic means (2014) (43)
- On a generalization of the Jensen-Shannon divergence and the JS-symmetrization of distances relying on abstract means (2019) (43)
- Bregman Voronoi Diagrams: Properties, Algorithms and Applications (2007) (43)
- Total Jensen divergences: Definition, properties and clustering (2013) (42)
- K-MLE: A fast algorithm for learning statistical mixture models (2012) (42)
- On region merging: the statistical soundness of fast sorting, with applications (2003) (39)
- Anticipation-RNN: enforcing unary constraints in sequence generation, with application to interactive music generation (2018) (38)
- On approximating the Riemannian 1-center (2011) (35)
- Approximating Smallest Enclosing Balls (2004) (34)
- G-Protein Coupled Receptor Signaling Architecture of Mammalian Immune Cells (2009) (33)
- Emerging Trends in Visual Computing, LIX Fall Colloquium, ETVC 2008, Palaiseau, France, November 18-20, 2008. Revised Invited Papers (2009) (31)
- Optimal Interval Clustering: Application to Bregman Clustering and Statistical Mixture Learning (2014) (30)
- Levels of Details for Gaussian Mixture Models (2009) (29)
- Output-Sensitive Convex Hull Algorithms of Planar Convex Objects (1998) (28)
- On Clustering Histograms with k-Means by Using Mixed α-Divergences (2014) (28)
- Interactive Music Generation with Positional Constraints using Anticipation-RNNs (2017) (27)
- Cramer-Rao Lower Bound and Information Geometry (2013) (27)
- Leveraging Κ-nn for generic classification boosting (2010) (26)
- Output-Sensitive Peeling of Convex and Maximal Layers (1996) (26)
- Tailored Bregman Ball Trees for Effective Nearest Neighbors (2009) (26)
- Clustering Multivariate Normal Distributions (2009) (26)
- Visualizing bregman voronoi diagrams (2007) (26)
- Boosting k-NN for Categorization of Natural Scenes (2010) (25)
- Jeffreys Centroids: A Closed-Form Expression for Positive Histograms and a Guaranteed Tight Approximation for Frequency Histograms (2013) (24)
- Hierarchical Gaussian Mixture Model (2010) (23)
- Learning Mixtures by Simplifying Kernel Density Estimators (2013) (23)
- Clustering Financial Time Series: How Long Is Enough? (2016) (23)
- Relative Fisher Information and Natural Gradient for Learning Large Modular Models (2017) (22)
- On the Centroids of Symmetrized Bregman Divergences (2007) (22)
- On Hölder Projective Divergences (2017) (21)
- Maintenance of a Piercing Set for Intervals with Applications (2000) (21)
- On the Geometry of Mixtures of Prescribed Distributions (2018) (21)
- K-variates++: More Pluses in the K-means++ (2016) (20)
- Simplifying Gaussian mixture models via entropic quantization (2009) (20)
- WHAT IS… an Information Projection? (2018) (20)
- The Dual Voronoi Diagrams with Respect to Representational Bregman Divergences (2009) (19)
- A closed-form formula for the Kullback-Leibler divergence between Cauchy distributions (2019) (18)
- Generalizing Skew Jensen Divergences and Bregman Divergences With Comparative Convexity (2017) (18)
- Geometric Science of Information (2017) (18)
- On piercing sets of objects (1996) (17)
- Optimal transport vs. Fisher-Rao distance between copulas for clustering multivariate time series (2016) (17)
- Tractable structured natural gradient descent using local parameterizations (2021) (17)
- Monte Carlo Information Geometry: The dually flat case (2018) (17)
- Patch Matching with Polynomial Exponential Families and Projective Divergences (2016) (16)
- On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius (2021) (16)
- Earth Mover Distance on superpixels (2010) (16)
- Mining Matrix Data with Bregman Matrix Divergences for Portfolio Selection (2013) (16)
- ClickRemoval: interactive pinpoint image object removal (2005) (15)
- Searching High-Dimensional Neighbours: CPU-Based Tailored Data-Structures Versus GPU-Based Brute-Force Method (2009) (15)
- A fast deterministic smallest enclosing disk approximation algorithm (2005) (15)
- On approximating the smallest enclosing Bregman Balls (2006) (15)
- Local Polynomial Whittle Estimation Covering Non-Stationary Fractional Processes (2007) (15)
- Geometric Science of Information (2015) (15)
- Reranking with Contextual Dissimilarity Measures from Representational Bregman k-Means (2010) (15)
- Hypothesis Testing, Information Divergence and Computational Geometry (2013) (14)
- Clustering in Hilbert’s Projective Geometry: The Case Studies of the Probability Simplex and the Elliptope of Correlation Matrices (2018) (14)
- Medians and means in Finsler geometry (2010) (14)
- The Science of Computing (2009) (14)
- On f-Divergences Between Cauchy Distributions (2021) (14)
- Geometric Theory of Information (2014) (13)
- Fast Learning of Gamma Mixture Models with k-MLE (2013) (13)
- On geodesic triangles with right angles in a dually flat space (2019) (13)
- Visualizing hyperbolic Voronoi diagrams (2014) (13)
- Total Jensen divergences: Definition, Properties and k-Means++ Clustering (2013) (13)
- Model centroids for the simplification of Kernel Density estimators (2012) (12)
- Lightlike Neuromanifolds, Occam's Razor and Deep Learning (2019) (12)
- A Proposal of a Methodological Framework with Experimental Guidelines to Investigate Clustering Stability on Financial Time Series (2015) (12)
- Bregman sided and symmetrized centroids (2008) (12)
- The statistical Minkowski distances: Closed-form formula for Gaussian Mixture Models (2019) (12)
- Classification with mixtures of curved mahalanobis metrics (2016) (11)
- Real Boosting a la Carte with an Application to Boosting Oblique Decision Tree (2007) (11)
- The Many Faces of Information Geometry (2022) (11)
- Jensen-Bregman Voronoi Diagrams and Centroidal Tessellations (2010) (10)
- Pattern Learning and Recognition on Statistical Manifolds: An Information-Geometric Review (2013) (10)
- Bhattacharyya Clustering with Applications to Mixture Simplifications (2010) (10)
- Grouping with bias revisited (2004) (10)
- On w-mixtures: Finite convex combinations of prescribed component distributions (2017) (10)
- A New Implementation of k-MLE for Mixture Modeling of Wishart Distributions (2013) (9)
- On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds (2020) (9)
- Monte Carlo Information-Geometric Structures (2018) (9)
- MaxEnt Upper Bounds for the Differential Entropy of Univariate Continuous Distributions (2017) (9)
- On the symmetrical Kullback-Leibler Jeffreys centroids (2013) (9)
- Clustering in Hilbert simplex geometry (2017) (9)
- K-Medoids Clustering Is Solvable in Polynomial Time for a 2d Pareto Front (2019) (9)
- Visual Computing: Geometry, Graphics, and Vision (Graphics Series) (2005) (9)
- GUARANTEED DETERMINISTIC BOUNDS ON THE TOTAL VARIATION DISTANCE BETWEEN UNIVARIATE MIXTURES (2018) (8)
- On domain-partitioning induction criteria: worst-case bounds for the worst-case based (2004) (8)
- Boosting Nearest Neighbors for the Efficient Estimation of Posteriors (2012) (8)
- Local Whittle Estimation of Multivariate Fractionally Integrated Processes (2009) (8)
- k-MLE for mixtures of generalized Gaussians (2012) (8)
- Quantum Voronoi diagrams and Holevo channel capacity for 1-qubit quantum states (2008) (8)
- On tracking portfolios with certainty equivalents on a generalization of Markowitz model: the Fool, the Wise and the Adaptive (2011) (8)
- q-Paths: Generalizing the Geometric Annealing Path using Power Means (2021) (7)
- Soft memberships for spectral clustering, with application to permeable language distinction (2009) (7)
- Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry (2015) (7)
- The hyperbolic Voronoi diagram in arbitrary dimension (2012) (7)
- Clustering a 2d Pareto Front: P-center Problems Are Solvable in Polynomial Time (2020) (7)
- Object-Oriented Data-Structures (2009) (7)
- An Abstract Weighting Framework for Clustering Algorithms (2004) (7)
- Optimal copula transport for clustering multivariate time series (2015) (7)
- An Interactive Tour of Voronoi Diagrams on the GPU (2007) (7)
- Consensus Region Merging for Image Segmentation (2013) (7)
- Non-flat clustering with alpha-divergences (2011) (6)
- Annealed Importance Sampling with q-Paths (2020) (6)
- Unified Polynomial Dynamic Programming Algorithms for P-Center Variants in a 2D Pareto Front (2021) (6)
- Computational Information Geometry for Binary Classification of High-Dimensional Random Tensors † (2018) (6)
- Exploring and measuring non-linear correlations: Copulas, Lightspeed Transportation and Clustering (2016) (6)
- Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences (2022) (6)
- Grouping and Querying: A Paradigm to Get Output-Sensitive Algorithms (1998) (6)
- The Siegel–Klein Disk: Hilbert Geometry of the Siegel Disk Domain (2020) (6)
- Hartigan’s Method for k-MLE: Mixture Modeling with Wishart Distributions and Its Application to Motion Retrieval (2014) (6)
- Texture Regimes for Entropy-Based Multiscale Image Analysis (2010) (6)
- On Clustering Financial Time Series: A Need for Distances Between Dependent Random Variables (2016) (6)
- Revisiting Chernoff Information with Likelihood Ratio Exponential Families (2022) (5)
- Clustering Patterns Connecting COVID-19 Dynamics and Human Mobility Using Optimal Transport (2020) (5)
- HCMapper: An interactive visualization tool to compare partition-based flat clustering extracted from pairs of dendrograms (2015) (5)
- Computational Information Geometry For Image and Signal Processing (2017) (5)
- Information geometry metric for random signal detection in large random sensing systems (2017) (5)
- Likelihood Ratio Exponential Families (2020) (5)
- On Balls in a Hilbert Polygonal Geometry (Multimedia Contribution) (2017) (5)
- PyMEF — A framework for exponential families in Python (2011) (5)
- Jensen Divergence-Based Means of SPD Matrices (2013) (5)
- Randomized motion estimation (2010) (5)
- The Kullback–Leibler Divergence Between Lattice Gaussian Distributions (2021) (5)
- On information projections between multivariate elliptical and location-scale families (2021) (5)
- k-Means Clustering with Hölder Divergences (2017) (5)
- On point covers of c-oriented polygons (2001) (5)
- Structured second-order methods via natural gradient descent (2021) (5)
- A note on Onicescu's informational energy and correlation coefficient in exponential families (2020) (5)
- Fast Graph Segmentation Based on Statistical Aggregation Phenomena (2007) (5)
- Comix: Joint estimation and lightspeed comparison of mixture models (2016) (5)
- Computational Information Geometry (2017) (5)
- Gentle Nearest Neighbors Boosting over Proper Scoring Rules (2015) (5)
- Non-linear book manifolds: learning from associations the dynamic geometry of digital libraries (2013) (4)
- The Chord Gap Divergence and a Generalization of the Bhattacharyya Distance (2018) (4)
- The duo Fenchel-Young divergence (2022) (4)
- Parallel Linear Algebra (2016) (4)
- Cumulant-free closed-form formulas for some common (dis)similarities between densities of an exponential family (2020) (4)
- Relative Natural Gradient for Learning Large Complex Models (2016) (4)
- Iconic interface for interactive fiction retrieval in libraries based on a cognitive task analysis (1992) (4)
- Testing for Long Memory in Potentially Nonstationary Perturbed Fractional Processes (2008) (4)
- k-medoids and p-median clustering are solvable in polynomial time for a 2d Pareto front. (2020) (4)
- On the Kullback-Leibler divergence between location-scale densities (2019) (4)
- Geometric science of information : first International Conference, GSI 2013, Paris, France, August 28-30, 2013, proceedings (2013) (4)
- Information-Geometric Set Embeddings (IGSE): From Sets to Probability Distributions (2019) (4)
- Geometric Science of Information (2013) (4)
- Further heuristics for $k$-means: The merge-and-split heuristic and the $(k, l)$-means (2014) (4)
- Introduction to MPI: The Message Passing Interface (2016) (4)
- On power chi expansions of f-divergences (2019) (4)
- The entropic centers of multivariate normal distributions (2007) (4)
- Interactive Pinpoint Image Object Removal (2005) (3)
- Information-geometric lenses for multiple foci+contexts interfaces (2013) (3)
- A generalization of the Jensen divergence: The chord gap divergence (2017) (3)
- A Concise and Practical Introduction to Programming Algorithms in Java (2009) (3)
- K-NN boosting prototype learning for object classification (2010) (3)
- Multi-class Leveraged κ-NN for Image Classification (2010) (3)
- Harris-Stephens' combined corner/edge detector (2008) (3)
- Combinatorial bounds on the α-divergence of univariate mixture models (2017) (3)
- A generalization of the α-divergences based on comparable and distinct weighted means (2020) (3)
- Fast $(1+ε)$-approximation of the Löwner extremal matrices of high-dimensional symmetric matrices (2016) (3)
- Generalizing Jensen and Bregman divergences with comparative convexity and the statistical Bhattacharyya distances with comparable means (2017) (3)
- Fast Approximations of the Jeffreys Divergence between Univariate Gaussian Mixtures via Mixture Conversions to Exponential-Polynomial Distributions (2021) (3)
- Accuracy of distance metric learning algorithms (2009) (3)
- On The Chain Rule Optimal Transport Distance (2018) (3)
- Geometry and Fixed-Rate Quantization in Riemannian Metric Spaces Induced by Separable Bregman Divergences (2019) (3)
- Geometry of the probability simplex and its connection to the maximum entropy method (2020) (3)
- Quantifying the Invariance and Robustness of Permutation-Based Indexing Schemes (2016) (3)
- Large Margin Nearest Neighbor Classification using Curved Mahalanobis Distances (2016) (3)
- A Geometric Clustering Tool (AGCT) to robustly unravel the inner cluster structures of time-series gene expressions (2020) (2)
- Clustering in a 2d Pareto Front: p-median and p-center are solvable in polynomial time (2018) (2)
- Biomedical Images Classification by Universal Nearest Neighbours Classifier Using Posterior Probability (2012) (2)
- Fitting the smallest enclosing Bregman balls (2005) (2)
- Topology of Interconnection Networks (2016) (2)
- Jensen divergence based SPD matrix means and applications (2012) (2)
- Towards Modeling and Resolving Singular Parameter Spaces using Stratifolds (2021) (2)
- A note on the f-divergences between multivariate location-scale families with either prescribed scale matrices or location parameters (2022) (2)
- Video Stippling (2010) (2)
- A series of maximum entropy upper bounds of the differential entropy (2016) (2)
- Interactive Point-and-Click Segmentation for Object Removal in Digital Images (2005) (2)
- Online k-MLE for Mixture Modeling with Exponential Families (2015) (2)
- Technical opinionSteering self-learning distance algorithms (2009) (2)
- The dually flat information geometry of the mixture family of two prescribed Cauchy components (2021) (2)
- SSSC-AM: A unified framework for video co-segmentation by structured sparse subspace clustering with appearance and motion features (2016) (2)
- Quasiconvex Jensen Divergences and Quasiconvex Bregman Divergences (2020) (2)
- Improving clustering algorithms through constrained convex optimization (2004) (2)
- Approximating smallest enclosing disks (2004) (2)
- cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope (2021) (1)
- Further results on the hyperbolic Voronoi diagrams (2014) (1)
- Geometric Science of Information: 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings (2019) (1)
- Comment partitionner automatiquement des marches aléatoires ? Avec application à la finance quantitative (2015) (1)
- Bregman Divergences from Comparative Convexity (2017) (1)
- Partition-Based Clustering with k-Means (2016) (1)
- Erratum to: Computational Information Geometry (2017) (1)
- The {\alpha}-divergences associated with a pair of strictly comparable quasi-arithmetic means (2020) (1)
- On learning statistical mixtures maximizing the complete likelihood The k-MLE methodology using geometric hard clustering (2015) (1)
- The Bregman chord divergence (2018) (1)
- On the Error Exponent of a Random Tensor with Orthonormal Factor Matrices (2017) (1)
- Supervised Learning: Practice and Theory of Classification with the k -NN Rule (2016) (1)
- Predicting and Interpreting Business Failures with Supervised Information Geometric Algorithms (2011) (1)
- Tsallis Regularized Optimal Transport and Ecological Inference — Supplementary Material — (2016) (1)
- A Simple Approximation Method for the Fisher–Rao Distance between Multivariate Normal Distributions (2023) (1)
- Logging safely in public spaces using color PINs (2013) (1)
- A Visual Interactive Framework for Formal Derivation (2005) (1)
- ACM Content Wants to Be Free (2009) (1)
- q-Neurons: Neuron Activations Based on Stochastic Jackson’s Derivative Operators (2018) (1)
- Self-improved gaps almost everywhere for the agnostic approximation of monomials (2007) (1)
- Hilbert geometry of the Siegel disk: The Siegel-Klein disk model (2020) (1)
- The MapReduce Paradigm (2016) (1)
- Intrinsic Geometries in Learning (2009) (1)
- Abstracts of the LIX Fall Colloquium 2008: Emerging Trends in Visual Computing (2009) (1)
- Clustering Random Walk Time Series (2015) (1)
- The phylogenetic tree of boosting has a bushy carriage but a single trunk (2020) (1)
- A note on some information-theoretic divergences between Zeta distributions (2021) (1)
- Fast (1+\epsilon )-Approximation of the Löwner Extremal Matrices of High-Dimensional Symmetric Matrices (2017) (1)
- Soft Uncoupling of Markov Chains for Permeable Language Distinction: A New Algorithm (2006) (1)
- Shooter Location through Piercing Sets (2000) (1)
- Paradigms for Optimization Problems (2009) (0)
- A Glance at High Performance Computing (HPC) (2016) (0)
- Conditional Structures and Loops (2009) (0)
- A note on the quasiconvex Jensen divergences and the quasiconvex Bregman divergences derived thereof (2019) (0)
- Evolving a Vector Space with any Generating Set (2017) (0)
- Elmodel-service. Slutrapport (1997) (0)
- Staring at Economic Aggregators through Information Lenses (2008) (0)
- Computational Geometry for Statistics (2012) (0)
- Tutorial session 2 (Frank Nielsen, Ariel Caticha, Ken H. Knuth) (2014) (0)
- Geometry and clustering with metrics derived from separable Bregman divergences (2018) (0)
- Some results on a χ-divergence, an extended Fisher information and generalized Cramér-Rao inequalities (2020) (0)
- Oral session 3 Information geometry (Ariel Caticha, Steeve Zozor, Frank Nielsen) (2014) (0)
- A Geometric Modeling of Occam's Razor in Deep Learning (2019) (0)
- Opening and closing sessions (chaired by Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel) (2017) (0)
- On Balls in a Hilbert Polygonal Geometry (2017) (0)
- Batch and Online Mixture Learning: A Review with Extensions (2017) (0)
- Simplifying Momentum-based Positive-definite Submanifold Optimization with Applications to Deep Learning (2023) (0)
- Simplifying Momentum-based Riemannian Submanifold Optimization (2023) (0)
- Oral session 6 Foundations and Geometry (John Skilling, Frank Nielsen, Ariel Caticha) (2014) (0)
- Non-linear Embeddings in Hilbert Simplex Geometry (2022) (0)
- Objects and Strings (2009) (0)
- Computing Statistical Divergences with Sigma Points (2021) (0)
- Information geometry of the Tojo-Yoshino's exponential family on the Poincaré upper plane (2022) (0)
- Jensen-Shannon divergence and diversity index: Origins and some extensions (0)
- Beyond scalar quasi-arithmetic means: Quasi-arithmetic averages and quasi-arithmetic mixtures in information geometry (2023) (0)
- Functions and Recursive Functions (2009) (0)
- Computing Minimum Cut Sets for Circular-Arc Graphs | a New Approach (1999) (0)
- Fast approximations of the Jeffreys divergence between univariate Gaussian mixture models via exponential polynomial densities (2021) (0)
- D ec 2 01 8 Clustering in a 2 d Pareto Front : p-median and p-center are solvable in polynomial time (0)
- The analytic dually flat space of the mixture family of two prescribed distinct Cauchy distributions (2021) (0)
- Generalizing the Alpha-Divergences and the Oriented Kullback-Leibler Divergences with Quasi-Arithmetic Means (2022) (0)
- Boosting k-NN for Categorization of Natural Scenes (2012) (0)
- Distribution-free Evolvability of Vector Spaces: All it takes is a Generating Set (2017) (0)
- On the Influence of Enforcing Model Identifiability on Learning dynamics of Gaussian Mixture Models (2022) (0)
- On Voronoi diagrams and dual Delaunay complexes on the information-geometric Cauchy manifolds (2020) (0)
- Expressions, Variables and Assignments (2009) (0)
- Keynote speach Marc Arnaudon (chaired by Frank Nielsen) (2015) (0)
- Chain Rule Optimal Transport (2021) (0)
- On the efficient minimization of convex surrogates in supervised learning (2008) (0)
- Rho-Tau Bregman Information and the Geometry of Annealing Paths (2022) (0)
- The analytic dually flat space of the statistical mixture family of two prescribed distinct Cauchy components (2021) (0)
- Image and Information (2016) (0)
- Deep rank-based transposition-invariant distances on musical sequences (2017) (0)
- Information measures and geometry of the hyperbolic exponential families of Poincar\'e and hyperboloid distributions (2022) (0)
- Clustering Random Walk Time Series GSI 2015 - Geometric Science of Information (2015) (0)
- Information geometry: Dualistic manifold structures and their uses (2018) (0)
- Computational Information Geometry (chaired by Frank Nielsen, Paul Marriott) (2015) (0)
- Boosting Bayesian MAP Classification (2010) (0)
- session Computational Information Geometry (chaired by Frank Nielsen, Olivier Schwander) (2017) (0)
- A note on the optimal scalar Bregman k-means clustering with an application to learning best statistical mixtures (2014) (0)
- An elementary introduction to information geometry 28 / 08 / 2018 Auteurs : (2019) (0)
- Planar p-center problems are solvable in polynomial time when clustering a Pareto Front (2019) (0)
- On the f -divergences between densities of a multivariate location or scale family (2022) (0)
- GSI'17 Opening session (2017) (0)
- Partial k-means to avoid outliers, mathematical programming formulations, complexity results (2023) (0)
- Bag-of-Components: An Online Algorithm for Batch Learning of Mixture Models (2015) (0)
- Algorithmes géométriques adaptatifs. (Output-sensitive Computational Geometry) (1996) (0)
- GSI'17-Closing session (2017) (0)
- A generalization of the $\alpha$-divergences based on comparable and distinct weighted means (2020) (0)
- Oral session 5 Bayesian inference (Frank Nielsen, John Skilling, Romke Brontekoe) (2014) (0)
- Fast Approximate Optimization in High Dimensions with Core-Sets and Fast Dimension Reduction (2016) (0)
- Information geometries and Microeconomic Theories (2009) (0)
- Preface of the 41st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (2023) (0)
- Schoenberg-Rao distances: Entropy-based and geometry-aware statistical Hilbert distances (2020) (0)
- On the Centroids of Symmetrized Bregman Divergences |Extended Abstract| (2007) (0)
- Parallel Algorithms for Graphs (2016) (0)
- Searching and Sorting (2009) (0)
- Product Jacobi-Theta Boltzmann machines with score matching (2023) (0)
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What Schools Are Affiliated With Frank Nielsen?
Frank Nielsen is affiliated with the following schools: