Fetching the paper…
Reading the bibliography…
We unify f-divergences, Bregman divergences, surrogate loss bounds (regret bounds), proper scoring rules, matching losses, cost curves, ROC-curves and information.
A Pluralistic Universe
William James · 1909
Earlier work this paper cites.
On the problem of the most efficient tests of statistical hypotheses
J. Neyman and E. S. Pearson · 1933
Earlier work this paper cites.
A mathematical theory of communication
C.E. Shannon · 1948
Earlier work this paper cites.
Statistical decision functions
Abraham Wald · 1949
Earlier work this paper cites.
Statistical Decision Functions
Abraham Wald · 1950
Earlier work this paper cites.
Comparison of Experiments
D. Blackwell · 1951
Earlier work this paper cites.
Equivalent Comparisons of Experiments
D. Blackwell · 1953
Earlier work this paper cites.
Theory of capacities
G. Choquet · 1953
Earlier work this paper cites.
Stieltjes integral representation of convex functions
W. B. Temple · 1954
Earlier work this paper cites.
An Introduction to Cybernetics
W. R. Ashby · 1956
Earlier work this paper cites.
Minimizing integrals in certain classes of monotone functions
H.D. Brunk, G.M. Ewing, and W.R. Utz · 1957
Earlier work this paper cites.
On the foundations of statistical inference: Binary experiments
Allan Birnbaum · 1961
Earlier work this paper cites.
Uncertainty, Information, and Sequential Experiments
M.H. DeGroot · 1962
Earlier work this paper cites.
Theoretical foundations of the potential function method in pattern recognition learning
M. A. Aizerman, É. M. Braverman, and L. I. Rozonoér · 1964
Earlier work this paper cites.
Sufficiency and Approximate Sufficiency
L. LeCam · 1964
Earlier work this paper cites.
Information and Information Stability of Random Variables and Processes
M.S. Pinsker · 1964
Earlier work this paper cites.
A general class of coefficients of divergence of one distribution from another
S.M. Ali and S.D. Silvey · 1966
Earlier work this paper cites.
Statistical Isomorphism
N. Morse and R. Sacksteder · 1966
Earlier work this paper cites.
Admissible probability measurement procedures
E. Shuford, A. Albert, and H.E. Massengill · 1966
Earlier work this paper cites.
The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
L.M. Bregman · 1967
Earlier work this paper cites.
Information-type measures of difference of probability distributions and indirect observations
I. Csiszár · 1967
Earlier work this paper cites.
The Divergence and Bhattacharyya Distance Measures in Signal Selection
T. Kailath · 1967
Earlier work this paper cites.
A Note on Statistical Equivalence
R. Sacksteder · 1967
Earlier work this paper cites.
Optimal Statistical Decisions
Morris H. DeGroot · 1970
Earlier work this paper cites.
Lower bound for discrimination information in terms of variation
S. Kullback · 1970
Earlier work this paper cites.
Convex Analysis
R. T. Rockafellar · 1970
Earlier work this paper cites.
Note on discrimination and variation
I. Vajda · 1970
Earlier work this paper cites.
Elicitation of personal probabilities and expectations
Leonard J. Savage · 1971
Earlier work this paper cites.
Theory of Distributions: The Sequential Approach
Piotr Antosik, Jan Mikusinski, and Roman Sikorski · 1973
Earlier work this paper cites.
The foundations of statistics — are there any?
J. Kiefer · 1977
Earlier work this paper cites.
Applications of Ali-Silvey Distance Measures in the Design of Generalized Quantizers for Binary Decision Systems
H. Vincent Poor and John B. Thomas · 1977
Earlier work this paper cites.
epsilon-equivalence of feature selection rules
M. Ben-Bassat · 1978
Earlier work this paper cites.
Information measures: A critical survey
I. Csiszár · 1978
Earlier work this paper cites.
Probability of error, expected divergence and the affinity of several distributions
G.T. Toussaint · 1978
Earlier work this paper cites.
Computers and Intractability: A Guide to the Theory of NP-Completeness
M.R. Garey and D.S. Johnson · 1979
Earlier work this paper cites.
Comparison of Experiments and Information Measures
P.K. Goel and M.H. DeGroot · 1979
Earlier work this paper cites.
Rank Transformations as a Bridge Between Parametric and Nonparametric Statistics
W.J. Conover and R.L. Iman · 1981
Earlier work this paper cites.
History of Functional Analysis
Jean Dieudonné · 1981
Earlier work this paper cites.
Divergenzen von Wahrscheinlichkeitsverteilungen — Integralgeometrisch Betrachtet
F. Österreicher and D. Feldman · 1981
Earlier work this paper cites.
Introduction to the Theory of Distributions
F.G. Friedlander · 1982
Earlier work this paper cites.
The meaning and use of the area under a receiver operating characteristic (ROC) curve
J.A. Hanley and B.J. McNeil · 1982
Earlier work this paper cites.
Theory of Statistical Experiments
H. Heyer · 1982
Earlier work this paper cites.
Measuring information beyond communication theory — why some generalized information measures maye be useful, others not
J. Aczél · 1984
Earlier work this paper cites.
Probability metrics
V.M. Zolotarev · 1984
Earlier work this paper cites.
Statistical Decision Theory and Bayesian Analysis
James O. Berger · 1985
Earlier work this paper cites.
Mathematical Theory of Statistics
Helmut Strasser · 1985
Earlier work this paper cites.
Asymptotic Methods in Statistical Decision Theory
Lucien LeCam · 1986
Earlier work this paper cites.
On the relationship between the information measures and the Bayes probability of error
Jovan D.J. Golic · 1987
Earlier work this paper cites.
Introduction to Statistical Inference
Jack Carl Kiefer · 1987
Earlier work this paper cites.
Radically Elementary Probability Theory
E. Nelson · 1987
Earlier work this paper cites.
A note on f f -divergences
D. Feldman and F. Österreicher · 1989
Earlier work this paper cites.
Learning binary relations and total orders
S.A. Goldman, R.L. Rivest, and R.E. Schapire · 1989
Earlier work this paper cites.
Generalized Linear Models
P. McCullagh and J.A. Nelder · 1989
Earlier work this paper cites.
A General Method for Comparing Probability Assessors
M.J. Schervish · 1989
Earlier work this paper cites.
Inductive principles of the search for empirical dependences (methods based on weak convergence of probability measures)
V. N. Vapnik · 1989
Earlier work this paper cites.
On applications of the representation of f f -divergences as averaged minimal Bayesian risk
Cornelius Gutenbrunner · 1990
Earlier work this paper cites.
Scoring rules and the evaluation of probabilities
R. Winkler, Javier Muñoz, José Cervera, José Bernardo, Gail Blattenberger, Joseph Kadane, Dennis Lindley, Allan Murphy, Robert Oliver, and David Ríos-Insua · 1990
Earlier work this paper cites.
Duality relationships for entropy-like minimization problems
JM Borwein and AS Lewis · 1991
Earlier work this paper cites.
Probability metrics and the stability of stochastic models
S.T. Rachev · 1991
Earlier work this paper cites.
Comparison of Statistical Experiments
E.N. Torgersen · 1991
Earlier work this paper cites.
Epistemological pluralism and the revaluation of the concrete
Sherry Turkle and Seymour Papert · 1992
Earlier work this paper cites.
Time and Conditional Independence
P. Harremoës · 1993
Earlier work this paper cites.
Statistical information and discrimination
F. Österreicher and I. Vajda · 1993
Earlier work this paper cites.
Deconstructing Statistical Questions
D.J. Hand · 1994
Earlier work this paper cites.
The Bayesian Choice: A Decision-Theoretic Motivation
Christian P. Robert · 1994
Earlier work this paper cites.
Support-vector networks
C. Cortes and V. Vapnik · 1995
Earlier work this paper cites.
Generalized projections for non-negative functions
I. Csiszár · 1995
Earlier work this paper cites.
Structure and Interpretation of Computer Programs
H. Abelson, G.J. Sussman, and J. Sussman · 1996
Earlier work this paper cites.
Weighted Parzen Windows for Pattern Classification
G.A. Babich and O.I. Camps · 1996
Earlier work this paper cites.
Fat-shattering and the learnability of real-valued functions
Peter L. Bartlett, Philip M. Long, and Robert C. Williamson · 1996
Earlier work this paper cites.
Asymptotic Equivalence of Nonparametric Regression and White Noise
L.D. Brown and M.G. Low · 1996
Cited alongside, same era.
A Probabilistic Approach to Pattern Recognition
Luc Devroye, László Györfi, and Gábor Lugosi · 1996
Cited alongside, same era.
Knowledge discovery and data mining: Towards a unifying framework
Usama Fayyad, Gregory Piatetsky-Shapiro, and Padhraic Smyth · 1996
Cited alongside, same era.
A plug-in approach to support estimation
Antonio Cuevas and Ricardo Fraiman · 1997
Cited alongside, same era.
Discriminative vs Informative Learning
Y.D. Rubinstein and T. Hastie · 1997
Cited alongside, same era.
On regularization in superreflexive Banach spaces by infimal convolution formulas
M. Cepedello-Boiso · 1998
Cited alongside, same era.
Game theory, maximum entropy, minimum discrepancy and robust bayesian decision theory
Peter D. Grünwald and A. Phillip Dawid · 2004
Later among the works it cites.
Towards a unification of information theoretic learning and kernel methods
R. Jenssen, D. Erdogmus, J.C. Principe, and T. Eltoft · 2004
Later among the works it cites.
Proper Use of ROC Curves in Intrusion/Anomaly Detection
R. A. Maxion and R. R. Roberts · 2004
Later among the works it cites.
Variational Analysis
R. Tyrrell Rockafellar and Roger J-B. Wets · 2004
Later among the works it cites.
Error limiting reductions between classification tasks
A. Beygelzimer, V. Dani, T. Hayes, J. Langford, and B. Zadrozny · 2005
Later among the works it cites.
Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities
F. Bolley and C. Villani · 2005
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
PDDL Specification, 1998
M. Ghallab, A. Howe, C. Knoblock, D. McDermott, A. Ram, M. Veloso, D. Weld, and D. Wilkins · 1998
Cited alongside, same era.
Comparative Statistical Inference
Vic Barnett · 1999
Cited alongside, same era.
Sorting Things Out: Classification and its Consequences
Geoffrey C. Bowker and Susan Leigh Star · 1999
Cited alongside, same era.
MetaCost: a general method for making classifiers cost-sensitive
P. Domingos · 1999
Cited alongside, same era.
Relative loss bounds for single neurons
D.P. Helmbold, J. Kivinen, and M.K. Warmuth · 1999
Cited alongside, same era.
Learning in Graphical Models
M.I. Jordan · 1999
Cited alongside, same era.
Later among the works it cites.
Memory practices in the sciences
G.C. Bowker · 2005
Later among the works it cites.
Loss Functions for Binary Class Probability Estimation and Classification: Structure and Applications
Andreas Buja, Werner Stuetzle, and Yi Shen · 2005
Later among the works it cites.
Information Geometry and Statistical Pattern Recognition
Shinto Eguchi · 2005
Later among the works it cites.
Repairing Concavities in ROC Curves
Peter A. Flach and Shaomin Wu · 2005
Later among the works it cites.
A symmetric information divergence measure of the Csiszár’s f f -divergence class and its bounds
P. Kumar and S. Chhina · 2005
Later among the works it cites.
Sensitive error correcting output codes
J. Langford and A. Beygelzimer · 2005
Later among the works it cites.
Estimating class membership probabilities using classifier learners
John Langford and Bianca Zadrozny · 2005
Later among the works it cites.
An Alternative Mathematical Foundation for Statistics
R. Lutz and M. Musio · 2005
Later among the works it cites.
Discriminative models, not discriminative training
T. Minka · 2005
Later among the works it cites.
On distance measures, surrogate loss functions, and distributed detection
X. Nguyen, M.J. Wainwright, and M.I. Jordan · 2005
Later among the works it cites.
Loss Functions for Binary Classification and Class Probability Estimation
Yi Shen · 2005
Later among the works it cites.
Density level detection is classification
I. Steinwart, D. Hush, and C. Scovel · 2005
Later among the works it cites.
Algorithmic learning in a random world
V. Vovk, A. Gammerman, and G. Shafer · 2005
Later among the works it cites.
An information-theoretic perspective to kernel independent component analysis
Jian-Wu Xu, Deniz Erdogmus, Robert Jenssen, and José C. Príncipe · 2005
Later among the works it cites.
Unifying Divergence Minimization and Statistical Inference via Convex Duality
Y. Altun and A. Smola · 2006
Later among the works it cites.
Considering Cost Asymmetry in Learning Classifiers
F.R. Bach, D. Heckerman, and E. Horvitz · 2006
Later among the works it cites.
Modularity in the design of complex engineering systems
Carliss Y. Baldwin and Kim B. Clark · 2006
Later among the works it cites.
Convexity, classification, and risk bounds
P.L. Bartlett, M.I. Jordan, and J.D. McAuliffe · 2006
Later among the works it cites.
Integrating structured biological data by Kernel Maximum Mean Discrepancy
K.M. Borgwardt, A. Gretton, M.J. Rasch, H.P. Kriegel, B. Schölkopf, and A.J. Smola · 2006
Later among the works it cites.
Making machine learning more scientific
Olivier Bousquet · 2006
Later among the works it cites.
Kernel methods and the exponential family
S. Canu and A. Smola · 2006
Later among the works it cites.
Subset ranking using regression
David Cossock and Tong Zhang · 2006
Later among the works it cites.
Discriminative vs. generative classifiers for cost sensitive learning
C. Drummond · 2006
Later among the works it cites.
Cost curves: An improved method for visualizing classifier performance
C. Drummond and R.C. Holte · 2006
Later among the works it cites.
Roc graphs with instance-varying costs
Tom Fawcett · 2006
Later among the works it cites.
Some equivalences between kernel methods and information theoretic methods
R. Jenssen, D. Erdogmus, J.C. Príncipe, and T. Eltoft · 2006
Later among the works it cites.
Predicting Conditional Quantiles via Reduction to Classification
J. Langford, R. Oliveira, and B. Zadrozny · 2006
Later among the works it cites.
Machine learning reductions tutorial
John Langford · 2006
Later among the works it cites.
Principled Hybrids of Generative and Discriminative Models
J.A. Lasserre, C.M. Bishop, and T.P. Minka · 2006
Later among the works it cites.
Ordinal regression by extended binary classification
Ling Li and Hsuan-Tien Lin · 2006
Later among the works it cites.
On divergences and informations in statistics and information theory
F. Liese and I. Vajda · 2006
Later among the works it cites.
Discriminative learning can succeed where generative learning fails
P.M. Long and R.A. Servedio · 2006
Later among the works it cites.
Discriminative learning can succeed where generative learning fails
P.M. Long, R.A. Servedio, and H.U. Simon · 2006
Later among the works it cites.
The Music of Life: Biology Beyond the Genome
Denis Noble · 2006
Later among the works it cites.
PAC Classification based on PAC Estimates of Label Class Distributions
N. Palmer and P.W. Goldberg · 2006
Later among the works it cites.
Kernel principal components are maximum entropy projections
António R.C. Pavia, Jian-Wu Xu, and José C. Príncipe · 2006
Later among the works it cites.
Markov logic networks
M. Richardson and P. Domingos · 2006
Later among the works it cites.
An ontology of scientific experiments
L.N. Soldatova and R.D. King · 2006
Later among the works it cites.
How to compare different loss functions and their risks
Ingo Steinwart · 2006
Later among the works it cites.
Between truth and description
Flemming Topsøe · 2006
Later among the works it cites.
Estimation of Dependences Based on Empirical Data
V. Vapnik · 2006
Later among the works it cites.
Multiclass classification with filter trees
Alina Beygelzimer, John Langford, and Pradeep Ravikumar · 2007
Later among the works it cites.
MLInterfaces: Towards uniform Behaviour of Machine Learning Tools in R
V.J. Carey, J. Mar, and R. Gentleman · 2007
Later among the works it cites.
The geometry of proper scoring rules
A.P. Dawid · 2007
Later among the works it cites.
Strictly proper scoring rules, prediction, and estimation
Tilmann Gneiting and Adrian E. Raftery · 2007
Later among the works it cites.
The Minimum Description Length Principle
Peter D. Grünwald · 2007
Later among the works it cites.
Convex solutions of a functional equation arising in information theory
J.-B. Hiriart-Urruty and J.-E. Martínez-Legaz · 2007
Later among the works it cites.
NP-Completeness Columns
David S. Johnson · 2007
Later among the works it cites.
Confliction of the Convexity and Metric Properties in f f -Divergences
Mohammadali Khosravifard, Dariush Fooladivanda, and T. Aaron Gulliver · 2007
Later among the works it cites.
Alternative machine learning reductions definitions
John Langford · 2007
Later among the works it cites.
Information and Complexity in Statistical Modelling
Jorma Rissanen · 2007
Later among the works it cites.
Regression Level Set Estimation via Cost-Sensitive Classification
C. Scott and M. Davenport · 2007
Later among the works it cites.
How to compare different loss functions and their risks
Ingo Steinwart · 2007
Later among the works it cites.
Grothendieck’s relative point of view
Wikipedia · 2007
Later among the works it cites.
The proximal average: Basic theory
H. H. Bauschke, R. Goebel, Y. Lucet, and X. Wang · 2008
Later among the works it cites.
Machine learning techniques — reductions between prediction quality metrics
Alina Beygelzimer, John Langford, and Bianca Zadrozny · 2008
Later among the works it cites.
A Kernel Method for the Two-Sample-Problem
A. Gretton, K.M. Borgwardt, M. Rasch, B. Schölkopf, and A.J. Smola · 2008
Later among the works it cites.
Comment on “The skill-plot: A graphical technique for evaluating continuous diagnostic tests”
David J. Hand · 2008
Later among the works it cites.
Self-financed wagering mechanisms for forecasting
Nicolas Lambert, John Langford, Jennifer Wortman, Yiling Chen, Daniel Reeves, Yoav Shoham, and David Pennock · 2008
Later among the works it cites.
Statistical Decision Theory
Friedrich Liese and Klaus-J. Miescke · 2008
Later among the works it cites.
Discriminative estimation of f f -divergence
Le Song, Mark D. Reid, Alexander J. Smola, and Robert C. Williamson · 2008
Later among the works it cites.
Support Vector Machines
Ingo Steinwart and Andreas Christmann · 2008
Later among the works it cites.
Dualistic riemannian manifold structure induced from convex functions
Jun Zhang and Hiroshi Matsuzoe · 2008
Later among the works it cites.
Parametric estimation and tests through divergences and the duality technique
Michel Broniatowski and Amor Keziou · 2009
Closest in time.