Publications (in
reverse chronological order)
2018
Zhang, J. and Fei, T. (under review). (Para-)Kahler Structure in Information Geometry. IGAIA4
Proceedings.
Naudts, J. and Zhang, J. (under review).
Information geometry under monotone embedding. Information Geometry.
Lei, Y. and Zhang. J. (under
review). Limit and convergence of a sequence. Journal of Mathematical
Psychology.
2017
Fei, T. and Zhang, J. (2017). Interaction
of Codazzi couplings with (para)-Kahler geometry. Results
in Mathematics. Eprint published July 6, 2017.
Leok,
M. and Zhang, J. (2017). Connecting information geometry to geometric
mechanics. Entropy.
Zhang, J.
and Naudts, J. (2017). Information geometry under
monotone embedding.Part I:
divergence functions. In Nielson, F. and Barbaresco,
F. (Eds), Geometric
Science of Information, GSI2017. LNCS
10589, Springer (pp. 205-214).
Naudts, J. and Zhang, J. (2017). Information geometry
under monotone embedding.Part
II: geometry. In Nielson, F. and Barbaresco,
F. (Eds), Geometric
Science of Information, GSI2017. LNCS
10589, Springer (pp. 215-222).
Grigorian, S. and Zhang, J. (2017). (Para)-holomorphic
connections for information geometry. In Nielson, F.
and Barbaresco, F. (Eds), Geometric Science of Information, GSI2017.
LNCS 10589, Springer (pp. 186-194).
Zhang, H. and Zhang, J. (2017). Learning with
reproducing kernel Banach spaces. New Trends in Analysis and Interdisciplinary
Applications. Springer.
Zhang, J. and Zhang, H. (2017). Categorization based on
similarity and features: The reproducing kernel Banach
space (RKBS) approach. In W. Batchelder, H. Colonius, E.N. Dzhafarov, and J. Myung (Eds.) New Handbook of Mathematical Psychology, Volume 2, Springer.
2016
Tao,
J. and Zhang, J. (2016). Transformations and coupling
relations for affine connections. Differential
Geometry and Its Applications, 49: 111-130.
Zhang,
J. and Sun, Y. (2016). Subset systems: Mathematical abstraction of object
and context. In J. Houpt and L. Blaha
(Eds.). Mathematical Models of Perception
and Cognition, Volume I: A Festschrift for James T. Townsend. Psychological
Press.
Zhang,
J. and Ilin, R. (2016). Modeling uncertainty,
context, and information fusion via lattice-based probability. In Chichilnisky G. and Rezai A. (Eds). The
Economics of the Global Environment – Catastrophic Risks in Theory and
Practice. Springer.
2015
Zhang, J. (2015). On monotone embedding in information geometry. Entropy, 17: 4485-4489.
Tao, J. and Zhang, J.
(2015). Transformation and coupling of relations for
affine connections. In Nielson, F. and Barbaresco, F. (Eds), Geometric Science of Information, 2nd
International Conference GSI2015, LNCS 9389, Springer (pp. 326-339).
Zhang,
J. (2015). Reference duality and representation duality
in information geometry. In Bayesian Inference and Maximum Entropy Methods in Science and
Engineering (MaxEnt2014), Vol. 1641 (pp130-146). AIP Publishing.
Ilin,
R. and Zhang, J. (2015). Information fusion with
topological event spaces. In Proceedings of International
Conference on Information Fusion FUSION’2015, IEEE (pp. 2092-2099).
2014
Zhang,
J. (2014) Divergence functions and geometric structures they induce on a
manifold. In F. Nielsen (Ed). Geometric Theory of Information, Springer (pp. 1-30).
Ilin, R. and Zhang, J. (2014). Information fusion with
uncertainty modeled on topological event spaces. Proceedings of IEEE Symposium on Foundation
of Computation Intelligence, FOCI 2014, (pp 1-8).
Ilin, R., Zhang, J., Perlovsky,
L., and Kozma, R. (2014). Vague-to-crisp dynamics
of percept formation modeled as operant (selectionist)
process. Cognitive Neurodynamics, 8: 71-80.
2013
Zhang, J. (2013).
Nonparametric information geometry: From divergence function to
referential-representational biduality on statistical
manifolds. Entropy, 15: 5384-5418.
Zhang, J. and
Li, F. (2013). Symplectic and Kahler
structures on statistical manifolds induced from divergence functions. Proceedings of the First
International Conference on Geometric Science of Information GSI2013,
Nielson, F. and Barbaresco, F. (Eds),
(pp. 595-603).
Zhang,
H. and Zhang, J. (2013). Vector-valued Reproducing Kernel Banach Spaces with applications to multi-task learning. Journal
of Complexity, 29: 195-215.
Jung, E. K., Zhang, J, Lee, S-Y, and Lee,
J-H (2013). A preliminary study on neural basis of collaboration as mediated by
the level of reasoning. Neural
Information Processing, Proceedings
of the 20th International Conference on Neural Information Processing
(ICONIP2013), Daegu, Korea. Springer, Berlin Heidelberg (pp.50-56).
Zhang,
J. and Yin, G. (2013). A method to decompose stimulus and
response components in event-related potential (ERP) recordings. In
Z. Lu and Y. Luo (Eds). Progress in
Cognitive Science: From Cellular Mechanisms to Computational Theories. Peking University Press.
2012
Zhang,
J., Hedden, T and Chai, A. (2012).
Perspective-taking and depth of theory of mind reasoning in sequential-move games.
Cognitive Science, 36: 560-573.
Zhang,
H. and Zhang, J. (2012). Regularized learning in Banach
space as an optimization problem: Representer
theorems. Journal of
Global Optimization, 54: 235-250
(e-print published 11 July 2010).
Yenduri, P.K., Zhang, J., and Gilbert, A. (2012).
Integrate-and-fire neuron modeled as a low-rate sparse time-encoding device. Proceedings of the Third
International Conference on Intelligent Control and Information Processing,
ICICIP 2012, pp 507-512.
2011
Yin, G. and Zhang J. (2011). On
decomposing stimulus and response waveforms in event-related potentials (ERP)
recordings. IEEE Transactions on
Biomedical Research, 58:
1534-1545.
Zhang,
H. and Zhang, J. (2011). Frames, Riesz
bases, and sampling expansions in Banach spaces via
semi-inner products. Applied and
Computational Harmonic Analysis, 31:
1-25.
2010
Zhang,
H. and Zhang, J. (2010). Generalized semi-inner products with application
to regularized learning. Journal of
Mathematical Analysis and Application, 372:
181-196.
Park,
J and Zhang, J. (2010). Sensorimotor locus of the buildup
activity in monkey LIP neurons. Journal of Neurophysiology. 103: 2664-2674.
Stern,
E., Liu, Y., Gehring, W., Lister, J., Yin, G., Zhang,
J., Fitzgerald, K., Himle, J., Abelson, J., and
Taylor, S. (2010). Chronic medication does not affect hyperactive error
responses in obsessive-compulsive disorder. Psychophysiology,
47: 913-920.
2009
Zhang,
J. (2009). Adaptive learning via selectionism
and Bayesianism. Part I: A connection. Neural Networks, 22: 220-228.
Zhang,
J. (2009). Adaptive learning via selectionism and
Bayesianism Part II: The sequential case. Neural Networks, 22: 229-236.
Zhang,
J. Tindell, A.J., Berridge,
K.C., Zhang, J., and Aldridge, J.W. (2009). A neural
computational model of incentive salience. PLoS Computational Biology, 5:
1-14.
Zhang,
H., Xu, Y., and Zhang, J. (2009). Reproducing
kernel Banach spaces for machine learning. Journal of Machine Learning Research, 10: 2741-2775.
Zhang,
H., Xu, Y, and Zhang, J. (2009). Reproducing
kernel Banach spaces for machine learning. Proceedings of the 2009
International Joint Conference on Neural Networks, IJCNN2009, Atlanta, Georgia,
USA (pp.3520-3527).
Yin, G., Zhang, J., Tian, Y. and Yao,
D-Z. (2009). A
multi-component decomposition algorithm for event-related potentials. Journal of Neuroscience Methods, 178: 219-227.
Stevens,
G. and Zhang, J (2009). A dynamic systems model of infant
attachment. IEEE
Transaction of Autonomous Mental Development. 1: 196-207.
He, L., Zhang, J., Zhou, T. and Chen, L. (2009).
Connectedness affects dot numerosity judgment:
implications for configural processing. Psychonomic Bulletin and Review, 16: 509-517.
Calin, O., Matsuzoe, H., and Zhang, J. (2009). Generalization of conjugate connections. Proceedings of 9th International Workshop
on Complex Structures, Integrability, and Vector
Fields (pp 26-34).
2008
Zhou, T., Zhang, J. and Chen, L. (2008). Neural
correlation of “global-first” topological perception: Anterior temporal lobe. Brain Imaging and Behavior, 2: 309-317.
Chavez,
A. and Zhang, J. (2008). Metagame strategies of nation-states, with application to Cross-Strait
relations. In Liu, H.,
Berridge, K., Zhang, J., and Aldridge, W. (2008).
Computing motivation: Incentive salience boosts of drug or appetite states. Behavioral Brain Science, 31: 440-441.
2007
Zhang J. (2007). A note on curvature of a-connections
of a statistical manifold. Annals of the Institute of Statistical Mathematics. 59: 161-170.
Wei, H., Zhang, J., Cousseau, F., Ozeki, T., and Amari, S. (2007).
Dynamics of learning near singularities in layered network.
Neural Computation, 20: 813-843.
2006
Zhang,
J. and Hasto, P. (2006). Statistical manifold as
an affine space: A functional equation approach. Journal of Mathematical Psychology, 50: 60-65.
Zhang,
J. (2006). Referential duality and representational
duality in the scaling of multi-dimensional and infinite-dimensional stimulus
space. In Dzhafarov, E. and Colonius, H. (Eds.) Measurement
and Representation of Sensations: Recent Progress in Psychological Theory. Lawrence
Erlbaum Associates, Mahwah, NJ (pp.131-157).
Mueller,
S. and Zhang, J. (2006). Upper
and lower bounds of area under ROC curves and index of discriminability of
classifier performance. Proceedings
of ICML2006 - Workshop on ROC Analysis in Machine Learning, Pittsburgh,
2005
Zhang,
J. (2005). Object oneness: the essence of the topological approach to
perception. Visual Cognition, 12: 683-690.
Zhang, J. (2005).
A method to unconfound orientation and direction tunings
in neuronal response to moving bars and gratings. Journal of Optical Society of
Zhang,
J. and Mueller, S. (2005). A note on ROC analysis and
non-parametric estimation of sensitivity. Psychometrika,70: 203-212.
Tindell, A.J., Berridge, K.C.,
Zhang, J., Peciña, S., and Aldridge, J.W. (2005).
Ventral pallidal neurons code incentive motivation:
effects of mesolimbic activation. European
Journal of Neuroscience, 22: 2617-2634.
Zhang,
J. (2005). Referential duality and representational
duality on statistical manifolds. Proceedings of the Second International Symposium on Information
Geometry and Its Applications,
2004
Zhang,
J. (2004). Divergence function, duality, and convex
analysis. Neural Computation, 16: 159-195.
Zhang,
J. (2004). Dual scaling between comparison and reference
stimuli in multidimensional psychological space. Journal of Mathematical Psychology, 48: 409-424.
Zhang,
J. (2004). Binary
choice, subset choice, random utility, and ranking: A unified perspective using
the permutahedron. Journal of Mathematical Psychology, 48: 107-134.
Jones,
M. and Zhang, J. (2004). Rationality and bounded information in repeated
games, with application to the Iterated Prisoner’s Dilemma. Journal of Mathematical Psychology, 48: 334-354.
2003
Jones, M., Zhang, J. and Simpson, G. (2003). Aggregation of utility and social choice: A topological characterization. Journal of Mathematical Psychology, 47: 545-556.
Jones, M. and
Zhang, J. (2003). Which is to blame: Instrumental rationality or common
knowledge? Comments to “Cooperation, psychological games
theory, and limitations of rationality in social interaction” by A. Colman.
Brain and Behavioral Science, 26: 166-167.
Zhang,
J. and Hedden, T. (2003). Two paradigms for depth
of strategic reasoning in games: Response to Colman. Trends
in Cognitive Sciences, 7: 4-5.
2002
Hedden, T. and Zhang, J. (2002). What do you
think I think you think? Theory of mind and strategic
reasoning in matrix games. Cognition, 85: 1-36.
2001
Zhang,
J. (2001). Dimension overlap and S-S and S-R compatibility: A structural
model. In L. Chen and Y. Zhuo (Eds.) Proceedings
of the Third International Conference on Cognitive Science (ICCS2001), Heifei, China: Press of University of Science and
Technology of China (pp 377-381).
1999
Zhang, H., Zhang, J. and Kornblum, S.
(1999). An interactive activation model of stimulus-stimulus and
stimulus-response compatibility. Cognitive Psychology, 38:
386-432.
Zhang,
J. (1999). A game-theoretic analysis of the political
situation across Taiwan Strait. In J. Zhang and Y. Yu (Eds), Taiwan in the 21st Century: the
Mainland Chinese Scholars Looking Ahead, Global Publishing Co., River Edge,
New Jersey (pp 217-236, in Chinese).
Zhang,
J. (1999). A note on Lefebvre's reflexive function. In V.A. Lefebvre (Ed.) Proceedings of
the Workshop on Multi-Reflexive Models of Agent Behavior, ARL-SR-64,
U.S. Army Research Lab (pp.109-110).
1998
Zhang,
J. (1998). Decomposing stimulus and response component waveforms in ERP. Journal
of Neuroscience Methods, 80: 49-63.
1997
Zhang,
J., Riehle, A. and Requin,
J. (1997). Locus of a neural process in stimulus-response
association tasks. Journal of Mathematical Psychology, 41:
219-236.
Zhang,
J., Riehle, A., Requin, J.
and Kornblum, S. (1997). Dynamics of single
neuron activity in primary motor cortex related to sensorimotor transformation.
Journal of Neuroscience, 17: 2227-2246.
Zhang,
J. and Kornblum, S. (1997). Distributional
analysis, and De Jong et al.'s (1994) dual process model of the "Simon
effect". Journal of Experimental Psychology: Human Perception
and Performance, 23: 1543-1551.
1995
Zhang,
J. (1995). Motion detectors and motion segregation. Spatial Vision, 9: 261-273.
Zhang, H.,
Kornblum, S. and Zhang, J. (1995). Utilization of
stimulus-response and stimulus-stimulus compatibility principles in machine
design.
In K. Cox, J. Marsh, and B. Anderson (Eds.) Proceedings of the First
International Cognitive Technology Conference, Hong Kong: City University
of Hong Kong (pp. 151-157).
1994
Skottun, B., Zhang, J. and Grosof,
D. (1994). On the direction selectivity of cortical neurons
to drifting dot patterns. Visual Neuroscience, 11:
885-897.
Zhang, J. (1994) Image representation using affine covariant
coordinates. In O, Y.-L., Toet, A., Foster,
D., Heijmans, H.J.A.M., and Meer, P. (Eds.) Shape
in Picture: Mathematical Description of Shape in Grey-Level Images,
Springer-Verlag, Berlin (pp.353-362).
1993
Zhang,
J., Yeh, S.-L. and De
Valois, K.K. (1993). Motion contrast and motion integration. Vision
Research, 33: 2721-2732.
1991
Zhang,
J. (1991). Dynamics and formation of self-organizing
maps. Neural Computation, 3: 54-66.
Zhang,
J. and Miller, J.P. (1991). A mathematical model for hyperacuity in sensory systems. Biological
Cybernetics, 64: 357-364.
1990
Zhang,
J. (1990). How to unconfound orientational and directional information in visual
neuron's response. Biological Cybernetics, 63: 135-142.
Zhang,
J. (1990). Dynamical self-organization and formation of
cortical maps. In Proceedings of International Joint Conference on
Neural Networks, San Diego, 1990, Vol. III, pp. 487-492.
Zhang,
J. and Wu, S. (1990). Structure of visual perception.
Proceedings of National Academy of Sciences, USA.,
87: 7819-7823.
1989
Zhang, J. and Miller, J.P. (1989). A model for resolution enhancement (hyperacuity)
in sensory representation. In Touretzky, D.
(Ed.) Advances in Neural Network Information Processing System.