**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, 2 ^{nd}
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 9 ^{th} 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., *Social Computing,
Behavioral Modeling, and Prediction.* Springer (pp.
229-238).

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 21 ^{st} 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. I.*
pp.444-450. Morgan-Kaufmann
Publishers, San Mateo, CA.