*PUBLICATIONS BY TOPICS ***(click
on links below) **

Ř __PERCEPTION__

**1.
**__sensory encoding (receptive
field, tuning, map, etc)__

**2.
**__visual perception (binding, object
segregation, motion, etc)____ __

Ř __DECISION__

1.
__stimulus-response
compatibility (Fitts, Simon, Erikson, Hedge-Marsh, etc)__

2.
“decision” process (sensory-motor locus of neuron,
stimulus/response components in ERP)

Ř __LEARNING __

1.
reinforcement learning (dopamine, TD learning, action
policy, etc)

2.
classification and regularized learning (reproducing kernels,
feature map, etc)

1.
theory-of-mind recursive reasoning (“I think you think I think …”)

2.
game theory (prisoner’s dilemma, meta-game, rationality, etc)

1.
divergence function, convex duality

2.
non-parametric information geometry (Fisher metric and affine
connections)

3.
alpha-curvature

4.
arbitrary (rho-tau) embedding

5.
affine coordinates

6.
symplectic
structure, Kahler structure

7.
“**reference****-representation
bidualtiy**”

Ř __MATHEMATICAL PSYCHOLOGY
(various topics)__

1.
signal detection theory

2.
individual and social choice

3.
dynamical system

4.
probability theory

*(CLICK HERE
IF YOU WANT TO SEE PUBLICATIONS LISTED IN REVERSE CHRONOLOGICAL ORDER)*

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.

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 Miller, J.P. (1991). A mathematical model for hyperacuity in sensory systems. *Biological
Cybernetics*, **64**: 357-364.

Zhang,
J. (1991). Dynamics and formation of self-organizing
maps. *Neural Computation,* **3**: 54-66.

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.
(2005). A method to unconfound orientation and
direction tunings in neuronal response to moving bars and gratings. *Journal of Optical Society of *

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.** *

Zhang,
J. and Wu, S. (1990). Structure of visual perception.
*Proceedings of National Academy of Sciences, USA.*
**87**: 7819-7823.

Zhang,
J., Yeh, S.-L. and De
Valois, K.K. (1993). Motion contrast and motion integration. *Vision
Research,* **33**: 2721-2732.

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).

Zhang,
J. (1995). Motion detectors and motion segregation. *Spatial Vision*, **9**:
261-273.

Zhang,
J. (2005). Object oneness: the essence of the topological approach to
perception. *Visual Cognition, ***12**: 683-690.

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.

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.

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).

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.

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. (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.

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., 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. (1998). Decomposing stimulus and response component waveforms in ERP. *Journal
of Neuroscience Methods*, **80**: 49-63.

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.

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.

Park,
J and Zhang, J. (2010). Sensorimotor locus of the buildup
activity in monkey LIP neurons. *Journal of Neurophysiology*. **103**: 2664-2674.

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,
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 with English
summary).

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).

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.

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.

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.

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.

Chavez,
A. and Zhang, J. (2008). Metagame strategies of nation-states, with application to Cross-Strait
relations. In Liu, H.,

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.

Tindell, A.J., Berridge, K.C.,
Zhang, J., Pecińa, 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. (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. and Zhang, J. (2010). Generalized semi-inner products with application
to regularized learning. *Journal
of Mathematical Analysis and Application.* **372**: 181-196.

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.

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).

Zhang,
H. and Zhang, J. (2013). Vector-valued Reproducing Kernel Banach Spaces with applications to multi-task learning. *Journal
of Complexity*, **29**: 195-215.

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. (2005). Referential duality and representational
duality on statistical manifolds. *Proceedings of the Second International Symposium on Information
Geometry and Its Applications*,

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 (pp131-157).

Zhang J.
(2007). A note on curvature of a-connections of a statistical manifold. *Annals of the Institute of Statistical
Mathematics, ***59**: 161-170.

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.*

Zhang,
J. and Matsuzuo, H. (2009). Dualistic
differential geometry associated with a convex function. In Gao
D.Y. and Sherali, H.D. (Eds)
Advances in Applied Mathematics and Global Optimization (Dedicated to Gilbert Strang on
the Occasion of His 70^{th} Birthday), *Advances in Mechanics and Mathematics*, Vol. III, Chapter 13, Springer
(pp 437-464).

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,
J. (2014) Divergence functions and geometric structures they induce on a manifold.
In F. Nielsen (Ed). *Geometric Theory of
Information,* Springer (to appear).

Zhang,
J. (2014). Reference duality and representation duality
in information geometry. In Proceedings of Maximum
Entropy and Its Applications 2014.

SIGNAL
DETECTION THEORY

Zhang,
J. and Mueller, S. (2005).
A note on ROC analysis and non-parametric estimation of
sensitivity. *Psychometrika**.* **70**: 203-212.

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,*

INDIVIDUAL AND
SOCIAL CHOICE

Jones, M., Zhang, J. and Simpson, G. (2003). Aggregation of utility and social
choice: A topological characterization. *Journal
of Mathematical Psychology*, **47**:
545-556.

Zhang,
J. (2004). Binary
choice, subset choice, random utility, and ranking: A unified perspective using
the permutahedron. *Journal of Mathematical Psychology*, **48**: 107-134.

DYNAMICAL
SYSTEM

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.

Stevens,
G. and Zhang, J (2009). A dynamic systems model of infant
attachment. *IEEE
Transaction of Autonomous Mental Development*. **1**: 196-207.

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.

PROBABILITY
THEORY

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).