In the past, I have published in the area of sensory processing, motion perception and perceptual binding, signal detection theory and its application, stimulus-response compatibility and separating S-R components, aggregation of preference and social choice, reinforcement learning, information geometry and mathematical foundation of machine learning, and games and theory-of-mind.

 

 

(PUBLICATIONS LISTED IN CHRONOLOGICAL ORDER)

 

 

On sensory processing

 

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.

 

Zhang, J. (2005) A method to unconfound orientation and direction tunings in neuronal response to moving bars and gratings. Journal of Optical Society of America A. 22: 2246-2256.

 

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.

 

 

On motion perception and perceptual binding

 

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.

 

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).

 

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.

 

 

On stimulus-response compatibility and separating S-R components

 

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., 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.

 

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

 

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.

 

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.

 

 

 

On games and theory-of-mind

 

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). 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., Salerno, J. and Young, M. (Eds.) Social computing, behavioral modeling, and prediction. Springer.

 

 

 

On aggregation of preference 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.

 

                          

 

On information geometry and mathematical foundation of machine learning

 

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. 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. (2006). Referential duality and representational duality on statistical manifolds. Proceedings of the Second International Symposium on Information Geometry and Its Applications, Tokyo (pp 58-67).

 

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.

 

Calin, O., Matsuzoe, H., and Zhang, J. (2009). Generalization of conjugate connections. Proceedings of 9th International Workshop on Complex Structures, Integrability, and Vector Fields. 

 

Zhang, J. and Matsuzuo, H. (in press). Dualistic differential geometry associated with a convex function. To appear in a special volume in the Springer series of Advances in Mechanics and Mathematics.

 

Xu, Y., Zhang, H., and Zhang, J. (to appear) Reproducing kernel Banach spaces for machine learning. Journal of Machine Learning Research.

 

 

 

On signal detection theory and its application

 

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. 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, Pittsurgh, PA, 2006, (pp. 41-46).

 

 

 

On reinforcement learning

 

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. (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.

 

 

 

Articles Under Review/Revision/Preparation

 

 

Zhang, J. and Chen, L. (under revision) Characterizing projective geometry of binocular visual space through Mobius transformation. Submitted to Journal of Mathematical Psychology.

 

Zhang, J and Chang, M. (under revision) A Bayesian random-walk model of choice reaction times under prior knowledge of target onset uncertainty. Submitted to Proceedings of National Academy of Sciences,USA.

 

Zhang, J. (under revision) Nonparametric information geometry: Referential duality and representational duality on statistical manifolds. Submitted to Annals of Institute of Statistical Mathematics.

 

Stevens, G. and Zhang, J (under review). A dynamic systems model of infant attachment. Submitted to IEEE Transaction of Autonomous Mental Development

 

Park, J and Zhang, J, (under review) Sensorimotor locus of the buildup activity in monkey LIP neurons. Submitted to Journal of Computation Neuroscience.

 

Stern, E., Liu, Y., Gehring, W., Lister, J., Yin, G., Zhang, J., Fitzegerald, K., Himle, J., Abelson, J., Taylor, S. (under review). Chronic medication does not affect hyperactive error responses in obsessive-compulsive disorder.

 

Zhang, J., Hedden, T and Chai, A. (to be revised) Perspective-taking and depth of theory of mind reasoning in sequential-move matrix games.

 

Ying, G. and Zhang J. (in preparation). On decomposing stimulus and response waveforms in event-related potentials (ERP) recordings. 

 

Ying, G. and Zhang J. (in preparation). Explaining P3-anteriorization in a Go/Nogo task.

 

Zhang, H. and Zhang, J. (in preparation). The group of semi-inner products.

 

Zhang, J. (in preparation) A note on informative normalized maximum likelihood with data prior.

 

Zhang, J. (in preparation). Non-parametric estimate of SDT sensitivity from two data points.

 

Zhang, J. (in preparation). An analysis of causal power from the signal-detection framework 

 

Zhang, J. (in preparation). Dynamic programming under finite temperature: A note.

 

Zhang, J. (in preparation). Visual perception modeled as a differentiable manifold.

 

Zhang, J. (in preparation). Amortization: A functional equation approach