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  <channel>
    <title>Notebooks   </title>
    <link>http://bactra.org/notebooks</link>
    <description>Cosma's Notebooks</description>
    <language>en</language>

  <item>
    <title>Neural Control of Action, Especially of Rapid Motor Sequences</title>
    <link>http://bactra.org/notebooks/2009/04/10#seriatim</link>
    <description>
&lt;P&gt;I got interested in this subject because of &lt;a href=&quot;wm-calvin.html&quot;&gt;William
Calvin&lt;/a&gt;'s &quot;projectile theory of consciousness&quot; or &quot;throwing theory of
thought&quot;; his reasoning is something like this.  Throwing something at a small
moving target (even a large, distant moving target) needs very accurate motor
control, particularly timing; doubling the distance of the throw can reduce the
acceptable launch window by a factor of eight.  In fact it happens too fast to
be controlled by feedback from the muscles, and the precision seems to be
beyond that of a single neuron, which is apt to be quite noisy.  The obvious
solution is to average lots of the neurons.  The obvious problem is that,
normally, noise will go down as the square of the number of neurons you average
over, so an eight-fold reduction in noise needs a sixty-four fold increase in
the number of neurons, and this is a lot of metabolically expensive brain to
dedicate to lobbing rocks.  Calvin's ingenious idea is that the needed neurons
could be recruited as needed, and released for other tasks when not harassing
the wild-life.  He supposes that there are many different &quot;sequencing tracks,&quot;
each one of which carries one particular candidate sequence of muscle commands,
and that these are &quot;shaped up&quot; by a &lt;a href=&quot;darwin-machines.html&quot;&gt;Darwinian
process&lt;/a&gt;, i.e. better-rated ones get copied into more tracks at the expense
of the less favored, with occasional mutations, so that eventually all the
tracks contain clones or near-clones of a single, highly-rated sequence, which
is then executed.  

&lt;P&gt;Now once you have the neural machinery for this kind of sequence-generation,
it's not such a stretch to imagine that your descendants will turn it to other
uses.  And a &lt;em&gt;lot&lt;/em&gt; of what we do that is characteristically human ---
speech, music, stories, poetry, planning, consciousness, composition of Web
pages (I never said these were all &lt;em&gt;admirable&lt;/em&gt;) ---- involves combining
units into strings, with a good deal of trial and error, some of it even
conscious.  Calvin suggests that, in fact, Darwin Machines which originally
evolved for throwing and similar ballistic motion were adapted to all these
roles.  I think this is a neat idea which ought to be followed up, and in
particular I'd like to know if it leads to any specific predictions about the
effects of brain lesions (say, damage to the planning tracks distrupting
&lt;em&gt;all&lt;/em&gt; those functions, but damage to the connections to memory of one or
another leaving the rest intact), and how, if at all, it can be squared with
what we know about grammar.  (I'd also like to know whether it has any
connection with the ideas about &quot;strings and sequences&quot; William James puts
forth in the last chapter of his &lt;cite&gt;Psychology,&lt;/cite&gt; but that's because I
suspect James anticipated &lt;em&gt;everything.&lt;/em&gt;)  Of course even if Calvin's
specific idea about how action is controlled turns out to be wrong, a more
general notion that higher cognitive functions use the same kind of machinery
as motion control could still be true.

&lt;P&gt;Originally, Calvin proposed that the evaluation was done against some kind
of stored memories of what had worked well in the past.  More recent work in
cognitive neuroscience, especially functional neuroimaging, shows that learning
to use tools or perform actions creates &quot;forward models&quot; in the brain, circuits
which can evaluate the consequences of possible lines of action.  These would
serve very nicely as the evaluators in his Darwin machines, at least for
motion.

&lt;ul&gt;Recommended:
	&lt;li&gt;William Calvin
		&lt;ul&gt;
		&lt;li&gt;&lt;cite&gt;The Cerebral Symphony: Seashore Reflections on the
Structure of Consciousness&lt;/cite&gt; [&lt;a
href=&quot;http://www.williamcalvin.com/bk4/bk4.htm&quot;&gt;on-line&lt;/a&gt;]
		&lt;li&gt;&quot;The Brain as a Darwin Machine,&quot; &lt;cite&gt;Nature&lt;/cite&gt;
&lt;strong&gt;330&lt;/strong&gt; (1987): 33--34 [&lt;a
href=&quot;http://WilliamCalvin.com/1980s/1987Nature.pdf&quot;&gt;PDF&lt;/a&gt;]
		&lt;/ul&gt;
	&lt;li&gt;William Calvin and Derek Bickerton, &lt;cite&gt;Lingua ex Machina&lt;/cite&gt;
[&lt;a href=&quot;http://www.williamcalvin.com/LEM/&quot;&gt;website&lt;/a&gt;]
	&lt;li&gt;Christian Ethier, Laurent Brizzi, Warren G. Darling and
Charles Capaday, &quot;Linear Summation of Cat Motor Cortex Outputs&quot;,
&lt;a href=&quot;http://dx.doi.org/10.1523/JNEUROSCI.5332-06.2006&quot;&gt;&lt;cite&gt;The Journal
of Neuroscience&lt;/cite&gt; &lt;strong&gt;26&lt;/strong&gt; (2006): 5574--5581&lt;/a&gt; [Thanks
to Prof. Capaday for a reprint]
	&lt;li&gt;Hiroshi Imamizu, Satoru Miyauchi, Tomoe Tamada, Yuka Sasaki,
Ryousuke Takino, Benno P&amp;uuml;tz, Toshinori Yoshioka and Mitsuo Kawato, &quot;Human
Cerebellar Activity Reflecting an Acquired Internal Model of a New Tool,&quot;
&lt;cite&gt;Nature&lt;/cite&gt; &lt;strong&gt;403&lt;/strong&gt; (2000): 192--195
	&lt;li&gt;Masao Ito, &quot;Internal Model Visualized,&quot; &lt;cite&gt;Nature&lt;/cite&gt;
&lt;strong&gt;403&lt;/strong&gt; (2000): 153--154 [Commentary on Imamizu et al. above]
	&lt;li&gt;William James, &lt;cite&gt;Principles of Psychology,&lt;/cite&gt; &lt;a
href=&quot;http://psychclassics.yorku.ca/James/Principles/prin23.htm&quot;&gt;ch. 23&lt;/a&gt;,
&lt;a href=&quot;http://psychclassics.yorku.ca/James/Principles/prin26.htm&quot;&gt;ch. 26&lt;/a&gt;
and &lt;a
href=&quot;http://psychclassics.yorku.ca/James/Principles/prin28.htm&quot;&gt;ch. 28&lt;/a&gt;
	&lt;li&gt;Marc Jeannerod
		&lt;ul&gt;
		&lt;li&gt;&lt;cite&gt;The Cognitive Neuroscience of Action&lt;/cite&gt;
		&lt;li&gt;&lt;cite&gt;The Brain Machine: The Development of
Neurophysiological Thought&lt;/cite&gt; [The French title (&lt;cite&gt;Le Cerveau-Machine:
Physiologie de la Volont&amp;eacute;&lt;/cite&gt;) is better: not only does it describe
the subject more precisely (&lt;em&gt;voluntary&lt;/em&gt; motion), the English loses the
play on La Mettrie.]
		&lt;/ul&gt;
	&lt;li&gt;Miller, Galanter and Pribram, &lt;cite&gt;Plans and the Structure of
Behavior&lt;/cite&gt;
	&lt;li&gt;Daniel M. Wolpert, R. Chris Miall and Mitsuo Kawato, &quot;Internal
Models in the Cerebellum,&quot; &lt;cite&gt;Trends in Cognitive Sciences&lt;/cite&gt;
&lt;strong&gt;2&lt;/strong&gt; (1998): 338--347
	&lt;/ul&gt;

&lt;ul&gt;To read (&lt;cite&gt;BBS&lt;/cite&gt; = &lt;citE&gt;Behavioral and Brain Sciences&lt;/cite&gt;):
	&lt;li&gt;Terra D. Barnes, Yasuo Kubota, Dan Hu, Dezhe Z. Jin and Ann
M. Graybiel, &quot;Activity of striatal neurons reflects dynamic encoding and
recoding of procedural memories&quot;, &lt;a
href=&quot;http://dx.doi.org/&quot;&gt;&lt;cite&gt;Nature&lt;/cite&gt; &lt;strong&gt;437&lt;/strong&gt; (2005):
1158--1161&lt;/a&gt;
	&lt;li&gt;A. Berti, G. Bottini, M. Gandola, L. Pia, N. Smania, A. Stracciari,
I. Castiglioni, G. Vallar, E. Paulesu, &quot;Shared Cortical Anatomy for Motor
Awareness and Motor Control&quot;, &lt;a
href=&quot;http://dx.doi.org/10.1126/science.1110625&quot;&gt;&lt;cite&gt;Science&lt;/cite&gt;
&lt;strong&gt;309&lt;/strong&gt; (2005): 488--491&lt;/a&gt;
	&lt;li&gt;James R. Bloedel et al. (eds.), &lt;cite&gt;The Acquisition of Motor
Behavior in Vertebrates&lt;/cite&gt;
	&lt;li&gt;Valentino Braitenberg, Detlef Heck and Fahad Sultan, &quot;The
Detection and Generation of Sequences as a Key to Cerebellar
Function. Experiments and Theory,&quot; &lt;cite&gt;BBBS&lt;/cite&gt;
&lt;strong&gt;20(2)&lt;/strong&gt;: 229--277 [&lt;a
href=&quot;http://www.bbsonline.org/documents/a/00/00/04/36/&quot;&gt;preprint&lt;/a&gt;]
	&lt;li&gt;Silvia A. Bunge and Jonathan D. Wallis (eds.), &lt;cite&gt;Neuroscience
of Rule-Guided Behavior&lt;/cite&gt;
	&lt;li&gt;William Calvin
		&lt;ul&gt;
		&lt;li&gt;&lt;cite&gt;The Cerebral Code&lt;/cite&gt;
		&lt;li&gt;&quot;Cortical Columns, Modules, and Hebbian Cell
Assemblies,&quot; in Michael Arbib (ed.), &lt;cite&gt;The Handbook of Brain Theory and
Neural Networks&lt;/cite&gt; [&lt;a
href=&quot;http://www.williamcalvin.com/1990s/1995Handbook.htm&quot;&gt;on-line&lt;/a&gt;]
		&lt;/ul&gt;
	&lt;li&gt;Yinong Chen, &lt;cite&gt;A Motor Control Model Based on Self-organizing
Feature Maps&lt;/cite&gt; (Technical Report 3816, Computer Science Department,
University of Maryland-College Park, available on-line via NCSTRL)
	&lt;li&gt;Manu Chhabra and Robert A. Jacobs, &quot;Near-Optimal Human Adaptive
Control across Different Noise Environments&quot;, &lt;a
href=&quot;http://dx.doi.org/10.1523/JNEUROSCI.2238-06.2006&quot;&gt;&lt;citE&gt;The Journal of
Neuroscience&lt;/cite&gt; &lt;strong&gt;26&lt;/strong&gt; (2006): 10883--10887&lt;/a&gt;
[&lt;a href=&quot;http://www.bcs.rochester.edu/people/robbie/c.jacobs.jneuro06.pdf&quot;&gt;PDF
via Prof. Jacobs&lt;/a&gt;]
	&lt;li&gt;Paul Cisek, &quot;Integrated Neural Processes for Defining Potential
Actions and Deciding between Them: A Computational
Model&quot;, &lt;a href=&quot;http://dx.doi.org/10.1523/JNEUROSCI.5605-05.2006&quot;&gt;The Journal
of Neuroscience&lt;/cite&gt; &lt;strong&gt;26&lt;/strong&gt; (2006): 9761--9770&lt;/a&gt;
	&lt;li&gt;Dana Cohen and Miguel A. L. Nicolelis, &quot;Reduction of Single-Neuron
Firing Uncertainty by Cortical Ensembles during Motor Skill Learning&quot;,
&lt;cite&gt;Journal of Neuroscience&lt;/cite&gt; &lt;strong&gt;241&lt;/strong&gt; (2004): 3574--3582
[Thanks to Greg Gage for the pointer and a copy]
	&lt;li&gt;Benjamin A. Clegg, Gregory J. DiGirolamo and Steven W. Keele,
&quot;Sequence Learning,&quot; &lt;cite&gt;Trends in Cognitive Sciences&lt;/cite&gt;
&lt;strong&gt;8&lt;/strong&gt; (1998): 275--281
	&lt;li&gt;Eddy J. Davelaar, &quot;Sequential Retrieval and Inhibition of Parallel
(Re)Activated Representations: A Neurocomputational Comparison of Competitive
Queuing and Resampling Models&quot;, &lt;a href=&quot;http://dx.doi.org/&quot;&gt;&lt;cite&gt;Adaptive
Behavior&lt;/cite&gt; &lt;strong&gt;15&lt;/strong&gt; (2007): 51--71&lt;/a&gt;
	&lt;li&gt;Peter Ford Dominey, &quot;From Sensorimotor Sequence to Grammatical
Construction: Evidence from Simulation and Neurophysiology&quot;, &lt;a
href=&quot;http://dx.doi.org/10.1177/105971230501300401&quot;&gt;&lt;cite&gt;Adaptive
Behavior&lt;/cite&gt; &lt;strong&gt;13&lt;/strong&gt; (2005): 347--361&lt;/a&gt; [Very cool, if it's
right: &quot;The current research describes a functional trajectory from
sensorimotor sequence learning to the learning of grammatical constructions in
language. A brief review of the functional neurophysiology of the cortex and
basal ganglia will be provided as background for a neural network model of this
system in sensorimotor sequence learning. Sequential behavior is then defined
in terms of serial, temporal and abstract structure. The resulting
neuro-computational framework is demonstrated to account for observed sequence
learning behavior. More interestingly, this framework naturally extends to
grammatical constructions as form-to-meaning mappings. Predictions from the
neuro-computational model concerning parallels in language and cognitive
sequence processing are tested against behavioral and neurophysiological
observations in humans, resulting in a refinement of the allocation of model
functions to subdivisions of Broca's area. From a functional perspective this
analysis will provide insight into the relation between the coding structure in
human languages, and constraints derived from the underlying neurophysiological
computational mechanisms.&quot;  &lt;a
href=&quot;http://www.isc.cnrs.fr/dom/DomineyABRevision.pdf&quot;&gt;PDF preprint&lt;/a&gt;]
	&lt;li&gt;Berent Enc, &lt;cite&gt;How We Act: Causes, Reasons and Intentions&lt;/cite&gt;
	&lt;li&gt;David R. Euston and Bruce L. McNaughton, &quot;Apparent Encoding of
Sequential Context in Rat Medial Prefrontal Cortex Is Accounted for by
Behavioral Variability&quot;, &lt;a
href=&quot;http://dx.doi.org/10.1523/JNEUROSCI.3803-06.2006&quot;&gt;&lt;cite&gt;The Journal of
Neuroscience&lt;/cite&gt; &lt;strong&gt;26&lt;/strong&gt; (2006): 13143--13155&lt;/a&gt;
	&lt;li&gt;Scott H. Frey and Valerie E. Gerry, &quot;Modulation of Neural Activity
during Observational Learning of Actions and Their Sequential Orders&quot;,
&lt;a href=&quot;http://dx.doi.org/10.1523/JNEUROSCI.3914-06.2006&quot;&gt;&lt;cite&gt;The Journal of
Neuroscience&lt;/cite&gt;
&lt;strong&gt;26&lt;/strong&gt; (2006): 13194--13201&lt;/a&gt;
	&lt;li&gt;Okihide Hikosaka Miroyuki Nakahara, Miya K. Rand, Katsuyuki Sakai,
Xiaofeng Lu, Kae Nakamura, Shigehrio Miyachi and Kenji Doya, &quot;Parallel Neural
Networks for Learning Sequential Procedures,&quot; &lt;cite&gt;Trends in
Neurosciences&lt;/cite&gt; &lt;strong&gt;22&lt;/strong&gt; (1999): 464--471
	&lt;li&gt;Bernhard Hommel, &quot;Event files: feature binding in and across
perception and action&quot;, &lt;a
href=&quot;http://dx.doi.org/10.1016/j.tics.2004.08.007&quot;&gt;&lt;cite&gt;Trends in Cognitive
Sciences&lt;/cite&gt; &lt;strong&gt;8&lt;/strong&gt; (2004): 494--500&lt;/a&gt;
	&lt;li&gt;James C. Houk, Jay T. Buckingham and Andrew G. Barto, &quot;Models of
the cerebellum and motor learning&quot;, &lt;cite&gt;BBS&lt;/cite&gt; (1996) [&lt;a
href=&quot;http://www.bbsonline.org/documents/a/00/00/05/42/&quot;&gt;preprint&lt;/a&gt;]
	&lt;li&gt;Marc Jeannerod, &quot;The Representing Brain: Neural Correlates of Motor
Intention and Imagery,&quot; &lt;cite&gt;BBS&lt;/cite&gt;
&lt;strong&gt;17(2)&lt;/strong&gt;: 187-245 [&lt;a
href=&quot;http://www.bbsonline.org/documents/a/00/00/05/35/&quot;&gt;preprint&lt;/a&gt;]
	&lt;li&gt;Scott H. Johnson-Frey (ed.), &lt;cite&gt;Taking Action: Cognitive
Neuroscience Perspetives on Intentional Acts&lt;/cite&gt; [&lt;a href=&quot;http://mitpress.mit.edu/0262100975&quot;&gt;Blurb&lt;/a&gt;]
	&lt;li&gt;Scott H. Johnson-Frey, &quot;The neural bases of complex tool use in
humans&quot;, &lt;a href=&quot;http://dx.doi.org/10.1016/j.tics.2003.12.002&quot;&gt;&lt;citE&gt;Trends in
Cognitive Sciences&lt;/cite&gt; &lt;strong&gt;8&lt;/strong&gt; (2004): 71--78&lt;/a&gt;
	&lt;li&gt;Michael I. Jordan and Daniel M. Wolpert, &quot;Computational motor
control&quot;, in M. Gazzaniga (ed.), &lt;cite&gt;The Cognitive Neurosciences&lt;/cite&gt;
[&lt;a href=&quot;http://www.hera.ucl.ac.uk/sml/publications/papers/JorWol99.pdf&quot;&gt;PDF
preprint&lt;/a&gt;]
	&lt;li&gt;Angelo Maravita and Atsushi Iriki, &quot;Tools for the body (schema)&quot;,
&lt;a href=&quot;http://dx.doi.org/10.1016/j.tics.2003.12.008&quot;&gt;&lt;cite&gt;Trends in
Cognitive Sciences&lt;/cite&gt; &lt;strong&gt;8&lt;/strong&gt; (2004): 79--86&lt;/a&gt;
	&lt;li&gt;Frank A. Middleton and Peter L. Strick, &quot;Cerebellar Output: Motor
and Cognitive Channels,&quot; &lt;cite&gt;Trends in Cognitive Sciences&lt;/cite&gt;
&lt;strong&gt;2&lt;/strong&gt; (1998): 348--354
	&lt;li&gt;Michael G. Paulin, &quot;Evolutionary Origins and Principles of
Distributed Neural Computation for State Estimation and Movement Control in
Vertebrates&quot;, &lt;a
href=&quot;http://dx.doi.org/10.1002/cplx.20070&quot;&gt;&lt;cite&gt;Complexity&lt;/cite&gt;
&lt;strong&gt;10&lt;/strong&gt; (2005): 56--65&lt;/a&gt;
	&lt;li&gt;Rejean Plamondon and Adel M. Alimi, &lt;a
href=&quot;http://www.bbsonline.org/documents/a/00/00/04/98/&quot;&gt;Speed vs. Accuracy
Tradeoffs in Target Directed Movements&lt;/a&gt;
	&lt;li&gt;Tony J. Prescott, &quot;Forced Moves or Good Tricks in Design Space? Landmarks in the Evolution of Neural Mechanisms for Action Selection&quot;,
&lt;a href=&quot;http://dx.doi.org/10.1177/1059712306076252&quot;&gt;&lt;cite&gt;Adaptive
Behavior&lt;/cite&gt; &lt;strong&gt;15&lt;/strong&gt; (2007): 9--31&lt;/a&gt;
	&lt;li&gt;Friedemann Pulvermuller, &lt;cite&gt;The Neuroscience of Language: On
Brain Circuits of Words and Serial Order&lt;/cite&gt;
[&lt;a href=&quot;http://www.cambridge.org/0521793742&quot;&gt;Blurb&lt;/a&gt;]
	&lt;li&gt;Rosenbaum and Colley (eds.), &lt;cite&gt;Timing of Behavior&lt;/cite&gt;
[&lt;a href=&quot;http://mitpress.mit.edu/0-262-18188-6&quot;&gt;Blurb&lt;/a&gt;]
	&lt;li&gt;Jeremy D. Schmahmann, &quot;Dysmetria of Thought: Clinical Consequences
of Cerebellar Dysfunction on Cognition and Affect,&quot; &lt;cite&gt;Trends in Cognitive
Sciences&lt;/cite&gt; &lt;strong&gt;2&lt;/strong&gt; (1998): 362--371
	&lt;li&gt;Stephen H. Scott, &quot;Optimal Feedback Control and the Neural Basis of
Volitional Motor Control&quot;, &lt;a
href=&quot;http://dx.doi.org/10.1038/nrn1427&quot;&gt;&lt;cite&gt;Nature Reviews
Neuroscience&lt;/cite&gt; &lt;strong&gt;5&lt;/strong&gt; (2004): 532--546&lt;/a&gt;
	&lt;li&gt;Natalie Sebanz and Wolfgang Prinz (eds.), &lt;cite&gt;Disorders of
Volition&lt;/cite&gt; [&lt;a href=&quot;http://mitpress.mit.edu/0-262-19540-2&quot;&gt;Blurb&lt;/a&gt;]
	&lt;li&gt;Keisetsu Shima, Masaki Isoda, Hajime Mushiake and Jun Tanji,
&quot;Categorization of behavioural sequences in the prefrontal cortex&quot;,
&lt;a
href=&quot;http://dx.doi.org/10.1038/nature05470&quot;&gt;&lt;cite&gt;Nature&lt;/cite&gt; &lt;strong&gt;445&lt;/strong&gt;
(2007): 315--318&lt;/a&gt;
	&lt;li&gt;Stein, Grillner, Selverston and Stuart (eds.), &lt;citE&gt;Neurons,
Networks, and Motor Behavior&lt;/citE&gt;
	&lt;li&gt;Jun Tanji, &quot;Sequential Organization of Multiple Movements:
Involvement of Cortical Motor Areas&quot;, &lt;a
href=&quot;http://dx.doi.org/10.1146/annurev.neuro.24.1.631&quot;&gt;&lt;cite&gt;Annual Review of
Neuroscience&lt;/cite&gt; &lt;strong&gt;24&lt;/strong&gt; (2001): 631--651&lt;/a&gt;
	&lt;li&gt;William T. Thach, &quot;What Is the Role of the Cerebellum in Motor
Learning and Cognition?&quot; &lt;cite&gt;Trends in Cognitive Sciences&lt;/cite&gt;
&lt;strong&gt;2&lt;/strong&gt; (1998): 331--337
	&lt;li&gt;Kurt A. Thoroughman and Reza Shadmehr, &quot;Learning of Action Through
Adaptive Combination of Motor Primitives,&quot; &lt;cite&gt;Nature&lt;/cite&gt;
&lt;strong&gt;407&lt;/strong&gt; (2000): 742--747 [Plus comment by Zoubin Ghahramani,
&quot;Building Blocks of Movement,&quot; same issue]
	&lt;li&gt;Kurt A. Thoroughman and Jordan A. Taylor, &quot;Rapid Reshaping of Human
Motor Generalization&quot;, &lt;a
href=&quot;http://dx.doi.org/10.1523/JNEUROSCI.1771-05.2005&quot;&gt;&lt;cite&gt;The Journal of
Neuroscience&lt;/cite&gt; &lt;strong&gt;25&lt;/strong&gt; (2005): 8948--8953&lt;/a&gt;
	&lt;li&gt;Frederick Toates, &quot;The interaction of cognitive and
stimulus-response processes in the control of behavior&quot;, &lt;cite&gt;Neuroscience
and Biobehavioral Reviews&lt;/cite&gt; &lt;strong&gt;22&lt;/strong&gt; (1998): 59--83
	&lt;li&gt;Mark Witkowski, &quot;An Action-Selection Calculus&quot;,
&lt;a href=&quot;http://dx.doi.org/10.1177/1059712306076254&quot;&gt;&lt;cite&gt;Adaptive
Behavior&lt;/cite&gt; &lt;strong&gt;15&lt;/strong&gt; (2007): 73--97&lt;/a&gt;
	&lt;li&gt;D. Wolpert, Z. Ghahramani and M. Jordan, &quot;An Internal Model for
Sensorimotor Integration,&quot; &lt;cite&gt;Science&lt;/cite&gt; &lt;strong&gt;272&lt;/strong&gt; (1995):
1880--1882.
	&lt;li&gt;D. Wolpert and M. Kawato, &quot;Multiple Paired Forward and Inverse
Models for Motor Control,&quot; &lt;cite&gt;Neural Network&lt;/cite&gt; &lt;strong&gt;11&lt;/strong&gt;
(1998): 1317--1329.
	&lt;li&gt;Florentin W&amp;ouml;rg&amp;ouml;tter and Bernd Porr, &quot;Temporal Sequence
Learning, Prediction, and Control: A Review of Different Models and Their
Relation to Biological Mechanisms&quot;, &lt;a
href=&quot;http://neco.mitpress.org/cgi/content/abstract/17/2/245&quot;&gt;&lt;cite&gt;Neural
Computation&lt;/citE&gt; &lt;strong&gt;17&lt;/strong&gt; (2005): 245--319&lt;/a&gt;
	&lt;/ul&gt;
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