Can Computational Goals Inform Theories of Vision?

One of the most lasting contributions of Marr's posthumous book is his articulation of the different "levels of analysis" that are needed to understand vision. Although a variety of work has examined how these different levels are related, there is comparatively little examination of the assumptions on which his proposed levels rest, or the plausibility of the approach Marr articulated given those assumptions. Marr placed particular significance on computational level theory, which specifies the "goal" of a computation, its appropriateness for solving a particular problem, and the logic by which it can be carried out. The structure of computational level theory is inherently teleological: What the brain does is described in terms of its purpose. I argue that computational level theory, and the reverse-engineering approach it inspires, requires understanding the historical trajectory that gave rise to functional capacities that can be meaningfully attributed with some sense of purpose or goal, that is, a reconstruction of the fitness function on which natural selection acted in shaping our visual abilities. I argue that this reconstruction is required to distinguish abilities shaped by natural selection-"natural tasks" -from evolutionary "by-products" (spandrels, co-optations, and exaptations), rather than merely demonstrating that computational goals can be embedded in a Bayesian model that renders a particular behavior or process rational.

[1]  D. Kersten,et al.  Illusions, perception and Bayes , 2002, Nature Neuroscience.

[2]  David A. Tovar,et al.  Representational dynamics of object vision: the first 1000 ms. , 2013, Journal of vision.

[3]  Barton L Anderson,et al.  Generative constraints on image cues for perceived gloss. , 2013, Journal of vision.

[4]  Refractor Vision , 2000, The Lancet.

[5]  John Bickle,et al.  Marr and Reductionism , 2015, Top. Cogn. Sci..

[6]  S. Gould,et al.  The spandrels of San Marco and the Panglossian paradigm: a critique of the adaptationist programme , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[7]  Ruth Garrett Millikan,et al.  Wings, Spoons, Pills, and Quills: A Pluralist Theory of Function , 1999 .

[8]  Robert Rosen,et al.  Anticipatory systems : philosophical, mathematical, and methodological foundations , 1985 .

[9]  Phillip J. Marlow,et al.  The Perception and Misperception of Specular Surface Reflectance , 2012, Current Biology.

[10]  Oron Shagrir,et al.  The Non-Redundant Contributions of Marr's Three Levels of Analysis for Explaining Information-Processing Mechanisms , 2015, Top. Cogn. Sci..

[11]  B. Anderson Filling-in models of completion: rejoinder to Kellman, Garrigan, Shipley, and Keane (2007) and Albert (2007). , 2007, Psychological review.

[12]  Ennio Mingolla,et al.  Neural dynamics of perceptual grouping: Textures, boundaries, and emergent segmentations , 1985 .

[13]  Barton L Anderson,et al.  The demise of the identity hypothesis and the insufficiency and nonnecessity of contour relatability in predicting object interpolation: comment on Kellman, Garrigan, and Shipley (2005). , 2007, Psychological review.

[14]  Barton L. Anderson,et al.  The perceptual representation of transparency, lightness, and gloss , 2015 .

[15]  Barton L Anderson,et al.  Motion-Based Mechanisms of Illusory Contour Synthesis , 1999, Neuron.

[16]  Barton L. Anderson Non-Bayesian contour synthesis , 2010 .

[17]  Wilson S. Geisler,et al.  A Bayesian approach to the evolution of perceptual and cognitive systems , 2003, Cogn. Sci..

[18]  Jeffrey S. Perry,et al.  Edge co-occurrence in natural images predicts contour grouping performance , 2001, Vision Research.