Benefits of commitment in hierarchical inference

Humans have the tendency to commit to a single interpretation of what has caused some observed evidence rather than considering all possible alternatives. This tendency can explain various forms of confirmation and reference biases. However, committing to a single high-level interpretation seems short-sighted and irrational, and thus it is unclear why humans seem motivated to pursue such strategy. In a first step toward answering this question, we systematically quantified how this strategy affects estimation accuracy at the feature level in the context of two universal hierarchical inference tasks, categorical perception and causal cue combination. Using model simulations, we demonstrate that although estimation is generally impaired when conditioned on only a single high-level inter-pretation, the impairment is not uniform across the entire feature range. On the contrary, compared to a full inference strategy that considers all high-level interpretations, accuracy is actually better for feature values for which the probability of an incorrect categorical/structural commitment is relatively low. That is to say, if an observer is reasonably certain about the high-level interpretation of the feature, it is advantageous to condition subsequent feature inference only on that particular interpretation. We also show that this benefit of commitment is substantially amplified if late noise corrupts information processing (e.g., during retention in working memory). Our results suggest that top-down inference strategies that solely rely on the most likely high-level interpretation can be favorable and at least locally outperform a full inference strategy.

[1]  Speeded induction under uncertainty: The influence of multiple categories and feature conjunctions , 2010, Psychonomic bulletin & review.

[2]  R. Baierlein Probability Theory: The Logic of Science , 2004 .

[3]  J. Gold,et al.  Visual Decision-Making in an Uncertain and Dynamic World. , 2017, Annual review of vision science.

[4]  Sean Duffy,et al.  Children use categories to maximize accuracy in estimation. , 2006, Developmental science.

[5]  G. Rhodes,et al.  Sex-specific norms code face identity. , 2011, Journal of vision.

[6]  Tandra Ghose,et al.  Generalization between canonical and non-canonical views in object recognition. , 2013, Journal of vision.

[7]  L. Festinger,et al.  A Theory of Cognitive Dissonance , 2017 .

[8]  Charles Kemp,et al.  The discovery of structural form , 2008, Proceedings of the National Academy of Sciences.

[9]  A. Tolias,et al.  Trial-to-trial, uncertainty-based adjustment of decision boundaries in visual categorization , 2013, Proceedings of the National Academy of Sciences.

[10]  Alan A Stocker Credo for optimality. , 2018, The Behavioral and brain sciences.

[11]  Brian H. Ross,et al.  The two faces of typicality in category-based induction , 2005, Cognition.

[12]  Adrian E. Raftery,et al.  Bayesian model averaging: a tutorial (with comments by M. Clyde, David Draper and E. I. George, and a rejoinder by the authors , 1999 .

[13]  Pascal Mamassian,et al.  Visual Confidence. , 2016, Annual review of vision science.

[14]  Nathaniel D. Daw,et al.  Self-Evaluation of Decision-Making: A General Bayesian Framework for Metacognitive Computation , 2017, Psychological review.

[15]  Adrian E. Raftery,et al.  Bayesian Model Averaging: A Tutorial , 2016 .

[16]  Anne E. Urai,et al.  Confirmation Bias through Selective Overweighting of Choice-Consistent Evidence , 2018, Current Biology.

[17]  A. Stocker,et al.  Post-decision biases reveal a self-consistency principle in perceptual inference , 2018, eLife.

[18]  Konrad Paul Kording,et al.  Bayesian integration in sensorimotor learning , 2004, Nature.

[19]  D. Wolpert Probabilistic models in human sensorimotor control. , 2007, Human movement science.

[20]  David Draper,et al.  Assessment and Propagation of Model Uncertainty , 2011 .

[21]  B. Newell,et al.  Induction with uncertain categories: When do people consider the category alternatives? , 2009, Memory & cognition.

[22]  R. Jacobs,et al.  Optimal integration of texture and motion cues to depth , 1999, Vision Research.

[23]  P. Dayan,et al.  Perceptual organization in the tilt illusion. , 2009, Journal of vision.

[24]  E. Adelson Perceptual organization and the judgment of brightness. , 1993, Science.

[25]  Denis Schluppeck,et al.  Do perceptual biases emerge early or late in visual processing? Decision-biases in motion perception , 2016, Proceedings of the Royal Society B: Biological Sciences.

[26]  Shlomo Zilberstein,et al.  Models of Bounded Rationality , 1995 .

[27]  Tai Sing Lee,et al.  The Visual System's Internal Model of the World , 2015, Proceedings of the IEEE.

[28]  J. Movshon,et al.  A new perceptual illusion reveals mechanisms of sensory decoding , 2007, Nature.

[29]  Eero P. Simoncelli,et al.  Optimal inference explains the perceptual coherence of visual motion stimuli. , 2011, Journal of vision.

[30]  David C Knill,et al.  Mixture models and the probabilistic structure of depth cues , 2003, Vision Research.

[31]  John R. Anderson,et al.  The Adaptive Nature of Human Categorization , 1991 .

[32]  Misha Tsodyks,et al.  Visual perception as retrospective Bayesian decoding from high- to low-level features , 2017, Proceedings of the National Academy of Sciences.

[33]  Renaud Lancelot,et al.  Tick-Bacteria Mutualism Depends on B Vitamin Synthesis Pathways , 2018, Current Biology.

[34]  Adam N Sanborn,et al.  Rational approximations to rational models: alternative algorithms for category learning. , 2010, Psychological review.

[35]  D. Knill,et al.  Apparent surface curvature affects lightness perception , 1991, Nature.

[36]  Konrad Paul Kording,et al.  Causal Inference in Multisensory Perception , 2007, PloS one.

[37]  Richard D. Lange,et al.  A confirmation bias in perceptual decision-making due to hierarchical approximate inference , 2018, bioRxiv.

[38]  Neil W. Roach,et al.  Resolving multisensory conflict: a strategy for balancing the costs and benefits of audio-visual integration , 2006, Proceedings of the Royal Society B: Biological Sciences.

[39]  M. Ernst,et al.  Humans integrate visual and haptic information in a statistically optimal fashion , 2002, Nature.

[40]  Wei Ji Ma,et al.  Optimal inference of sameness , 2012, Proceedings of the National Academy of Sciences.

[41]  R. Jardri,et al.  Circular inferences in schizophrenia. , 2013, Brain : a journal of neurology.

[42]  Alan A. Stocker,et al.  A Bayesian Model of Conditioned Perception , 2007, NIPS.

[43]  D. Burr,et al.  The Ventriloquist Effect Results from Near-Optimal Bimodal Integration , 2004, Current Biology.

[44]  Rachel N. Denison,et al.  Supra-optimality may emanate from suboptimality, and hence optimality is no benchmark in multisensory integration , 2018, Behavioral and Brain Sciences.

[45]  J. Brehm Postdecision changes in the desirability of alternatives. , 1956, Journal of abnormal psychology.

[46]  Christopher Summerfield,et al.  Building Bridges between Perceptual and Economic Decision-Making: Neural and Computational Mechanisms , 2012, Front. Neurosci..

[47]  D. Knill Robust cue integration: a Bayesian model and evidence from cue-conflict studies with stereoscopic and figure cues to slant. , 2007, Journal of vision.

[48]  Andrew Zisserman,et al.  Advances in Neural Information Processing Systems (NIPS) , 2007 .

[49]  Jonathan I. Flombaum,et al.  Why some colors appear more memorable than others: A model combining categories and particulars in color working memory. , 2015, Journal of experimental psychology. General.

[50]  M. Sahani,et al.  Perceptual bias reveals slow-updating in autism and fast-forgetting in dyslexia , 2019, Nature Neuroscience.

[51]  Scott D. Brown,et al.  Detecting and predicting changes , 2009, Cognitive Psychology.

[52]  Tai Sing Lee,et al.  Hierarchical Bayesian inference in the visual cortex. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[53]  R. Nickerson Confirmation Bias: A Ubiquitous Phenomenon in Many Guises , 1998 .

[54]  J. Tenenbaum,et al.  Probabilistic models of cognition: exploring representations and inductive biases , 2010, Trends in Cognitive Sciences.

[55]  A. Yuille,et al.  Object perception as Bayesian inference. , 2004, Annual review of psychology.

[56]  Adam Binch,et al.  Perception as Bayesian Inference , 2014 .

[57]  Megan A. K. Peters,et al.  Perceptual confidence neglects decision-incongruent evidence in the brain , 2017, Nature Human Behaviour.

[58]  Jessica B. Hamrick,et al.  Simulation as an engine of physical scene understanding , 2013, Proceedings of the National Academy of Sciences.

[59]  Marius Usher,et al.  Decisions reduce sensitivity to subsequent information , 2015, Proceedings of the Royal Society B: Biological Sciences.

[60]  Thomas L. Griffiths,et al.  One and Done? Optimal Decisions From Very Few Samples , 2014, Cogn. Sci..

[61]  Jack L. Vevea,et al.  Why do categories affect stimulus judgment? , 2000, Journal of experimental psychology. General.

[62]  Christopher R Fetsch,et al.  Dynamic Reweighting of Visual and Vestibular Cues during Self-Motion Perception , 2009, The Journal of Neuroscience.

[63]  Alan A. Stocker,et al.  High- to low-level decoding does not generally improve perceptual performance , 2017 .

[64]  Naomi H. Feldman,et al.  The influence of categories on perception: explaining the perceptual magnet effect as optimal statistical inference. , 2009, Psychological review.

[65]  Samuel J. Gershman,et al.  Computational rationality: A converging paradigm for intelligence in brains, minds, and machines , 2015, Science.

[66]  Jennifer L. Campos,et al.  Bayesian integration of visual and vestibular signals for heading. , 2009, Journal of vision.

[67]  F. D. de Lange,et al.  Reference repulsion is not a perceptual illusion , 2018, Cognition.

[68]  M. Landy,et al.  The effect of viewpoint on perceived visual roughness. , 2007, Journal of vision.

[69]  David Melcher,et al.  Trans-Saccadic Perception: “Object-otopy” across Space and Time , 2010 .

[70]  O. Schwartz,et al.  Flexible Gating of Contextual Influences in Natural Vision , 2015, Nature Neuroscience.

[71]  B. Ross,et al.  Predictions From Uncertain Categorizations , 1994, Cognitive Psychology.

[72]  D. Kersten,et al.  Segmentation decreases the magnitude of the tilt illusion. , 2013, Journal of vision.

[73]  Paul M Bays,et al.  Drift in Neural Population Activity Causes Working Memory to Deteriorate Over Time , 2018, The Journal of Neuroscience.

[74]  M. Wallace,et al.  Unifying multisensory signals across time and space , 2004, Experimental Brain Research.

[75]  P. Cz. Handbuch der physiologischen Optik , 1896 .

[76]  Eero P. Simoncelli,et al.  Noise characteristics and prior expectations in human visual speed perception , 2006, Nature Neuroscience.

[77]  David R Shanks,et al.  The influence of hierarchy on probability judgment , 2003, Cognition.