A Dynamic Bayesian Observer Model Reveals Origins of Bias in Visual Path Integration

Alyan, 1994, Short range homing in the house mouse, Mus Musculus: stages in the learning of directions, Anim. Behav., 48, 285, 10.1006/anbe.1994.1242 Avila, 2017, Speed tuning in the macaque posterior parietal cortex, bioRxiv Bakker, 1999, The effects of proprioceptive and visual feedback on geographical orientation in virtual environments, Presence, 8, 36, 10.1162/105474699566035 Bakker, 2001, Calibrating visual path integration in VEs, Presence: Teleoperators Virtual Environ., 10, 216, 10.1162/105474601750216812 Becker, 2002, Fusion of vestibular and podokinesthetic information during self-turning towards instructed targets, Exp. Brain Res., 144, 458, 10.1007/s00221-002-1053-5 Benhamou, 1997, Path integration by swimming rats, Anim. Behav., 54, 321, 10.1006/anbe.1996.0464 Bergmann, 2011, Locomotor and verbal distance judgments in action and vista space, Exp. Brain Res., 210, 13, 10.1007/s00221-011-2597-z Bjerknes, 2018, Path integration in place cells of developing rats, Proc. Natl. Acad. Sci. USA, 115, E1637, 10.1073/pnas.1719054115 Bogacz, 2007, Optimal decision-making theories: linking neurobiology with behaviour, Trends Cogn. Sci., 11, 118, 10.1016/j.tics.2006.12.006 Bonnen, 2015, Continuous psychophysics: target-tracking to measure visual sensitivity, J. Vis., 15, 14 Brossard, 2016, Oscillatory optical flows improve the perception of travelled distance in static observers, J. Vis., 16, 768 Brunton, 2013, Rats and humans can optimally accumulate evidence for decision-making, Science, 340, 95, 10.1126/science.1233912 Burak, 2009, Accurate path integration in continuous attractor network models of grid cells, PLoS Comput. Biol., 5, e1000291, 10.1371/journal.pcbi.1000291 Carland, 2016, Evidence against perfect integration of sensory information during perceptual decision making, J. Neurophysiol., 115, 915, 10.1152/jn.00264.2015 Carriot, 2014, Statistics of the vestibular input experienced during natural self-motion: implications for neural processing, J. Neurosci., 34, 8347, 10.1523/JNEUROSCI.0692-14.2014 Chen, 2015, Bias in human path integration is predicted by properties of grid cells, Curr. Biol., 25, 1771, 10.1016/j.cub.2015.05.031 Cheng, 1999, Error is proportional to distance measured by honeybees: Weber’s law in the odometer, Anim. Cogn., 2, 11, 10.1007/s100710050020 Cheng, 2006, Behavioral ecology of odometric memories in desert ants: acquisition, retention, and integration, Behav. Ecol., 17, 227, 10.1093/beheco/arj017 Collett, 2000, Path integration in insects, Curr. Opin. Neurobiol., 10, 757, 10.1016/S0959-4388(00)00150-1 Durgin, 2009, The precision of locomotor odometry in humans, Exp. Brain Res., 193, 429, 10.1007/s00221-008-1640-1 Ernst, 2012, Optimality of human contour integration, PLoS Comput. Biol., 8, e1002520, 10.1371/journal.pcbi.1002520 Etienne, 1992, Navigation of a small mammal by dead reckoning and local cues, Curr. Dir. Psychol. Sci., 1, 48, 10.1111/1467-8721.ep11509737 Fiser, 2010, Statistically optimal perception and learning: from behavior to neural representations, Trends Cogn. Sci., 14, 119, 10.1016/j.tics.2010.01.003 Frenz, 2005, Absolute travel distance from optic flow, Vision Res., 45, 1679, 10.1016/j.visres.2004.12.019 Gil, 2018, Impaired path integration in mice with disrupted grid cell firing, Nat. Neurosci., 21, 81, 10.1038/s41593-017-0039-3 Giocomo, 2011, Computational models of grid cells, Neuron, 71, 589, 10.1016/j.neuron.2011.07.023 Glaze, 2015, Normative evidence accumulation in unpredictable environments, eLife, 4, e08825, 10.7554/eLife.08825 Loomis, 1999, Human navigation by path integration, 125 Huk, 2005, Neural activity in macaque parietal cortex reflects temporal integration of visual motion signals during perceptual decision making, J. Neurosci., 25, 10420, 10.1523/JNEUROSCI.4684-04.2005 Hürlimann, 2002, Testing the Bayesian model of perceived speed, Vision Res., 42, 2253, 10.1016/S0042-6989(02)00119-0 Issen, 2015, Spatial integration of optic flow information in direction of heading judgments, J. Vis., 15, 14 Jazayeri, 2010, Temporal context calibrates interval timing, Nat. Neurosci., 13, 1020, 10.1038/nn.2590 Jogan, 2013, Optimal integration of visual speed across different spatiotemporal frequency channels, Adv. Neural Inf. Process. Syst., 26, 3201 Jürgens, 2006, Perception of angular displacement without landmarks: evidence for Bayesian fusion of vestibular, optokinetic, podokinesthetic, and cognitive information, Exp. Brain Res., 174, 528, 10.1007/s00221-006-0486-7 Jürgens, 1999, Estimation of self-turning in the dark: comparison between active and passive rotation, Exp. Brain Res., 128, 491, 10.1007/s002210050872 Kiani, 2008, Bounded integration in parietal cortex underlies decisions even when viewing duration is dictated by the environment, J. Neurosci., 28, 3017, 10.1523/JNEUROSCI.4761-07.2008 Kiani, 2013, Integration of direction cues is invariant to the temporal gap between them, J. Neurosci., 33, 16483, 10.1523/JNEUROSCI.2094-13.2013 Klatzky, 1990, Acquisition of route and survey knowledge in the absence of vision, J. Mot. Behav., 22, 19, 10.1080/00222895.1990.10735500 Kropff, 2015, Speed cells in the medial entorhinal cortex, Nature, 523, 419, 10.1038/nature14622 Lappe, 2009, Visual estimation of travel distance during walking, Exp. Brain Res., 199, 369, 10.1007/s00221-009-1890-6 Lappe, 2007, Travel distance estimation from visual motion by leaky path integration, Exp. Brain Res., 180, 35, 10.1007/s00221-006-0835-6 Lappe, 2011, Keeping track of the distance from home by leaky integration along veering paths, Exp. Brain Res., 212, 81, 10.1007/s00221-011-2696-x Lee, 2014, Dynamic belief state representations, Curr. Opin. Neurobiol., 25, 221, 10.1016/j.conb.2014.01.018 Loomis, 1993, Nonvisual navigation by blind and sighted: assessment of path integration ability, J. Exp. Psychol. Gen., 122, 73, 10.1037/0096-3445.122.1.73 McGuire, 2013, Rational temporal predictions can underlie apparent failures to delay gratification, Psychol. Rev., 120, 395, 10.1037/a0031910 McManus, 2017, Using optic flow in the far peripheral field, J. Vis., 17, 3 Mittelstaedt, 1991, Idiothetic navigation in gerbils and humans, Zool. Jahrbucher-Abteilung Fur Allg. Zool. und Physiol. der Tiere, 95, 427 Mittelstaedt, 2001, Idiothetic navigation in humans: estimation of path length, Exp. Brain Res., 139, 318, 10.1007/s002210100735 Mulligan, 2013, Reflexive and voluntary control of smooth eye movements, Proc. SPIE Human Vision and Electronic Imaging XVIII, 8651, 86510Z, 10.1117/12.2010333 Ossmy, 2013, The timescale of perceptual evidence integration can be adapted to the environment, Curr. Biol., 23, 981, 10.1016/j.cub.2013.04.039 Petzschner, 2011, Iterative Bayesian estimation as an explanation for range and regression effects: a study on human path integration, J. Neurosci., 31, 17220, 10.1523/JNEUROSCI.2028-11.2011 Pitkow, 2017, Inference in the brain: statistics flowing in redundant population codes, Neuron, 94, 943, 10.1016/j.neuron.2017.05.028 Prsa, 2015, Inference of perceptual priors from path dynamics of passive self-motion, J. Neurophysiol., 113, 1400, 10.1152/jn.00755.2014 Raposo, 2014, A category-free neural population supports evolving demands during decision-making, Nat. Neurosci., 17, 1784, 10.1038/nn.3865 Redlick, 2001, Humans can use optic flow to estimate distance of travel, Vision Res., 41, 213, 10.1016/S0042-6989(00)00243-1 Seguinot, 1998, Path integration in dogs, Anim. Behav., 55, 787, 10.1006/anbe.1997.0662 Simen, 2011, A model of interval timing by neural integration, J. Neurosci., 31, 9238, 10.1523/JNEUROSCI.3121-10.2011 Sotiropoulos, 2014, Contrast dependency and prior expectations in human speed perception, Vision Res., 97, 16, 10.1016/j.visres.2014.01.012 Stocker, 2006, Noise characteristics and prior expectations in human visual speed perception, Nat. Neurosci., 9, 578, 10.1038/nn1669 Sun, 2004, Multisensory integration in the estimation of relative path length, Exp. Brain Res., 154, 246, 10.1007/s00221-003-1652-9 Thurley, 2016, Magnitude estimation with noisy integrators linked by an adaptive reference, Front. Integr. Neurosci, 10, 6, 10.3389/fnint.2016.00006 Veliz-Cuba, 2016, Stochastic models of evidence accumulation in changing environments, SIAM Rev., 58, 264, 10.1137/15M1028443 Vickerstaff, 2005, Evolving neural models of path integration, J. Exp. Biol., 208, 3349, 10.1242/jeb.01772 Weiss, 2002, Motion illusions as optimal percepts, Nat. Neurosci., 5, 598, 10.1038/nn0602-858 Whitlock, 2012, Functional split between parietal and entorhinal cortices in the rat, Neuron, 73, 789, 10.1016/j.neuron.2011.12.028 Wilber, 2017, Laminar organization of encoding and memory reactivation in the parietal cortex, Neuron, 95, 1406, 10.1016/j.neuron.2017.08.033