Publications by authors named "Jacob N Oppenheim"

Background: Better understanding and prediction of progression of Parkinson's disease could improve disease management and clinical trial design. We aimed to use longitudinal clinical, molecular, and genetic data to develop predictive models, compare potential biomarkers, and identify novel predictors for motor progression in Parkinson's disease. We also sought to assess the use of these models in the design of treatment trials in Parkinson's disease.

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Time-reversal symmetry breaking is a key feature of many classes of natural sounds, originating in the physics of sound production. While attention has been paid to the response of the auditory system to "natural stimuli," very few psychophysical tests have been performed. We conduct psychophysical measurements of time-frequency acuity for stylized representations of "natural"-like notes (sharp attack, long decay) and the time-reversed versions of these notes (long attack, sharp decay).

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Article Synopsis
  • The time-frequency uncertainty principle establishes a limit on how precisely we can measure both the timing and frequency of a signal, which cannot be smaller than 1/(4 π).
  • Research shows that humans can often judge sound frequency and timing with much greater precision than this limit, achieving it more than ten times over, primarily due to their impressive timing skills.
  • These findings suggest that our brains use complex, nonlinear processing algorithms for sound interpretation, rather than simple linear models, emphasizing the importance of timing in how we perceive different sounds.
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Transport networks are found at the heart of myriad natural systems, yet are poorly understood, except for the case of river networks. The Scheidegger model, in which rivers are convergent random walks, has been studied only in the case of flat topography, ignoring the variety of curved geometries found in nature. Embedding this model on a cone, we find a convergent and a divergent phase, corresponding to few, long basins and many, short basins, respectively, separated by a singularity, indicating a phase transition.

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