51 citations · 91 across the 15 of their papers we have counts for
15 papers
Good continuation in 3D: the neurogeometry of stereo vision
Maria Virginia Bolelli, Giovanna Citti, Alessandro Sarti +1
Classical good continuation for image curves is based on position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and b…
IAN: Iterated Adaptive Neighborhoods for manifold learning and dimensionality estimation
Luciano Dyballa, Steven W. Zucker
Invoking the manifold assumption in machine learning requires knowledge of the manifold's geometry and dimension, and theory dictates how many samples are required. However, in app…
On Qualitative Shape Inferences: a journey from geometry to topology
Steven W Zucker
Shape inference is classically ill-posed, because it involves a map from the (2D) image domain to the (3D) world. Standard approaches regularize this problem by either assuming a p…
From Boundaries to Bumps: when closed (extremal) contours are critical
Benjamin Kunsberg, Steven W. Zucker
Invariants underlying shape inference are elusive: a variety of shapes can give rise to the same image, and a variety of images can be rendered from the same shape. The occluding c…
Feature Selection Facilitates Learning Mixtures of Discrete Product Distributions
Vincent Zhao, Steven W. Zucker
Feature selection can facilitate the learning of mixtures of discrete random variables as they arise, e.g. in crowdsourcing tasks. Intuitively, not all workers are equally reliable…
What's In A Patch, I: Tensors, Differential Geometry and Statistical Shading Analysis
Daniel Niels Holtmann-Rice, Benjamin S. Kunsberg, Steven W. Zucker
We develop a linear algebraic framework for the shape-from-shading problem, because tensors arise when scalar (e.g. image) and vector (e.g. surface normal) fields are differentiate…
Critical Contours: An Invariant Linking Image Flow with Salient Surface Organization
Benjamin S. Kunsberg, Steven W. Zucker
We exploit a key result from visual psychophysics---that individuals perceive shape qualitatively---to develop the use of a geometrical/topological "invariant'' (the Morse--Smale c…
Tensors, Differential Geometry and Statistical Shading Analysis
Daniel Niels Holtmann-Rice, Benjamin S. Kunsberg, Steven W. Zucker
We develop a linear algebraic framework for the shape-from-shading problem, because tensors arise when scalar (e.g. image) and vector (e.g. surface normal) fields are differentiate…
Feedback Between Motion and Sensation Provides Nonlinear Boost in Run-and-tumble Navigation
Junjiajia Long, Steven W. Zucker, Thierry Emonet
Many organisms navigate gradients by alternating straight motions (runs) with random reorientations (tumbles), transiently suppressing tumbles whenever attractant signal increases.…
Stagewise Learning for Sparse Clustering of Discretely-Valued Data
Vincent Zhao, Steven W. Zucker
The performance of EM in learning mixtures of product distributions often depends on the initialization. This can be problematic in crowdsourcing and other applications, e.g. when…
An Online Algorithm for Learning Selectivity to Mixture Means
Matthew Lawlor, Steven Zucker
We develop a biologically-plausible learning rule called Triplet BCM that provably converges to the class means of general mixture models. This rule generalizes the classical BCM n…
Characterizing Ambiguity in Light Source Invariant Shape from Shading
Benjamin Kunsberg, Steven W. Zucker
Shape from shading is a classical inverse problem in computer vision. This shape reconstruction problem is inherently ill-defined; it depends on the assumed light source direction.…
Third-Order Edge Statistics: Contour Continuation, Curvature, and Cortical Connections
Matthew Lawlor, Steven Zucker
Association field models have attempted to explain human contour grouping performance, and to explain the mean frequency of long-range horizontal connections across cortical column…
Distance Maps and Plant Development #2: Facilitated Transport and Uniform Gradient
Pavel Dimitrov, Steven W. Zucker
The principles underlying plant development are extended to allow a more molecular mechanism to elaborate the schema by which ground cells differentiate into vascular cells. Biophy…
Distance Maps and Plant Development #1: Uniform Production and Proportional Destruction
Pavel Dimitrov, Steven W. Zucker
Experimental data regarding auxin and venation formation exist at both macroscopic and molecular scales, and we attempt to unify them into a comprehensive model for venation format…