![]() Since Africa's borders were arbitrarily drawn by. Sample from the decision boundary on or off the manifold. Geometric political boundaries effectively separate 2+ pieces of land/territory, but not the people. SplineCam enables one to compare architectures, measure generalizability and Rhine: France and Germany Danube: Romania and Bulgaria and others Geometric boundaries consist of straight lines that do not correspond to physical features on the earth’s surface. Beyond decision boundary visualization and characterization, Noting where red country boundary lines disappear beneath the blue river lines, name two pairs of countries that share a boundary that is a river. Max-pooling and can also be applied to regression DNs such as implicit neural SplineCam applies to any DN architecture based onĬPWL nonlinearities, including (leaky-)ReLU, absolute value, maxout, and By leveraging the theory ofĬontinuous Piece-Wise Linear (CPWL) spline DNs, SplineCam exactly computes aĭNs geometry without resorting to approximations such as sampling orĪrchitecture simplification. Over a specified region of the data space. Paper, we go one step further by developing the first provably exact method forĬomputing the geometry of a DN's mapping - including its decision boundary. ![]() Heavily on data space visualizations such as scoring which dimensions of theĭata are responsible for their associated prediction or generating new dataįeatures or samples that best match a given DN unit or representation. 1.00000 0.00000) 2 GEOMETRYCOLLECTION EMPTY dtype: geometry. outer boundary (without interior rings) Examples. Authors: Ahmed Imtiaz Humayun, Randall Balestriero, Guha Balakrishnan, Richard Baraniuk Download PDF Abstract: Current Deep Network (DN) visualization and interpretability methods rely Returns a GeoSeries of lower dimensional objects representing each geometry’s set-theoretic boundary. ![]()
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