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06/06/2023
Towards Visual Foundational Models of Physical Scenes
We describe a first step towards learning general-purpose visual represe...
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06/01/2023
Prompt Algebra for Task Composition
We investigate whether prompts learned independently for different tasks...
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04/12/2023
Function Space and Critical Points of Linear Convolutional Networks
We study the geometry of linear networks with one-dimensional convolutio...
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03/25/2023
Train/Test-Time Adaptation with Retrieval
We introduce Train/Test-Time Adaptation with Retrieval (T^3AR), a method...
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02/28/2023
Linear Spaces of Meanings: the Compositional Language of VLMs
We investigate compositional structures in vector data embeddings from p...
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02/15/2023
À-la-carte Prompt Tuning (APT): Combining Distinct Data Via Composable Prompting
We introduce À-la-carte Prompt Tuning (APT), a transformer-based scheme ...
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08/03/2021
Geometry of Linear Convolutional Networks
We study the family of functions that are represented by a linear convol...
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03/10/2021
Symmetry Breaking in Symmetric Tensor Decomposition
In this note, we consider the optimization problem associated with compu...
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06/24/2020
Neural Splines: Fitting 3D Surfaces with Infinitely-Wide Neural Networks
We present Neural Splines, a technique for 3D surface reconstruction tha...
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10/03/2019
Pure and Spurious Critical Points: a Geometric Study of Linear Networks
The critical locus of the loss function of a neural network is determine...
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06/18/2019
Gradient Dynamics of Shallow Univariate ReLU Networks
We present a theoretical and empirical study of the gradient dynamics of...
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05/29/2019
On the Expressive Power of Deep Polynomial Neural Networks
We study deep neural networks with polynomial activations, particularly ...
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08/08/2018
On the Solvability of Viewing Graphs
A set of fundamental matrices relating pairs of cameras in some configur...
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03/16/2018
Consistent sets of lines with no colorful incidence
We consider incidences among colored sets of lines in R^d and examine wh...
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07/06/2017
Changing Views on Curves and Surfaces
Visual events in computer vision are studied from the perspective of alg...
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12/04/2016
General models for rational cameras and the case of two-slit projections
The rational camera model recently introduced in [19] provides a general...
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08/21/2016