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06/25/2023
Autoencoders for a manifold learning problem with a Jacobian rank constraint
We formulate the manifold learning problem as the problem of finding an ...
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05/27/2023
Computing a partition function of a generalized pattern-based energy over a semiring
Valued constraint satisfaction problems with ordered variables (VCSPO) a...
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05/01/2022
On the speed of uniform convergence in Mercer's theorem
The classical Mercer's theorem claims that a continuous positive definit...
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04/09/2022
Spectral bounds of the ε-entropy of kernel classes
We develop new upper and lower bounds on the ε-entropy of a unit ball in...
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06/27/2021
How many moments does MMD compare?
We present a new way of study of Mercer kernels, by corresponding to a s...
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04/11/2021
The algebraic structure of the densification and the sparsification tasks for CSPs
The tractability of certain CSPs for dense or sparse instances is known ...
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12/23/2019
Semantics- and Syntax-related Subvectors in the Skip-gram Embeddings
We show that the skip-gram embedding of any word can be decomposed into ...
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03/12/2019
Dimension reduction as an optimization problem over a set of generalized functions
Classical dimension reduction problem can be loosely formulated as a pro...
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02/26/2019
Context Vectors are Reflections of Word Vectors in Half the Dimensions
This paper takes a step towards theoretical analysis of the relationship...
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02/08/2019
Fourier Neural Networks: A Comparative Study
We review neural network architectures which were motivated by Fourier s...
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08/19/2018
Fourier analysis perspective for sufficient dimension reduction problem
A theory of sufficient dimension reduction (SDR) is developed from an op...
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02/23/2018
Reusing Weights in Subword-aware Neural Language Models
We propose several ways of reusing subword embeddings and other weights ...
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09/02/2017
Patterns versus Characters in Subword-aware Neural Language Modeling
Words in some natural languages can have a composite structure. Elements...
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08/28/2017
Searching for an algebra on CSP solutions
The Constraint Satisfaction Problem (CSP) is a problem of computing a ho...
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07/20/2017