Search Results for author: Avraham A. Melkman

Found 3 papers, 0 papers with code

On the Trade-off between the Number of Nodes and the Number of Trees in a Random Forest

no code implementations16 Dec 2023 Tatsuya Akutsu, Avraham A. Melkman, Atsuhiro Takasu

We also show that a bag of $n$ decision trees can be represented by a bag of $T$ decision trees each with polynomial size if $n-T$ is a constant and a small classification error is allowed.

On the Size and Width of the Decoder of a Boolean Threshold Autoencoder

no code implementations21 Dec 2021 Tatsuya Akutsu, Avraham A. Melkman

In this paper, we study the size and width of autoencoders consisting of Boolean threshold functions, where an autoencoder is a layered neural network whose structure can be viewed as consisting of an encoder, which compresses an input vector to a lower dimensional vector, and a decoder which transforms the low-dimensional vector back to the original input vector exactly (or approximately).

On the Compressive Power of Boolean Threshold Autoencoders

no code implementations21 Apr 2020 Avraham A. Melkman, Sini Guo, Wai-Ki Ching, Pengyu Liu, Tatsuya Akutsu

An autoencoder is a layered neural network whose structure can be viewed as consisting of an encoder, which compresses an input vector of dimension $D$ to a vector of low dimension $d$, and a decoder which transforms the low-dimensional vector back to the original input vector (or one that is very similar).

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