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Decision trees partition the feature space using hard binary thresholds, assigning identical confidence to instances far from a decision boundary and to those directly on it. We introduce ternary decision trees, which augment each split…

Machine Learning · Computer Science 2026-05-22 William Smits

Routing tables in ad hoc and wireless routing protocols can be represented using rooted trees. The constant need for communication and storage of these trees in routing protocols demands an efficient rooted tree coding algorithm. This…

Networking and Internet Architecture · Computer Science 2022-07-13 Amirmohammad Farzaneh , Mihai-Alin Badiu , Justin P. Coon

In this paper, we consider the problem of distributed inference in tree based networks. In the framework considered in this paper, distributed nodes make a 1-bit local decision regarding a phenomenon before sending it to the fusion center…

Information Theory · Computer Science 2016-11-17 Bhavya Kailkhura , Aditya Vempaty , Pramod K. Varshney

Integrated interpretability without sacrificing the prediction accuracy of decision making algorithms has the potential of greatly improving their value to the user. Instead of assigning a label to an image directly, we propose to learn…

Machine Learning · Computer Science 2021-04-13 Stephan Alaniz , Diego Marcos , Bernt Schiele , Zeynep Akata

We propose a novel approach to optimizing a byte-level representation for end-to-end automatic speech recognition (ASR). Byte-level representation is often used by large scale multilingual ASR systems when the character set of the supported…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-06 Roger Hsiao , Liuhui Deng , Erik McDermott , Ruchir Travadi , Xiaodan Zhuang

We show that the equivalence of deterministic linear top-down tree-to-word transducers is decidable in polynomial time. Linear tree-to-word transducers are non-copying but not necessarily order-preserving and can be used to express XML and…

Formal Languages and Automata Theory · Computer Science 2016-06-14 Adrien Boiret , Raphaela Palenta

Every encoding has priori information if the encoding represents any semantic information of the unverse or object. Encoding means mapping from the unverse to the string or strings of digits. The semantic here is used in the model-theoretic…

Artificial Intelligence · Computer Science 2009-03-24 Xiuli Wang

We introduce a novel Quadratic Unconstrained Binary Optimization (QUBO) formulation method for spanning tree problems. Instead of encoding the presence of edges in the tree individually, we opt to encode spanning trees as a permutation…

Data Structures and Algorithms · Computer Science 2022-09-13 Ivan Carvalho

The Fortran programming language continues to dominate the scientific computing community, with many production codes written in the outdated Fortran-77 dialect, yet with many non-standard extensions such as Cray poiters. This creates…

Software Engineering · Computer Science 2025-05-22 Jingbo Lin , Yi Yu , Zhang Yang , Yafan Zhao

Given two messages - as linear sequences of letters, it is immediate to determine whether one can be transformed into the other by simple substitution cipher of the letters. On the other hand, if the letters are carried as labels on nodes…

Discrete Mathematics · Computer Science 2022-04-14 Florian Ingels , Romain Azaïs

In this paper, we extend the notion of tree language quotients to bottom-up quotients. Instead of computing the residual of a tree language from top to bottom and producing a list of tree languages, we show how to compute a set of k-ary…

Formal Languages and Automata Theory · Computer Science 2015-06-10 Jean-Marc Champarnaud , Ludovic Mignot , Nadia Ouali-Sebti , Djelloul Ziadi

Quantum error correction is a critical component for scaling up quantum computing. Given a quantum code, an optimal decoder maps the measured code violations to the most likely error that occurred, but its cost scales exponentially with the…

Quantum Physics · Physics 2023-04-18 Evgenii Egorov , Roberto Bondesan , Max Welling

Decision trees have been a very popular class of predictive models for decades due to their interpretability and good performance on categorical features. However, they are not always robust and tend to overfit the data. Additionally, if…

Machine Learning · Computer Science 2019-08-14 Oktay Gunluk , Jayant Kalagnanam , Minhan Li , Matt Menickelly , Katya Scheinberg

An ancestry labeling scheme assigns labels (bit strings) to the nodes of rooted trees such that ancestry queries between any two nodes in a tree can be answered merely by looking at their corresponding labels. The quality of an ancestry…

Data Structures and Algorithms · Computer Science 2009-09-16 Pierre Fraigniaud , Amos Korman

We present an alternative layer to convolution layers in convolutional neural networks (CNNs). Our approach reduces the complexity of convolutions by replacing it with binary decisions. Those binary decisions are used as indexes to…

Machine Learning · Computer Science 2020-02-12 Wolfgang Fuhl , Gjergji Kasneci , Wolfgang Rosenstiel , Enkelejda Kasneci

Transformer-based models have demonstrated significant success in various source code representation tasks. Nonetheless, traditional positional embeddings employed by these models inadequately capture the hierarchical structure intrinsic to…

Machine Learning · Computer Science 2025-07-08 Patryk Bartkowiak , Filip Graliński

This note presents an encoding and a decoding algorithms for a forest of (labelled) rooted uniform hypertrees and hypercycles in linear time, by using as few as $n - 2$ integers in the range $[1,n]$. It is a simple extension of the…

Discrete Mathematics · Computer Science 2011-10-04 Christian Lavault

We study the broadcasting problem when the underlying tree is a random recursive tree. The root of the tree has a random bit value assigned. Every other vertex has the same bit value as its parent with probability $1-q$ and the opposite…

Probability · Mathematics 2021-04-27 Louigi Addario-Berry , Luc Devroye , Gabor Lugosi , Vasiliki Velona

The emergence of Quantum Machine Learning (QML) to enhance traditional classical learning methods has seen various limitations to its realisation. There is therefore an imperative to develop quantum models with unique model hypotheses to…

Quantum Physics · Physics 2023-02-21 Maiyuren Srikumar , Charles D. Hill , Lloyd C. L. Hollenberg

Decision trees are a commonly used class of machine learning models valued for their interpretability and versatility, capable of both classification and regression. We propose ZTree, a novel decision tree learning framework that replaces…

Machine Learning · Computer Science 2025-09-17 Eric Cheng , Jie Cheng