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We describe, analyze, and evaluate experimentally a new probabilistic model for word-sequence prediction in natural language based on prediction suffix trees (PSTs). By using efficient data structures, we extend the notion of PST to…

cmp-lg · Computer Science 2008-02-03 Fernando C. N. Pereira , Yoram Singer , Naftali Tishby

This article introduces the Event based Prediction Suffix Tree (EPST), a biologically inspired, event-based prediction algorithm. The EPST learns a model online based on the statistics of an event based input and can make predictions over…

Machine Learning · Computer Science 2023-10-24 Evie Andrew , Travis Monk , André van Schaik

We propose a procedure to build a decision tree which approximates the performance of complex machine learning models. This single approximation tree can be used to interpret and simplify the predicting pattern of random forests (RFs) and…

Methodology · Statistics 2016-10-31 Yichen Zhou , Giles Hooker

Finding a minimum spanning tree (MST) for $n$ points in an arbitrary metric space is a fundamental primitive for hierarchical clustering and many other ML tasks, but this takes $\Omega(n^2)$ time to even approximate. We introduce a…

Data Structures and Algorithms · Computer Science 2025-02-19 Nate Veldt , Thomas Stanley , Benjamin W. Priest , Trevor Steil , Keita Iwabuchi , T. S. Jayram , Geoffrey Sanders

Mechanisms for continued self-improvement of language models without external supervision remain an open challenge. We propose Peer-Predictive Self-Training (PST), a label-free fine-tuning framework in which multiple language models improve…

Computation and Language · Computer Science 2026-04-28 Shi Feng , Hanlin Zhang , Fan Nie , Sham Kakade , Yiling Chen

Polytrees are a subclass of Bayesian networks that seek to capture the conditional dependencies between a set of $n$ variables as a directed forest and are motivated by their more efficient inference and improved interpretability. Since the…

Data Structures and Algorithms · Computer Science 2026-05-06 Juha Harviainen , Frank Sommer , Manuel Sorge

The goal of this paper is to study the similarity between sequences using a distance between the \emph{context} trees associated to the sequences. These trees are defined in the framework of \emph{Sparse Probabilistic Suffix Trees} (SPST),…

Applications · Statistics 2008-04-29 Florencia Leonardi , Sergio R. Matioli , Hugo A. Armelin , Antonio Galves

The class of self-nested trees presents remarkable compression properties because of the systematic repetition of subtrees in their structure. In this paper, we provide a better combinatorial characterization of this specific family of…

Data Structures and Algorithms · Computer Science 2018-10-26 Romain Azaïs , Jean-Baptiste Durand , Christophe Godin

Mappings to structured output spaces (strings, trees, partitions, etc.) are typically learned using extensions of classification algorithms to simple graphical structures (eg., linear chains) in which search and parameter estimation can be…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

We study learning-augmented binary search trees (BSTs) via Treaps with carefully designed priorities. The result is a simple search tree in which the depth of each item $x$ is determined by its predicted weight $w_x$. Specifically, each…

Data Structures and Algorithms · Computer Science 2025-05-16 Jingbang Chen , Xinyuan Cao , Alicia Stepin , Li Chen

We present improved learning-augmented algorithms for finding an approximate minimum spanning tree (MST) for points in an arbitrary metric space. Our work follows a recent framework called metric forest completion (MFC), where the learned…

Data Structures and Algorithms · Computer Science 2026-03-02 Nate Veldt , Thomas Stanley , Benjamin W. Priest , Trevor Steil , Keita Iwabuchi , T. S. Jayram , Grace J. Li , Geoffrey Sanders

Search trees on trees (STTs) are a far-reaching generalization of binary search trees (BSTs), allowing the efficient exploration of tree-structured domains. (BSTs are the special case in which the underlying domain is a path.) Trees on…

Data Structures and Algorithms · Computer Science 2020-10-29 Benjamin Aram Berendsohn , László Kozma

Target similarity tuning (TST) is a method of selecting relevant examples in natural language (NL) to code generation through large language models (LLMs) to improve performance. Its goal is to adapt a sentence embedding model to have the…

Artificial Intelligence · Computer Science 2023-10-31 Anirudh Khatry , Sumit Gulwani , Priyanshu Gupta , Vu Le , Ananya Singha , Mukul Singh , Gust Verbruggen

In this paper, we propose a new indexing structure for parameterized strings which we call PLSTs, by generalizing linear-size suffix tries for ordinary strings. Two parameterized strings are said to match if there is a bijection on the…

Data Structures and Algorithms · Computer Science 2019-09-05 Katsuhito Nakashima , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

Data Structures and Algorithms · Computer Science 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

Sequence discriminative training is a great tool to improve the performance of an automatic speech recognition system. It does, however, necessitate a sum over all possible word sequences, which is intractable to compute in practice.…

Computation and Language · Computer Science 2022-04-22 Nils-Philipp Wynands , Wilfried Michel , Jan Rosendahl , Ralf Schlüter , Hermann Ney

Motivation: Many inference tools use the Perfect Phylogeny Model (PPM) to learn trees from noisy variant allele frequency (VAF) data. Learning in this setting is hard, and existing tools use approximate or heuristic algorithms. An…

Quantitative Methods · Quantitative Biology 2019-08-26 Surjyendu Ray , Bei Jia , Sam Safavi , Tim van Opijnen , Ralph Isberg , Jason Rosch , José Bento

We study contextual stochastic optimization problems, where we leverage rich auxiliary observations (e.g., product characteristics) to improve decision making with uncertain variables (e.g., demand). We show how to train forest decision…

Optimization and Control · Mathematics 2022-03-17 Nathan Kallus , Xiaojie Mao

Efficient methods for storing and querying are critical for scaling high-order n-gram language models to large corpora. We propose a language model based on compressed suffix trees, a representation that is highly compact and can be easily…

Computation and Language · Computer Science 2016-08-17 Ehsan Shareghi , Matthias Petri , Gholamreza Haffari , Trevor Cohn

*Minimal sufficient reasons* represent a prevalent form of explanation - the smallest subset of input features which, when held constant at their corresponding values, ensure that the prediction remains unchanged. Previous *post-hoc*…

Machine Learning · Computer Science 2025-03-04 Shahaf Bassan , Ron Eliav , Shlomit Gur
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