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Although deep learning has demonstrated remarkable capability in learning from unstructured data, modern tree-based ensemble models remain superior in extracting relevant information and learning from structured datasets. While several…

Machine Learning · Computer Science 2026-02-05 Yi-Chun Liao , Chieh-Lin Tsai , Yuan-Hao Chang , Camélia Slimani , Jalil Boukhobza , Tei-Wei Kuo

This paper is divided into two parts. The first part is devoted to the study of a class of Approximate Message Passing (AMP) algorithms which are widely used in the fields of statistical physics, machine learning, or communication theory.…

Probability · Mathematics 2024-06-13 Walid Hachem

This work explores multi-modal inference in a high-dimensional simplified model, analytically quantifying the performance gain of multi-modal inference over that of analyzing modalities in isolation. We present the Bayes-optimal performance…

Machine Learning · Statistics 2025-09-30 Christian Keup , Lenka Zdeborová

The simplified parse tree (SPT) presented in Aroma, a state-of-the-art code recommendation system, is a tree-structured representation used to infer code semantics by capturing program \emph{structure} rather than program \emph{syntax}.…

We propose a novel method for approximate inference in Bayesian networks (BNs). The idea is to sample data from a BN, learn a latent tree model (LTM) from the data offline, and when online, make inference with the LTM instead of the…

Machine Learning · Computer Science 2014-01-16 Yi Wang , Nevin L. Zhang , Tao Chen

The interpretability of models has become a crucial issue in Machine Learning because of algorithmic decisions' growing impact on real-world applications. Tree ensemble methods, such as Random Forests or XgBoost, are powerful learning tools…

Optimization and Control · Mathematics 2024-01-19 Giulia Di Teodoro , Marta Monaci , Laura Palagi

Embeddings are a basic initial feature extraction step in many machine learning models, particularly in natural language processing. An embedding attempts to map data tokens to a low-dimensional space where similar tokens are mapped to…

Machine Learning · Computer Science 2025-04-10 Golara Ahmadi Azar , Melika Emami , Alyson Fletcher , Sundeep Rangan

Message-passing algorithms have emerged as powerful techniques for approximate inference in graphical models. When these algorithms converge, they can be shown to find local (or sometimes even global) optima of variational formulations to…

Artificial Intelligence · Computer Science 2012-05-14 Talya Meltzer , Amir Globerson , Yair Weiss

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 the problem of estimating a rank-$1$ signal in the presence of rotationally invariant noise-a class of perturbations more general than Gaussian noise. Principal Component Analysis (PCA) provides a natural estimator, and sharp…

Machine Learning · Statistics 2021-10-15 Marco Mondelli , Ramji Venkataramanan

Approximate message passing algorithm enjoyed considerable attention in the last decade. In this paper we introduce a variant of the AMP algorithm that takes into account glassy nature of the system under consideration. We coin this…

Disordered Systems and Neural Networks · Physics 2019-02-07 Fabrizio Antenucci , Florent Krzakala , Pierfrancesco Urbani , Lenka Zdeborová

Tree-based machine learning techniques, such as Decision Trees and Random Forests, are top performers in several domains as they do well with limited training datasets and offer improved interpretability compared to Deep Neural Networks…

Emerging Technologies · Computer Science 2021-10-27 Giacomo Pedretti , Catherine E. Graves , Can Li , Sergey Serebryakov , Xia Sheng , Martin Foltin , Ruibin Mao , John Paul Strachan

1-bit compressive sensing aims to recover sparse signals from quantized 1-bit measurements. Designing efficient approaches that could handle noisy 1-bit measurements is important in a variety of applications. In this paper we use the…

Information Theory · Computer Science 2022-04-28 Shuai Huang , Trac D. Tran

The Tree Augmentation Problem (TAP) is a fundamental network design problem in which we are given a tree and a set of additional edges, also called \emph{links}. The task is to find a set of links, of minimum size, whose addition to the…

Data Structures and Algorithms · Computer Science 2018-04-09 Fabrizio Grandoni , Christos Kalaitzis , Rico Zenklusen

We propose a novel algorithm for compressive imaging that exploits both the sparsity and persistence across scales found in the 2D wavelet transform coefficients of natural images. Like other recent works, we model wavelet structure using a…

Computer Vision and Pattern Recognition · Computer Science 2015-05-30 Subhojit Som , Philip Schniter

The generalized approximate message passing (GAMP) algorithm is an efficient method of MAP or approximate-MMSE estimation of $x$ observed from a noisy version of the transform coefficients $z = Ax$. In fact, for large zero-mean i.i.d…

Information Theory · Computer Science 2015-08-11 Jeremy Vila , Philip Schniter , Sundeep Rangan , Florent Krzakala , Lenka Zdeborova

In this paper, we present structured message passing (SMP), a unifying framework for approximate inference algorithms that take advantage of structured representations such as algebraic decision diagrams and sparse hash tables. These…

Artificial Intelligence · Computer Science 2013-09-27 Vibhav Gogate , Pedro Domingos

Decision tree models, including random forests and gradient-boosted decision trees, are widely used in machine learning due to their high predictive performance. However, their complex structures often make them difficult to interpret,…

Artificial Intelligence · Computer Science 2026-01-08 Akihiro Takemura , Masayuki Otani , Katsumi Inoue

Prompt tuning has achieved great success in transferring the knowledge from large pretrained vision-language models into downstream tasks, and has dominated the performance on visual grounding (VG). However, almost all existing prompt…

Computer Vision and Pattern Recognition · Computer Science 2023-05-22 Chenchi Zhang , Jun Xiao , Lei Chen , Jian Shao , Long Chen

A treap is a classic randomized binary search tree data structure that is easy to implement and supports O(\log n) expected time access. However, classic treaps do not take advantage of the input distribution or patterns in the input. Given…

Data Structures and Algorithms · Computer Science 2022-06-27 Honghao Lin , Tian Luo , David P. Woodruff
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