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This paper advances the theoretical understanding of active learning label complexity for decision trees as binary classifiers. We make two main contributions. First, we provide the first analysis of the disagreement coefficient for…

Reconstructing force fields (FFs) from atomistic simulation data is a challenge since accurate data can be highly expensive. Here, machine learning (ML) models can help to be data economic as they can be successfully constrained using the…

Chemical Physics · Physics 2022-10-27 Niklas Frederik Schmitz , Klaus-Robert Müller , Stefan Chmiela

We address the problem of learning binary decision trees that partition data for some downstream task. We propose to learn discrete parameters (i.e., for tree traversals and node pruning) and continuous parameters (i.e., for tree split…

Machine Learning · Computer Science 2021-06-15 Valentina Zantedeschi , Matt J. Kusner , Vlad Niculae

Linear model trees are regression trees that incorporate linear models in the leaf nodes. This preserves the intuitive interpretation of decision trees and at the same time enables them to better capture linear relationships, which is hard…

Machine Learning · Statistics 2024-07-10 Jakob Raymaekers , Peter J. Rousseeuw , Tim Verdonck , Ruicong Yao

We propose a novel method for automatic program synthesis. P-Tree Programming represents the program search space through a single probabilistic prototype tree. From this prototype tree we form program instances which we evaluate on a given…

Artificial Intelligence · Computer Science 2017-07-13 Christian Oesch

Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees relating species. Along branches, sequence evolution is modelled using a continuous-time Markov process characterised by an instantaneous rate…

Automatic differentiation is a technique which allows a programmer to define a numerical computation via compositions of a broad range of numeric and computational primitives and have the underlying system support the computation of partial…

Mathematical Software · Computer Science 2017-06-02 Samer Abdallah

We develop a theoretical framework for the analysis of oblique decision trees, where the splits at each decision node occur at linear combinations of the covariates (as opposed to conventional tree constructions that force axis-aligned…

Statistics Theory · Mathematics 2023-09-01 Matias D. Cattaneo , Rajita Chandak , Jason M. Klusowski

Likelihood-based policy gradient methods are the dominant approach for training robot control policies from rewards. These methods rely on differentiable action likelihoods, which constrain policy outputs to simple distributions like…

Artificial intelligence has recently experienced remarkable advances, fueled by large models, vast datasets, accelerated hardware, and, last but not least, the transformative power of differentiable programming. This new programming…

Machine Learning · Computer Science 2025-06-25 Mathieu Blondel , Vincent Roulet

Decision trees and diffusion models are ostensibly disparate model classes, one discrete and hierarchical, the other continuous and dynamic. This work unifies the two by establishing a crisp mathematical correspondence between hierarchical…

Machine Learning · Computer Science 2026-05-22 Sai Niranjan Ramachandran , Suvrit Sra

A phylogenetic tree is an important way in Bioinformatics to find the evolutionary relationship among biological species. In this research, a proposed model is described for the estimation of a phylogenetic tree for a given set of data. To…

Populations and Evolution · Quantitative Biology 2025-09-03 S M Rafiuddin

Automatic differentiation (AD) is a set of techniques that systematically applies the chain rule to compute the gradients of functions without requiring human intervention. Although the fundamentals of this technology were established…

Machine Learning · Computer Science 2025-09-03 Afif Boudaoud , Alexandru Calotoiu , Marcin Copik , Torsten Hoefler

Since the advent of modern bioinformatics, the challenging, multifaceted problem of reconstructing phylogenetic history from biological sequences has hatched perennial statistical and algorithmic innovation. Studies of the phylogenetic…

Data Structures and Algorithms · Computer Science 2024-03-05 Matthew Andres Moreno , Santiago Rodriguez Papa , Emily Dolson

In this paper, we employ Probabilistic Neural Network (PNN) with image and data processing techniques to implement a general purpose automated leaf recognition algorithm. 12 leaf features are extracted and orthogonalized into 5 principal…

Artificial Intelligence · Computer Science 2007-07-31 Stephen Gang Wu , Forrest Sheng Bao , Eric You Xu , Yu-Xuan Wang , Yi-Fan Chang , Qiao-Liang Xiang

We present an efficient phylogenetic reconstruction algorithm allowing insertions and deletions which provably achieves a sequence-length requirement (or sample complexity) growing polynomially in the number of taxa. Our algorithm is…

Probability · Mathematics 2013-02-25 Constantinos Daskalakis , Sebastien Roch

Regression trees are one of the oldest forms of AI models, and their predictions can be made without a calculator, which makes them broadly useful, particularly for high-stakes applications. Within the large literature on regression trees,…

Machine Learning · Computer Science 2023-04-11 Rui Zhang , Rui Xin , Margo Seltzer , Cynthia Rudin

Machine learning has an emerging critical role in high-performance computing to modulate simulations, extract knowledge from massive data, and replace numerical models with efficient approximations. Decision forests are a critical tool…

Performance · Computer Science 2018-06-22 James Browne , Tyler M. Tomita , Disa Mhembere , Randal Burns , Joshua T. Vogelstein

Computational inference of dated evolutionary histories relies upon various hypotheses about RNA, DNA, and protein sequence mutation rates. Using mutation rates to infer these dated histories is referred to as molecular clock assumption.…

Populations and Evolution · Quantitative Biology 2021-01-11 Lena Collienne , Kieran Elmes , Mareike Fischer , David Bryant , Alex Gavryushkin

Gradient-based solvers risk convergence to local optima, leading to incorrect researcher inference. Heuristic-based algorithms are able to ``break free" of these local optima to eventually converge to the true global optimum. However, given…

Econometrics · Economics 2024-01-17 Zachary Porreca