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Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees. Substitutions in sequences are modelled through a continuous-time Markov process, characterised by an instantaneous rate matrix, which standard…

Populations and Evolution · Quantitative Biology 2020-07-20 Naomi E. Hannaford , Sarah E. Heaps , Tom M. W. Nye , Tom A. Williams , T. Martin Embley

In the presence of recombination, the evolutionary relationships between a set of sampled genomes cannot be described by a single genealogical tree. Instead, the genomes are related by a complex, interwoven collection of genealogies…

Populations and Evolution · Quantitative Biology 2023-10-19 Alexander L. Lewanski , Michael C. Grundler , Gideon S. Bradburd

Speculative decoding is an inference-acceleration method for large language models (LLMs) where a small language model generates a draft-token sequence which is further verified by the target LLM in parallel. Recent works have advanced this…

Machine Learning · Computer Science 2024-03-06 Wonseok Jeon , Mukul Gagrani , Raghavv Goel , Junyoung Park , Mingu Lee , Christopher Lott

Autoregressive sequence models achieve state-of-the-art performance in domains like machine translation. However, due to the autoregressive factorization nature, these models suffer from heavy latency during inference. Recently,…

Machine Learning · Computer Science 2020-01-10 Zhiqing Sun , Zhuohan Li , Haoqing Wang , Zi Lin , Di He , Zhi-Hong Deng

Sparse residual tree (SRT) is an adaptive exploration method for multivariate scattered data approximation. It leads to sparse and stable approximations in areas where the data is sufficient or redundant, and points out the possible local…

Numerical Analysis · Mathematics 2019-05-15 Xin Xu , Xiaopeng Luo

A client/encoder edits a file, as modeled by an insertion-deletion (InDel) process. An old copy of the file is stored remotely at a data-centre/decoder, and is also available to the client. We consider the problem of throughput- and…

Information Theory · Computer Science 2015-03-02 Qiwen Wang , Viveck Cadambe , Sidharth Jaggi , Moshe Schwartz , Muriel Médard

Language Models (LMs) are increasingly used in applications where generated outputs must satisfy strict semantic or syntactic constraints. Existing approaches to constrained generation fall along a spectrum: greedy constrained decoding…

Artificial Intelligence · Computer Science 2025-10-03 Paweł Parys , Sairam Vaidya , Taylor Berg-Kirkpatrick , Loris D'Antoni

Morphological reconstruction (MR) is often employed by seeded image segmentation algorithms such as watershed transform and power watershed as it is able to filter seeds (regional minima) to reduce over-segmentation. However, MR might…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Tao Lei , Xiaohong Jia , Tongliang Liu , Shigang Liu , Hongying Meng , Asoke K. Nandi

We introduce an algorithm for generating a random sequence of fragmentation trees, which we call the ancestral branching algorithm. This algorithm builds on the recursive partitioning structure of a tree and gives rise to an associated…

Probability · Mathematics 2011-11-02 Harry Crane

Extended sequence generation often leads to degradation in contextual consistency due to the inability of conventional self-attention mechanisms to effectively retain long-range dependencies. Existing approaches, including memory…

Computation and Language · Computer Science 2025-01-30 Jonathan Teel , Jocasta Cumberbatch , Raphael Benington , Quentin Baskerville

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

Denoising diffusion models have recently achieved remarkable success in image generation, capturing rich information about natural image statistics. This makes them highly promising for image reconstruction, where the goal is to recover a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Shady Abu-Hussein , Tom Tirer , Raja Giryes

End-to-end (E2E) models have gained attention in the research field of automatic speech recognition (ASR). Many E2E models proposed so far assume left-to-right autoregressive generation of an output token sequence except for connectionist…

Audio and Speech Processing · Electrical Eng. & Systems 2020-11-17 Yuya Fujita , Shinji Watanabe , Motoi Omachi , Xuankai Chan

Most existing sequence generation models produce outputs in one pass, usually left-to-right. However, this is in contrast with a more natural approach that humans use in generating content; iterative refinement and editing. Recent work has…

Computation and Language · Computer Science 2022-05-26 Machel Reid , Graham Neubig

Automatic speech recognition (ASR) is a capability which enables a program to process human speech into a written form. Recent developments in artificial intelligence (AI) have led to high-accuracy ASR systems based on deep neural networks,…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-05 Thomas Bohnstingl , Ayush Garg , Stanisław Woźniak , George Saon , Evangelos Eleftheriou , Angeliki Pantazi

CRISPR technology has enabled large-scale cell lineage tracing for complex multicellular organisms by mutating synthetic genomic barcodes during organismal development. However, these sophisticated biological tools currently use ad-hoc and…

Quantitative Methods · Quantitative Biology 2019-04-02 Jean Feng , William S DeWitt , Aaron McKenna , Noah Simon , Amy Willis , Frederick A Matsen

We propose methods for density estimation and data synthesis using a novel form of unsupervised random forests. Inspired by generative adversarial networks, we implement a recursive procedure in which trees gradually learn structural…

Machine Learning · Statistics 2023-03-14 David S. Watson , Kristin Blesch , Jan Kapar , Marvin N. Wright

In this paper, we propose Random Forests by Random Weights (RF-RW), a theoretically grounded and practically effective alternative RF modelling for nonlinear time series data, where existing RF-based approaches struggle to adequately…

Methodology · Statistics 2025-11-18 Shihao Zhang , Zudi Lu , Chao Zheng

Arc-standard derivations over projective dependency trees can be interpreted as the incremental construction of lexicalized ordered trees with contiguous yields. Each \textsc{shift}, \textsc{leftarc}, and \textsc{rightarc} transition…

Computation and Language · Computer Science 2026-05-28 Zihao Huang , Ai Ka Lee , Jungyeul Park

Tree search has recently emerged as a powerful framework for aligning generative models with task-specific rewards at test time. Applying tree search to Masked Diffusion Language Models, however, introduces two key challenges: (i) parallel…

Computation and Language · Computer Science 2025-09-30 Zichao Yu , Ming Li , Wenyi Zhang , Weiguo Gao
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