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We revisit the complexity analysis of the recursive version of the randomized greedy algorithm for computing a maximal independent set (MIS), originally analyzed by Yoshida, Yamamoto, and Ito (2009). They showed that, on average per vertex,…

Data Structures and Algorithms · Computer Science 2026-04-03 Mina Dalirrooyfard , Konstantin Makarychev , Slobodan Mitrović

Purpose: This study extends the structural theory of finite commutative ternary $\Gamma$-semirings into a computational and categorical framework for explicit classification and constructive reasoning. Methods: Constraint-driven enumeration…

Rings and Algebras · Mathematics 2026-02-04 Chandrasekhar Gokavarapu , Dr D Madhusudhana Rao

Emerging applications of control, estimation, and machine learning, ranging from target tracking to decentralized model fitting, pose resource constraints that limit which of the available sensors, actuators, or data can be simultaneously…

Optimization and Control · Mathematics 2020-12-15 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

We develop a new efficient sequential approximate leverage score algorithm, SALSA, using methods from randomized numerical linear algebra (RandNLA) for large matrices. We demonstrate that, with high probability, the accuracy of SALSA's…

Machine Learning · Statistics 2024-01-02 Ali Eshragh , Luke Yerbury , Asef Nazari , Fred Roosta , Michael W. Mahoney

Modern robots face challenges shared by humans, where machines must learn multiple sensorimotor skills and express them adaptively. Equipping robots with a human-like memory of how it feels to do multiple stereotypical movements can make…

Robotics · Computer Science 2026-05-14 Pranav Mahajan , Mufeng Tang , T. Ed Li , Ioannis Havoutis , Ben Seymour

We propose a general formalism of iterated random functions with semigroup property, under which exact and approximate Bayesian posterior updates can be viewed as specific instances. A convergence theory for iterated random functions is…

Machine Learning · Statistics 2013-11-05 Arash A. Amini , XuanLong Nguyen

This paper describes an abstract machine for linguistic formalisms that are based on typed feature structures, such as HPSG. The core design of the abstract machine is given in detail, including the compilation process from a high-level…

cmp-lg · Computer Science 2008-02-03 Shuly Wintner , Nissim Francez

Synthesis of program parts is very useful for concurrent systems. However, most synthesis approaches do not support common design tasks, like modifying a single process without having to re-synthesize or verify the whole system.…

Logic in Computer Science · Computer Science 2014-11-18 Roderick Bloem , Krishnendu Chatterjee , Swen Jacobs , Robert Koenighofer

Automated symmetry detection is still a difficult task in 2021. However, it has applications in computer vision, and it also plays an important part in understanding art. This paper focuses on aiding the latter by comparing different…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Koen Ponse , Anna V. Kononova , Maria Loleyt , Bas van Stein

We consider estimation procedures which are recursive in the sense that each successive estimator is obtained from the previous one by a simple adjustment. We propose a wide class of recursive estimation procedures for the general…

Statistics Theory · Mathematics 2007-05-23 Teo Sharia

Automated Short Answer Scoring (ASAS) is a critical component in educational assessment. While traditional ASAS systems relied on rule-based algorithms or complex deep learning methods, recent advancements in Generative Language Models…

Computation and Language · Computer Science 2024-08-08 Zifan Wang , Christopher Ormerod

This paper presents a simulation-based framework for sequential inference from partially and discretely observed point process (PP's) models with static parameters. Taking on a Bayesian perspective for the static parameters, we build upon…

Methodology · Statistics 2012-01-24 James S. Martin , Ajay Jasra , Emma McCoy

In the era of transformer models, masked self-supervised learning (SSL) has become a foundational training paradigm. A defining feature of masked SSL is that training aggregates predictions across many masking patterns, giving rise to a…

Machine Learning · Statistics 2026-02-02 Arie Wortsman Zurich , Federica Gerace , Bruno Loureiro , Yue M. Lu

State and measurement tomography make assumptions about the experimental states or measurements. These assumptions are often not justified because state preparation and measurement errors are unavoidable in practice. Here we describe how…

Quantum Physics · Physics 2015-02-12 Cyril Stark

We consider a network of sensors deployed to sense a spatio-temporal field and estimate a parameter of interest. We are interested in the case where the temporal process sensed by each sensor can be modeled as a state-space process that is…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-04-12 S. Sundhar Ram , V. V. Veeravalli , A. Nedic

The Gaussian process state space model (GPSSM) is a non-linear dynamical system, where unknown transition and/or measurement mappings are described by GPs. Most research in GPSSMs has focussed on the state estimation problem, i.e.,…

Machine Learning · Statistics 2017-11-08 Stefanos Eleftheriadis , Thomas F. W. Nicholson , Marc Peter Deisenroth , James Hensman

We define new abstract machines for game semantics which correspond to networks of conventional computers, and can be used as an intermediate representation for compilation targeting distributed systems. This is achieved in two steps. First…

Logic in Computer Science · Computer Science 2013-04-16 Olle Fredriksson , Dan R. Ghica

Sparse generalized additive models (GAMs) are an extension of sparse generalized linear models which allow a model's prediction to vary non-linearly with an input variable. This enables the data analyst build more accurate models,…

Methodology · Statistics 2020-01-15 J. Kenneth Tay , Robert Tibshirani

Stochastic optimization naturally appear in many application areas, including machine learning. Our goal is to go further in the analysis of the Stochastic Average Gradient Accelerated (SAGA) algorithm. To achieve this, we introduce a new…

Optimization and Control · Mathematics 2024-10-08 Luis Fredes , Bernard Bercu , Eméric Gbaguidi

Quantum algorithms for diverse problems, including search and optimization problems, require the implementation of a reflection operator over a target state. Commonly, such reflections are approximately implemented using phase estimation.…

Quantum Physics · Physics 2018-03-08 Anirban Narayan Chowdhury , Yigit Subasi , Rolando D. Somma