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Interpretable models are important, but what happens when the model is updated on new training data? We propose an algorithm for updating a decision tree while minimising the number of changes to the tree that a human would need to audit.…

Machine Learning · Computer Science 2024-08-30 Anj Simmons , Scott Barnett , Anupam Chaudhuri , Sankhya Singh , Shangeetha Sivasothy

Minibatch decomposition methods for empirical risk minimization are commonly analysed in a stochastic approximation setting, also known as sampling with replacement. On the other hands modern implementations of such techniques are…

Machine Learning · Computer Science 2023-01-09 Edouard Pauwels

Propositional representation services such as truth maintenance systems offer powerful support for incremental, interleaved, problem-model construction and evaluation. Probabilistic inference systems, in contrast, have lagged behind in…

Artificial Intelligence · Computer Science 2013-03-08 Bruce D'Ambrosio

In this paper we relate a number of parsing algorithms which have been developed in very different areas of parsing theory, and which include deterministic algorithms, tabular algorithms, and a parallel algorithm. We show that these…

cmp-lg · Computer Science 2008-02-03 Mark-Jan Nederhof

This paper describes some applications of an incremental implementation of the principal component analysis (PCA). The algorithm updates the transformation coefficients matrix on-line for each new sample, without the need to keep all the…

Machine Learning · Statistics 2019-08-14 Vittorio Lippi , Giacomo Ceccarelli

The explosion in the amount of data available for analysis often necessitates a transition from batch to incremental clustering methods, which process one element at a time and typically store only a small subset of the data. In this paper,…

Machine Learning · Computer Science 2014-06-26 Margareta Ackerman , Sanjoy Dasgupta

Some recent approaches for scalable offline partial evaluation of logic programs include a size-change analysis for ensuring both so called local and global termination. In this work|inspired by experimental evaluation|we introduce several…

Programming Languages · Computer Science 2009-03-13 Michael Leuschel , Salvador Tamarit , German Vidal

When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural…

Statistics Theory · Mathematics 2018-06-28 Nadezhda Gribkova , Ričardas Zitikis

Sampling is a fundamental technique, and sampling without replacement is often desirable when duplicate samples are not beneficial. Within machine learning, sampling is useful for generating diverse outputs from a trained model. We present…

Machine Learning · Computer Science 2021-07-21 Kensen Shi , David Bieber , Charles Sutton

The state-of-the-art error correcting codes are based on large random constructions (random graphs, random permutations, ...) and are decoded by linear-time iterative algorithms. Because of these features, they are remarkable examples of…

Disordered Systems and Neural Networks · Physics 2016-08-31 Silvio Franz , Michele Leone , Andrea Montanari , Federico Ricci-Tersenghi

Small random perturbations may have a dramatic impact on the long time evolution of dynamical systems, and large deviation theory is often the right theoretical framework to understand these effects. At the core of the theory lies the…

Numerical Analysis · Mathematics 2017-10-11 Tobias Grafke , Tobias Schaefer , Eric Vanden-Eijnden

The concept of information has emerged as a language in its own right, bridging several disciplines that analyze natural phenomena and man-made systems. Integrated information has been introduced as a metric to quantify the amount of…

Neurons and Cognition · Quantitative Biology 2019-06-10 Alberto Hernández-Espinosa , Héctor Zenil , Narsis A. Kiani , Jesper Tegnér

Human-robot interaction requires robots to process language incrementally, adapting their actions in real-time based on evolving speech input. Existing approaches to language-guided robot motion planning typically assume fully specified…

Robotics · Computer Science 2026-02-16 Mitchell Abrams , Thies Oelerich , Christian Hartl-Nesic , Andreas Kugi , Matthias Scheutz

In the recent years several research efforts have focused on the concept of time granularity and its applications. A first stream of research investigated the mathematical models behind the notion of granularity and the algorithms to manage…

Artificial Intelligence · Computer Science 2011-10-12 C. Bettini , S. Mascetti , X. S. Wang

In this paper, we introduce the problem of rewriting finite formal languages using syntactic macros such that the rewriting is minimal in size. We present polynomial-time algorithms to solve variants of this problem and show their…

Artificial Intelligence · Computer Science 2023-12-19 Christian Kindermann , Anne-Marie George , Bijan Parsia , Uli Sattler

Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

Data Structures and Algorithms · Computer Science 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

We propose a multi-scale extension of conformal prediction, an approach that constructs prediction sets with finite-sample coverage guarantees under minimal statistical assumptions. Classic conformal prediction relies on a single notion of…

Statistics Theory · Mathematics 2025-02-11 Ali Baheri , Marzieh Amiri Shahbazi

We define the complexity of a continuous-time linear system to be the minimum number of bits required to describe its forward increments to a desired level of fidelity, and compute this quantity using the rate distortion function of a…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Eric Wendel , John Baillieul , Joseph Hollmann

Maintenance of association rules is an interesting problem. Several incremental maintenance algorithms were proposed since the work of (Cheung et al, 1996). The majority of these algorithms maintain rule bases assuming that support…

Artificial Intelligence · Computer Science 2017-01-31 Mohamed Anis Bach Tobji , Mohamed Salah Gouider

The ability to find short representations, i.e. to compress data, is crucial for many intelligent systems. We present a theory of incremental compression showing that arbitrary data strings, that can be described by a set of features, can…

Information Theory · Computer Science 2020-09-15 Arthur Franz , Oleksandr Antonenko , Roman Soletskyi