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Persistent homology is a popular and powerful tool for capturing topological features of data. Advances in algorithms for computing persistent homology have reduced the computation time drastically -- as long as the algorithm does not…

Computational Geometry · Computer Science 2013-10-03 Ulrich Bauer , Michael Kerber , Jan Reininghaus

It has been shown that a class of probabilistic domain models cannot be learned correctly by several existing algorithms which employ a single-link look ahead search. When a multi-link look ahead search is used, the computational complexity…

Artificial Intelligence · Computer Science 2013-02-08 TongSheng Chu , Yang Xiang

Tasks that model the relation between pairs of tokens in a string are a vital part of understanding natural language. Such tasks, in general, require exhaustive pair-wise comparisons of tokens, thus having a quadratic runtime complexity in…

Computation and Language · Computer Science 2023-12-13 Tianyu Liu , Afra Amini , Mrinmaya Sachan , Ryan Cotterell

Predicting the future is an important component of decision making. In most situations, however, there is not enough information to make accurate predictions. In this paper, we develop a theory of causal reasoning for predictive inference…

Artificial Intelligence · Computer Science 2013-04-10 Thomas L. Dean , Keiji Kanazawa

The $\lambda$-calculus is a handy formalism to specify the evaluation of higher-order programs. It is not very handy, however, when one interprets the specification as an execution mechanism, because terms can grow exponentially with the…

Logic in Computer Science · Computer Science 2019-07-16 Andrea Condoluci , Beniamino Accattoli , Claudio Sacerdoti Coen

Due to rapid data growth, statistical analysis of massive datasets often has to be carried out in a distributed fashion, either because several datasets stored in separate physical locations are all relevant to a given problem, or simply to…

Computation · Statistics 2016-02-08 Matthias Katzfuss , Dorit Hammerling

While there has been significant progress towards modelling coherence in written discourse, the work in modelling spoken discourse coherence has been quite limited. Unlike the coherence in text, coherence in spoken discourse is also…

Computation and Language · Computer Science 2021-01-05 Rajaswa Patil , Yaman Kumar Singla , Rajiv Ratn Shah , Mika Hama , Roger Zimmermann

We specify an algorithm that builds up a hierarchy of referential discourse segments from local centering data. The spatial extension and nesting of these discourse segments constrain the reachability of potential antecedents of an…

cmp-lg · Computer Science 2008-02-03 Udo Hahn , Michael Strube

We define the syntax and reduction relation of a recursively typed lambda calculus with a parallel case-function (a parallel conditional). The reduction is shown to be confluent. We interpret the recursive types as information systems in a…

Logic in Computer Science · Computer Science 2008-06-12 Fritz Müller

We envision a machine capable of solving mathematical problems. Dividing the quantitative reasoning system into two parts: thought processes and cognitive processes, we provide probabilistic descriptions of the architecture.

Artificial Intelligence · Computer Science 2023-08-21 Minzheng Li , Xiangzhong Fang , Haixin Yang

We present a joint modeling approach to identify salient discussion points in spoken meetings as well as to label the discourse relations between speaker turns. A variation of our model is also discussed when discourse relations are treated…

Computation and Language · Computer Science 2017-05-16 Kechen Qin , Lu Wang , Joseph Kim

We argue that semantic meanings of a sentence or clause can not be interpreted independently from the rest of a paragraph, or independently from all discourse relations and the overall paragraph-level discourse structure. With the goal of…

Computation and Language · Computer Science 2018-04-18 Zeyu Dai , Ruihong Huang

Computational effects are commonly modelled by monads, but often a monad can be presented by an algebraic theory of operations and equations. This talk is about monads and algebraic theories for languages for inference, and their…

Logic in Computer Science · Computer Science 2023-12-29 Cristina Matache , Sean Moss , Sam Staton , Ariadne Si Suo

We propose a formalization of the three-tier causal hierarchy of association, intervention, and counterfactuals as a series of probabilistic logical languages. Our languages are of strictly increasing expressivity, the first capable of…

Logic in Computer Science · Computer Science 2021-06-03 Duligur Ibeling , Thomas Icard

A correlation is a binary vector that encodes all possible positions of overlaps of two words, where an overlap for an ordered pair of words (u,v) occurs if a suffix of word u matches a prefix of word v. As multiple pairs can have the same…

Discrete Mathematics · Computer Science 2025-06-03 Eric Rivals , Pengfei Wang

With the rapid growth of large language models (LLMs), a wide range of methods have been developed to distribute computation and memory across hardware devices for efficient training and inference. While existing surveys provide descriptive…

Machine Learning · Computer Science 2026-02-11 Hossam Amer , Rezaul Karim , Ali Pourranjbar , Weiwei Zhang , Walid Ahmed , Boxing Chen

Recent advances in reasoning models have demonstrated significant improvements in accuracy by employing detailed and comprehensive reasoning processes. However, generating these lengthy reasoning sequences is computationally expensive and…

Computation and Language · Computer Science 2025-08-27 Yijiong Yu

Sophisticated machine models are increasingly used for high-stakes decisions in everyday life. There is an urgent need to develop effective explanation techniques for such automated decisions. Rule-Based Explanations have been proposed for…

Machine Learning · Computer Science 2022-11-01 Zixuan Geng , Maximilian Schleich , Dan Suciu

Traces and their extension called combined traces (comtraces) are two formal models used in the analysis and verification of concurrent systems. Both models are based on concepts originating in the theory of formal languages, and they are…

Logic in Computer Science · Computer Science 2015-07-01 Lukasz Mikulski

This paper presents a plausible reasoning system to illustrate some broad issues in knowledge representation: dualities between different reasoning forms, the difficulty of unifying complementary reasoning styles, and the approximate nature…

Artificial Intelligence · Computer Science 2013-03-26 Wray L. Buntine