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This thesis is intended to provide an account of the theory and applications of Operational Methods that allow the "translation" of the theory of special functions and polynomials into a "different" mathematical language. The language we…

Classical Analysis and ODEs · Mathematics 2018-03-09 Silvia Licciardi

Signature-based techniques give mathematical insight into the interactions between complex streams of evolving data. These insights can be quite naturally translated into numerical approaches to understanding streamed data, and perhaps…

Machine Learning · Statistics 2025-02-21 Terry Lyons , Andrew D. McLeod

We give a criterion to determine the large deviation rate functions for abstract dynamical systems on towers. As an application of this criterion we show the level 2 large deviation principle for some class of smooth interval maps with…

Dynamical Systems · Mathematics 2008-01-17 Yong Moo Chung

We propose a generative model for a sentence that uses two latent variables, with one intended to represent the syntax of the sentence and the other to represent its semantics. We show we can achieve better disentanglement between semantic…

Computation and Language · Computer Science 2019-04-03 Mingda Chen , Qingming Tang , Sam Wiseman , Kevin Gimpel

Continual learning aims to refine model parameters for new tasks while retaining knowledge from previous tasks. Recently, prompt-based learning has emerged to leverage pre-trained models to be prompted to learn subsequent tasks without the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Jisu Han , Jaemin Na , Wonjun Hwang

The semantic paradoxes are associated with self-reference or referential circularity. However, there are infinitary versions of the paradoxes, such as Yablo's paradox, that do not involve this form of circularity. It remains an open…

Combinatorics · Mathematics 2021-04-13 Brian Rabern , Landon Rabern

A common standpoint when designing the syntax of programming languages is that the grammar definition has to be unambiguous. However, requiring up front unambiguous grammars can force language designers to make more or less arbitrary…

Formal Languages and Automata Theory · Computer Science 2020-02-05 Viktor Palmkvist , Elias Castegren , Philipp Haller , David Broman

There is an apparent similarity between the descriptions of small-step operational semantics of imperative programs and the semantics of finite automata, so defining an abstraction mapping from semantics to automata and proving a simulation…

Programming Languages · Computer Science 2014-09-30 Nadezhda Baklanova , Wilmer Ricciotti , Jan-Georg Smaus , Martin Strecker

Deep learning methods have achieved great success in pedestrian detection, owing to its ability to learn features from raw pixels. However, they mainly capture middle-level representations, such as pose of pedestrian, but confuse positive…

Computer Vision and Pattern Recognition · Computer Science 2014-12-02 Yonglong Tian , Ping Luo , Xiaogang Wang , Xiaoou Tang

Many systems include components interacting with each other that evolve with possibly very different speeds. To deal with this situation many formal models adopt the abstraction of "zero-time transitions", which do not consume time. These…

Logic in Computer Science · Computer Science 2012-06-06 Luca Ferrucci , Dino Mandrioli , Angelo Morzenti , Matteo Rossi

Datalog has become a popular language for writing static analyses. Because Datalog is very limited, some implementations of Datalog for static analysis have extended it with new language features. However, even with these features it is…

Programming Languages · Computer Science 2018-09-18 Aaron Bembenek , Stephen Chong

We present a novel decision procedure for a fragment of separation logic (SL) with arbitrary nesting of separating conjunctions with boolean conjunctions, disjunctions, and guarded negations together with a support for the most common…

Logic in Computer Science · Computer Science 2024-03-29 Tomáš Dacík , Adam Rogalewicz , Tomáš Vojnar , Florian Zuleger

The present paper gives a mathematical, in particular, syntax-independent, formulation of intensionality and dynamics of computation in terms of games and strategies. Specifically, we give a game semantics for a higher-order programming…

Logic in Computer Science · Computer Science 2021-02-10 Norihiro Yamada , Samson Abramsky

Data originating from the Web, sensor readings and social media result in increasingly huge datasets. The so called Big Data comes with new scientific and technological challenges while creating new opportunities, hence the increasing…

Artificial Intelligence · Computer Science 2020-02-19 Ilias Tachmazidis , Grigoris Antoniou , Wolfgang Faber

We present natural semantics for acyclic as well as cyclic call-by-need lambda calculi, which are proved equivalent to the reduction semantics given by Ariola and Felleisen. The natural semantics are big-step and use global heaps, where…

Programming Languages · Computer Science 2009-07-28 Keiko Nakata , Masahito Hasegawa

Planning for sequential robotics tasks often requires integrated symbolic and geometric reasoning. TAMP algorithms typically solve these problems by performing a tree search over high-level task sequences while checking for kinematic and…

Dynamic languages are praised for their flexibility and expressiveness, but static analysis often yields many false positives and verification is cumbersome for lack of structure. Hence, unit testing is the prevalent incomplete method for…

Programming Languages · Computer Science 2015-02-06 Robert Jakob , Peter Thiemann

We show that strict deterministic propositional dynamic logic with intersection is highly undecidable, solving a problem in the Stanford Encyclopedia of Philosophy. In fact we show something quite a bit stronger. We introduce the…

Logic in Computer Science · Computer Science 2023-11-08 Robert Goldblatt , Marcel Jackson

Despite their ability to aid developers in detecting potential defects early in the software development life cycle, static analysis tools often suffer from precision issues (i.e., high false positive rates of reported alarms). To improve…

Software Engineering · Computer Science 2024-01-22 Yuwei Zhang , Ying Xing , Ge Li , Zhi Jin

This paper proposes a structure-aware decoding method based on large language models to address the difficulty of traditional approaches in maintaining both semantic integrity and structural consistency in nested and overlapping entity…

Computation and Language · Computer Science 2026-01-29 Zhimin Qiu , Di Wu , Feng Liu , Yuxiao Wang