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We consider the problem of exact probabilistic inference for Union of Conjunctive Queries (UCQs) on tuple-independent databases. For this problem, two approaches currently coexist. In the extensional method, query evaluation is performed by…

Databases · Computer Science 2021-04-29 Mikaël Monet

Intensional computation derives concrete outputs from abstract function definitions; extensional computation defines functions through explicit input-output pairs. In formal semantics: intensional computation interprets expressions as…

Category Theory · Mathematics 2024-09-05 Daniel Quigley

We describe a mathematical structure that can give extensional denotational semantics to higher-order probabilistic programs. It is not limited to discrete probabilities, and it is compatible with integration in a way the models that have…

Logic in Computer Science · Computer Science 2021-04-14 Guillaume Geoffroy

Most research related to unithood were conducted as part of a larger effort for the determination of termhood. Consequently, novelties are rare in this small sub-field of term extraction. In addition, existing work were mostly empirically…

Artificial Intelligence · Computer Science 2008-10-02 Wilson Wong , Wei Liu , Mohammed Bennamoun

We present a Temporal Rule-Anchored Chain-of-Evidence (TRACE) on knowledge graphs for interpretable stock movement prediction that unifies symbolic relational priors, dynamic graph exploration, and LLM-guided decision making in a single…

Computational Engineering, Finance, and Science · Computer Science 2026-03-16 Qianggang Ding , Haochen Shi , Luis Castejón Lozano , Miguel Conner , Juan Abia , Luis Gallego-Ledesma , Joshua Fellowes , Gerard Conangla Planes , Adam Elwood , Bang Liu

We look at intensionality from the perspective of computation. In particular, we review how game semantics has been used to characterize the sequential functional processes, leading to powerful and flexible methods for constructing fully…

Logic in Computer Science · Computer Science 2017-05-16 Samson Abramsky

Synchronous languages are now a standard industry tool for critical embedded systems. Designers write high-level specifications by composing streams of values using block diagrams. These languages have been extended with Bayesian reasoning…

Programming Languages · Computer Science 2023-09-11 Guillaume Baudart , Louis Mandel , Christine Tasson

Intensionality is a phenomenon that occurs in logic and computation. In the most general sense, a function is intensional if it operates at a level finer than (extensional) equality. This is a familiar setting for computer scientists, who…

Logic in Computer Science · Computer Science 2017-12-27 G. A. Kavvos

Probabilistic programming languages rely fundamentally on some notion of sampling, and this is doubly true for probabilistic programming languages which perform Bayesian inference using Monte Carlo techniques. Verifying samplers - proving…

Programming Languages · Computer Science 2023-04-27 Fredrik Dahlqvist , Alexandra Silva , William Smith

Topological models of empirical and formal inquiry are increasingly prevalent. They have emerged in such diverse fields as domain theory [1, 16], formal learning theory [18], epistemology and philosophy of science [10, 15, 8, 9, 2],…

Machine Learning · Computer Science 2017-08-01 Konstantin Genin , Kevin T. Kelly

We study the system IFP of intuitionistic fixed point logic, an extension of intuitionistic first-order logic by strictly positive inductive and coinductive definitions. We define a realizability interpretation of IFP and use it to extract…

Logic in Computer Science · Computer Science 2023-07-25 Ulrich Berger , Hideki Tsuiki

Probing experiments investigate the extent to which neural representations make properties -- like part-of-speech -- predictable. One suggests that a representation encodes a property if probing that representation produces higher accuracy…

Computation and Language · Computer Science 2021-09-21 John Hewitt , Kawin Ethayarajh , Percy Liang , Christopher D. Manning

Essential tasks for the verification of probabilistic programs include bounding expected outcomes and proving termination in finite expected runtime. We contribute a simple yet effective inductive synthesis approach for proving such…

Logic in Computer Science · Computer Science 2023-02-09 Kevin Batz , Mingshuai Chen , Sebastian Junges , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

We extend the correspondence between two-stage coding procedures in data compression and penalized likelihood procedures in statistical estimation. Traditionally, this had required restriction to countable parameter spaces. We show how to…

Statistics Theory · Mathematics 2015-05-08 Sabyasachi Chatterjee , Andrew Barron

Modelling term dependence in IR aims to identify co-occurring terms that are too heavily dependent on each other to be treated as a bag of words, and to adapt the indexing and ranking accordingly. Dependent terms are predominantly…

Information Retrieval · Computer Science 2016-10-31 Christina Lioma , Jakob Grue Simonsen , Birger Larsen , Niels Dalum Hansen

Probabilistic team semantics is a framework for logical analysis of probabilistic dependencies. Our focus is on the axiomatizability, complexity, and expressivity of probabilistic inclusion logic and its extensions. We identify a natural…

Logic in Computer Science · Computer Science 2021-12-22 Miika Hannula , Jonni Virtema

In probabilistic program analysis, quantitative analysis aims at deriving tight numerical bounds for probabilistic properties such as expectation and assertion probability. Most previous works consider numerical bounds over the whole…

Programming Languages · Computer Science 2026-01-06 Tengshun Yang , Shenghua Feng , Hongfei Fu , Naijun Zhan , Jingyu Ke , Shiyang Wu

This paper develops likelihood-based methods for estimation, inference, model selection, and forecasting of continuous-time integer-valued trawl processes. The full likelihood of integer-valued trawl processes is, in general, highly…

Methodology · Statistics 2023-02-24 Mikkel Bennedsen , Asger Lunde , Neil Shephard , Almut E. D. Veraart

Implicit probabilistic models are models defined naturally in terms of a sampling procedure and often induces a likelihood function that cannot be expressed explicitly. We develop a simple method for estimating parameters in implicit models…

Machine Learning · Computer Science 2018-10-23 Ke Li , Jitendra Malik

We present a new symbolic execution semantics of probabilistic programs that include observe statements and sampling from continuous distributions. Building on Kozen's seminal work, this symbolic semantics consists of a countable collection…

Programming Languages · Computer Science 2023-07-20 Erik Voogd , Einar Broch Johnsen , Alexandra Silva , Zachary J. Susag , Andrzej Wąsowski
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