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We propose a new synthesis algorithm that can efficiently search programs with local variables (e.g., those introduced by lambdas). Prior bottom-up synthesis algorithms are not able to evaluate programs with free local variables, and…

Programming Languages · Computer Science 2023-11-08 Xiang Li , Xiangyu Zhou , Rui Dong , Yihong Zhang , Xinyu Wang

Random effect models are popular statistical models for detecting and correcting spurious sample correlations due to hidden confounders in genome-wide gene expression data. In applications where some confounding factors are known,…

Methodology · Statistics 2021-11-08 Muhammad Ammar Malik , Tom Michoel

Large language models (LLMs) excel on multiple-choice clinical diagnosis benchmarks, yet it is unclear how much of this performance reflects underlying probabilistic reasoning. We study this through questions from MedQA, where the task is…

Computation and Language · Computer Science 2025-12-16 Furong Jia , Yuan Pu , Finn Guo , Monica Agrawal

We present a novel static analysis technique to derive higher moments for program variables for a large class of probabilistic loops with potentially uncountable state spaces. Our approach is fully automatic, meaning it does not rely on…

Programming Languages · Computer Science 2022-12-21 Marcel Moosbrugger , Miroslav Stankovič , Ezio Bartocci , Laura Kovács

Lifted inference algorithms exploit symmetries in probabilistic models to speed up inference. They show impressive performance when calculating unconditional probabilities in relational models, but often resort to non-lifted inference when…

Artificial Intelligence · Computer Science 2013-11-27 Guy Van den Broeck , Adnan Darwiche

In this paper, we initiate our discussion by demonstrating how Large Language Models (LLMs), when tasked with responding to queries, display a more even probability distribution in their answers if they are more adept, as opposed to their…

Computation and Language · Computer Science 2024-07-10 Tingyu Xia , Bowen Yu , Yuan Wu , Yi Chang , Chang Zhou

Reinforcement learning (RL) has become a predominant technique to align language models (LMs) with human preferences or promote outputs which are deemed to be desirable by a given reward function. Standard RL approaches optimize average…

Machine Learning · Computer Science 2025-10-27 Stephen Zhao , Aidan Li , Rob Brekelmans , Roger Grosse

Probabilistic programming is a growing area that strives to make statistical analysis more accessible, by separating probabilistic modelling from probabilistic inference. In practice this decoupling is difficult. No single inference…

Programming Languages · Computer Science 2022-04-15 Maria I. Gorinova

A fundamental challenge in developing high-impact machine learning technologies is balancing the need to model rich, structured domains with the ability to scale to big data. Many important problem areas are both richly structured and large…

Machine Learning · Computer Science 2017-11-20 Stephen H. Bach , Matthias Broecheler , Bert Huang , Lise Getoor

The central open question in Descriptive Complexity is whether there is a logic that characterizes deterministic polynomial time (PTIME) on relational structures. Towards this goal, we define a logic that is obtained from first-order logic…

Logic in Computer Science · Computer Science 2021-11-16 Eugenia Ternovska

There has been a great deal of recent interest in methods for performing lifted inference; however, most of this work assumes that the first-order model is given as input to the system. Here, we describe lifted inference algorithms that…

Artificial Intelligence · Computer Science 2012-05-14 Prithviraj Sen , Amol Deshpande , Lise Getoor

Probabilistic programming languages are valuable because they allow domain experts to express probabilistic models and inference algorithms without worrying about irrelevant details. However, for decades there remained an important and…

Programming Languages · Computer Science 2019-07-03 Rajan Walia , Praveen Narayanan , Jacques Carette , Sam Tobin-Hochstadt , Chung-chieh Shan

Abductive logic programs offer a formalism to declaratively represent and reason about problems in a variety of areas: diagnosis, decision making, hypothetical reasoning, etc. On the other hand, logic program updates allow us to express…

Artificial Intelligence · Computer Science 2014-05-09 Ari Saptawijaya , Luís Moniz Pereira

We study alpha factor mining, the automated discovery of predictive signals from noisy, non-stationary market data-under a practical requirement that mined factors be directly executable and auditable, and that the discovery process remain…

Artificial Intelligence · Computer Science 2026-04-10 Qinhong Lin , Ruitao Feng , Yinglun Feng , Zhenxin Huang , Yukun Chen , Zhongliang Yang , Linna Zhou , Binjie Fei , Jiaqi Liu , Yu Li

In probabilistic logic entailments, even moderate size problems can yield linear constraint systems with so many variables that exact methods are impractical. This difficulty can be remedied in many cases of interest by introducing a three…

Artificial Intelligence · Computer Science 2013-03-26 Paul Snow

Reinforcement learning with verifiable rewards (RLVR) has recently advanced the reasoning capabilities of large language models (LLMs). While prior work has emphasized algorithmic design, data curation, and reward shaping, we investigate…

Machine Learning · Computer Science 2025-07-10 Xinjie Chen , Minpeng Liao , Guoxin Chen , Chengxi Li , Biao Fu , Kai Fan , Xinggao Liu

Many statistical methods have been proposed for variable selection in the past century, but few balance inference and prediction tasks well. Here we report on a novel variable selection approach called Penalized regression with…

Methodology · Statistics 2021-06-16 Yi Zuo , Thomas G. Stewart , Jeffrey D. Blume

State-of-the-art inference approaches in probabilistic logic programming typically start by computing the relevant ground program with respect to the queries of interest, and then use this program for probabilistic inference using knowledge…

Artificial Intelligence · Computer Science 2019-11-19 Efthymia Tsamoura , Victor Gutierrez-Basulto , Angelika Kimmig

Arguing for the need to combine declarative and probabilistic programming, B\'ar\'any et al. (TODS 2017) recently introduced a probabilistic extension of Datalog as a "purely declarative probabilistic programming language." We revisit this…

Databases · Computer Science 2022-02-17 Martin Grohe , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Peter Lindner

Despite their success, policy gradient methods suffer from high variance of the gradient estimate, which can result in unsatisfactory sample complexity. Recently, numerous variance-reduced extensions of policy gradient methods with provably…

Machine Learning · Computer Science 2022-02-02 Matilde Gargiani , Andrea Zanelli , Andrea Martinelli , Tyler Summers , John Lygeros