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Based on the needs of convergence proofs of preconditioned proximal point methods, we introduce notions of partial strong submonotonicity and partial (metric) subregularity of set-valued maps. We study relationships between these two…

最优化与控制 · 数学 2020-03-02 Tuomo Valkonen

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…

人工智能 · 计算机科学 2008-10-02 Wilson Wong , Wei Liu , Mohammed Bennamoun

In this study, we introduce a new approach for learning language models by training them to estimate word-context pointwise mutual information (PMI), and then deriving the desired conditional probabilities from PMI at test time.…

计算与语言 · 计算机科学 2017-07-18 Oren Melamud , Ido Dagan , Jacob Goldberger

Partial Observability -- where agents can only observe partial information about the true underlying state of the system -- is ubiquitous in real-world applications of Reinforcement Learning (RL). Theoretically, learning a near-optimal…

机器学习 · 计算机科学 2022-12-19 Fan Chen , Yu Bai , Song Mei

Topic models, such as Latent Dirichlet Allocation (LDA), posit that documents are drawn from admixtures of distributions over words, known as topics. The inference problem of recovering topics from admixtures, is NP-hard. Assuming…

机器学习 · 统计学 2014-11-05 Trapit Bansal , Chiranjib Bhattacharyya , Ravindran Kannan

We consider the problem of distribution-free conformal prediction and the criterion of group conditional validity. This criterion is motivated by many practical scenarios including hidden stratification and group fairness. Existing methods…

机器学习 · 计算机科学 2023-03-21 Samuel Deng , Navid Ardeshir , Daniel Hsu

We propose Probabilistic Warp Consistency, a weakly-supervised learning objective for semantic matching. Our approach directly supervises the dense matching scores predicted by the network, encoded as a conditional probability distribution.…

计算机视觉与模式识别 · 计算机科学 2023-11-01 Prune Truong , Martin Danelljan , Fisher Yu , Luc Van Gool

We define and study a new notion of "robust simulations" between complexity classes which is intermediate between the traditional notions of infinitely-often and almost-everywhere, as well as a corresponding notion of "significant…

计算复杂性 · 计算机科学 2010-12-10 Lance Fortnow , Rahul Santhanam

Causal phenomena associated with rare events occur across a wide range of engineering problems, such as risk-sensitive safety analysis, accident analysis and prevention, and extreme value theory. However, current methods for causal…

机器学习 · 统计学 2023-07-19 Chih-Yuan Chiu , Kshitij Kulkarni , Shankar Sastry

Emerging computational paradigms, such as probabilistic and hybrid programming, introduce new primitive operations that often need to be combined with classic programming constructs. However, it still remains a challenge to provide a…

计算机科学中的逻辑 · 计算机科学 2018-04-13 Fredrik Dahlqvist , Renato Neves

A new geometrically-motivated algorithm for nonnegative matrix factorization is developed and applied to the discovery of latent "topics" for text and image "document" corpora. The algorithm is based on robustly finding and clustering…

机器学习 · 统计学 2016-11-17 Weicong Ding , Mohammad H. Rohban , Prakash Ishwar , Venkatesh Saligrama

Logical inference algorithms for conditional independence (CI) statements have important applications from testing consistency during knowledge elicitation to constraintbased structure learning of graphical models. We prove that the…

人工智能 · 计算机科学 2012-05-14 Mathias Niepert

Dichotomy theorems, which characterize the conditions under which a problem can be solved efficiently, have helped identify important tractability borders for as probabilistic query evaluation, view maintenance, query containment (among…

数据库 · 计算机科学 2024-05-09 Neha Makhija

This article deals with the spatio-temporal sensors deployment in order to maximize detection probability of an intelligent and randomly moving target in an area under surveillance. Our work is based on the rare events simulation framework.…

神经与进化计算 · 计算机科学 2017-02-24 Chouchane Mathieu , Paris Sébastien , Le Gland François , Ouladsine Mustapha

We study from the proof complexity perspective the (informal) proof search problem: Is there an optimal way to search for propositional proofs? We note that for any fixed proof system there exists a time-optimal proof search algorithm.…

计算复杂性 · 计算机科学 2022-07-12 Jan Krajicek

There are several existing algorithms that under appropriate assumptions can reliably identify a subset of the underlying causal relationships from observational data. This paper introduces the first computationally feasible score-based…

人工智能 · 计算机科学 2012-07-02 Subramani Mani , Peter L. Spirtes , Gregory F. Cooper

The single-index model is a statistical model for intrinsic regression where responses are assumed to depend on a single yet unknown linear combination of the predictors, allowing to express the regression function as $ \mathbb{E} [ Y | X ]…

统计理论 · 数学 2022-05-30 Alessandro Lanteri , Mauro Maggioni , Stefano Vigogna

Recently, topic modeling has been widely used to discover the abstract topics in text corpora. Most of the existing topic models are based on the assumption of three-layer hierarchical Bayesian structure, i.e. each document is modeled as a…

计算与语言 · 计算机科学 2017-04-10 Yi-Kun Tang , Xian-Ling Mao , Heyan Huang , Guihua Wen

Most existing algorithms for dictionary learning assume that all entries of the (high-dimensional) input data are fully observed. However, in several practical applications (such as hyper-spectral imaging or blood glucose monitoring), only…

机器学习 · 统计学 2018-04-26 Thanh V. Nguyen , Akshay Soni , Chinmay Hegde

In analyses of algorithms, a substantial amount of effort has often to be spent on the discussion of special cases. For example, when the analysis considers the cases X<Y and X>Y separately, one might have to be especially careful about…

数据结构与算法 · 计算机科学 2009-11-04 Tobias Jacobs