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When we work with information from multiple sources, the formalism each employs to handle uncertainty may not be uniform. In order to be able to combine these knowledge bases of different formats, we need to first establish a common basis…

Artificial Intelligence · Computer Science 2013-02-18 Choh Man Teng

We consider the problem of learning a discrete distribution in the presence of an $\epsilon$ fraction of malicious data sources. Specifically, we consider the setting where there is some underlying distribution, $p$, and each data source…

Machine Learning · Computer Science 2017-11-23 Mingda Qiao , Gregory Valiant

First-order probabilistic models combine representational power of first-order logic with graphical models. There is an ongoing effort to design lifted inference algorithms for first-order probabilistic models. We analyze lifted inference…

Artificial Intelligence · Computer Science 2012-05-14 Jacek Kisynski , David L Poole

A common problem in machine learning is to rank a set of n items based on pairwise comparisons. Here ranking refers to partitioning the items into sets of pre-specified sizes according to their scores, which includes identification of the…

Machine Learning · Computer Science 2018-01-08 Reinhard Heckel , Max Simchowitz , Kannan Ramchandran , Martin J. Wainwright

In this work we analyze the problem of, given the probability distribution of a population, questioning an unknown individual that is representative of the distribution so that our uncertainty about certain characteristics is significantly…

Computational Complexity · Computer Science 2026-01-22 David Pantoja , Ismael Rodriguez , Fernando Rubio , Clara Segura

The conventional top-K recommendation, which presents the top-K items with the highest ranking scores, is a common practice for generating personalized ranking lists. However, is this fixed-size top-K recommendation the optimal approach for…

Information Retrieval · Computer Science 2024-02-27 Wonbin Kweon , SeongKu Kang , Sanghwan Jang , Hwanjo Yu

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

Optimization and Control · Mathematics 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou

In multivariate or spatial extremes, inference for max-stable processes observed at a large collection of locations is among the most challenging problems in computational statistics, and current approaches typically rely on less expensive…

Computation · Statistics 2015-08-20 Stefano Castruccio , Raphaël Huser , Marc Genton

Let $\mathcal{S}$ be a dataset of $n$ 2-dimensional points. The top-$k$ dominating query aims to report the $k$ points that dominate the most points in $\mathcal{S}$. A point $p$ dominates a point $q$ iff all coordinates of $p$ are smaller…

Computational Geometry · Computer Science 2013-05-14 Andreas Kosmatopoulos , Kostas Tsichlas

Many known planning tasks have inherent constraints concerning the best order in which to achieve the goals. A number of research efforts have been made to detect such constraints and to use them for guiding search, in the hope of speeding…

Artificial Intelligence · Computer Science 2011-07-04 J. Hoffmann , J. Porteous , L. Sebastia

According to the probability ranking principle, the document set with the highest values of probability of relevance optimizes information retrieval effectiveness given the probabilities are estimated as accurately as possible. The key…

Information Retrieval · Computer Science 2011-08-30 Massimo Melucci

Imagine being able to ask questions to a black box model such as "Which adversarial examples exist?", "Does a specific attribute have a disproportionate effect on the model's prediction?" or "What kind of predictions could possibly be made…

Machine Learning · Computer Science 2021-05-19 Laurens Devos , Wannes Meert , Jesse Davis

Hidden variable graphical models can sometimes imply constraints on the observable distribution that are more complex than simple conditional independence relations. These observable constraints can falsify assumptions of the model that…

Methodology · Statistics 2026-05-12 Michael C. Sachs , Erin E. Gabriel , Robin J. Evans , Arvid Sjölander

In temporal ordered clustering, given a single snapshot of a dynamic network in which nodes arrive at distinct time instants, we aim at partitioning its nodes into $K$ ordered clusters $\mathcal{C}_1 \prec \cdots \prec \mathcal{C}_K$ such…

Social and Information Networks · Computer Science 2020-08-10 Krzysztof Turowski , Jithin K. Sreedharan , Wojciech Szpankowski

We study the problem of fairly allocating indivisible goods to agents in an online setting, where goods arrive sequentially and must be allocated irrevocably. Focusing on the popular fairness notions of envy-freeness, proportionality, and…

Computer Science and Game Theory · Computer Science 2026-05-29 Tzeh Yuan Neoh , Jannik Peters , Nicholas Teh

The assumption of complete domain knowledge is not warranted for robot planning and decision-making in the real world. It could be due to design flaws or arise from domain ramifications or qualifications. In such cases, existing planning…

Artificial Intelligence · Computer Science 2020-11-19 Akshay Sharma , Piyush Rajesh Medikeri , Yu Zhang

Incorporating domain knowledge into the modeling process is an effective way to improve learning accuracy. However, as it is provided by humans, domain knowledge can only be specified with some degree of uncertainty. We propose to…

Machine Learning · Computer Science 2012-05-14 Yi Mao , Guy Lebanon

Reconciling the tension between inductive learning and deductive reasoning in first-order relational domains is a longstanding challenge in AI. We study the problem of answering queries in a first-order relational probabilistic logic…

Artificial Intelligence · Computer Science 2026-02-17 Luise Ge , Brendan Juba , Kris Nilsson , Alison Shao

We consider encoding problems for range queries on arrays. In these problems the goal is to store a structure capable of recovering the answer to all queries that occupies the information theoretic minimum space possible, to within lower…

Data Structures and Algorithms · Computer Science 2015-06-16 Pawel Gawrychowski , Patrick K. Nicholson

In recent years, due to the wide applications of uncertain data, mining frequent itemsets over uncertain databases has attracted much attention. In uncertain databases, the support of an itemset is a random variable instead of a fixed…

Databases · Computer Science 2012-08-02 Yongxin Tong , Lei Chen , Yurong Cheng , Philip S. Yu