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The aim of this work is to extend to a general $S_m\times S_n$-module context the Grossman-Bizley paradigm that allows the enumeration of Dyck paths in a $m\times n$-rectangle. We obtain an explicit formula for the the "bi-Frobenius"…

Combinatorics · Mathematics 2015-03-16 Jean-Christophe Aval , François Bergeron

Ranking or assessing centrality in multivariate and non-Euclidean data is difficult because there is no canonical order and many depth notions become computationally fragile in high-dimensional or structured settings. We introduce a…

Methodology · Statistics 2026-02-24 Lingfeng Lyu , Doudou Zhou

We study the combinatorial FIFO stack-up problem. In delivery industry, bins have to be stacked-up from conveyor belts onto pallets with respect to customer orders. Given k sequences q_1, ..., q_k of labeled bins and a positive integer p,…

Data Structures and Algorithms · Computer Science 2015-10-16 Frank Gurski , Jochen Rethmann , Egon Wanke

Current work in planning with preferences assume that the user's preference models are completely specified and aim to search for a single solution plan. In many real-world planning scenarios, however, the user probably cannot provide any…

Artificial Intelligence · Computer Science 2015-03-17 Tuan Nguyen , Minh Do , Alfonso Gerevini , Ivan Serina , Biplav Srivastava , Subbarao Kambhampati

One of the most appreciated features of Fault Trees (FTs) is their simplicity, making them fit into industrial processes. As such processes evolve in time, considering new aspects of large modern systems, modelling techniques based on FTs…

Machine Learning · Computer Science 2024-03-21 Roberta De Fazio , Stefano Marrone , Laura Verde , Vincenzo Reccia , Paolo Valletta

Linear recursions of degree $k$ are determined by evaluating the sequence of Generalized Fibonacci Polynomials, $\{F_{k,n}(t_1,...,t_k)\}$ (isobaric reflects of the complete symmetric polynomials) at the integer vectors $(t_1,...,t_k)$. If…

Number Theory · Mathematics 2007-12-17 Trueman MacHenry , Kieh Wong

Preference learning has gained significant attention in tasks involving subjective human judgments, such as \emph{speech emotion recognition} (SER) and image aesthetic assessment. While pairwise frameworks such as RankNet offer robust…

Machine Learning · Computer Science 2025-08-14 Abinay Reddy Naini , Fernando Diaz , Carlos Busso

We explore the fundamental problem of sorting through the lens of learning-augmented algorithms, where algorithms can leverage possibly erroneous predictions to improve their efficiency. We consider two different settings: In the first…

Data Structures and Algorithms · Computer Science 2023-11-03 Xingjian Bai , Christian Coester

Let $(x_n)_{n\geq0}$ be a linear recurrence of order $k\geq2$ satisfying $$x_n=a_1x_{n-1}+a_2x_{n-2}+\dots+a_kx_{n-k}$$ for all integers $n\geq k$, where $a_1,\dots,a_k,x_0,\dots, x_{k-1}\in \mathbb{Z},$ with $a_k\neq0$. In [`The quotient…

Number Theory · Mathematics 2022-11-22 Deepa Antony , Rupam Barman

The input to the \emph{sets-$k$-means} problem is an integer $k\geq 1$ and a set $\mathcal{P}=\{P_1,\cdots,P_n\}$ of sets in $\mathbb{R}^d$. The goal is to compute a set $C$ of $k$ centers (points) in $\mathbb{R}^d$ that minimizes the sum…

Machine Learning · Computer Science 2020-03-10 Ibrahim Jubran , Murad Tukan , Alaa Maalouf , Dan Feldman

The basic random $k$-SAT problem is: Given a set of $n$ Boolean variables, and $m$ clauses of size $k$ picked uniformly at random from the set of all such clauses on our variables, is the conjunction of these clauses satisfiable? Here we…

Combinatorics · Mathematics 2019-06-13 Joel Larsson , Klas Markström

We consider a practical top-k route search problem: given a collection of points of interest (POIs) with rated features and traveling costs between POIs, a user wants to find k routes from a source to a destination and limited in a cost…

Social and Information Networks · Computer Science 2018-11-05 Hongwei Liang , Ke Wang

Clustering problems are well-studied in a variety of fields such as data science, operations research, and computer science. Such problems include variants of centre location problems, $k$-median, and $k$-means to name a few. In some cases,…

Data Structures and Algorithms · Computer Science 2017-07-17 Zachary Friggstad , Kamyar Khodamoradi , Mohsen Rezapour , Mohammad R. Salavatipour

Recently, the sequence-to-sequence models have made remarkable progress on the task of keyphrase generation (KG) by concatenating multiple keyphrases in a predefined order as a target sequence during training. However, the keyphrases are…

Computation and Language · Computer Science 2021-05-25 Jiacheng Ye , Tao Gui , Yichao Luo , Yige Xu , Qi Zhang

In this paper we consider a problem of searching a space of predictive models for a given training data set. We propose an iterative procedure for deriving a sequence of improving models and a corresponding sequence of sets of non-linear…

Machine Learning · Computer Science 2014-02-18 Michael Tetelman

We consider various {\em multi-vehicle versions of the minimum latency problem}. There is a fleet of $k$ vehicles located at one or more depot nodes, and we seek a collection of routes for these vehicles that visit all nodes so as to…

Data Structures and Algorithms · Computer Science 2014-11-18 Ian Post , Chaitanya Swamy

Although real-world text datasets, such as DNA sequences, are far from being uniformly random, average-case string searching algorithms perform significantly better than worst-case ones in most applications of interest. In this paper, we…

Data Structures and Algorithms · Computer Science 2018-01-16 Lorraine A. K. Ayad , Panagiotis Charalampopoulos , Costas S. Iliopoulos , Solon P. Pissis

Feature selection is popular for obtaining small, interpretable, yet highly accurate prediction models. Conventional feature-selection methods typically yield one feature set only, which might not suffice in some scenarios. For example,…

Machine Learning · Computer Science 2025-02-07 Jakob Bach

In this paper, we address the problem of generating preferred plans by combining the procedural control knowledge specified by Hierarchical Task Networks (HTNs) with rich qualitative user preferences. The outcome of our work is a language…

Artificial Intelligence · Computer Science 2009-09-04 Shirin Sohrabi , Sheila A. McIlraith

Consider Plurality with random tie-breaking. This paper uses standard axiomatic extensions of preferences over elements to preferences over sets (Kelly, Gardenfors, Responsiveness) to characterize all better-replies of a voter under…

Computer Science and Game Theory · Computer Science 2016-09-07 Reshef Meir