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The issue of identifiers is crucial in distributed computing. Informally, identities are used for tackling two of the fundamental difficulties that areinherent to deterministic distributed computing, namely: (1) symmetry breaking, and (2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-23 Pierre Fraigniaud , Magnús Halldórsson , Amos Korman

We investigate distribution testing with access to non-adaptive conditional samples. In the conditional sampling model, the algorithm is given the following access to a distribution: it submits a query set $S$ to an oracle, which returns a…

Data Structures and Algorithms · Computer Science 2018-11-06 Gautam Kamath , Christos Tzamos

Detecting commuting patterns or migration patterns in movement data is an important problem in computational movement analysis. Given a trajectory, or set of trajectories, this corresponds to clustering similar subtrajectories. We study…

Computational Geometry · Computer Science 2021-11-01 Joachim Gudmundsson , Sampson Wong

We give a deterministic algorithm for computing a global minimum vertex cut in a vertex-weighted graph $n$ vertices and $m$ edges in $\widehat O(mn)$ time. This breaks the long-standing $\widehat \Omega(n^{4})$-time barrier in dense graphs,…

Data Structures and Algorithms · Computer Science 2025-03-28 Yonggang Jiang , Chaitanya Nalam , Thatchaphol Saranurak , Sorrachai Yingchareonthawornchai

Symmetry breaking problems are among the most well studied in the field of distributed computing and yet the most fundamental questions about their complexity remain open. In this paper we work in the LOCAL model (where the input graph and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-26 Leonid Barenboim , Michael Elkin , Seth Pettie , Johannes Schneider

We derive an accounting identity for predictive models that links accuracy with common fairness criteria. The identity shows that for globally calibrated models, the weighted sums of miscalibration within groups and error imbalance across…

Machine Learning · Computer Science 2026-01-29 Hadi Elzayn , Jacob Goldin

We present a novel framework for studying combinatorial identities through the geometric lens of subset distributions in q-valued cubes. By analyzing how elements of arbitrary subsets are distributed among the faces of the cube E_q^n, we…

Discrete Mathematics · Computer Science 2025-07-02 Jamolidin K. Abdurakhmanov

We propose a new hierarchy of semidefinite programming relaxations for inference problems. As test cases, we consider the problem of community detection in block models. The vertices are partitioned into $k$ communities, and a graph is…

Data Structures and Algorithms · Computer Science 2020-09-22 Jess Banks , Sidhanth Mohanty , Prasad Raghavendra

We investigate the problem of identity testing for multidimensional histogram distributions. A distribution $p: D \rightarrow \mathbb{R}_+$, where $D \subseteq \mathbb{R}^d$, is called a $k$-histogram if there exists a partition of the…

Data Structures and Algorithms · Computer Science 2019-02-20 Ilias Diakonikolas , Daniel M. Kane , John Peebles

The application of machine learning in safety-critical systems requires a reliable assessment of uncertainty. However, deep neural networks are known to produce highly overconfident predictions on out-of-distribution (OOD) data. Even if…

Machine Learning · Computer Science 2022-10-19 Alexander Meinke , Julian Bitterwolf , Matthias Hein

The densest subgraph problem, introduced in the 80s by Picard and Queyranne as well as Goldberg, is a classic problem in combinatorial optimization with a wide range of applications. The lowest outdegree orientation problem is known to be…

Data Structures and Algorithms · Computer Science 2022-09-13 Hsin-Hao Su , Hoa T. Vu

Image classification in the open-world must handle out-of-distribution (OOD) images. Systems should ideally reject OOD images, or they will map atop of known classes and reduce reliability. Using open-set classifiers that can reject OOD…

Computer Vision and Pattern Recognition · Computer Science 2022-01-10 Mohsen Jafarzadeh , Touqeer Ahmad , Akshay Raj Dhamija , Chunchun Li , Steve Cruz , Terrance E. Boult

We initiate a systematic study of pseudo-deterministic quantum algorithms. These are quantum algorithms that, for any input, output a canonical solution with high probability. Focusing on the query complexity model, our main contributions…

Quantum Physics · Physics 2026-02-20 Hugo Aaronson , Tom Gur , Jiawei Li

We present near-optimal algorithms for detecting small vertex cuts in the CONGEST model of distributed computing. Despite extensive research in this area, our understanding of the vertex connectivity of a graph is still incomplete,…

Data Structures and Algorithms · Computer Science 2023-06-21 Merav Parter , Asaf Petruschka

Subgraph Isomorphism is a very basic graph problem, where given two graphs $G$ and $H$ one is to check whether $G$ is a subgraph of $H$. Despite its simple definition, the Subgraph Isomorphism problem turns out to be very broad, as it…

Data Structures and Algorithms · Computer Science 2015-04-14 Marek Cygan , Jakub Pachocki , Arkadiusz Socała

Person Re-Identification (ReID) matches pedestrians across disjoint cameras. Existing ReID methods adopting real-value feature descriptors have achieved high accuracy, but they are low in efficiency due to the slow Euclidean distance…

Computer Vision and Pattern Recognition · Computer Science 2022-07-14 Qingze Yin , Guanan Wang , Guodong Ding , Qilei Li , Shaogang Gong , Zhenmin Tang

Rare properties remain a challenge for statistical model checking (SMC) due to the quadratic scaling of variance with rarity. We address this with a variance reduction framework based on lightweight importance splitting observers. These…

Logic in Computer Science · Computer Science 2015-04-29 Cyrille Jegourel , Axel Legay , Sean Sedwards , Louis-Marie Traonouez

Multi-distribution learning extends agnostic Probably Approximately Correct (PAC) learning to the setting in which a family of $k$ distributions, $\{D_i\}_{i\in[k]}$, is considered and a classifier's performance is measured by its error…

Machine Learning · Computer Science 2025-06-24 Chicheng Zhang , Yihan Zhou

Given a small random sample of $n$-bit strings labeled by an unknown Boolean function, which properties of this function can be tested computationally efficiently? We show an equivalence between properties that are efficiently testable from…

Computational Complexity · Computer Science 2026-04-07 Cynthia Dwork , Pranay Tankala

In a real world environment, person re-identification (Re-ID) is a challenging task due to variations in lighting conditions, viewing angles, pose and occlusions. Despite recent performance gains, current person Re-ID algorithms still…

Computer Vision and Pattern Recognition · Computer Science 2021-04-29 Amena Khatun , Simon Denman , Sridha Sridharan , Clinton Fookes