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We study differentially private continual release of the number of distinct items in a turnstile stream, where items may be both inserted and deleted. A recent work of Jain, Kalemaj, Raskhodnikova, Sivakumar, and Smith (NeurIPS '23) shows…

数据结构与算法 · 计算机科学 2026-03-05 Anders Aamand , Justin Y. Chen , Sandeep Silwal

Streaming algorithms are typically analyzed in the oblivious setting, where we assume that the input stream is fixed in advance. Recently, there is a growing interest in designing adversarially robust streaming algorithms that must maintain…

数据结构与算法 · 计算机科学 2023-01-24 Menachem Sadigurschi , Moshe Shechner , Uri Stemmer

Many classical algorithms are known for computing the convex hull of a set of $n$ point in $\mathbb{R}^2$ using $O(n)$ space. For large point sets, whose size exceeds the size of the working space, these algorithms cannot be directly used.…

计算几何 · 计算机科学 2018-10-02 Martin Farach-Colton , Meng Li , Meng-Tsung Tsai

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

统计方法学 · 统计学 2023-05-09 Andrea Arnold

We derive lower bounds on the convergence speed of a widely used class of distributed averaging algorithms. In particular, we prove that any distributed averaging algorithm whose state consists of a single real number and whose (possibly…

最优化与控制 · 数学 2015-03-13 Alex Olshevsky , John N. Tsitsiklis

We explore a novel problem in streaming submodular maximization, inspired by the dynamics of news-recommendation platforms. We consider a setting where users can visit a news website at any time, and upon each visit, the website must…

数据结构与算法 · 计算机科学 2026-01-19 Honglian Wang , Sijing Tu , Lutz Oettershagen , Aristides Gionis

In many engineered systems, optimization is used for decision making at time-scales ranging from real-time operation to long-term planning. This process often involves solving similar optimization problems over and over again with slightly…

最优化与控制 · 数学 2019-01-18 Sidhant Misra , Line Roald , Yeesian Ng

Motivated by the prevalence and success of machine learning, a line of recent work has studied learning-augmented algorithms in the streaming model. These results have shown that for natural and practical oracles implemented with machine…

数据结构与算法 · 计算机科学 2026-03-04 Soham Nagawanshi , Shalini Panthangi , Chen Wang , David P. Woodruff , Samson Zhou

A key challenge in online learning is that classical algorithms can be slow to adapt to changing environments. Recent studies have proposed "meta" algorithms that convert any online learning algorithm to one that is adaptive to changing…

机器学习 · 统计学 2017-11-08 Kwang-Sung Jun , Francesco Orabona , Stephen Wright , Rebecca Willett

This article proposes an online bootstrap scheme for nonparametric level estimation in nonstationary time series. Our approach applies to a broad class of level estimators expressible as weighted sample averages over time windows, including…

统计方法学 · 统计学 2026-03-02 Thomas Nagler , Tobias Brock , Nicolai Palm

In the adversarial streaming model, the input is a sequence of adaptive updates that defines an underlying dataset and the goal is to approximate, collect, or compute some statistic while using space sublinear in the size of the dataset. In…

数据结构与算法 · 计算机科学 2024-12-10 David P. Woodruff , Samson Zhou

Data-driven methods for modeling dynamic systems have received considerable attention as they provide a mechanism for control synthesis directly from the observed time-series data. In the absence of prior assumptions on how the time-series…

最优化与控制 · 数学 2018-09-24 Atiye Alaeddini , Siavash Alemzadeh , Afshin Mesbahi , Mehran Mesbahi

We investigate deterministic and randomized streaming algorithms for word problems in finitely generated groups and semigroups. For this we introduce the notion of a distinguisher: a randomized streaming algorithm that processes two input…

群论 · 数学 2026-04-23 Markus Lohrey , Lukas Lück , Alexander Thumm , Julio Xochitemol

Stream networks, a unique class of spatiotemporal graphs, exhibit complex directional flow constraints and evolving dependencies, making uncertainty quantification a critical yet challenging task. Traditional conformal prediction methods…

机器学习 · 统计学 2025-11-11 Jifan Zhang , Fangxin Wang , Zihe Song , Philip S. Yu , Kaize Ding , Shixiang Zhu

Hierarchical optimization refers to problems with interdependent decision variables and objectives, such as minimax and bilevel formulations. While various algorithms have been proposed, existing methods and analyses lack adaptivity in…

机器学习 · 计算机科学 2025-10-27 Xiaochuan Gong , Jie Hao , Mingrui Liu

Machine learning systems must adapt to data distributions that evolve over time, in applications ranging from sensor networks and self-driving car perception modules to brain-machine interfaces. We consider gradual domain adaptation, where…

机器学习 · 计算机科学 2020-02-27 Ananya Kumar , Tengyu Ma , Percy Liang

The authors have withdrawn this paper due to an error in the proof of Lemma 3.4. -------------------------------------------------------------------------------------------- The authors have withdrawn this paper due to an error in the proof…

计算复杂性 · 计算机科学 2020-04-22 Anay Mehrotra , Vibhor Porwal , Raghunath Tewari

We present a framework for computing with input data specified by intervals, representing uncertainty in the values of the input parameters. To compute a solution, the algorithm can query the input parameters that yield more refined…

数据结构与算法 · 计算机科学 2015-03-19 Manoj Gupta , Yogish Sabharwal , Sandeep Sen

Imagine a smart camera trap selectively clicking pictures to understand animal movement patterns within a particular habitat. These "snapshots", or pieces of data captured from a data stream at adaptively chosen times, provide a glimpse of…

机器学习 · 计算机科学 2024-12-10 Pramith Devulapalli , Steve Hanneke

We introduce the notion of adaptive synchronisation for pushdown automata, in which there is an external observer who has no knowledge about the current state of the pushdown automaton, but can observe the contents of the stack. The…

形式语言与自动机理论 · 计算机科学 2021-02-16 A. R. Balasubramanian , K. S. Thejaswini