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We study the power of Arthur-Merlin probabilistic proof systems in the data stream model. We show a canonical $\mathcal{AM}$ streaming algorithm for a wide class of data stream problems. The algorithm offers a tradeoff between the length of…

Computational Complexity · Computer Science 2013-02-05 Tom Gur , Ran Raz

Recently [Bhattacharya et al., STOC 2015] provide the first non-trivial algorithm for the densest subgraph problem in the streaming model with additions and deletions to its edges, i.e., for dynamic graph streams. They present a…

Data Structures and Algorithms · Computer Science 2015-07-30 Hossein Esfandiari , MohammadTaghi Hajiaghayi , David P. Woodruff

Dynamic adaptive streaming over HTTP (DASH) has recently been widely deployed in the Internet and adopted in the industry. It, however, does not impose any adaptation logic for selecting the quality of video fragments requested by clients…

Multimedia · Computer Science 2017-11-07 Chao Zhou , Chia-Wen Lin , Xinggong Zhang , Zongming Guo

Deep reinforcement learning (DRL) algorithms can suffer from modeling errors between the simulation and the real world. Many studies use adversarial learning to generate perturbation during training process to model the discrepancy and…

Machine Learning · Computer Science 2024-05-21 Qianmei Liu , Yufei Kuang , Jie Wang

We study the classical problem of moment estimation of an underlying vector whose $n$ coordinates are implicitly defined through a series of updates in a data stream. We show that if the updates to the vector arrive in the random-order…

Data Structures and Algorithms · Computer Science 2022-07-08 David P. Woodruff , Samson Zhou

We present a sparse analogue to stochastic gradient descent that is guaranteed to perform well under similar conditions to the lasso. In the linear regression setup with irrepresentable noise features, our algorithm recovers the support set…

Statistics Theory · Mathematics 2014-12-16 Jacob Steinhardt , Stefan Wager , Percy Liang

We propose the first adversarially robust algorithm for monotone submodular maximization under single and multiple knapsack constraints with scalable implementations in distributed and streaming settings. For a single knapsack constraint,…

Data Structures and Algorithms · Computer Science 2019-05-08 Dmitrii Avdiukhin , Slobodan Mitrović , Grigory Yaroslavtsev , Samson Zhou

In this thesis, we explore streaming algorithms for approximating constraint satisfaction problems (CSPs). The setup is roughly the following: A computer has limited memory space, sees a long "stream" of local constraints on a set of…

Data Structures and Algorithms · Computer Science 2023-04-14 Noah G. Singer

In the online learning with experts problem, an algorithm must make a prediction about an outcome on each of $T$ days (or times), given a set of $n$ experts who make predictions on each day (or time). The algorithm is given feedback on the…

Data Structures and Algorithms · Computer Science 2023-03-06 David P. Woodruff , Fred Zhang , Samson Zhou

We say a turnstile streaming algorithm is "non-adaptive" if, during updates, the memory cells written and read depend only on the index being updated and random coins tossed at the beginning of the stream (and not on the memory contents of…

Data Structures and Algorithms · Computer Science 2014-07-09 Kasper Green Larsen , Jelani Nelson , Huy L. Nguyen

We consider the classical problem of maximizing a monotone submodular function subject to a cardinality constraint, which, due to its numerous applications, has recently been studied in various computational models. We consider a clean…

Data Structures and Algorithms · Computer Science 2020-03-31 Moran Feldman , Ashkan Norouzi-Fard , Ola Svensson , Rico Zenklusen

A dynamic algorithm against an adaptive adversary is required to be correct when the adversary chooses the next update after seeing the previous outputs of the algorithm. We obtain faster dynamic algorithms against an adaptive adversary and…

Data Structures and Algorithms · Computer Science 2021-11-09 Amos Beimel , Haim Kaplan , Yishay Mansour , Kobbi Nissim , Thatchaphol Saranurak , Uri Stemmer

Inferring the evolution of high-dimensional and multi-modal (e.g., spatio-temporal) physical fields from irregular sparse measurements in real time is a fundamental challenge in science and engineering. Existing approaches, including…

Machine Learning · Computer Science 2026-05-12 Panqi Chen , Yifan Sun , Shikai Fang , Xiao Fu , Lei Cheng

Probabilistic model checking is a useful technique for specifying and verifying properties of stochastic systems including randomized protocols and reinforcement learning models. Existing methods rely on the assumed structure and…

Cryptography and Security · Computer Science 2022-08-02 Lisa Oakley , Alina Oprea , Stavros Tripakis

We present a streaming problem for which every adversarially-robust streaming algorithm must use polynomial space, while there exists a classical (oblivious) streaming algorithm that uses only polylogarithmic space. This is the first…

Data Structures and Algorithms · Computer Science 2021-02-18 Haim Kaplan , Yishay Mansour , Kobbi Nissim , Uri Stemmer

Despite their unmatched performance, deep neural networks remain susceptible to targeted attacks by nearly imperceptible levels of adversarial noise. While the underlying cause of this sensitivity is not well understood, theoretical…

Machine Learning · Computer Science 2020-12-01 George Cazenavette , Calvin Murdock , Simon Lucey

Anomaly detection is critical for finding suspicious behavior in innumerable systems. We need to detect anomalies in real-time, i.e. determine if an incoming entity is anomalous or not, as soon as we receive it, to minimize the effects of…

Machine Learning · Computer Science 2023-01-31 Siddharth Bhatia

A streaming algorithm to compute the spectral proper orthogonal decomposition (SPOD) of stationary random processes is presented. As new data becomes available, an incremental update of the truncated eigenbasis of the estimated…

Fluid Dynamics · Physics 2019-01-14 Oliver T. Schmidt , Aaron Towne

Recent breakthroughs in the field of deep learning have led to advancements in a broad spectrum of tasks in computer vision, audio processing, natural language processing and other areas. In most instances where these tasks are deployed in…

Machine Learning · Computer Science 2019-05-28 Daanish Ali Khan , Linhong Li , Ninghao Sha , Zhuoran Liu , Abelino Jimenez , Bhiksha Raj , Rita Singh

Big data problems frequently require processing datasets in a streaming fashion, either because all data are available at once but collectively are larger than available memory or because the data intrinsically arrive one data point at a…

Computation · Statistics 2018-08-08 Andrea Giovannucci , Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii