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We consider computations of a Turing machine subjected to noise. In every step, the action (the new state and the new content of the observed cell, the direction of the head movement) can differ from that prescribed by the transition…

Computational Complexity · Computer Science 2021-12-07 Ilir Çapuni , Peter Gács

Joins are among the most time-consuming and data-intensive operations in relational query processing. Much research effort has been applied to the optimization of join processing due to their frequent execution. Recent studies have shown…

Databases · Computer Science 2025-05-26 Yuvaraj Chesetti , Prashant Pandey

The programming paradigm Map-Reduce and its main open-source implementation, Hadoop, have had an enormous impact on large scale data processing. Our goal in this expository writeup is two-fold: first, we want to present some complexity…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-29 Ashish Goel , Kamesh Munagala

The architecture of neural Turing machines is differentiable end to end and is trainable with gradient descent methods. Due to their large unfolded depth Neural Turing Machines are hard to train and because of their linear access of…

Neural and Evolutionary Computing · Computer Science 2016-12-08 Janez Aleš

Geometrical Computation as a new model of computation is the counterpart of Cellular Automata that has Turing computing ability. In this paper we provide an algorithm to simulate Alternating Turing Machine in the context of Signal Machine…

Computational Geometry · Computer Science 2017-09-01 Dawood Hasanzadeh , Sama Goliaei

How much information do we need about a process' past to faithfully simulate its future? The statistical complexity is a prominent quantifier of structure for stochastic processes. Quantum machines, however, can simulate classical…

Since its introduction in 2004, the MapReduce framework has become one of the standard approaches in massive distributed and parallel computation. In contrast to its intensive use in practise, theoretical footing is still limited and only…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-19 Gero Greiner , Riko Jacob

Algorithm research focuses primarily on how many operations processors need to do (time complexity). But for many problems, both the runtime and energy used are dominated by memory accesses. In this paper, we present the first broad survey…

Data Structures and Algorithms · Computer Science 2025-12-01 Hayden Rome , Jayson Lynch , Jeffery Li , Chirag Falor , Neil Thompson

In this paper, we revisit the question of how the dynamic optimality of search trees should be defined in external memory. A defining characteristic of external-memory data structures is that there is a stark asymmetry between queries and…

Data Structures and Algorithms · Computer Science 2022-04-22 Michael A. Bender , Martín Farach-Colton , William Kuszmaul

Modern external memory is represented by several device classes. At present, HDD, SATA SSD and NVMe SSD are widely used. Recently ultra-low latency SSD such as Intel Optane became available on the market. Each of these types exhibits it's…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-23 Ruslan Savchenko

quest for processing speed potential. In fact, we always get a fraction of the technically available computing power (so-called {\em theoretical peak}), and the gap is likely to go hand-to-hand with the hardware complexity of the target…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-23 Claude Tadonki

Emerging memory technologies have a significant gap between the cost, both in time and in energy, of writing to memory versus reading from memory. In this paper we present models and algorithms that account for this difference, with a focus…

Data Structures and Algorithms · Computer Science 2016-03-15 Guy E. Blelloch , Jeremy T. Fineman , Phillip B. Gibbons , Yan Gu , Julian Shun

Recent years has witnessed dramatic progress of neural machine translation (NMT), however, the method of manually guiding the translation procedure remains to be better explored. Previous works proposed to handle such problem through…

Computation and Language · Computer Science 2019-02-01 Ya Li , Xinyu Liu , Dan Liu , Xueqiang Zhang , Junhua Liu

The last decade has seen the rise of neuromorphic architectures based on artificial spiking neural networks, such as the SpiNNaker, TrueNorth, and Loihi systems. The massive parallelism and co-locating of computation and memory in these…

Computational Complexity · Computer Science 2020-01-24 Johan Kwisthout , Nils Donselaar

Transformers have reached remarkable success in sequence modeling. However, these models have efficiency issues as they need to store all the history token-level representations as memory. We present Memformer, an efficient neural network…

Computation and Language · Computer Science 2022-04-14 Qingyang Wu , Zhenzhong Lan , Kun Qian , Jing Gu , Alborz Geramifard , Zhou Yu

We present data-oblivious algorithms in the external-memory model for compaction, selection, and sorting. Motivation for such problems comes from clients who use outsourced data storage services and wish to mask their data access patterns.…

Data Structures and Algorithms · Computer Science 2011-03-29 Michael T. Goodrich

As language and visual understanding by machines progresses rapidly, we are observing an increasing interest in holistic architectures that tightly interlink both modalities in a joint learning and inference process. This trend has allowed…

Artificial Intelligence · Computer Science 2021-08-23 Mateusz Malinowski , Mario Fritz

Multiprocess systems, including grid systems, multiprocessors and multicore computers, incorporate a variety of specialized hardware and software mechanisms, which speed computation, but result in complex memory behavior. As a consequence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-04 Steven Cheng , Lisa Higham , Jalal Kawash

Memory-augmented LLM agents offer an appealing shortcut to continual learning: rather than updating model parameters, they accumulate experience in external memory, seemingly sidestepping the stability-plasticity dilemma of parametric…

Machine Learning · Computer Science 2026-05-01 Qisheng Hu , Quanyu Long , Wenya Wang

This work establishes a rigorous theoretical foundation for analyzing deep learning systems by leveraging Infinite Time Turing Machines (ITTMs), which extend classical computation into transfinite ordinal steps. Using ITTMs, we reinterpret…

Computational Complexity · Computer Science 2025-06-09 Rukmal Weerawarana , Maxwell Braun