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In this paper, I introduce the retrieval problem, a simple yet common reasoning task that can be solved only by transformers with a minimum number of layers, which grows logarithmically with the input size. I empirically show that large…

Machine Learning · Computer Science 2025-10-29 Tiberiu Musat

Embedding learning is an important technique in deep recommendation models to map categorical features to dense vectors. However, the embedding tables often demand an extremely large number of parameters, which become the storage and…

Machine Learning · Computer Science 2022-08-15 Daochen Zha , Louis Feng , Bhargav Bhushanam , Dhruv Choudhary , Jade Nie , Yuandong Tian , Jay Chae , Yinbin Ma , Arun Kejariwal , Xia Hu

Memory allocation, though constituting only a small portion of the executed code, can have a "butterfly effect" on overall program performance, leading to significant and far-reaching impacts. Despite accounting for just approximately 5% of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-29 Ruihao Li , Qinzhe Wu , Krishna Kavi , Gayatri Mehta , Jonathan C. Beard , Neeraja J. Yadwadkar , Lizy K. John

We consider the problem of laying out a tree with fixed parent/child structure in hierarchical memory. The goal is to minimize the expected number of block transfers performed during a search along a root-to-leaf path, subject to a given…

Data Structures and Algorithms · Computer Science 2007-05-23 Stephen Alstrup , Michael A. Bender , Erik D. Demaine , Martin Farach-Colton , Theis Rauhe , Mikkel Thorup

Typical large-scale recommender systems use deep learning models that are stored on a large amount of DRAM. These models often rely on embeddings, which consume most of the required memory. We present Bandana, a storage system that reduces…

Machine Learning · Computer Science 2018-11-16 Assaf Eisenman , Maxim Naumov , Darryl Gardner , Misha Smelyanskiy , Sergey Pupyrev , Kim Hazelwood , Asaf Cidon , Sachin Katti

Trained ML models are commonly embedded in optimization problems. In many cases, this leads to large-scale NLPs that are difficult to solve to global optimality. While ML models frequently lead to large problems, they also exhibit…

Optimization and Control · Mathematics 2024-01-17 Artur M. Schweidtmann , Dominik Bongartz , Alexander Mitsos

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

We consider the problem of sorting a densely cluttered pile of unknown objects using a robot. This yet unsolved problem is relevant in the robotic waste sorting business. By extending previous active learning approaches to grasping, we show…

Robotics · Computer Science 2016-09-06 Janne V. Kujala , Tuomas J. Lukka , Harri Holopainen

This paper addresses the general problem of accurate identification of oil reservoirs. Recent improvements in well or borehole logging technology have resulted in an explosive amount of data available for processing. The traditional methods…

Machine Learning · Computer Science 2018-04-06 Yanan Li , Haixiang Guo , Andrew P Paplinski

Using custom memory allocators is an efficient performance optimization technique. However, dependency on a custom allocator can introduce several maintenance-related issues. We present lessons learned from the industry and provide critical…

Software Engineering · Computer Science 2022-12-23 Gunnar Kudrjavets , Jeff Thomas , Aditya Kumar , Nachiappan Nagappan , Ayushi Rastogi

Path planning for 3D solid objects is a challenging problem, requiring a search in a six-dimensional configuration space, which is, nevertheless, essential in many robotic applications such as bin-picking and assembly. The commonly used…

Robotics · Computer Science 2026-01-09 Michal Minařík , Vojtěch Vonásek , Robert Pěnička

Memory allocators hide beneath nearly every application stack, yet their performance footprint extends far beyond their code size. Even small inefficiencies in the allocators ripple through caches and the rest of the memory hierarchy,…

Programming Languages · Computer Science 2025-10-14 Ruihao Li , Lizy K. John , Neeraja J. Yadwadkar

Federated Learning (FL) enables multiple clients to collaboratively train a shared model while preserving data privacy. However, the high memory demand during model training severely limits the deployment of FL on resource-constrained…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-14 Yebo Wu , Jingguang Li , Chunlin Tian , Kahou Tam , Li Li , Chengzhong Xu

Solid-state storage architectures based on NAND or emerging memory devices (SSD), are fundamentally architected and optimized for both reliability and performance. Achieving these simultaneous goals requires co-design of memory components…

Hardware Architecture · Computer Science 2026-03-20 Jay Sarkar , Vamsi Pavan Rayaprolu , Abhijeet Bhalerao

The ability of machine learning models to store input information in hidden layer vector embeddings, analogous to the concept of `memory', is widely employed but not well characterized. We find that language model embeddings typically…

Computation and Language · Computer Science 2026-05-20 Benjamin L. Badger

In the unit-cost comparison model, a black box takes an input two items and outputs the result of the comparison. Problems like sorting and searching have been studied in this model, and it has been generalized to include the concept of…

Data Structures and Algorithms · Computer Science 2020-04-29 Michael A. Bender , Mayank Goswami , Dzejla Mededovic , Pablo Montes , Kostas Tsichlas

We initiate the study of smoothed analysis for the sequential probability assignment problem with contexts. We study information-theoretically optimal minmax rates as well as a framework for algorithmic reduction involving the maximum…

Machine Learning · Computer Science 2023-03-10 Alankrita Bhatt , Nika Haghtalab , Abhishek Shetty

Recent research on learned indexes has created a new perspective for indexes as models that map keys to their respective storage locations. These learned indexes are created to approximate the cumulative distribution function of the key…

Databases · Computer Science 2024-12-17 Kasun Amarasinghe , Farhana Choudhury , Jianzhong Qi , James Bailey

We study the problem of storing a data object in a set of data nodes that fail independently with given probabilities. Our problem is a natural generalization of a homogenous storage allocation problem where all the nodes had the same…

Information Theory · Computer Science 2012-02-09 Vasileios Ntranos , Giuseppe Caire , Alexandros G. Dimakis

In general class-incremental learning, researchers typically use sample sets as a tool to avoid catastrophic forgetting during continuous learning. At the same time, researchers have also noted the differences between class-incremental…

Machine Learning · Computer Science 2024-08-16 Weimin Yin , Bin Chen adn Chunzhao Xie , Zhenhao Tan
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