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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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156311467622 · Jun 202019922001200920172026
48 results for constant memory complexity

A method for learning complex functions from data with reduced memory usage.

problem Learning highly nonlinear, multivariate functions from examples.
method Transforming function learning into tensor reconstruction, incrementally building tensors from rank-one terms.
result Efficient gradient-based algorithm with linear time complexity in sample size and tensor dimensions.

PySAD offers a unified Python framework for efficient streaming anomaly detection.

problem Efficient anomaly detection in streaming data with strict constraints.
method Unified architecture with 17+ streaming algorithms, specialized components, and support for multiple learning paradigms.
result PySAD enables real-time processing with bounded memory and is compatible with other Python frameworks.

New algorithm learns and unlearns from streaming data efficiently.

problem Continuous learning and unlearning from production data streams.
method Translated batch unlearning techniques to online setting using regret, sample complexity, and deletion capacity.
result Achieved logarithmic regret bound of O(lnT)\mathcal{O}(\ln{T}) for online unlearning.

GPA improves LLM training speed by 8.71% for Llama-160M models.

problem Training Large Language Models (LLMs) with high memory overhead and slow convergence.
method Generalized Primal Averaging (GPA) extends Nesterov's method to eliminate memory-intensive two-loop structure.
result GPA achieves up to 10.13% speedup over AdamW in training Llama-1B model.

Efficiently infers latent SDEs with scalable memory and time costs.

problem Inference of latent SDEs with high time and memory complexity.
method Amortized reparametrization of expectations under linear SDEs, coupled with efficient gradient approximation.
result Achieves similar performance to adjoint sensitivities with fewer model evaluations.

Neural Turing Machines (NTMs) are an instance of Memory Augmented Neural Networks, a new class of recurrent neural networks which decouple computation from memory by introducing an external memory unit. NTMs have demonstrated superior performance over Long Short-Term Memory Cells in several sequence learning tasks. A n…

2018-07-23abs ↗pdf ↗

In this paper, we revisit the recurrent back-propagation (RBP) algorithm, discuss the conditions under which it applies as well as how to satisfy them in deep neural networks. We show that RBP can be unstable and propose two variants based on conjugate gradient on the normal equations (CG-RBP) and Neumann series (Neuma…

2018-03-16abs ↗pdf ↗

Tail averaging consists in averaging the last examples in a stream. Common techniques either have a memory requirement which grows with the number of samples to average, are not available at every timestep or do not accomodate growing windows. We propose two techniques with a low constant memory cost that perform tail …

2019-02-13abs ↗pdf ↗

We consider streaming, one-pass principal component analysis (PCA), in the high-dimensional regime, with limited memory. Here, pp-dimensional samples are presented sequentially, and the goal is to produce the kk-dimensional subspace that best approximates these points. Standard algorithms require O(p2)O(p^2) memory; mea…

2013-06-28abs ↗pdf ↗

The computation of the sparse principal component of a matrix is equivalent to the identification of its principal submatrix with the largest maximum eigenvalue. Finding this optimal submatrix is what renders the problem NP{\mathcal{NP}}-hard. In this work, we prove that, if the matrix is positive semidefinite and its …

2013-12-20abs ↗pdf ↗

Gradient descent is efficient for solving feasibility problems with minimal memory and queries.

problem Finding a point in a given set using a memory-constrained algorithm with a separation oracle.
method Oracle complexity lower bounds for gradient descent and other algorithms.
result Gradient descent is Pareto-optimal in the oracle complexity/memory tradeoff for feasibility problems.

Quadratic memory is essential for optimal convex optimization queries.

problem Optimal query complexity for convex optimization and feasibility problems.
method Lower bounds on query complexity for convex optimization and feasibility problems.
result Center-of-mass algorithms are Pareto-optimal for both convex optimization and feasibility problems.

New technique reduces memory usage and boosts neural network training speed.

problem Training large neural networks requires significant memory and computational resources.
method L2L (layer-to-layer) execution technique with eager param-server (EPS) and micro-batching.
result 45% reduction in memory usage and 40% increase in throughput for BERT-Large.

We study the problem of identifying correlations in multivariate data, under information constraints: Either on the amount of memory that can be used by the algorithm, or the amount of communication when the data is distributed across several machines. We prove a tight trade-off between the memory/communication complex…

2018-03-04abs ↗pdf ↗

Study on deleting user data in linear regression models to maintain limited memory.

problem Deleting user data in a limited time frame for statistical models.
method Proposed FIFD-OLS and FIFD-Adaptive Ridge algorithms for low-dimensional and online settings.
result Demonstrated effectiveness of FIFD-Adaptive Ridge in maintaining statistical efficiency.

Study shows how to balance memory and learning efficiency in continual learning.

problem Balancing memory and learning efficiency in continual learning.
method Structural regularization with Hessian-based regularization.
result Structural regularization improves statistical performance at the cost of increased memory complexity.

Memory capacity of DAM scales exponentially with feature separation, unaffected by correlations.

problem Understanding how feature correlations impact DAM's capacity.
method Developed an empirical framework to analyze DAM's capacity under varying feature correlations and pattern separations.
result Memory capacity scales exponentially with feature separation, unaffected by correlations.

In this paper we prove that the only algebraic constant mean curvature (cmc) surfaces in R^3 of order less than four are the planes, the spheres and the cylinders. The method used heavily depends on the efficiency of algorithms to compute Groebner Bases and also on the memory capacity of the computer used to do the com…

2010-02-01abs ↗pdf ↗

Model predicts EMF of Ni-Mn-Ga MSMA, improved with GRNN.

problem Predicting the electromotive force (EMF) of Ni-Mn-Ga MSMA under various conditions.
method Developed a new constitutive model for Ni-Mn-Ga single crystals, incorporating magnetic easy axis offset. Used GRNN to enhance model predictions.
result GRNN improves model predictions of EMF, capturing more experimental features.

We consider the infinite-horizon discounted optimal control problem formalized by Markov Decision Processes. We focus on several approximate variations of the Policy Iteration algorithm: Approximate Policy Iteration, Conservative Policy Iteration (CPI), a natural adaptation of the Policy Search by Dynamic Programming a…

2014-05-12abs ↗pdf ↗

Implicit models can match or exceed explicit models with more test-time compute.

problem Understanding the expressive power and scaling of implicit models.
method Nonparametric analysis of expressive power, mathematical characterization of implicit operators, and test-time scaling experiments.
result Implicit models can progressively express more complex mappings through iteration, matching a richer function class with test-time compute.

FPG uses fractional calculus for efficient reinforcement learning with long-term memory.

problem High variance and inefficient sampling in standard policy gradient methods for long-term temporal modeling.
method Fractional Policy Gradients (FPG) incorporating Caputo fractional derivatives for power-law temporal correlations.
result Achieves asymptotic variance reduction of order O(t^(-alpha)) and sample efficiency gains.

New neural networks model complex phenomena with fewer parameters.

problem Challenges in studying higher-order interactions in neural networks.
method Introducing curved neural networks using the maximum entropy principle.
result Curved neural networks accelerate memory retrieval and exhibit explosive phase transitions.

Neural networks powered with external memory simulate computer behaviors. These models, which use the memory to store data for a neural controller, can learn algorithms and other complex tasks. In this paper, we introduce a new memory to store weights for the controller, analogous to the stored-program memory in modern…

2019-05-25abs ↗pdf ↗

Recent empirical studies have demonstrated long-memory in the signs of orders to buy or sell in financial markets [2, 19]. We show how this can be caused by delays in market clearing. Under the common practice of order splitting, large orders are broken up into pieces and executed incrementally. If the size of such lar…

2004-12-27abs ↗pdf ↗

We analyze computational limits of modern Hopfield models based on pattern norms.

problem Understanding the efficiency of modern Hopfield models from a fine-grained complexity perspective.
method Fine-grained complexity analysis and upper bound criterion for pattern norms.
result Below a specific norm threshold, efficient variants of modern Hopfield models exist.

mGRN improves multivariate time series prediction by managing marginal and joint memories.

problem Extracting dependencies in multivariate sequential data with strong serial and cross-sectional dependencies.
method Developed a novel recurrent network architecture, Memory-Gated Recurrent Networks (mGRN), with gates for marginal and joint memories.
result mGRN consistently outperforms state-of-the-art architectures on various public datasets.

A new algorithm combines SGD and Thompson Sampling for contextual bandits.

problem Finding efficient algorithms for contextual bandits with low time and memory complexity.
method Online Stochastic Gradient Descent (SGD) combined with Thompson Sampling.
result Achieves ildeO(T) ilde{O}(\sqrt{T}) regret with linear time complexity in TT and dd.

Iterative learning to infer approaches have become popular solvers for inverse problems. However, their memory requirements during training grow linearly with model depth, limiting in practice model expressiveness. In this work, we propose an iterative inverse model with constant memory that relies on invertible networ…

2019-11-25abs ↗pdf ↗

New neural operators model turbulence with memory and randomness.

problem Modeling turbulence in complex fluid dynamics with memory and randomness.
method Symmetrized activation functions, fractional derivatives, and stochastic noise.
result Theoretical guarantees for approximation quality in turbulent phenomena.