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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.

169,181 papers · 148 categories

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48 results for grid world

Optimized coordinate system improves sparse grid regression performance.

problem Sparse grid methods struggle with skewed and rotated coordinates.
method Proposes an optimized coordinate system to reduce effective dimensionality.
result Adaptive sparse grid least squares algorithm benefits from preprocessing.

Proposes a new convolutional neural network for non-grid data.

problem Limited applicability of standard CNNs to non-grid structured data.
method Introduces Parametric Continuous Convolution (PCC) with learnable kernel functions.
result Significant improvement in point cloud segmentation and lidar motion estimation.

Interactive framework identifies insights in power grid maps.

problem Manual identification of insights in power grid maps is laborious and expertise-dependent.
method Proposes an interactive framework using DenseU-Hierarchical VAE to learn and modulate representations.
result Framework outperforms baseline models in identifying and annotating insights.

Paper proposes a method to locate power grid recordings using ENF sequences.

problem Locating power grid recordings without concurrent power signals.
method Extract ENF sequences from power and audio recordings, develop multi-class SVM model.
result Validation of location authenticity of recordings using ENF sequences.

Study on human planning and re-planning in unknown stochastic environments.

problem Understanding how humans adjust plans in unfamiliar environments.
method Grid world task, 12 different models, model-based reinforcement learning approach.
result Model-based reinforcement learning approach best explains human re-planning behavior.

Graph-based state representation improves deep RL performance.

problem High sample-complexity and starting with a good input representation in deep RL.
method Exploiting the graph structure of MDPs for effective state representation learning.
result Graph-based node representation methods outperform matrix-based methods in grid-world navigation tasks.

Curiosity-Critic improves world model training by focusing on cumulative prediction error.

problem Training world models with intrinsic rewards that consider cumulative prediction error.
method Curiosity-Critic uses a surrogate reward based on the difference between current and asymptotic prediction errors, estimated online by a co-trained critic.
result Curiosity-Critic outperforms other methods in training speed and final world model accuracy.

Improved weather forecasting with gridded pseudo-token TNPs.

problem Handling large-scale, unstructured spatio-temporal data in weather forecasting.
method Introducing gridded pseudo-token transformer neural processes (TNPs) with efficient attention mechanisms.
result Consistently outperforms baselines on various synthetic and real-world regression tasks involving large-scale data.

Proposes a new tensor grid method for image completion.

problem Image completion from missing data.
method Low-rank tensor grid with two-stage density matrix renormalization group initialization and alternating least squares factorization.
result The proposed tensor grid method outperforms existing methods in image recovery accuracy.

We suggest a novel method of clustering and exploratory analysis of temporal event sequences data (also known as categorical time series) based on three-dimensional data grid models. A data set of temporal event sequences can be represented as a data set of three-dimensional points, each point is defined by three varia…

2015-05-06abs ↗pdf ↗

Non-linear control rules improve smart inverter performance in fluctuating grids.

problem Optimizing smart inverter control for voltage regulation and energy efficiency in fluctuating grids.
method Customized non-linear control rules designed as a kernel-based regression task, leveraging a linearized grid model and convex optimization.
result Non-linear control rules achieve near-optimal performance in real-world tests, minimizing voltage deviations and ohmic losses.

Paper tackles reinforcement learning generalization through invariant policy optimization.

problem Learning policies that generalize beyond training domains.
method Invariant policy optimization principle and novel learning algorithm IPO.
result Significant improvements in generalization performance on unseen domains.

The paper introduces MDP homomorphic networks for faster reinforcement learning.

problem Current reinforcement learning approaches do not exploit symmetries in the joint state-action space.
method Equivariant neural networks with group-structured symmetries (reflections, rotations).
result MDP homomorphic networks converge faster than unstructured baselines on various tasks.

M-CaStLe discovers causal structures in multivariate space-time data.

problem Challenges in causal graph discovery for high-dimensional gridded data.
method Generalizes CaStLe to multivariate analyses, using local embeddings and pooling spatial replicates.
result More accurately recovers multivariate causal structure and identifies physical dynamics.

New insights into data geometry reveal manifold structure in grid-cell activity.

problem Understanding the roles of different dimensions in data geometry.
method Generalised Hanson-Wright inequality and random function model analysis.
result Persistence diagrams reveal latent homology and manifold structure.

PowRL uses RL to manage power grids robustly, reducing overloads and maintaining power reliability.

problem Managing transient stability and preventing blackouts in power networks with uncertain generation and load demands.
method PowRL leverages a novel heuristic for overload management and RL-guided topology selection to ensure safe and reliable operation.
result PowRL outperforms other agents in L2RPN challenges, demonstrating robust performance in various scenarios.

Resolves spurious correlations in causal models via intervention design.

problem Spurious correlations lead to incorrect causal models in reinforcement learning environments.
method Proposes a method to design interventions that improve causal models by incentivizing agents to find errors.
result Experimental results show improved causal models compared to baselines.

We present a grid diagram analogue of Carter, Rieger and Saito's smooth movie theorem. Specifically, we give definitions for grid movies, grid movie isotopies and present a definition of grid planar isotopy as a particular subset of the grid diagram moves: stabilization, destabilization and commutation. We show that gr…

2013-03-07abs ↗pdf ↗

Designing probing injections for smart inverters to infer non-metered loads.

problem Inferring non-metered loads from electric grid probing.
method Designing probing injections that adhere to inverter and network constraints, using a library of candidate vectors and SDP relaxation for noisy data.
result Improved load estimates through optimal probing design.

Successor Options discovers reusable skills using landmark states.

problem Discovering reusable skills in reinforcement learning.
method Leverages Successor Representations to build a state space model and learns intra-option policies using a novel pseudo-reward.
result Demonstrates the approach's efficacy on grid-worlds and high-dimensional robotic control environments.

The paper introduces triple grid diagrams to construct Lagrangian surfaces in complex projective space.

problem Constructing Lagrangian surfaces in complex projective space.
method Defining and analyzing triple grid diagrams to determine Lagrangian caps and surfaces.
result Triple grid diagrams can determine closed Lagrangian surfaces in CP2\mathbb{CP}^2 under certain conditions.

Paper analyzes bidding strategies in smart grid PDAs, proposing a new method that outperforms existing strategies.

problem Optimizing bidding strategies in smart grid PDAs to balance energy demand effectively.
method Theoretical analysis of double auctions, derivation of best response, and modeling as an MDP.
result Proposed MDPLCPBS strategy outperforms existing strategies in the PowerTAC wholesale market PDA.

Half grid diagrams prove every link can be represented by a special type of grid diagram.

problem Representing links using grid diagrams and related invariants.
method Defining half grid diagrams and constructing canonical pairs, proving equivalence to Jones' construction, relating to classical link invariants.
result Established a new method to relate the oriented Thompson index to classical link invariants and provided bounds for knot invariants.

Paper proposes PRR network for better experience reuse in reinforcement learning.

problem Efficient experience reuse in reinforcement learning across multiple granularities.
method Proposes PRR network trained on multi-level architecture to extract and store experience.
result PRR network leads to better experience reuse and improved performance.

A method for vectorizing persistence diagrams simplifies topological data analysis.

problem Challenges in integrating persistence diagrams into machine learning pipelines.
method Quantized Persistence and Integral transforms of Diagrams (Qupid) using binning and discrete transforms.
result Qupid preserves highly competitive performances compared to state-of-the-art methods across various classification tasks.

Grid homology properties for MOY graphs studied.

problem Defining and studying properties of grid homology for MOY graphs.
method Defined grid homology from Harvey and O'Donnol's work. Studied properties using oriented skein relation, edge contraction, and parallel edge unification.
result Properties of grid homology for MOY graphs were studied and defined.

Detects non-technical electricity losses using image representations of time-series data.

problem Detecting anomalies in large-scale, unlabelled data for non-technical losses.
method Transformed time-series data into image representations, used semi-supervised deep learning.
result Significant improvement in detecting abnormal electricity consumption patterns.

New method constructs moduli spaces of Lagrangian surfaces in CP^2 from grid diagrams.

problem Constructing explicit examples of triple grid diagrams for Lagrangian surfaces in CP^2.
method Elegant geometric construction reducing to linear algebra.
result Explicit construction of moduli space of triple grid diagrams.

The paper develops algorithms to accurately identify power grid topology.

problem Identifying the exact topology of a power grid in real-time.
method Graphical model framework for topology estimation using voltage measurements.
result Exact extraction of operational topology is theoretically guaranteed for grid topologies without three-node cycles.