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.
Deep learning models predict faster dune migration in arid regions.
CURIE uses cellular automata to detect concept drift in data streams.
We discuss algorithms for estimating the Shannon entropy h of finite symbol sequences with long range correlations. In particular, we consider algorithms which estimate h from the code lengths produced by some compression algorithm. Our interest is in describing their convergence with sequence length, assuming no limit…
Paper defines topology automaton for Barański carpets and proves Hölder equivalence conditions.
ISA learns subgoals for reinforcement learning agents.
In this paper we study Thurston's automaton on the braid groups via binary operations. These binary operations are obtained from the construction of this automaton. We study these operations and find some connections between them in a "skew lattice" spirit.
Method extracts knowledge from LSTM for sequence validation.
A full Mealy automaton is associated with a graph and a square complex, which contains an anti-torus if and only if the automaton is bi-reversible and the graph is aperiodic.
The language of maximal lexicographic representatives of elements in the positive braid monoid with generators is a regular language. We describe with great detail the smallest Finite State Automaton accepting such language, and study the proportion of elements of length whose maximal lexicographic repres…
In this paper we generalize cellular algebras by allowing different partial orderings relative to fixed idempotents. For these relative cellular algebras we classify and construct simple modules, and we obtain other characterizations in analogy to cellular algebras. We also give several examples of algebras that are re…
The paper distills a weighted automaton from RNNs for language modeling.
DeepSynth synthesizes automata to guide deep RL agents through sparse, non-Markovian rewards.
This article introduces descriptive cellular homology on cell complexes, which is an extension of J.H.C. Whitehead's CW topology. A main result is that a descriptive cellular complex is a topology on fibres in a fibre bundle. An application of two forms of cellular homology is given in terms of the persistence of shape…
The study classifies cellular pseudomanifolds and their properties.
The paper studies Morse theory on manifolds with boundaries, constructing cellular structures and estimating critical points.
Quantum cellular automata form a homology theory.
We present a construction of cellular BF theory (in both abelian and non-abelian variants) on cobordisms equipped with cellular decompositions. Partition functions of this theory are invariant under subdivisions, satisfy a version of the quantum master equation, and satisfy Atiyah-Segal-type gluing formula with respect…
Optimizes natural frequencies of cellular composites with various microstructures.
Convolutional networks struggle to learn Game of Life, even with lottery ticket weights.
New formulas derived for Jones polynomial of rational links.
For leveled spatial graphs, we find a surface embedding that allows cellular embedding.
We give examples of harmonic cellular maps between negatively curved manifolds which are not diffeomorphisms but are homotopic to diffeomorphisms.
The notion of cellular stratified spaces was introduced in a joint work of the author with Basabe, González, and Rudyak [1009.1851] with the aim of constructing a cellular model of the configuration space of a sphere. In particular, it was shown that the classifying space (order complex) of the face poset of a totally …
Study immersions of punctured 4-manifolds for quantum automata applications.
A new layer learns abstract relations from graph structure using finite-state automata.
The paper extends Gaussian processes to model complex interactions in cellular complexes.
In this work we develop a cellular equivariant homology functor and apply it to prove an equivariant Euler-Poincare formula and an equivariant Lefschetz theorem.
ChemCPA predicts cellular responses to novel drugs using transfer learning.
Representative investors whose behaviour is modelled by a deterministic finite automaton generate complexity both in the time series of each asset and in the cross-sectional correlation when the rule governing their behaviour is schizophrenic, meaning the investor must hold multiple seemingly contradictory beliefs simu…
Machine learning algorithms can be fooled by small well-designed adversarial perturbations. This is reminiscent of cellular decision-making where ligands (called antagonists) prevent correct signalling, like in early immune recognition. We draw a formal analogy between neural networks used in machine learning and model…
Machine learning predicts critical points for directed percolation models.
New findings on hyperbolicity of augmented links in thickened surfaces.
Solves challenges of drone communication in cellular networks.
TrajectoryNet models dynamic cellular trajectories using optimal transport.
Transformers simulate finite-state automata with fewer layers.
Electron Cryo-Tomography (ECT) allows 3D visualization of subcellular structures at the submolecular resolution in close to the native state. However, due to the high degree of structural complexity and imaging limits, the automatic segmentation of cellular components from ECT images is very difficult. To complement an…
Classifies fake surfaces up to complexity 5.
The paper optimizes UAV path and power for QoS in cellular networks.
Hidden tree Markov models allow learning distributions for tree structured data while being interpretable as nondeterministic automata. We provide a concise summary of the main approaches in literature, focusing in particular on the causality assumptions introduced by the choice of a specific tree visit direction. We w…
Motivation: Understanding functions of proteins in specific human tissues is essential for insights into disease diagnostics and therapeutics, yet prediction of tissue-specific cellular function remains a critical challenge for biomedicine. Results: Here we present OhmNet, a hierarchy-aware unsupervised node feature le…
We show that tree almost automorphism groups, including Neretin groups, satisfy the analogue of the -finiteness condition in the world of totally disconnected groups: They possess a cellular action on a contractible cellular complex such that the stabilizers are open and compact and the restriction of the act…
Paper details Hilbert-curve for high-performance data mining.
Designs a Cellular Automata rule for forming touching loop patterns.
In this brief sequel to a previous article, we recall the notion of a cut cellular surface (CCS), being a surface with boundary, which is cut in a specified way to be represented in the plane, and is composed of 0-, 1- and 2-cells. We obtain invariants of CCS's under Pachner-like moves on the cellular structure, by cou…
Recently V. Krushkal and D. Renardy generalized the Tutte polynomial from graphs to cell complexes. We show that evaluating this polynomial at the origin gives the number of cellular spanning trees in the sense of A. Duval, C. Klivans, and J. Martin. Moreover, after a slight modification, the Tutte-Krushkal-Renardy pol…
Tuning cellular network performance against always occurring wireless impairments can dramatically improve reliability to end users. In this paper, we formulate cellular network performance tuning as a reinforcement learning (RL) problem and provide a solution to improve the performance for indoor and outdoor environme…
LUNAR uses cellular automata for real-time data classification in fast streams.
We introduce the notion of a cut cellular surface (CCS), being a surface with boundary, which is cut in a specified way to be represented in the plane, and is composed of 0-, 1- and 2-cells. We obtain invariants of CCS's under Pachner-like moves on the cellular structure, by counting colourings of the 1-cells with elem…