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.
The paper offers simple, near-optimal algorithms for multi-group learning.
Hidden symmetry of a G'-space X is defined by an extension of the G'-action on X to that of a group G containing G' as a subgroup. In this setting, we study the relationship between the three objects: (A) global analysis on X by using representations of G (hidden symmetry); (B) global analysis on X by using representat…
Quantum Fourier Transform aids machine learning inference.
This paper continues our exploration of homology cobordism of 3-manifolds using our recent results on Cheeger-Gromov rho-invariants associated to amenable representations. We introduce a new type of torsion in 3-manifold groups we call hidden torsion, and an algebraic approximation we call local hidden torsion. We cons…
We found hidden convexity in FPCA and developed a faster algorithm.
AdaptHetero uses MLI to tailor EHR models for subgroup-specific predictions.
The hidden M-algebra is integrated into a super-Lie group, allowing for compactification of extra dimensions.
Spotlight method finds hidden errors in deep learning models.
Paper tackles hidden game problem in AI alignment and language games.
Clinical researchers use disease progression models to understand patient status and characterize progression patterns from longitudinal health records. One approach for disease progression modeling is to describe patient status using a small number of states that represent distinctive distributions over a set of obser…
A serious problem in learning probabilistic models is the presence of hidden variables. These variables are not observed, yet interact with several of the observed variables. Detecting hidden variables poses two problems: determining the relations to other variables in the model and determining the number of states of …
We discuss a number of open problems about mapping class groups of surfaces. In particular, we discuss problems related to linearity, congruence subgroups, cohomology, pseudo-Anosov stretch factors, Torelli subgroups, and normal subgroups.
Proposes a new method for finding non-redundant, standout subgroups in numeric datasets.
Study on braid group quotients by congruence subgroups.
We consider high-dimensional regression over subgroups of observations. Our work is motivated by biomedical problems, where disease subtypes, for example, may differ with respect to underlying regression models, but sample sizes at the subgroup-level may be limited. We focus on the case in which subgroup-specific model…
Consider a relatively hyperbolic group G. We prove that if G is finitely presented, so are its parabolic subgroups. Moreover, a presentation of the parabolic subgroups can be found algorithmically from a presentation of G, a solution of its word problem, and generating sets of the parabolic subgroups. We also give an a…
We discover subgroups for Cox model survival analysis, improving model accuracy.
Robust subgroup discovery finds non-redundant, statistically significant subgroups.
We present a non-parametric Bayesian approach to structure learning with hidden causes. Previous Bayesian treatments of this problem define a prior over the number of hidden causes and use algorithms such as reversible jump Markov chain Monte Carlo to move between solutions. In contrast, we assume that the number of hi…
We define a Hidden Markov Model (HMM) in which each hidden state has time-dependent that drive transitions and emissions, and show how to estimate its parameters. Our construction is motivated by the problem of inferring human mobility on sub-daily time scales from, for example, mobile phone …
New framework identifies hidden risks and optionality in American options.
We survey the problem of separation under conjugacy and malnormality of the abelian peripheral subgroups of an orientable, irreducible -manifold . We shall focus on the relation between this problem and the existence of acylindrical splittings of as an amalgamated product or HNN-extension along the abeli…
The paper solves the conjugacy problem in a specific braid group quotient and finds infinite virtually cyclic subgroups.
Randomly chosen primary hidden units and derived secondary units reduce neural network complexity.
Paper tackles decidability of subgroup discreteness problem.
Reduces field theories on principal bundles by a subgroup, deriving reduced equations.
We provide an algorithm to solve the word problem in all fundamental groups of closed 3-manifolds; in particular, we show that these groups are autostackable. This provides a common framework for a solution to the word problem in any closed 3-manifold group using finite state automata. We also introduce the notion of a…
Multilabel classification is an important problem in a wide range of domains such as text categorization and music annotation. In this paper, we present a probabilistic model, Multilabel Logistic Regression with Hidden variables (MLRH), which extends the standard logistic regression by introducing hidden variables. Hid…
New insights into hidden minima in neural networks.
The paper tackles fairness in forecasting and learning linear dynamical systems.
This paper is concerned with the sparsification of the input-hidden weights of ELM (Extreme Learning Machine). For ordinary feedforward neural networks, the sparsification is usually done by introducing certain regularization technique into the learning process of the network. But this strategy can not be applied for E…
This paper compares HMM and LSTM for time series forecasting.
In this paper, we show that for every abelian subgroup of a Garside group, some conjugate consists of ultra summit elements and the centralizer of is a finite index subgroup of the normalizer of . Combining with the results on translation numbers in Garside groups, we obtain an easy proof of the a…
In this article we present an unpublished proof of W. Thurston that pure braid groups have the congruence subgroup property.
Study on generalisation in random feature learning and hidden manifold models.
NoMoPy models noise as HMM/FHMM in Python.
We show that any subgroup of a (virtually) nilpotent-by-polycyclic group satisfies the bounded packing property of Hruska-Wise. In particular, the same is true about metabelian groups and linear solvable groups. However, we find an example of a finitely generated solvable group of derived length 3 which admits a finite…
The muti-layer information bottleneck (IB) problem, where information is propagated (or successively refined) from layer to layer, is considered. Based on information forwarded by the preceding layer, each stage of the network is required to preserve a certain level of relevance with regards to a specific hidden variab…
Researchers find a way to bound the complexity of certain subgroup geometric invariants.
We prove that the conjugacy problem in right-angled Artin groups (RAAGs), as well as in a large and natural class of subgroups of RAAGs, can be solved in linear-time. This class of subgroups contains, for instance, all graph braid groups (i.e. fundamental groups of configuration spaces of points in graphs), many hyperb…
New method for causal effect estimation with hidden confounders.
The paper solves the Nielsen realization problem for high degree del Pezzo surfaces.
We are raising questions on discrete and dense subgroups of Diff(I). Most of the questions are around the problems discussed in [A1]-[A4].
We study the congruence problem for subgroups of the modular group that appear as Veech groups of square-tiled surfaces in the minimal stratum of abelian differentials of genus two.
New algorithm tackles subgroup fairness in AI with multiple sensitive attributes.
Paper introduces a new method to compute pseudoinverse for ELM with large datasets.
New method estimates hidden binary mixture model centers efficiently.
The study of periodic subgroups in homeomorphism groups of manifolds.