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.
Human cochlear models improve DNN noise suppression systems.
HEAR benchmark evaluates audio representations for diverse tasks.
TinyLSTMs reduces speech enhancement model size and latency for hearing aids.
Hearing Aid (HA) algorithms need to be tuned ("fitted") to match the impairment of each specific patient. The lack of a fundamental HA fitting theory is a strong contributing factor to an unsatisfying sound experience for about 20% of hearing aid patients. This paper proposes a probabilistic modeling approach to the de…
Study predicts hearing recovery in MD patients using TEOAE signals.
AIDA designs personalized audio processing algorithms for hearing aids.
Standard deep learning systems require thousands or millions of examples to learn a concept, and cannot integrate new concepts easily. By contrast, humans have an incredible ability to do one-shot or few-shot learning. For instance, from just hearing a word used in a sentence, humans can infer a great deal about it, by…
CLCNet improves noise reduction in hearing aids with deep learning.
Study shows surfaces sound the same everywhere if they have a transitive isometry group.
We use an extension of Sunada's theorem to construct a nonisometric pair of isospectral simply connected domains in the Euclidean plane, thus answering negatively Kac's question, ``can one hear the shape of a drum?'' In order to construct simply connected examples, we exploit the observation that an orbifold whose unde…
Study shows agents benefit from hearing in addition to vision.
Which properties of an orbifold can we ``hear,'' i.e., which topological and geometric properties of an orbifold are determined by its Laplace spectrum? We consider this question for a class of four-dimensional Kähler orbifolds: weighted projective planes $M:=\C P^2(N_1,N_2,N_3)$ with three isolated singularities. We s…
Inverse spectral theory reveals shapes from sound.
Automatic segmentation of auditory ossicles from CT images using Ricci curvature.
To a compact hyperbolic Riemann surface, we associate a finitely summable spectral triple whose underlying topological space is the limit set of a corresponding Schottky group, and whose ``Riemannian'' aspect (Hilbert space and Dirac operator) encode the boundary action through its Patterson-Sullivan measure. We prove …
Corners can be identified by a drum's sound spectrum.
A `platycosm' is a flat Riemannian 3-manifold without boundary. In this paper we prove that there is (up to scale) a unique isospectral pair of compact platycosms.
We study the inverse spectral problem for weighted projective spaces using wave-trace methods. We show that in many cases one can "hear" the weights of a weighted projective space.
Paper shows surfaces can't be heard to be orientable.
Curiosity enhanced by audio-visual associations improves learning efficiency.
OBJECTIVE: We aim to extract and denoise the attended speaker in a noisy, two-speaker acoustic scenario, relying on microphone array recordings from a binaural hearing aid, which are complemented with electroencephalography (EEG) recordings to infer the speaker of interest. METHODS: In this study, we propose a modular …
Graph neural networks improve odor prediction from molecular structure.
FCN improves speech clarity in noisy environments.
We give a number of examples of isospectral pairs of plane domains, and a particularly simple method of proving isospectrality. One of our examples is a pair of domains that are not only isospectral but homophonic: Each domain has a distinguished point such that corresponding normalized Dirichlet eigenfunctions take eq…
We answer Mark Kac's famous question, "can one hear the shape of a drum?" in the positive for orbifolds that are 3-dimensional and 4-dimensional lens spaces; we thus complete the answer to this question for orbifold lens spaces in all dimensions. We also show that the coefficients of the asymptotic expansion of the tra…
We give a complete characterization of the relationship between the shape of a Euclidean polygon and the symbolic dynamics of its billiard flow. We prove that the only pairs of tables that can have the same bounce spectrum are right-angled tables that differ by an affine map. The main tool is a new theorem that establi…
Take a torus with a Riemannian metric. Lift the metric on its universal cover. You get a distance which in turn yields balls. On these balls you can look at the Laplacian. Focus on the spectrum for the Dirichlet or Neumann problem. We describe the asymptotic behaviour of the eigenvalues as the radius of the balls goes …
In last years, we hear about halal products in non- Muslim societies including European and American ones. In France, for example, sales of halal products sold in stores during the year 2010, increased 23 % and represented 5.5 billion euros, including 1.1 billion for the fast food, and it has not stopped growing since.…
Generates music with video emotion using deep neural networks.
We answer Mark Kacs famous question - can one hear the shape of a drum - in the negative for orbifolds that are spherical space forms. This is done by extending the techniques developed by A. Ikeda on Lens Spaces to the orbifold setting. Several results are proved to show that with certain restrictions on the dimension…
New findings show fundamental group is not audible in spherical space forms.
We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-Newman Event Horizon from the spectrum of its Laplacian. In the process we find that the angular momentum parameter, radius, area; and in the uncharged case, mass, can be written in terms of these eigenvalues. In the uncharged case th…
Perimeter on manifolds leads to new symmetrization methods.
Orbifold local orientability can be detected by heat invariants.
The musical notes from a hyperbolic marimba can identify the shape of hyperbolic surfaces.
Paper shows hyperbolic 3-manifolds can sound the same but have different cohomology.
BDH model learns like the brain, rivaling Transformer performance.
Study reveals how to determine area and curvature from fluid flow resonances.
The paper investigates exotic smooth structures on manifolds with group actions.
AeGAN improves speech clarity in noisy environments.
Let M^{2n} be a symplectic toric manifold with a fixed T^n-action and with a toric Kähler metric g. Abreu asked whether the spectrum of the Laplace operator on determines the moment polytope of M, and hence by Delzant's theorem determines M up to symplectomorphism. We report on some progre…
New method reveals corners of drum shapes.
Compactness proven for isospectral Birkhoff billiard tables.
Mathematicians decode geometric properties from eigenvalues over 112 years.
Researchers found a Weyl law for Liouville quantum gravity eigenvalues.
In 1985 Kevin Walker in his study of topology of polygon spaces raised an interesting conjecture in the spirit of the well-known question "Can you hear the shape of a drum?" of Marc Kac. Roughly, Walker's conjecture asks if one can recover relative lengths of the bars of a linkage from intrinsic algebraic properties of…
Framework improves human decision-making by learning representations.
Study causal effects on humans in mixed human-AI systems with unobserved unit types.