Zobrazeno 1 - 10
of 4 472
pro vyhledávání: '"A. Knill"'
Autor:
Kavuri, Gautam A., Palfree, Jasper, Reddy, Dileep V., Zhang, Yanbao, Bienfang, Joshua C., Mazurek, Michael D., Alhejji, Mohammad A., Siddiqui, Aliza U., Cavanagh, Joseph M., Dalal, Aagam, Abellán, Carlos, Amaya, Waldimar, Mitchell, Morgan W., Stange, Katherine E., Beale, Paul D., Brandão, Luís T. A. N., Booth, Harold, Peralta, René, Nam, Sae Woo, Mirin, Richard P., Stevens, Martin J., Knill, Emanuel, Shalm, Lynden K.
The unpredictability of random numbers is fundamental to both digital security and applications that fairly distribute resources. However, existing random number generators have limitations-the generation processes cannot be fully traced, audited, an
Externí odkaz:
http://arxiv.org/abs/2411.05247
Error correction (EC) models play a crucial role in refining Automatic Speech Recognition (ASR) transcriptions, enhancing the readability and quality of transcriptions. Without requiring access to the underlying code or model weights, EC can improve
Externí odkaz:
http://arxiv.org/abs/2409.09554
Autor:
Knill, Oliver
We visualize the identity p(n) = sum s(k) p(n-k)/n for the integer partition function p(n) involving the divisor function s, add comments on the history of visualizations of numbers, illustrate how different mathematical fields play together when pro
Externí odkaz:
http://arxiv.org/abs/2410.03672
Autor:
Knill, Oliver
We look at curvatures that are supported on k-dimensional parts of a simplicial complex G. These curvature all satisfy the Gauss-Bonnet theorem, provided that the k-dimensional simplices cover $G$. Each of these curvatures can be written as an expect
Externí odkaz:
http://arxiv.org/abs/2409.01425
Autor:
Knill, Oliver
The isospectral set of the Dirac matrix D=d+d* consists of orthogonal Q for which Q* D Q is an equivalent Dirac matrix. It can serve as the symmetry of a finite geometry G. The symmetry is a subset of the orthogonal group or unitary group and isospec
Externí odkaz:
http://arxiv.org/abs/2408.13973
Grammatical feedback is crucial for consolidating second language (L2) learning. Most research in computer-assisted language learning has focused on feedback through grammatical error correction (GEC) systems, rather than examining more holistic feed
Externí odkaz:
http://arxiv.org/abs/2408.09565
Foundation ASR models often support many languages, e.g. 100 languages in Whisper. However, there has been limited work on integrating an additional, typically low-resource, language, while maintaining performance on the original language set. Fine-t
Externí odkaz:
http://arxiv.org/abs/2407.06800
There has been increasing interest in building multilingual foundation models for NLP and speech research. This paper examines how to expand the speech translation capability of these models with restricted data. Whisper, a speech foundation model wi
Externí odkaz:
http://arxiv.org/abs/2407.01130
Autor:
Knill, Oliver
Classical simplicial cohomology on a simplicial complex G deals with functions on simplices x in G. Quadratic cohomology deals with functions on pairs of simplices (x,y) in G x G that intersect. If K,U is a closed-open pair in G, we prove here a quad
Externí odkaz:
http://arxiv.org/abs/2406.17214
Autor:
Knill, Oliver
Both Morse theory and Lusternik-Schnirelmann theory link algebra, topology and analysis in a geometric setting. The two theories can be formulated in finite geometries like graph theory or within finite abstract simplicial complexes. We work here mos
Externí odkaz:
http://arxiv.org/abs/2405.19603