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4,925 results on '"Gibson, Peter"'

2. On the Extrapolation of Generative Adversarial Networks for downscaling precipitation extremes in warmer climates

Author

Rampal, Neelesh, Gibson, Peter B., Sherwood, Steven, and Abramowitz, Gab

Subjects
Physics - Atmospheric and Oceanic Physics
Abstract

While deep-learning downscaling algorithms can generate fine-scale climate projections cost-effectively, it is still unclear how well they will extrapolate to unobserved climates. We assess the extrapolation capabilities of a deterministic Convolutional Neural Network baseline and a Generative Adversarial Network (GAN) built with this baseline, trained to predict daily precipitation simulated by a Regional Climate Model (RCM). Both approaches emulate future changes in annual mean precipitation well, even when trained on historical data, though training on a future climate improves performance. For extreme precipitation (99.5th percentile), RCM simulations predict a robust end-of-century increase with future warming (~5.8%/{\deg}C on average from five simulations). When trained on a future climate, GANs capture 97% of the warming-driven increase in extreme precipitation compared to 65% in a deterministic baseline. Even GANs trained historically capture 77% of this increase. Overall, GANs offer better generalization for downscaling extremes, which is important in applications relying on historical data., Comment: 16 pages, 2 Figures, 1 Table, 10 Supplementary Figures. The code can also be access via GitHub (https://github.com/nram812/On-the-Extrapolation-of-Generative-Adversarial-Networks-for-downscaling-precipitation-extremes)

Published
2024

13. Explicit solution of the 1D Schr\'odinger equation

Author

Gibson, Peter

Subjects
Mathematics - Analysis of PDEs, Mathematical Physics, 34L40, 34A05, 34L25
Abstract

Evaluation of a product integral with values in the Lie group SU(1,1) yields the explicit solution to the impedance form of the Schr\"odinger equation. Explicit formulas for the transmission coefficient and $S$-matrix of the classical one-dimensional Schr\"odinger operator with arbitrary compactly supported potential are obtained as a consequence. The formulas involve operator theoretic analogues of the standard hyperbolic functions, and provide a new window on acoustic and quantum scattering in one dimension., Comment: 28 pages

Published
2023

14. Higher dimensional versions of theorems of Euler and Fuss

Author

Gibson, Peter, Saldanha, Nicolau, and Tomei, Carlos

Subjects
Mathematics - Metric Geometry, Mathematics - Algebraic Geometry, 51M20, 51M16, 52A40, 15A63, 52B11, 52C17, 52C07
Abstract

We present higher dimensional versions of the classical results of Euler and Fuss, both of which are special cases of the celebrated Poncelet porism. Our results concern polytopes, specifically simplices, parallelotopes and cross polytopes, inscribed in a given ellipsoid and circumscribed to another. The statements and proofs use the language of linear algebra. Without loss, one of the ellipsoids is the unit sphere and the other one is also centered at the origin. Let $A$ be the positive symmetric matrix taking the outer ellipsoid to the inner one. If $trace A = 1$, there exists a bijection between the orthogonal group $O(n)$ and the set of such labeled simplices. Similarly, if $trace A^2 = 1$, there are families of parallelotopes and of cross polytopes, also indexed by $O(n)$., Comment: 15 pages, 4 figures

Published
2022

17. Exploring Definitions and Predictors of Response to Biologics for Severe Asthma

Author

Scelo, Ghislaine, Tran, Trung N., Le, Tham T., Fagerås, Malin, Dorscheid, Delbert, Busby, John, Al-Ahmad, Mona, Al-Lehebi, Riyad, Altraja, Alan, Beastall, Aaron, Bergeron, Celine, Bjermer, Leif, Bjerrum, Anne S., Cano-Rosales, Diana Jimena, Canonica, Giorgio Walter, Carter, Victoria, Charriot, Jeremy, Christoff, George C., Cosio, Borja G., Denton, Eve, Fernandez-Sanchez, Maria Jose, Fonseca, João A., Gibson, Peter G., Goh, Celine, Heaney, Liam G., Heffler, Enrico, Hew, Mark, Iwanaga, Takashi, Katial, Rohit, Koh, Mariko S., Kuna, Piotr, Larenas-Linnemann, Désirée, Lehtimäki, Lauri, Mahboub, Bassam, Martin, Neil, Matsumoto, Hisako, Menzies-Gow, Andrew N., Papadopoulos, Nikolaos G., Patel, Pujan, Perez-De-Llano, Luis, Peters, Matthew, Pfeffer, Paul E., Popov, Todor A., Porsbjerg, Celeste M., Rhee, Chin K., Sadatsafavi, Mohsen, Taillé, Camille, Torres-Duque, Carlos A., Tsai, Ming-Ju, Ulrik, Charlotte S., Upham, John W., von Bülow, Anna, Wang, Eileen, Wechsler, Michael E., and Price, David B.

Published
2024
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18. Theorems of Szeg\H{o}-Verblunsky type in the multivariate and almost periodic settings

Author

Gibson, Peter C.

Subjects
Mathematics - Functional Analysis, Mathematical Physics, 42C05 (32A10, 42B30, 42A75, 34L25)
Abstract

The classical Szeg\H{o}-Verblunsky theorem relates integrability of the logarithm of the absolutely continuous part of a probability measure on the circle to square summability of the sequence of recurrence coefficients for the orthogonal polynomials determined by the measure. The present paper constructs orthogonal polynomials on the torus of arbitrary finite dimension in order to prove theorems of Szeg\H{o}-Verblunsky type in the multivariate and almost periodic settings. The results are applied to the one-dimensional Schr\"odinger equation in impedance form to yield a new trace formula valid for piecewise constant impedance, a case where the classical trace formula breaks down. As a byproduct, the analysis gives an explicit formula for the Taylor coefficients of a bounded holomorphic function on the open disk in terms of its continued fraction expansion., Comment: 32 pages

Published
2022

20. Landscape fire smoke airway exposure impairs respiratory and cardiac function and worsens experimental asthma

Author

Gomez, Henry M., Haw, Tatt J., Ilic, Dusan, Robinson, Peter, Donovan, Chantal, Croft, Amanda J., Vanka, Kanth S., Small, Ellen, Carroll, Olivia R., Kim, Richard Y., Mayall, Jemma R., Beyene, Tesfalidet, Palanisami, Thava, Ngo, Doan T.M., Zosky, Graeme R., Holliday, Elizabeth G., Jensen, Megan E., McDonald, Vanessa M., Murphy, Vanessa E., Gibson, Peter G., and Horvat, Jay C.

Published
2024
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22. International Variation in Severe Exacerbation Rates in Patients With Severe Asthma

Author

Lee, Tae Yoon, Price, David, Yadav, Chandra Prakash, Roy, Rupsa, Lim, Laura Huey Mien, Wang, Eileen, Wechsler, Michael E., Jackson, David J., Busby, John, Heaney, Liam G., Pfeffer, Paul E., Mahboub, Bassam, Perng (Steve), Diahn-Warng, Cosio, Borja G., Perez-de-Llano, Luis, Al-Lehebi, Riyad, Larenas-Linnemann, Désirée, Al-Ahmad, Mona, Rhee, Chin Kook, Iwanaga, Takashi, Heffler, Enrico, Canonica, Giorgio Walter, Costello, Richard, Papadopoulos, Nikolaos G., Papaioannou, Andriana I., Porsbjerg, Celeste M., Torres-Duque, Carlos A., Christoff, George C., Popov, Todor A., Hew, Mark, Peters, Matthew, Gibson, Peter G., Maspero, Jorge, Bergeron, Celine, Cerda, Saraid, Contreras-Contreras, Elvia Angelica, Chen, Wenjia, and Sadatsafavi, Mohsen

Published
2024
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27. Scattering on the line via singular approximation

Author

Gibson, Peter C.

Subjects
Mathematics - Analysis of PDEs, Mathematical Physics, 34L25, 35P25, 42C05, 65L09, 34B24, 34L40
Abstract

Motivated by applications to acoustic imaging, the present work establishes a framework to analyze scattering for the one-dimensional wave, Helmholtz, Schr\"odinger and Riccati equations that allows for coefficients which are more singular than can be accommodated by previous theory. In place of the standard scattering matrix or the Weyl-Titchmarsh $m$-function, the analysis centres on a new object, the generalized reflection coefficient, which maps frequency (or the spectral parameter) to automorphisms of the Poincar\'e disk. Purely singular versions of the generalized reflection coefficient, which are amenable to direct analysis, serve to approximate the general case. Orthogonal polynomials on both the unit circle and unit disk play a key technical role, as does an exotic Riemannian structure on PSL$(2,\mathbb{R})$. A central role is also played by the newly-defined harmonic exponential operator, introduced to mediate between impedance (or index of refraction) and the reflection coefficient. The approach leads to new, explicit formulas and effective algorithms for both forward and inverse scattering. The algorithms may be viewed as nonlinear analogues of the FFT. In addition, the scattering relation is shown to be elementary in a precise sense at or below the critical threshold of continuous impedance. For discontinuous impedance, however, the reflection coefficient ceases to decay at infinity, the classical trace formula breaks down, and the scattering relation is complicated by the emergence of almost periodic structure., Comment: 88 pages, 5 figures

Published
2021

31. Impact of pre-biologic impairment on meeting domain-specific biologic responder definitions in patients with severe asthma

Author

Perez-de-Llano, Luis, Scelo, Ghislaine, Canonica, G. Walter, Chen, Wenjia, Henley, William, Larenas-Linnemann, Désirée, Peters, Matthew J., Pfeffer, Paul E., Tran, Trung N., Ulrik, Charlotte Suppli, Popov, Todor A., Sadatsafavi, Mohsen, Hew, Mark, Máspero, Jorge, Gibson, Peter G., Christoff, George C., Fitzgerald, J. Mark, Torres-Duque, Carlos A., Porsbjerg, Celeste M., Papadopoulos, Nikolaos G., Papaioannou, Andriana I., Heffler, Enrico, Iwanaga, Takashi, Al-Ahmad, Mona, Kuna, Piotr, Fonseca, João A., Al-Lehebi, Riyad, Rhee, Chin Kook, Koh, Mariko Siyue, Cosio, Borja G., Perng (Steve), Diahn-Warng, Mahboub, Bassam, Menzies-Gow, Andrew N., Jackson, David J., Busby, John, Heaney, Liam G., Patel, Pujan H., Wang, Eileen, Wechsler, Michael E., Altraja, Alan, Lehtimäki, Lauri, Bourdin, Arnaud, Bjermer, Leif, Bulathsinhala, Lakmini, Carter, Victoria, Murray, Ruth, Beastall, Aaron, Denton, Eve, and Price, David B.

Published
2024
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38. Analysis of comorbidities and multimorbidity in adult patients in the International Severe Asthma Registry

Author

Scelo, Ghislaine, Torres-Duque, Carlos A., Maspero, Jorge, Tran, Trung N., Murray, Ruth, Martin, Neil, Menzies-Gow, Andrew N., Hew, Mark, Peters, Matthew J., Gibson, Peter G., Christoff, George C., Popov, Todor A., Côté, Andréanne, Bergeron, Celine, Dorscheid, Delbert, FitzGerald, J. Mark, Chapman, Kenneth R., Boulet, Louis Philippe, Bhutani, Mohit, Sadatsafavi, Mohsen, Jiménez-Maldonado, Libardo, Duran-Silva, Mauricio, Rodriguez, Bellanid, Celis-Preciado, Carlos Andres, Cano-Rosales, Diana Jimena, Solarte, Ivan, Fernandez-Sanchez, Maria Jose, Parada-Tovar, Patricia, von Bülow, Anna, Bjerrum, Anne Sofie, Ulrik, Charlotte S., Assing, Karin Dahl, Rasmussen, Linda Makowska, Hansen, Susanne, Altraja, Alan, Bourdin, Arnaud, Taille, Camille, Charriot, Jeremy, Roche, Nicolas, Papaioannou, Andriana I., Kostikas, Konstantinos, Papadopoulos, Nikolaos G., Salvi, Sundeep, Long, Deirdre, Mitchell, Patrick D., Costello, Richard, Sirena, Concetta, Cardini, Cristina, Heffler, Enrico, Puggioni, Francesca, Canonica, Giorgio Walter, Guida, Giuseppe, Iwanaga, Takashi, Al-Ahmad, Mona, Linnemann, Désirée Larenas, Garcia, Ulises, Kuna, Piotr, Fonseca, João A., Al-Lehebi, Riyad, Koh, Mariko Siyue, Rhee, Chin Kook, Cosio, Borja G., de Llano, Luis Perez, Perng (Steve), Diahn-Warng, Huang, Erick Wan-Chun, Wang, Hao-Chien, Tsai, Ming-Ju, Mahboub, Bassam, Salameh, Laila Ibraheem Jaber, Jackson, David, Busby, John, Heaney, Liam G., Pfeffer, Paul, Goddard, Amanda Grippen, Wang, Eileen, Hoyte, Flavia, Wechsler, Michael E., Chapman, Nicholas, Katial, Rohit, Carter, Victoria, Bulathsinhala, Lakmini, Eleangovan, Neva, Ariti, Con, Lyu, Juntao, Price, David B., and Porsbjerg, Celeste

Published
2024
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41. Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed

Author

Bugarija, Sophia, Gibson, Peter C., Hu, Guanghui, Li, Peijun, and Zhao, Yue

Subjects
Mathematics - Analysis of PDEs, Mathematical Physics, 35J05, 34L25, 35R05, 35R30
Abstract

This paper analyzes inverse scattering for the one-dimensional Helmholtz equation in the case where the wave speed is piecewise constant. Scattering data recorded for an arbitrarily small interval of frequencies is shown to determine the wave speed uniquely, and a direct reconstruction algorithm is presented. The algorithm is exact provided data is recorded for a sufficiently wide range of frequencies and the jump points of the wave speed are equally spaced with respect to travel time. Numerical examples show that the algorithm works also in the general case of arbitrary wave speed (either with jumps or continuously varying etc.) giving progressively more accurate approximations as the range of recorded frequencies increases. A key underlying theoretical insight is to associate scattering data to compositions of automorphisms of the unit disk, which are in turn related to orthogonal polynomials on the unit circle. The algorithm exploits the three-term recurrence of orthogonal polynomials to reduce the required computation., Comment: 21 pages, 3 figures

Published
2019
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45. Impact of Landscape Fire Smoke Exposure on Patients With Asthma With or Without Laryngeal Hypersensitivity

Author

Vertigan, Anne E., Harvey, Erin S., Beyene, Tesfalidet, Van Buskirk, Joseph, Holliday, Elizabeth G., Bone, Sarah L., McDonald, Vanessa M., Horvat, Jay C., Murphy, Vanessa E., Jensen, Megan E., Morgan, Geoffrey G., Zosky, Graeme R., Peters, Matthew, Farah, Claude S., Jenkins, Christine R., Katelaris, Constance H., Harrington, John, Langton, David, Bardin, Philip, Katsoulotos, Gregory P., Upham, John W., Chien, Jimmy, Bowden, Jeffrey J., Rimmer, Janet, Bell, Rose, and Gibson, Peter G.

Published
2023
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47. Impact of Initiating Biologics in Patients With Severe Asthma on Long-Term Oral Corticosteroids or Frequent Rescue Steroids (GLITTER): Data From the International Severe Asthma Registry

Author

Chen, Wenjia, Tran, Trung N., Sadatsafavi, Mohsen, Murray, Ruth, Wong, Nigel Chong Boon, Ali, Nasloon, Ariti, Con, Bulathsinhala, Lakmini, Gil, Esther Garcia, FitzGerald, J. Mark, Alacqua, Marianna, Al-Ahmad, Mona, Altraja, Alan, Al-Lehebi, Riyad, Bhutani, Mohit, Bjermer, Leif, Bjerrum, Anne-Sofie, Bourdin, Arnaud, von Bülow, Anna, Busby, John, Canonica, Giorgio Walter, Carter, Victoria, Christoff, George C., Cosio, Borja G., Costello, Richard W., Fonseca, João A., Gibson, Peter G., Yoo, Kwang-Ha, Heaney, Liam G., Heffler, Enrico, Hew, Mark, Hilberg, Ole, Hoyte, Flavia, Iwanaga, Takashi, Jackson, David J., Jones, Rupert C., Koh, Mariko Siyue, Kuna, Piotr, Larenas-Linnemann, Désirée, Lehmann, Sverre, Lehtimäki, Lauri, Lyu, Juntao, Mahboub, Bassam, Maspero, Jorge, Menzies-Gow, Andrew N., Newell, Anthony, Sirena, Concetta, Papadopoulos, Nikolaos G., Papaioannou, Andriana I., Perez-de-Llano, Luis, Perng (Steve), Diahn-Warng, Peters, Matthew, Pfeffer, Paul E., Porsbjerg, Celeste M., Popov, Todor A., Rhee, Chin Kook, Salvi, Sundeep, Taillé, Camille, Taube, Christian, Torres-Duque, Carlos A., Ulrik, Charlotte, Ra, Seung-Won, Wang, Eileen, Wechsler, Michael E., and Price, David B.

Published
2023
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