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ORCIDBarry M. Trager
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- affiliation: IBM Thomas J. Watson Research Center, Yorktown Heights, NY, USA
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2020 – today
- 2025
[i5]Luis A. Lastras, Barry M. Trager, Jonathan Lenchner, Wojciech Szpankowski, Chai Wah Wu, Mark S. Squillante, Alexander Gray:
Breaking through the classical Shannon entropy limit: A new frontier through logical semantics. CoRR abs/2501.00612 (2025)- 2023
- [i4]Luis A. Lastras, Barry M. Trager, Jonathan Lenchner, Wojciech Szpankowski, Chai Wah Wu, Mark S. Squillante, Alexander Gray:
Towards a Unification of Logic and Information Theory. CoRR abs/2301.10414 (2023) - [i3]Brando Miranda, Avi Shinnar, Vasily Pestun, Barry M. Trager:
Transformer Models for Type Inference in the Simply Typed Lambda Calculus: A Case Study in Deep Learning for Code. CoRR abs/2304.10500 (2023) - 2022
- [c28]Avraham Shinnar, Barry M. Trager:
General Probability in Coq. DSN Workshops 2022: 70-71 - [c27]Koundinya Vajjha, Barry M. Trager, Avraham Shinnar, Vasily Pestun:
Formalization of a Stochastic Approximation Theorem. ITP 2022: 31:1-31:18 - [i2]Koundinya Vajjha, Barry M. Trager, Avraham Shinnar, Vasily Pestun:
Formalization of a Stochastic Approximation Theorem. CoRR abs/2202.05959 (2022) - 2021
- [c26]Koundinya Vajjha
, Avraham Shinnar, Barry M. Trager, Vasily Pestun, Nathan Fulton:
CertRL: formalizing convergence proofs for value and policy iteration in Coq. CPP 2021: 18-31 - 2020
- [i1]Koundinya Vajjha, Avraham Shinnar, Vasily Pestun, Barry M. Trager, Nathan Fulton:
CertRL: Formalizing Convergence Proofs for Value and Policy Iteration in Coq. CoRR abs/2009.11403 (2020)
2010 – 2019
- 2015
- [j14]Barry M. Trager:
Good reduction of plane curves. ACM Commun. Comput. Algebra 49(2): 58 (2015) - [j13]Elisabetta Fortuna, Patrizia M. Gianni, Barry M. Trager:
Computation of topological invariants for real projective surfaces with isolated singularities. J. Symb. Comput. 68: 131-166 (2015) - 2014
- [j12]Alexey Lvov, Luis Alfonso Lastras-Montaño, Barry M. Trager, Viresh Paruthi, Robert Shadowen, Ali El-Zein:
Verification of Galois field based circuits by formal reasoning based on computational algebraic geometry. Formal Methods Syst. Des. 45(2): 189-212 (2014) - [c25]Kartheek Chandu, Mikel Stanich, Chai Wah Wu, Barry M. Trager:
Hybrid halftoning using direct multi-bit search (DMS) screen algorithm. Color Imaging: Displaying, Processing, Hardcopy, and Applications 2014: 90150P - [c24]Chai Wah Wu, Barry M. Trager, Kartheek Chandu, Mikel Stanich:
A Riesz energy based approach to generating dispersed dot patterns for halftoning applications. Color Imaging: Displaying, Processing, Hardcopy, and Applications 2014: 90150Q - [c23]Yuye He, Sebastien Blandin, Laura Wynter, Barry M. Trager:
Analysis and Real-Time Prediction of Local Incident Impact on Transportation Networks. ICDM Workshops 2014: 158-166 - 2013
- [c22]Kartheek Chandu, Mikel Stanich, Chai Wah Wu, Barry M. Trager:
Direct binary search (DBS) algorithm with constraints. Color Imaging: Displaying, Processing, Hardcopy, and Applications 2013: 86520K - [c21]Barry M. Trager, Kartheek Chandu, Chai Wah Wu, Mikel Stanich:
A GPU based implementation of direct multi-bit search (DMS) screen algorithm. Image Processing: Algorithms and Systems 2013: 86550Z - 2012
- [c20]Kartheek Chandu, Mikel Stanich, Chai Wah Wu, Barry M. Trager:
Direct multi-bit search (DMS) screen algorithm. ICIP 2012: 817-820 - [c19]Kartheek Chandu, Mikel Stanich, Barry M. Trager, Chai Wah Wu:
A GPU implementation of color digital halftoning using the Direct Binary Search algorithm. ISCAS 2012: 185-188 - 2011
- [c18]Barry M. Trager, Chai Wah Wu, Mikel Stanich, Kartheek Chandu:
GPU-enabled parallel processing for image halftoning applications. ISCAS 2011: 1528-1531 - [c17]Luis Alfonso Lastras-Montaño, Patrick J. Meaney, Eldee Stephens, Barry M. Trager, James A. O'Connor, Luiz C. Alves:
A new class of array codes for memory storage. ITA 2011: 223-232
2000 – 2009
- 2009
- [j11]Elisabetta Fortuna, Patrizia M. Gianni, Barry M. Trager:
Generators of the ideal of an algebraic space curve. J. Symb. Comput. 44(9): 1234-1254 (2009) - 2006
- [e2]Barry M. Trager:
Symbolic and Algebraic Computation, International Symposium, ISSAC 2006, Genoa, Italy, July 9-12, 2006, Proceedings. ACM 2006, ISBN 1-59593-276-3 [contents] - 2005
- [j10]Elisabetta Fortuna, Patrizia M. Gianni, Barry M. Trager:
Irreducible decomposition of polynomial ideals. J. Symb. Comput. 39(3-4): 305-316 (2005) - 2002
- [j9]Elisabetta Fortuna, Patrizia M. Gianni, Barry M. Trager:
Derivations and Radicals of Polynomial Ideals over Fields of Arbitrary Characteristic. J. Symb. Comput. 33(5): 609-625 (2002) - [j8]Olivier Cormier, Michael F. Singer, Barry M. Trager, Felix Ulmer:
Linear Differential Operators for Polynomial Equations. J. Symb. Comput. 34(5): 355-398 (2002) - 2001
- [c16]Elisabetta Fortuna, Patrizia M. Gianni, Barry M. Trager:
Computation of the radical of polynomial ideals over fields of arbitrary characteristic. ISSAC 2001: 116-120
1990 – 1999
- 1998
- [j7]Patrizia M. Gianni, Mika Seppälä, Robert Silhol, Barry M. Trager:
Riemann Surfaces, Plane Algebraic Curves and Their Period Matrices. J. Symb. Comput. 26(6): 789-803 (1998) - [e1]Volker Weispfenning, Barry M. Trager:
Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation, ISSAC '98, Rostock, Germany, August 13-15, 1998. ACM 1998, ISBN 1-58113-002-3 [contents] - 1997
- [c15]Robert M. Corless, Patrizia M. Gianni, Barry M. Trager:
A Reordered Schur Factorization Method for Zero-dimensional Polynomial Systems with Multiple Roots. ISSAC 1997: 133-140 - [c14]Patrizia M. Gianni, Barry M. Trager:
Integral Closure of Noetherian Rings. ISSAC 1997: 212-216 - 1995
- [j6]Patrizia M. Gianni, Barry M. Trager:
Square-free algorithms in positive characteristic. Appl. Algebra Eng. Commun. Comput. 7(1): 1-14 (1995) - [c13]Robert M. Corless, Patrizia M. Gianni, Barry M. Trager, Stephen M. Watt:
The Singular Value Decomposition for Polynomial Systems. ISSAC 1995: 195-207 - 1994
- [c12]Richard D. Jenks, Barry M. Trager:
How to Make AXIOM into a Scratchpad. ISSAC 1994: 32-40 - 1991
- [c11]James H. Davenport, Patrizia M. Gianni, Barry M. Trager:
Scratchpad's View of Algebra II: A Categorical View of Factorization. ISSAC 1991: 32-38 - 1990
- [j5]Erich L. Kaltofen, Barry M. Trager:
Computing with Polynomials Given By Black Boxes for Their Evaluations: Greatest Common Divisors, Factorization, Separation of Numerators and Denominators. J. Symb. Comput. 9(3): 301-320 (1990) - [c10]James H. Davenport, Barry M. Trager:
Scratchpad's View of Algebra I: Basic Commutative Algebra. DISCO 1990: 40-54
1980 – 1989
- 1988
- [j4]Patrizia M. Gianni, Barry M. Trager, Gail Zacharias:
Gröbner Bases and Primary Decomposition of Polynomial Ideals. J. Symb. Comput. 6(2/3): 149-167 (1988) - [c9]Erich L. Kaltofen, Barry M. Trager:
Computing with Polynomials Given By Black Boxes for Their Evaluation: Greatest Common Divisors, Factorization, Separation of Numerators and Denominators. FOCS 1988: 296-305 - [c8]Patrizia M. Gianni, Victor Miller, Barry M. Trager:
Decomposition of Algebras. ISSAC 1988: 300-308 - 1985
- [j3]James H. Davenport, Barry M. Trager:
On the Parallel Risch Algorithm (II). ACM Trans. Math. Softw. 11(4): 356-362 (1985) - [c7]Barry M. Trager:
Computer Algebra and Exact Solutions to Systems of Polynomial Equations (Abstract). Accurate Scientific Computations 1985: 181 - [c6]Patrizia M. Gianni, Barry M. Trager:
GCD's and Factoring Multivariate Polynominals Using Gröbner Bases. European Conference on Computer Algebra (2) 1985: 409-410 - 1984
- [b1]Barry M. Trager:
Integration of algebraic functions. Massachusetts Institute of Technology, Cambridge, MA, USA, 1984 - 1981
- [j2]Richard D. Jenks, Barry M. Trager:
A language for computational algebra. ACM SIGPLAN Notices 16(11): 22-29 (1981) - [c5]Richard D. Jenks, Barry M. Trager:
A language for computational algebra. SYMSACC 1981: 6-13 - [c4]James H. Davenport, Barry M. Trager:
Factorization over finitely generated fields. SYMSACC 1981: 200-205
1970 – 1979
- 1979
- [j1]Paul S. Wang, Barry M. Trager:
New Algorithms for Polynomial Square-Free Decomposition Over the Integers. SIAM J. Comput. 8(3): 300-305 (1979) - [c3]Barry M. Trager:
Integration of simple radical extensions. EUROSAM 1979: 408-414 - 1976
- [c2]Barry M. Trager:
Algebraic factoring and rational function integration. SYMSACC 1976: 219-226 - [c1]Barry M. Trager, David Y. Y. Yun:
Completing nth powers of polynomials. SYMSACC 1976: 351-355
Coauthor Index
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