42 Ajtai PPTs View free & download

Ajtai Open Problem Session: Descriptive Complexity PowerPoint PPT Presentation

Ajtai Open Problem Session: Descriptive Complexity - Here f is first-order, and P is, say, a binary relation symbol, and so about graphs ... Let L be a signature, that is, a collection of relation symbols ...

Here f is first-order, and P is, say, a binary relation symbol, and so about graphs ... Let L be a signature, that is, a collection of relation symbols ...

| PowerPoint PPT presentation | free to download

Comparison Networks PowerPoint PPT Presentation

Comparison Networks - Batcher Sorting Network, n = 4. n = 4. n = 4. Batcher Sorting ... Batcher. AKS (Chv tal) AKS (Ajtai, Koml s, Szemer di) Network: based on expander graphs. ...

Batcher Sorting Network, n = 4. n = 4. n = 4. Batcher Sorting ... Batcher. AKS (Chv tal) AKS (Ajtai, Koml s, Szemer di) Network: based on expander graphs. ...

| PowerPoint PPT presentation | free to view

On Bounded Distance Decoding, PowerPoint PPT Presentation

On Bounded Distance Decoding, - Basis: A set of linearly independent vectors that generate ... Signature schemes [LM '08, GPV '08] Public-Key Cryptosystems [AD '97] (uSVP)? [Reg '03] (uSVP) ...

Basis: A set of linearly independent vectors that generate ... Signature schemes [LM '08, GPV '08] Public-Key Cryptosystems [AD '97] (uSVP)? [Reg '03] (uSVP) ...

| PowerPoint PPT presentation | free to download

Oded Regev - On Lattices, Learning with Errors, Random Linear Codes, and Cryptography Oded Regev Tel-Aviv University Outline Basis: v1, ,vn vectors in Rn The lattice L is ...

On Lattices, Learning with Errors, Random Linear Codes, and Cryptography Oded Regev Tel-Aviv University Outline Basis: v1, ,vn vectors in Rn The lattice L is ...

| PowerPoint PPT presentation | free to download

Endre Szemer PowerPoint PPT Presentation

Endre Szemer - Endre Szemer di & TCS Avi Wigderson IAS, Princeton

Endre Szemer di & TCS Avi Wigderson IAS, Princeton

| PowerPoint PPT presentation | free to download

Endre Szemer - Endre Szemer di & TCS Avi Wigderson IAS, Princeton * . Happy Birthday Endre ! Selection of omitted results [Babai-Hajnal-Szemer di-Turan] Lower bounds on ...

Endre Szemer di & TCS Avi Wigderson IAS, Princeton * . Happy Birthday Endre ! Selection of omitted results [Babai-Hajnal-Szemer di-Turan] Lower bounds on ...

| PowerPoint PPT presentation | free to download

Raghu Meka - DNF Sparsification and Counting Raghu Meka (IAS, Princeton) Parikshit Gopalan (MSR, SVC) Omer Reingold (MSR, SVC) * Can we Count? * Count proper 4-colorings?

DNF Sparsification and Counting Raghu Meka (IAS, Princeton) Parikshit Gopalan (MSR, SVC) Omer Reingold (MSR, SVC) * Can we Count? * Count proper 4-colorings?

| PowerPoint PPT presentation | free to download

Oded Regev - On Lattices, Learning with Errors, Random Linear Codes, and Cryptography Oded Regev Tel-Aviv University Outline Basis: v1, ,vn vectors in Rn The lattice L is ...

On Lattices, Learning with Errors, Random Linear Codes, and Cryptography Oded Regev Tel-Aviv University Outline Basis: v1, ,vn vectors in Rn The lattice L is ...

| PowerPoint PPT presentation | free to view

Estimating the Sortedness of a Data Stream PowerPoint PPT Presentation

Estimating the Sortedness of a Data Stream - Cormode-Muthukrishnan-Sahinalp, LibenNowell-Vee-Zhu, Ailon-Chazelle-Commandur-Liu] ... [LibenNowell-Vee-Zhu, Sun-Woodruff] Computing Ed( ) in other models: ...

Cormode-Muthukrishnan-Sahinalp, LibenNowell-Vee-Zhu, Ailon-Chazelle-Commandur-Liu] ... [LibenNowell-Vee-Zhu, Sun-Woodruff] Computing Ed( ) in other models: ...

| PowerPoint PPT presentation | free to view

Lower Bound Techniques for Data Structures PowerPoint PPT Presentation

Lower Bound Techniques for Data Structures - Title: Lower Bounds Techniques for Data Structures Last modified by: Mihai Patrascu Created Date: 8/16/2006 12:00:00 AM Document presentation format

Title: Lower Bounds Techniques for Data Structures Last modified by: Mihai Patrascu Created Date: 8/16/2006 12:00:00 AM Document presentation format

| PowerPoint PPT presentation | free to download

Has There Been Progress on the P vs. NP Question? PowerPoint PPT Presentation

Has There Been Progress on the P vs. NP Question? - Has There Been Progress on the P vs. NP Question? Scott Aaronson * * * * * * * * * * * * * * * * * * P vs. NP: I Assume You ve Heard of It Class of decision ...

Has There Been Progress on the P vs. NP Question? Scott Aaronson * * * * * * * * * * * * * * * * * * P vs. NP: I Assume You ve Heard of It Class of decision ...

| PowerPoint PPT presentation | free to download

Time-space tradeoff lower bounds for non-uniform computation PowerPoint PPT Presentation

Time-space tradeoff lower bounds for non-uniform computation - To understand relationships between the two most critical measures of computation ... Makes first step' vacuous for unnatural problems. 6. Non-uniform computation ...

To understand relationships between the two most critical measures of computation ... Makes first step' vacuous for unnatural problems. 6. Non-uniform computation ...

| PowerPoint PPT presentation | free to download

New Lattice Based Cryptographic Constructions PowerPoint PPT Presentation

New Lattice Based Cryptographic Constructions - Basis: v1,...,vn vectors in Rn. The lattice is a1v1 ... anvn ... Poisson Summation Formula implies: Banaszczyk's theorem: For any lattice L, Proof of Theorem ...

Basis: v1,...,vn vectors in Rn. The lattice is a1v1 ... anvn ... Poisson Summation Formula implies: Banaszczyk's theorem: For any lattice L, Proof of Theorem ...

| PowerPoint PPT presentation | free to view

Cryptography against Memory Attacks PowerPoint PPT Presentation

Cryptography against Memory Attacks - Most crypto based on lattices uses q-ary lattices. as a basis for their hard-on-average problem ... words can rely on LWE-decision being. as hard as gapSVP as ...

Most crypto based on lattices uses q-ary lattices. as a basis for their hard-on-average problem ... words can rely on LWE-decision being. as hard as gapSVP as ...

| PowerPoint PPT presentation | free to download

SSAT A new characterization of NP PowerPoint PPT Presentation

SSAT A new characterization of NP - SSAT. A new characterization of NP. and the hardness of ... SVP: Find the shortest non-zero vector in L. CVP: Given a vector y Rn, find a ... (dist(y,L) gd) ...

SSAT. A new characterization of NP. and the hardness of ... SVP: Find the shortest non-zero vector in L. CVP: Given a vector y Rn, find a ... (dist(y,L) gd) ...

| PowerPoint PPT presentation | free to download

Provable Security: Some Caveats - Provable Security: Some Caveats

Provable Security: Some Caveats

| PowerPoint PPT presentation | free to view

New Lattice Based Cryptographic Constructions - New Lattice Based Cryptographic Constructions Oded Regev Lattices Basis: v1, ,vn vectors in Rn The lattice is a1v1+ +anvn for all integer a1, ,an.

New Lattice Based Cryptographic Constructions Oded Regev Lattices Basis: v1, ,vn vectors in Rn The lattice is a1v1+ +anvn for all integer a1, ,an.

| PowerPoint PPT presentation | free to download

The Computer Science Picture of Reality PowerPoint PPT Presentation

The Computer Science Picture of Reality - Quantum Algorithms & Complexity Umesh Vazirani U.C. Berkeley

Quantum Algorithms & Complexity Umesh Vazirani U.C. Berkeley

| PowerPoint PPT presentation | free to download

Cryptosystems from uniqueSVP lattices AjtaiDwork9707, Regev03 PowerPoint PPT Presentation

Cryptosystems from uniqueSVP lattices AjtaiDwork9707, Regev03 - Promise: the shortest vector u is shorter by a factor of f(n) ... L* perturb. Case 1. Case 2. 9. Theorem: (using [Banaszczyk'93] ...

Promise: the shortest vector u is shorter by a factor of f(n) ... L* perturb. Case 1. Case 2. 9. Theorem: (using [Banaszczyk'93] ...

| PowerPoint PPT presentation | free to download

1. A K - Budapest : Franklin, 1904. FERENCZI ZOLT N 1899-1925 k z tt a budapesti Egyetemi K nyvt r igazgat ja A k nyvt rtan alapvonalai Bp. : MKOF, 1903.

Budapest : Franklin, 1904. FERENCZI ZOLT N 1899-1925 k z tt a budapesti Egyetemi K nyvt r igazgat ja A k nyvt rtan alapvonalai Bp. : MKOF, 1903.

| PowerPoint PPT presentation | free to download

Expander graphs PowerPoint PPT Presentation

Expander graphs - Expander graphs a ubiquitous pseudorandom structure (applications & constructions) Avi Wigderson IAS, Princeton Monograph: [Hoory, Linial, W. 2006]

Expander graphs a ubiquitous pseudorandom structure (applications & constructions) Avi Wigderson IAS, Princeton Monograph: [Hoory, Linial, W. 2006]

| PowerPoint PPT presentation | free to download

What is ATP? PowerPoint PPT Presentation

What is ATP? - The Use of the Energy in ATP for Muscle Contractions Nitya Anand Melissa Donaldson Leigh McDonald Chris Smyre What is ATP? ATP: Adenosine Tri-phosphate Ribose Adenine ...

The Use of the Energy in ATP for Muscle Contractions Nitya Anand Melissa Donaldson Leigh McDonald Chris Smyre What is ATP? ATP: Adenosine Tri-phosphate Ribose Adenine ...

| PowerPoint PPT presentation | free to download

Constant Degree, Lossless Expanders PowerPoint PPT Presentation

Constant Degree, Lossless Expanders - Expander codes [Gal63,Tan81,SS96,Spi96,LMSS01] ... Linear code. Rate 1 - M/N = 1 - Minimum distance K. ... Lossless Expanders are Incredibly Fault Tolerant [UW87] ...

Expander codes [Gal63,Tan81,SS96,Spi96,LMSS01] ... Linear code. Rate 1 - M/N = 1 - Minimum distance K. ... Lossless Expanders are Incredibly Fault Tolerant [UW87] ...

| PowerPoint PPT presentation | free to download

Expander graphs - Expander graphs applications and combinatorial constructions Avi Wigderson IAS, Princeton [Hoory, Linial, W. 2006] Expander graphs and applications

Expander graphs applications and combinatorial constructions Avi Wigderson IAS, Princeton [Hoory, Linial, W. 2006] Expander graphs and applications

| PowerPoint PPT presentation | free to download

Three Recent Results in Algorithmic Game Theory PowerPoint PPT Presentation

Three Recent Results in Algorithmic Game Theory - BATS/TAGI. 2. I The fundamental problem. of ... BATS/TAGI. 6. Fundamental question. Is there an NP-hard problem that can be ... BATS/TAGI. 11 ...

BATS/TAGI. 2. I The fundamental problem. of ... BATS/TAGI. 6. Fundamental question. Is there an NP-hard problem that can be ... BATS/TAGI. 11 ...

| PowerPoint PPT presentation | free to view

The%20Hitchhiker PowerPoint PPT Presentation

The%20Hitchhiker - It's impossible to draw or visualize a 500 dimensional lattice. ... n = (dimension of a lattice L) x (# of bits in a coordinate) ...

It's impossible to draw or visualize a 500 dimensional lattice. ... n = (dimension of a lattice L) x (# of bits in a coordinate) ...

| PowerPoint PPT presentation | free to download

Green Fluorescent Protein GFP PowerPoint PPT Presentation

Green Fluorescent Protein GFP - Snakelocks anemone NRP. MSA. MVIEW. ClustalW. Unrooted Tree. ClustalW ... http://www.horozbina.com/icerik/44/Anemonia-sulcata---Mediterranean-Anemone .html ...

Snakelocks anemone NRP. MSA. MVIEW. ClustalW. Unrooted Tree. ClustalW ... http://www.horozbina.com/icerik/44/Anemonia-sulcata---Mediterranean-Anemone .html ...

| PowerPoint PPT presentation | free to view

Computational Geometry Seminar PowerPoint PPT Presentation

Computational Geometry Seminar - Crossing Lemma - Part I. 2. What did we see till now ? ... If n8 then G cannot have 4n edges, so it must be the case that n9 (notice that if n=9 then G=K9) ...

Crossing Lemma - Part I. 2. What did we see till now ? ... If n8 then G cannot have 4n edges, so it must be the case that n9 (notice that if n=9 then G=K9) ...

| PowerPoint PPT presentation | free to download

My Favorite Ten Complexity Theorems of the Past Decade II PowerPoint PPT Presentation

My Favorite Ten Complexity Theorems of the Past Decade II - Invited Talk at FST&TCS '04. My Favorite Ten Complexity Theorems of the Past Decade ... Undirected Graph Connectivity in Deterministic Logarithmic Space. Reingold 2005 ...

Invited Talk at FST&TCS '04. My Favorite Ten Complexity Theorems of the Past Decade ... Undirected Graph Connectivity in Deterministic Logarithmic Space. Reingold 2005 ...

| PowerPoint PPT presentation | free to view

Lower Bounds on Streaming Algorithms for Approximating the Length of the Longest Increasing Subseque PowerPoint PPT Presentation

Lower Bounds on Streaming Algorithms for Approximating the Length of the Longest Increasing Subseque - Longest Increasing Subsequence. Anna Gal UT Austin. Parikshit Gopalan U. Washington ... LIS( ): Length of Longest Increasing Subsequence. 5 7 8 1 4 2 10 3 6 9 ...

Longest Increasing Subsequence. Anna Gal UT Austin. Parikshit Gopalan U. Washington ... LIS( ): Length of Longest Increasing Subsequence. 5 7 8 1 4 2 10 3 6 9 ...

| PowerPoint PPT presentation | free to download

Hardness amplification proofs require majority PowerPoint PPT Presentation

Hardness amplification proofs require majority - Proof of correctness = decoding algorithm in C. Results hold when C = general circuits ... Decoding: Majority. Other consequences of our results. Outline ...

Proof of correctness = decoding algorithm in C. Results hold when C = general circuits ... Decoding: Majority. Other consequences of our results. Outline ...

| PowerPoint PPT presentation | free to view

Models and Techniques for Communication in Dynamic Networks PowerPoint PPT Presentation

Models and Techniques for Communication in Dynamic Networks - Basic Assumptions. All packets are atomic (unsplittable, uncompressable) ... Basic models: Adversarial or random node/edge faults. Central questions: ...

Basic Assumptions. All packets are atomic (unsplittable, uncompressable) ... Basic models: Adversarial or random node/edge faults. Central questions: ...

| PowerPoint PPT presentation | free to download

Towards Privacy in Public Databases PowerPoint PPT Presentation

Towards Privacy in Public Databases - nice learning properties. privacy via cross-training. Setting the Real ... Nice ...

nice learning properties. privacy via cross-training. Setting the Real ... Nice ...

| PowerPoint PPT presentation | free to download

Generalized Linear Programming PowerPoint PPT Presentation

Generalized Linear Programming - Simplex method [Dantzig 1947] very fast in practice. very good ' ... the simplex algorithm that selects an improving edge ... the d-dimensional simplex: (log d) ...

Simplex method [Dantzig 1947] very fast in practice. very good ' ... the simplex algorithm that selects an improving edge ... the d-dimensional simplex: (log d) ...

| PowerPoint PPT presentation | free to download

Fan Chung Graham PowerPoint PPT Presentation

Fan Chung Graham - New problems and directions Percolation on special graphs Correlation among vertices Classical random graph theory Graph coloring/routing Random graphs with any ...

New problems and directions Percolation on special graphs Correlation among vertices Classical random graph theory Graph coloring/routing Random graphs with any ...

| PowerPoint PPT presentation | free to download

On the Hardness of Being Truthful PowerPoint PPT Presentation

On the Hardness of Being Truthful - Joint work with Christos ... Conjecture: SATL is NP-hard for every exponentially dense L. Intuition ... Let L be some exponentially dense language. ...

Joint work with Christos ... Conjecture: SATL is NP-hard for every exponentially dense L. Intuition ... Let L be some exponentially dense language. ...

| PowerPoint PPT presentation | free to view

7. A puha diktat PowerPoint PPT Presentation

7. A puha diktat - 7. A puha diktat ra belpolitikai lete (1963 85) Magyarorsz g t rt nete a K d r-korszakban (1956 1988) Szervezeti k rd sek, k der gyek A gazdas gi ...

7. A puha diktat ra belpolitikai lete (1963 85) Magyarorsz g t rt nete a K d r-korszakban (1956 1988) Szervezeti k rd sek, k der gyek A gazdas gi ...

| PowerPoint PPT presentation | free to download

My Favorite Ten Complexity Theorems of the Past Decade II - Invited Talk at FST&TCS '04. My Favorite Ten Complexity Theorems of the ... Beauty in results that tie together two seemingly different areas of complexity. ...

Invited Talk at FST&TCS '04. My Favorite Ten Complexity Theorems of the ... Beauty in results that tie together two seemingly different areas of complexity. ...

| PowerPoint PPT presentation | free to download

The uniqueSVP World PowerPoint PPT Presentation

The uniqueSVP World - And access to wavy/uniform distinguisher. Decision: Is x 1/poly(n) close to H0 or to H ... Ask oracle if z is drawn from wavy or uniform distribution ...

And access to wavy/uniform distinguisher. Decision: Is x 1/poly(n) close to H0 or to H ... Ask oracle if z is drawn from wavy or uniform distribution ...

| PowerPoint PPT presentation | free to download

Hardness amplification proofs require majority - Consider C(X) with oracle access to Enc(F)(y) H(y) ... Run C(X); answer i-th query yi with Enc(F)(yi) zi Q.e.d.. Proof outline in non-uniform case ...

Consider C(X) with oracle access to Enc(F)(y) H(y) ... Run C(X); answer i-th query yi with Enc(F)(yi) zi Q.e.d.. Proof outline in non-uniform case ...

| PowerPoint PPT presentation | free to download

Welcome to the course Concrete Complexity Theory PowerPoint PPT Presentation

Welcome to the course Concrete Complexity Theory - Please register for the oral exam until Dec. 11th. ... Negative test graph: defined by a set W V. Its edges are all those connecting ...

Please register for the oral exam until Dec. 11th. ... Negative test graph: defined by a set W V. Its edges are all those connecting ...

| PowerPoint PPT presentation | free to view

NonMalleable Encryption From Any Semantically Secure One PowerPoint PPT Presentation

NonMalleable Encryption From Any Semantically Secure One - Non-Malleable Encryption From Any Semantically Secure One ... Many well-known cryptosystems are easily malleable. GM Encryption: Enc(0) = r2, Enc(1) = yr2. ...

Non-Malleable Encryption From Any Semantically Secure One ... Many well-known cryptosystems are easily malleable. GM Encryption: Enc(0) = r2, Enc(1) = yr2. ...

| PowerPoint PPT presentation | free to view

Ajtai PowerPoint PPT Presentations