$ \newcommand{\undefined}{} \newcommand{\hfill}{} \newcommand{\qedhere}{\square} \newcommand{\qed}{\square} \newcommand{\ensuremath}[1]{#1} \newcommand{\bit}{\{0,1\}} \newcommand{\Bit}{\{-1,1\}} \newcommand{\Stab}{\mathbf{Stab}} \newcommand{\NS}{\mathbf{NS}} \newcommand{\ba}{\mathbf{a}} \newcommand{\bh}{\mathbf{h}} \newcommand{\br}{\mathbf{r}} \newcommand{\bs}{\mathbf{s}} \newcommand{\bx}{\mathbf{x}} \newcommand{\by}{\mathbf{y}} \newcommand{\bz}{\mathbf{z}} \newcommand{\Var}{\mathbf{Var}} \newcommand{\dist}{\text{dist}} \newcommand{\norm}[1]{\\|#1\\|} \newcommand{\etal} \newcommand{\ie} \newcommand{\eg} \newcommand{\cf} \newcommand{\rank}{\text{rank}} \newcommand{\tr}{\text{tr}} \newcommand{\bbA}{\mathbb A} \newcommand{\bbB}{\mathbb B} \newcommand{\bbC}{\mathbb C} \newcommand{\bbD}{\mathbb D} \newcommand{\bbE}{\mathbb E} \newcommand{\bbF}{\mathbb F} \newcommand{\bbG}{\mathbb G} \newcommand{\bbH}{\mathbb H} \newcommand{\bbI}{\mathbb I} \newcommand{\bbJ}{\mathbb J} \newcommand{\bbK}{\mathbb K} \newcommand{\bbL}{\mathbb L} \newcommand{\bbM}{\mathbb M} \newcommand{\bbN}{\mathbb N} \newcommand{\bbO}{\mathbb O} \newcommand{\bbP}{\mathbb P} \newcommand{\bbQ}{\mathbb Q} \newcommand{\bbR}{\mathbb R} \newcommand{\bbS}{\mathbb S} \newcommand{\bbT}{\mathbb T} \newcommand{\bbU}{\mathbb U} \newcommand{\bbV}{\mathbb V} \newcommand{\bbW}{\mathbb W} \newcommand{\bbX}{\mathbb X} \newcommand{\bbY}{\mathbb Y} \newcommand{\bbZ}{\mathbb Z} \newcommand{\sA}{\mathscr A} \newcommand{\sB}{\mathscr B} \newcommand{\sC}{\mathscr C} \newcommand{\sD}{\mathscr D} \newcommand{\sE}{\mathscr E} \newcommand{\sF}{\mathscr F} \newcommand{\sG}{\mathscr G} \newcommand{\sH}{\mathscr H} \newcommand{\sI}{\mathscr I} \newcommand{\sJ}{\mathscr J} \newcommand{\sK}{\mathscr K} \newcommand{\sL}{\mathscr L} \newcommand{\sM}{\mathscr M} \newcommand{\sN}{\mathscr N} \newcommand{\sO}{\mathscr O} \newcommand{\sP}{\mathscr P} \newcommand{\sQ}{\mathscr Q} \newcommand{\sR}{\mathscr R} \newcommand{\sS}{\mathscr S} \newcommand{\sT}{\mathscr T} \newcommand{\sU}{\mathscr U} \newcommand{\sV}{\mathscr V} \newcommand{\sW}{\mathscr W} \newcommand{\sX}{\mathscr X} \newcommand{\sY}{\mathscr Y} \newcommand{\sZ}{\mathscr Z} \newcommand{\sfA}{\mathsf A} \newcommand{\sfB}{\mathsf B} \newcommand{\sfC}{\mathsf C} \newcommand{\sfD}{\mathsf D} \newcommand{\sfE}{\mathsf E} \newcommand{\sfF}{\mathsf F} \newcommand{\sfG}{\mathsf G} \newcommand{\sfH}{\mathsf H} \newcommand{\sfI}{\mathsf I} \newcommand{\sfJ}{\mathsf J} \newcommand{\sfK}{\mathsf K} \newcommand{\sfL}{\mathsf L} \newcommand{\sfM}{\mathsf M} \newcommand{\sfN}{\mathsf N} \newcommand{\sfO}{\mathsf O} \newcommand{\sfP}{\mathsf P} \newcommand{\sfQ}{\mathsf Q} \newcommand{\sfR}{\mathsf R} \newcommand{\sfS}{\mathsf S} \newcommand{\sfT}{\mathsf T} \newcommand{\sfU}{\mathsf U} \newcommand{\sfV}{\mathsf V} \newcommand{\sfW}{\mathsf W} \newcommand{\sfX}{\mathsf X} \newcommand{\sfY}{\mathsf Y} \newcommand{\sfZ}{\mathsf Z} \newcommand{\cA}{\mathcal A} \newcommand{\cB}{\mathcal B} \newcommand{\cC}{\mathcal C} \newcommand{\cD}{\mathcal D} \newcommand{\cE}{\mathcal E} \newcommand{\cF}{\mathcal F} \newcommand{\cG}{\mathcal G} \newcommand{\cH}{\mathcal H} \newcommand{\cI}{\mathcal I} \newcommand{\cJ}{\mathcal J} \newcommand{\cK}{\mathcal K} \newcommand{\cL}{\mathcal L} \newcommand{\cM}{\mathcal M} \newcommand{\cN}{\mathcal N} \newcommand{\cO}{\mathcal O} \newcommand{\cP}{\mathcal P} \newcommand{\cQ}{\mathcal Q} \newcommand{\cR}{\mathcal R} \newcommand{\cS}{\mathcal S} \newcommand{\cT}{\mathcal T} \newcommand{\cU}{\mathcal U} \newcommand{\cV}{\mathcal V} \newcommand{\cW}{\mathcal W} \newcommand{\cX}{\mathcal X} \newcommand{\cY}{\mathcal Y} \newcommand{\cZ}{\mathcal Z} \newcommand{\bfA}{\mathbf A} \newcommand{\bfB}{\mathbf B} \newcommand{\bfC}{\mathbf C} \newcommand{\bfD}{\mathbf D} \newcommand{\bfE}{\mathbf E} \newcommand{\bfF}{\mathbf F} \newcommand{\bfG}{\mathbf G} \newcommand{\bfH}{\mathbf H} \newcommand{\bfI}{\mathbf I} \newcommand{\bfJ}{\mathbf J} \newcommand{\bfK}{\mathbf K} \newcommand{\bfL}{\mathbf L} \newcommand{\bfM}{\mathbf M} \newcommand{\bfN}{\mathbf N} \newcommand{\bfO}{\mathbf O} \newcommand{\bfP}{\mathbf P} \newcommand{\bfQ}{\mathbf Q} \newcommand{\bfR}{\mathbf R} \newcommand{\bfS}{\mathbf S} \newcommand{\bfT}{\mathbf T} \newcommand{\bfU}{\mathbf U} \newcommand{\bfV}{\mathbf V} \newcommand{\bfW}{\mathbf W} \newcommand{\bfX}{\mathbf X} \newcommand{\bfY}{\mathbf Y} \newcommand{\bfZ}{\mathbf Z} \newcommand{\rmA}{\mathrm A} \newcommand{\rmB}{\mathrm B} \newcommand{\rmC}{\mathrm C} \newcommand{\rmD}{\mathrm D} \newcommand{\rmE}{\mathrm E} \newcommand{\rmF}{\mathrm F} \newcommand{\rmG}{\mathrm G} \newcommand{\rmH}{\mathrm H} \newcommand{\rmI}{\mathrm I} \newcommand{\rmJ}{\mathrm J} \newcommand{\rmK}{\mathrm K} \newcommand{\rmL}{\mathrm L} \newcommand{\rmM}{\mathrm M} \newcommand{\rmN}{\mathrm N} \newcommand{\rmO}{\mathrm O} \newcommand{\rmP}{\mathrm P} \newcommand{\rmQ}{\mathrm Q} \newcommand{\rmR}{\mathrm R} \newcommand{\rmS}{\mathrm S} \newcommand{\rmT}{\mathrm T} \newcommand{\rmU}{\mathrm U} \newcommand{\rmV}{\mathrm V} \newcommand{\rmW}{\mathrm W} \newcommand{\rmX}{\mathrm X} \newcommand{\rmY}{\mathrm Y} \newcommand{\rmZ}{\mathrm Z} \newcommand{\bb}{\mathbf{b}} \newcommand{\bv}{\mathbf{v}} \newcommand{\bw}{\mathbf{w}} \newcommand{\bx}{\mathbf{x}} \newcommand{\by}{\mathbf{y}} \newcommand{\bz}{\mathbf{z}} \newcommand{\paren}[1]{( #1 )} \newcommand{\Paren}[1]{\left( #1 \right)} \newcommand{\bigparen}[1]{\bigl( #1 \bigr)} \newcommand{\Bigparen}[1]{\Bigl( #1 \Bigr)} \newcommand{\biggparen}[1]{\biggl( #1 \biggr)} \newcommand{\Biggparen}[1]{\Biggl( #1 \Biggr)} \newcommand{\abs}[1]{\lvert #1 \rvert} \newcommand{\Abs}[1]{\left\lvert #1 \right\rvert} \newcommand{\bigabs}[1]{\bigl\lvert #1 \bigr\rvert} \newcommand{\Bigabs}[1]{\Bigl\lvert #1 \Bigr\rvert} \newcommand{\biggabs}[1]{\biggl\lvert #1 \biggr\rvert} \newcommand{\Biggabs}[1]{\Biggl\lvert #1 \Biggr\rvert} \newcommand{\card}[1]{\lvert #1 \rvert} \newcommand{\Card}[1]{\left\lvert #1 \right\rvert} \newcommand{\bigcard}[1]{\bigl\lvert #1 \bigr\rvert} \newcommand{\Bigcard}[1]{\Bigl\lvert #1 \Bigr\rvert} \newcommand{\biggcard}[1]{\biggl\lvert #1 \biggr\rvert} \newcommand{\Biggcard}[1]{\Biggl\lvert #1 \Biggr\rvert} \newcommand{\norm}[1]{\lVert #1 \rVert} \newcommand{\Norm}[1]{\left\lVert #1 \right\rVert} \newcommand{\bignorm}[1]{\bigl\lVert #1 \bigr\rVert} \newcommand{\Bignorm}[1]{\Bigl\lVert #1 \Bigr\rVert} \newcommand{\biggnorm}[1]{\biggl\lVert #1 \biggr\rVert} \newcommand{\Biggnorm}[1]{\Biggl\lVert #1 \Biggr\rVert} \newcommand{\iprod}[1]{\langle #1 \rangle} \newcommand{\Iprod}[1]{\left\langle #1 \right\rangle} \newcommand{\bigiprod}[1]{\bigl\langle #1 \bigr\rangle} \newcommand{\Bigiprod}[1]{\Bigl\langle #1 \Bigr\rangle} \newcommand{\biggiprod}[1]{\biggl\langle #1 \biggr\rangle} \newcommand{\Biggiprod}[1]{\Biggl\langle #1 \Biggr\rangle} \newcommand{\set}[1]{\lbrace #1 \rbrace} \newcommand{\Set}[1]{\left\lbrace #1 \right\rbrace} \newcommand{\bigset}[1]{\bigl\lbrace #1 \bigr\rbrace} \newcommand{\Bigset}[1]{\Bigl\lbrace #1 \Bigr\rbrace} \newcommand{\biggset}[1]{\biggl\lbrace #1 \biggr\rbrace} \newcommand{\Biggset}[1]{\Biggl\lbrace #1 \Biggr\rbrace} \newcommand{\bracket}[1]{\lbrack #1 \rbrack} \newcommand{\Bracket}[1]{\left\lbrack #1 \right\rbrack} \newcommand{\bigbracket}[1]{\bigl\lbrack #1 \bigr\rbrack} \newcommand{\Bigbracket}[1]{\Bigl\lbrack #1 \Bigr\rbrack} \newcommand{\biggbracket}[1]{\biggl\lbrack #1 \biggr\rbrack} \newcommand{\Biggbracket}[1]{\Biggl\lbrack #1 \Biggr\rbrack} \newcommand{\ucorner}[1]{\ulcorner #1 \urcorner} \newcommand{\Ucorner}[1]{\left\ulcorner #1 \right\urcorner} \newcommand{\bigucorner}[1]{\bigl\ulcorner #1 \bigr\urcorner} \newcommand{\Bigucorner}[1]{\Bigl\ulcorner #1 \Bigr\urcorner} \newcommand{\biggucorner}[1]{\biggl\ulcorner #1 \biggr\urcorner} \newcommand{\Biggucorner}[1]{\Biggl\ulcorner #1 \Biggr\urcorner} \newcommand{\ceil}[1]{\lceil #1 \rceil} \newcommand{\Ceil}[1]{\left\lceil #1 \right\rceil} \newcommand{\bigceil}[1]{\bigl\lceil #1 \bigr\rceil} \newcommand{\Bigceil}[1]{\Bigl\lceil #1 \Bigr\rceil} \newcommand{\biggceil}[1]{\biggl\lceil #1 \biggr\rceil} \newcommand{\Biggceil}[1]{\Biggl\lceil #1 \Biggr\rceil} \newcommand{\floor}[1]{\lfloor #1 \rfloor} \newcommand{\Floor}[1]{\left\lfloor #1 \right\rfloor} \newcommand{\bigfloor}[1]{\bigl\lfloor #1 \bigr\rfloor} \newcommand{\Bigfloor}[1]{\Bigl\lfloor #1 \Bigr\rfloor} \newcommand{\biggfloor}[1]{\biggl\lfloor #1 \biggr\rfloor} \newcommand{\Biggfloor}[1]{\Biggl\lfloor #1 \Biggr\rfloor} \newcommand{\lcorner}[1]{\llcorner #1 \lrcorner} \newcommand{\Lcorner}[1]{\left\llcorner #1 \right\lrcorner} \newcommand{\biglcorner}[1]{\bigl\llcorner #1 \bigr\lrcorner} \newcommand{\Biglcorner}[1]{\Bigl\llcorner #1 \Bigr\lrcorner} \newcommand{\bigglcorner}[1]{\biggl\llcorner #1 \biggr\lrcorner} \newcommand{\Bigglcorner}[1]{\Biggl\llcorner #1 \Biggr\lrcorner} \newcommand{\e}{\varepsilon} \newcommand{\eps}{\varepsilon} \newcommand{\from}{\colon} \newcommand{\super}[2]{#1^{(#2)}} \newcommand{\varsuper}[2]{#1^{\scriptscriptstyle (#2)}} \newcommand{\tensor}{\otimes} \newcommand{\eset}{\emptyset} \newcommand{\sse}{\subseteq} \newcommand{\sst}{\substack} \newcommand{\ot}{\otimes} \newcommand{\Esst}[1]{\bbE_{\substack{#1}}} \newcommand{\vbig}{\vphantom{\bigoplus}} \newcommand{\seteq}{\mathrel{\mathop:}=} \newcommand{\defeq}{\stackrel{\mathrm{def}}=} \newcommand{\Mid}{\mathrel{}\middle|\mathrel{}} \newcommand{\Ind}{\mathbf 1} \newcommand{\bits}{\{0,1\}} \newcommand{\sbits}{\{\pm 1\}} \newcommand{\R}{\mathbb R} \newcommand{\Rnn}{\R_{\ge 0}} \newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\mper}{\,.} \newcommand{\mcom}{\,,} \DeclareMathOperator{\Id}{Id} \DeclareMathOperator{\cone}{cone} \DeclareMathOperator{\vol}{vol} \DeclareMathOperator{\val}{val} \DeclareMathOperator{\opt}{opt} \DeclareMathOperator{\Opt}{Opt} \DeclareMathOperator{\Val}{Val} \DeclareMathOperator{\LP}{LP} \DeclareMathOperator{\SDP}{SDP} \DeclareMathOperator{\Tr}{Tr} \DeclareMathOperator{\Inf}{Inf} \DeclareMathOperator{\size}{size} \DeclareMathOperator{\poly}{poly} \DeclareMathOperator{\polylog}{polylog} \DeclareMathOperator{\min}{min} \DeclareMathOperator{\max}{max} \DeclareMathOperator{\argmax}{arg\,max} \DeclareMathOperator{\argmin}{arg\,min} \DeclareMathOperator{\qpoly}{qpoly} \DeclareMathOperator{\qqpoly}{qqpoly} \DeclareMathOperator{\conv}{conv} \DeclareMathOperator{\Conv}{Conv} \DeclareMathOperator{\supp}{supp} \DeclareMathOperator{\sign}{sign} \DeclareMathOperator{\perm}{perm} \DeclareMathOperator{\mspan}{span} \DeclareMathOperator{\mrank}{rank} \DeclareMathOperator{\E}{\mathbb E} \DeclareMathOperator{\pE}{\tilde{\mathbb E}} \DeclareMathOperator{\Pr}{\mathbb P} \DeclareMathOperator{\Span}{Span} \DeclareMathOperator{\Cone}{Cone} \DeclareMathOperator{\junta}{junta} \DeclareMathOperator{\NSS}{NSS} \DeclareMathOperator{\SA}{SA} \DeclareMathOperator{\SOS}{SOS} \DeclareMathOperator{\Stab}{\mathbf Stab} \DeclareMathOperator{\Det}{\textbf{Det}} \DeclareMathOperator{\Perm}{\textbf{Perm}} \DeclareMathOperator{\Sym}{\textbf{Sym}} \DeclareMathOperator{\Pow}{\textbf{Pow}} \newcommand{\iprod}[1]{\langle #1 \rangle} \newcommand{\cE}{\mathcal{E}} \newcommand{\E}{\mathbb{E}} \newcommand{\pE}{\tilde{\mathbb{E}}} \newcommand{\N}{\mathbb{N}} \renewcommand{\P}{\mathcal{P}} \notag $
$ \newcommand{\sleq}{\ensuremath{\preceq}} \newcommand{\sgeq}{\ensuremath{\succeq}} \newcommand{\diag}{\ensuremath{\mathrm{diag}}} \newcommand{\support}{\ensuremath{\mathrm{support}}} \newcommand{\zo}{\ensuremath{\{0,1\}}} \newcommand{\pmo}{\ensuremath{\{\pm 1\}}} \newcommand{\uppersos}{\ensuremath{\overline{\mathrm{sos}}}} \newcommand{\lambdamax}{\ensuremath{\lambda_{\mathrm{max}}}} \newcommand{\rank}{\ensuremath{\mathrm{rank}}} \newcommand{\Mslow}{\ensuremath{M_{\mathrm{slow}}}} \newcommand{\Mfast}{\ensuremath{M_{\mathrm{fast}}}} \newcommand{\Mdiag}{\ensuremath{M_{\mathrm{diag}}}} \newcommand{\Mcross}{\ensuremath{M_{\mathrm{cross}}}} \newcommand{\eqdef}{\ensuremath{ =^{def}}} \newcommand{\threshold}{\ensuremath{\mathrm{threshold}}} \newcommand{\vbls}{\ensuremath{\mathrm{vbls}}} \newcommand{\cons}{\ensuremath{\mathrm{cons}}} \newcommand{\edges}{\ensuremath{\mathrm{edges}}} \newcommand{\cl}{\ensuremath{\mathrm{cl}}} \newcommand{\xor}{\ensuremath{\oplus}} \newcommand{\1}{\ensuremath{\mathrm{1}}} \notag $
$ \newcommand{\transpose}[1]{\ensuremath{#1{}^{\mkern-2mu\intercal}}} \newcommand{\dyad}[1]{\ensuremath{#1#1{}^{\mkern-2mu\intercal}}} \newcommand{\nchoose}[1]{\ensuremath} \newcommand{\generated}[1]{\ensuremath{\langle #1 \rangle}} \notag $
$ \newcommand{\eqdef}{\mathbin{\stackrel{\rm def}{=}}} \newcommand{\R} % real numbers \newcommand{\N}} % natural numbers \newcommand{\Z} % integers \newcommand{\F} % a field \newcommand{\Q} % the rationals \newcommand{\C}{\mathbb{C}} % the complexes \newcommand{\poly}} \newcommand{\polylog}} \newcommand{\loglog}}} \newcommand{\zo}{\{0,1\}} \newcommand{\suchthat} \newcommand{\pr}[1]{\Pr\left[#1\right]} \newcommand{\deffont}{\em} \newcommand{\getsr}{\mathbin{\stackrel{\mbox{\tiny R}}{\gets}}} \newcommand{\Exp}{\mathop{\mathrm E}\displaylimits} % expectation \newcommand{\Var}{\mathop{\mathrm Var}\displaylimits} % variance \newcommand{\xor}{\oplus} \newcommand{\GF}{\mathrm{GF}} \newcommand{\eps}{\varepsilon} \notag $
$ \newcommand{\class}[1]{\mathbf{#1}} \newcommand{\coclass}[1]{\mathbf{co\mbox{-}#1}} % and their complements \newcommand{\BPP}{\class{BPP}} \newcommand{\NP}{\class{NP}} \newcommand{\RP}{\class{RP}} \newcommand{\coRP}{\coclass{RP}} \newcommand{\ZPP}{\class{ZPP}} \newcommand{\BQP}{\class{BQP}} \newcommand{\FP}{\class{FP}} \newcommand{\QP}{\class{QuasiP}} \newcommand{\VF}{\class{VF}} \newcommand{\VBP}{\class{VBP}} \newcommand{\VP}{\class{VP}} \newcommand{\VNP}{\class{VNP}} \newcommand{\RNC}{\class{RNC}} \newcommand{\RL}{\class{RL}} \newcommand{\BPL}{\class{BPL}} \newcommand{\coRL}{\coclass{RL}} \newcommand{\IP}{\class{IP}} \newcommand{\AM}{\class{AM}} \newcommand{\MA}{\class{MA}} \newcommand{\SBP}{\class{SBP}} \newcommand{\coAM}{\class{coAM}} \newcommand{\coMA}{\class{coMA}} \renewcommand{\P}{\class{P}} \newcommand\prBPP{\class{prBPP}} \newcommand\prRP{\class{prRP}} \newcommand\prP{\class{prP}} \newcommand{\Ppoly}{\class{P/poly}} \newcommand{\NPpoly}{\class{NP/poly}} \newcommand{\coNPpoly}{\class{coNP/poly}} \newcommand{\DTIME}{\class{DTIME}} \newcommand{\TIME}{\class{TIME}} \newcommand{\SIZE}{\class{SIZE}} \newcommand{\SPACE}{\class{SPACE}} \newcommand{\ETIME}{\class{E}} \newcommand{\BPTIME}{\class{BPTIME}} \newcommand{\RPTIME}{\class{RPTIME}} \newcommand{\ZPTIME}{\class{ZPTIME}} \newcommand{\EXP}{\class{EXP}} \newcommand{\ZPEXP}{\class{ZPEXP}} \newcommand{\RPEXP}{\class{RPEXP}} \newcommand{\BPEXP}{\class{BPEXP}} \newcommand{\SUBEXP}{\class{SUBEXP}} \newcommand{\NTIME}{\class{NTIME}} \newcommand{\NL}{\class{NL}} \renewcommand{\L}{\class{L}} \newcommand{\NQP}{\class{NQP}} \newcommand{\NEXP}{\class{NEXP}} \newcommand{\coNEXP}{\coclass{NEXP}} \newcommand{\NPSPACE}{\class{NPSPACE}} \newcommand{\PSPACE}{\class{PSPACE}} \newcommand{\NSPACE}{\class{NSPACE}} \newcommand{\coNSPACE}{\coclass{NSPACE}} \newcommand{\coL}{\coclass{L}} \newcommand{\coP}{\coclass{P}} \newcommand{\coNP}{\coclass{NP}} \newcommand{\coNL}{\coclass{NL}} \newcommand{\coNPSPACE}{\coclass{NPSPACE}} \newcommand{\APSPACE}{\class{APSPACE}} \newcommand{\LINSPACE}{\class{LINSPACE}} \newcommand{\qP}{\class{\tilde{P}}} \newcommand{\PH}{\class{PH}} \newcommand{\EXPSPACE}{\class{EXPSPACE}} \newcommand{\SigmaTIME}[1]{\class{\Sigma_{#1}TIME}} \newcommand{\PiTIME}[1]{\class{\Pi_{#1}TIME}} \newcommand{\SigmaP}[1]{\class{\Sigma_{#1}P}} \newcommand{\PiP}[1]{\class{\Pi_{#1}P}} \newcommand{\DeltaP}[1]{\class{\Delta_{#1}P}} \newcommand{\ATIME}{\class{ATIME}} \newcommand{\ASPACE}{\class{ASPACE}} \newcommand{\AP}{\class{AP}} \newcommand{\AL}{\class{AL}} \newcommand{\APSPACE}{\class{APSPACE}} \newcommand{\VNC}[1]{\class{VNC^{#1}}} \newcommand{\NC}[1]{\class{NC^{#1}}} \newcommand{\AC}[1]{\class{AC^{#1}}} \newcommand{\ACC}[1]{\class{ACC^{#1}}} \newcommand{\TC}[1]{\class{TC^{#1}}} \newcommand{\ShP}{\class{\# P}} \newcommand{\PaP}{\class{\oplus P}} \newcommand{\PCP}{\class{PCP}} \newcommand{\kMIP}[1]{\class{#1\mbox{-}MIP}} \newcommand{\MIP}{\class{MIP}} $
$ \newcommand{\textprob}[1]{\text{#1}} \newcommand{\mathprob}[1]{\textbf{#1}} \newcommand{\Satisfiability}{\textprob{Satisfiability}} \newcommand{\SAT}{\textprob{SAT}} \newcommand{\TSAT}{\textprob{3SAT}} \newcommand{\USAT}{\textprob{USAT}} \newcommand{\UNSAT}{\textprob{UNSAT}} \newcommand{\QPSAT}{\textprob{QPSAT}} \newcommand{\TQBF}{\textprob{TQBF}} \newcommand{\LinProg}{\textprob{Linear Programming}} \newcommand{\LP}{\mathprob{LP}} \newcommand{\Factor}{\textprob{Factoring}} \newcommand{\CircVal}{\textprob{Circuit Value}} \newcommand{\CVAL}{\mathprob{CVAL}} \newcommand{\CircSat}{\textprob{Circuit Satisfiability}} \newcommand{\CSAT}{\textprob{CSAT}} \newcommand{\CycleCovers}{\textprob{Cycle Covers}} \newcommand{\MonCircVal}{\textprob{Monotone Circuit Value}} \newcommand{\Reachability}{\textprob{Reachability}} \newcommand{\Unreachability}{\textprob{Unreachability}} \newcommand{\RCH}{\mathprob{RCH}} \newcommand{\BddHalt}{\textprob{Bounded Halting}} \newcommand{\BH}{\mathprob{BH}} \newcommand{\DiscreteLog}{\textprob{Discrete Log}} \newcommand{\REE}{\mathprob{REE}} \newcommand{\QBF}{\mathprob{QBF}} \newcommand{\MCSP}{\mathprob{MCSP}} \newcommand{\GGEO}{\mathprob{GGEO}} \newcommand{\CKTMIN}{\mathprob{CKT-MIN}} \newcommand{\MINCKT}{\mathprob{MIN-CKT}} \newcommand{\IdentityTest}{\textprob{Identity Testing}} \newcommand{\Majority}{\textprob{Majority}} \newcommand{\CountIndSets}{\textprob{\#Independent Sets}} \newcommand{\Parity}{\textprob{Parity}} \newcommand{\Clique}{\textprob{Clique}} \newcommand{\CountCycles}{\textprob{#Cycles}} \newcommand{\CountPerfMatchings}{\textprob{\#Perfect Matchings}} \newcommand{\CountMatchings}{\textprob{\#Matchings}} \newcommand{\CountMatch}{\mathprob{\#Matchings}} \newcommand{\ECSAT}{\mathprob{E#SAT}} \newcommand{\ShSAT}{\mathprob{#SAT}} \newcommand{\ShTSAT}{\mathprob{#3SAT}} \newcommand{\HamCycle}{\textprob{Hamiltonian Cycle}} \newcommand{\Permanent}{\textprob{Permanent}} \newcommand{\ModPermanent}{\textprob{Modular Permanent}} \newcommand{\GraphNoniso}{\textprob{Graph Nonisomorphism}} \newcommand{\GI}{\mathprob{GI}} \newcommand{\GNI}{\mathprob{GNI}} \newcommand{\GraphIso}{\textprob{Graph Isomorphism}} \newcommand{\QuantBoolForm}{\textprob{Quantified Boolean Formulae}} \newcommand{\GenGeography}{\textprob{Generalized Geography}} \newcommand{\MAXTSAT}{\mathprob{Max3SAT}} \newcommand{\GapMaxTSAT}{\mathprob{GapMax3SAT}} \newcommand{\ELIN}{\mathprob{E3LIN2}} \newcommand{\CSP}{\mathprob{CSP}} \newcommand{\Lin}{\mathprob{Lin}} \newcommand{\ONE}{\mathbf{ONE}} \newcommand{\ZERO}{\mathbf{ZERO}} \newcommand{\yes} \newcommand{\no} $

TGINF

Theory Graduate student and INdian Food (TGINF) is a student seminar at Harvard with a focus on the theoretical aspect of computer science. As the name suggested, there will only be theory grad students/post docs and indian food in TGINF. Well… recently there are some other types of food but nothing beyond.

The seminar takes place every Monday 5:30pm to 7:00 (talk starts around 6pm) at Maxwell-Dworkin Building Room 221 this semester (Spring 2019). Please email me if you want to be in the mailing list!

Future talks

29 Apr 2019 Alex on TBD
06 May 2019 Andrea on Faster Random k-CNF Satisfiability

Previous talks

22 Apr 2019 Christina on Composition in Differential Privacy
15 Apr 2019 Thibaut on Understanding and manipulating the hardness of one-way functions via computational analogues of entropies
08 Apr 2019 Thibaut on Understanding and manipulating the hardness of one-way functions via computational analogues of entropies
01 Apr 2019 Ben on Random Conjectures
25 Mar 2019 Fred on Mirror Descent, Online Learning, and Competitive Analysis
11 Mar 2019 Tselil on Sherali-Adams Strikes Back
04 Mar 2019 Juspreet and Emil on Hardness of RCS by Design
25 Feb 2019 Lijie on Non-deterministic Quasi-Polynomial Time is Average-case Hard for ACC Circuits
11 Feb 2019 Chi-Ning on The Algorithmic Power of Spiking Neural Networks
04 Feb 2019 Jarek on Introduction to compressed sensing
28 Jan 2019 Xinyu on BQP vs PH oracle separation with stochastic calculus
05 Nov 2018 Chi-Ning on Graph Complexity
29 Oct 2018 Ben on Cap Sets and Rigid Matrices
22 Oct 2018 Sasha on The Minrank of Random Graph
15 Oct 2018 Prayaag on Mean estimation in high dimensions
01 Oct 2018 Preetum on On Science
20 Sep 2018 Fred on Revisit minimum spanning tree
09 Jul 2018 Chi-Ning on ACC lower bounds for NQP
14 May 2018 Yi-Hsiu on Flattening Entropies
30 Apr 2018 Andrea on Tight Hardness for Shortest Cycles and Paths in Sparse Graphs
23 Apr 2018 Chi-Ning on Learning algorithm from natural proofs
16 Apr 2018 Kyle on Grothendieck's inequality
09 Apr 2018 Preetum on Prediction with Short Memory
02 Apr 2018 Zhixian on Noisy graph isomorphism
26 Mar 2018 Thibaut on Black box separations in cryptography and random oracles
19 Mar 2018 Nic on Dense Model Theorem
05 Mar 2018 Jarek on Monumental Graph Minor Theory
26 Feb 2018 Mrinal on Multivariate Polynomial Factorization - 101
12 Feb 2018 Chi-Ning on Subgraph conditioning method

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