From 9dba10a6bf8aadba8a1ff469956896d743579edd Mon Sep 17 00:00:00 2001 From: peterrrock2 Date: Fri, 1 Mar 2024 14:08:59 -0700 Subject: [PATCH] Fix Chris comments and docs --- .../images/gerrymandria_region_ensamble.gif | Bin 216706 -> 236274 bytes .../gerrymandria_water_and_muni_aware.png | Bin 52155 -> 51999 bytes .../gerrymandria_water_muni_ensamble.gif | Bin 218267 -> 178538 bytes docs/user/recom.rst | 65 +++++++++++++++++- gerrychain/tree.py | 51 +++++++------- tests/test_reproducibility.py | 2 +- tests/test_tree.py | 4 +- 7 files changed, 93 insertions(+), 29 deletions(-) diff --git a/docs/user/images/gerrymandria_region_ensamble.gif b/docs/user/images/gerrymandria_region_ensamble.gif index 20a72aa1d1f90bb5fae43d78d0e094f56f1b9453..91aed385fddaf6a99a235fbca8e6e8432b668212 100644 GIT binary patch delta 191010 zcmZ_V16w5y0514yYI2ipyQaySYOt@a1g$R_}dCAC2sSw(9uLvRa~sq(c{zb@W#|>OUY2DQVZG?+NZJNL`79x zK)!)~rgI;QI78%k0e3I*!CoEs%rc zo~aqQP&LLvq>+@2mYdEnMx)NsqA^&dbME5M-NUorQ_)Q-Q3^KSduYtfb*yQ9ren`t zIlZ%BVJXvOOH~bB1f7G7Uc`vsmJ`O1`j3xUitgUyR+73}p@;0sP*aeBKzeujdPvAZYiqE)9Ji2+rZ8Q)U2j&yoUV|2 zBI-GAqP7}5O#XUmrdy(o8r3&|tW3+TA|xsl;0seF7%n#|aJ<@=&ovOSp9RcH-+lRX zf5H&;4D1$o&c2=lN3rAx_~t%zy+@Jubp^xy7BlFBfX1eUgfUQ!+wr_OYBcag5iHdY zM!%!n^TrfxT?oP5#ta~U3B@H3)NzE9hTAg4uMZZwKyuUg%cWi!(tlmFDE6_)=7 zh&ZJPK=0K^j{4OvdKk=(Zn+RILw}Z^$Z<5f7sDy_?;sf(fiBtGNiy6hN;VL_NLGT} z(j;9W1}`y*`Y(@iEQ}thKg7lqoj)SEm8NdGSpA@R4#Q_UB`B!;H6fQxQ}Gz-m)PzB zHoqu79WCz5>2XSUe=t!F#P9=6E}gG5z^phd;XEM%2MRqWo8C}!7aIx!d}mye20AY( zHDAZ4t!}$JqpM-28!v(RskBQU5DB+C5}PU*QeI8(i*PPAFR%T#sq0OPzLrU<mKgE4gc|Xnnyy?`14kec}%QJCK{{u?a(Pm1JEBe={yadzZq6*(6TfBP9$6c%& zoP$k+9Q+4OAEg*lP5(KYEK@%`pdqVyol4H92oXxhfpJ)IY_-UHtsA_-xd~H4P`+W0 zL4OnYj83HA&DaJKpC5tBY}pO^M%;RYiZRW6gzVhSc}$_{d4!wmFY}}XvcG=b3C%(F zI<9CSK9=cE0k(ARwj(qvX9I}e`x`o}Y5xu2=o!n-5PNz_wHc3j^qMjQ0G_wQ85*>Y zOZv2C|N3iIE$#)k1()LW_3S^NwhMB;N;jXU43jig8eQ)-$27X%xQacyzuq%yd=oDU zq?S(`_|hhCH0HGIfQMnv5L^z=HBKeIagc}-V9xpF2UDxVGWL5za|Z~7B+Y3zp3)%zpC zyNEVqmhk;3K*dxtFV5w!qgAJrhG0b!s_DkI`@}AiS}V5PXZL^$J!XwB(jV#6l1Az+51Fha3I_NMVgvgD)f_8xs`g zOi1YIH>qZn!j>XWNVHl!qy~FPDMkz>#Ptt};AOuCS9GfBm}#RFFO)m)bqv~Dg0qc!H^ z=adOOWg>!QrD*)*%=pZI@+XUD&UM~7uc^QEg1vn%RP8<=?va-BNK?rp0yD=PXu&H} zK9eY&R7fgECxkdYAJpzr#QJD1X?;GMd7e~4@=3>cvBr}R@QW!J?4ouOvhFMBs zS}qoXzmP}n3X;~fQf-l5(!gJ$q+ha9ACXq7W_B+5%R#47AiZ3cty-*)ys0|DvogNa zR0@u=Ud!YiZ^~z{VuHD3e)XEDoL{Wr=CIc6@>(gtf2xgey)Yt^UX3AFtF%?EFz~j@ z9;be+|K@80(B~ph89&Ezi-xH%|1G1{+`Uwu&%|i)XJfqwES?fqf+eM4>8(BWv|QX& zwPRJsyHSGe-q>@*Xl!h~w%g6#R+MF<>`aibCBoUzJ;dygcQLd#|JYg&WAEH%y>S$g z+H}ZtW4(}}anFm>FduF2woIwnR7N>jHU437DQ+g2(14oODEx9YpZv%x5 zKw_8;;2U?^O-=C%z<_p^qhvfrWBKXSFF^b?o;k+g&I6vXf4T$hG5#cX)YRW)h&wD! 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zb2T3{8o0uOG*b9V<)L_!;N*P^y4=D9ne_79?TE_K7M$~obPdLgicc;gZADe^mh0B# zC4adK8uhq03N_kc@EJ_zT$c7DnZlH->JcbBGg~zD&LMDBf&QvvDb zS)gv{aZv`P-(>_a>D5qW#A=ZWk~q|M?*VGG!P0Ek#q(V(`f zWt*Q8p*wpTx}ps1-hLw-T=A)tkwu$S6~Ag(|MuO`v;Q;u>h1b8ugEN*0yID;-IOPv z;VU@yy&(qY-!T(+=541c3TQgl#Gd>@xD$Bmw-nd>to62=D)bjL?FUamlD$k_0|hkk z+x6Uqzd#g5T}BJU(=|lom+I|$n$a{Y+|}k;6u_*oR7ayw26zq%;V4&fv+{iau%%KA z<$` z9TcZasE;z^BmcZm2C2E$N85Rk6CBWta?jVtxO9;d{Vp5jzpIb+c_Sx*r5zInHpGSS zQIKJkkBNV6h>!82pdhCONh>!bq;yeGv6h469U2mI-Y959X~&fk8j?!*DCtzn$JH7d zl50%7C>e}tC$#1pQd+twnH +How the Region Aware Implementation Works +----------------------------------------- + +When working with region-aware ReCom chains, it is worth knowing how the spanning tree +of the dual graph is being split. Weights are randomly assigned to the edges of the graph +and then the surcharges are applied to the edges in the graph that span different regions +specified by the ``region_surcharge`` dictionary. So if we have +``region_surcharge={"muni": 0.2, "water": 0.8}``, then the edges that span different +municipalities will be upweighted by 0.2 and the edges that span different water districts +will be upweighted by 0.8. We then draw a minimum spanning tree using Kruskal's algorithm, +which picks the edges interior to the region first before picking the edges that bridge +different regions. + +This makes it very likely that each region is largely contained in a connected subtree +attached to a bridge node. Thus, when we make a cut, the regions attached to the +bridge node are more likely to be (mostly) preserved in the subtree on either side +of the cut. + +In the implementation of :meth:`~gerrychain.tree.biparition_tree` we further bias this +choice by deterministically selecting bridge edges first. In the event that multiple +types of regions are specified, the surcharges are added together, and edges are selected +first by the number of types of regions that they span, and then by the surcharge added to +those weights. So, if we have a region surcharge dictionary of ``{"a": 1, "b": 4, "c": 2}`` +then we we look for edges according to the order + +- ("a", "b", "c") +- ("b", "c") +- ("a", "b") +- ("a", "c") +- ("b") +- ("c") +- ("a") +- random + +where the tuples indicate that a desired cut edge bridges both types of region in +the tuple. In the event that this is not the desired behaviour, then the user can simply +alter the ``cut_choice`` function in the constraints to be different. So, if the user +would prefer the cut edge to be a random edge with no deference to bridge edges, +then they might use ``random.choice()`` in the following way: + +.. code-block:: python + + proposal = partial( + recom, + pop_col="TOTPOP", + pop_target=ideal_population, + epsilon=0.01, + node_repeats=1, + region_surcharge={ + "muni": 2.0, + "water_dist": 2.0 + }, + method = partial( + bipartition_tree, + cut_choice = random.choice, + ) + ) + +**Note**: When ``region_surcharge`` is not specified, ``bipartition_tree`` will behave as if +``cut_choice`` is set to ``random.choice``. + .. .. attention:: @@ -288,7 +349,7 @@ while also being sensitive to the municipalities .. the surcharges are in the range :math:`[0,1]`, then the surcharges from the surcharge .. dictionary are added to them. In the event that .. many edges within the tree have a surcharge above 1, then it can sometimes -.. cause the biparitioning step to stall. +.. cause the bipartitioning step to stall. What to do if the Chain Gets Stuck diff --git a/gerrychain/tree.py b/gerrychain/tree.py index 3bb5c348..0f61583f 100644 --- a/gerrychain/tree.py +++ b/gerrychain/tree.py @@ -210,7 +210,7 @@ def __repr__(self) -> str: Cut.__doc__ = "Represents a cut in a graph." Cut.edge.__doc__ = "The edge where the cut is made. Defaults to None." Cut.weight.__doc__ = "The weight assigned to the edge (if any). Defaults to None." -Cut.subset.__doc__ = "The subset of nodes on one side of the cut. Defaults to None." +Cut.subset.__doc__ = "The (frozen) subset of nodes on one side of the cut. Defaults to None." def find_balanced_edge_cuts_contraction( @@ -242,7 +242,7 @@ def find_balanced_edge_cuts_contraction( Cut( edge=e, weight=h.graph.edges[e].get("random_weight", random.random()), - subset=h.subsets[leaf].copy() + subset=frozenset(h.subsets[leaf].copy()) ) ) # Contract the leaf: @@ -351,7 +351,7 @@ def find_balanced_edge_cuts_memoization( Cut( edge=e, weight=h.graph.edges[e].get("random_weight", wt), - subset=_part_nodes(node, succ) + subset=frozenset(_part_nodes(node, succ)) ) ) elif abs((total_pop - tree_pop) - h.ideal_pop) <= h.ideal_pop * h.epsilon: @@ -361,7 +361,7 @@ def find_balanced_edge_cuts_memoization( Cut( edge=e, weight=h.graph.edges[e].get("random_weight", wt), - subset=set(h.graph.nodes) - _part_nodes(node, succ), + subset=frozenset(set(h.graph.nodes) - _part_nodes(node, succ)), ) ) return cuts @@ -390,22 +390,25 @@ def _max_weight_choice( cut_edge_list: List[Cut] ) -> Cut: """ - Each Cut object in the list is assigned a random weight - either coming from the implementation of Kruskal's algorithm + Each Cut object in the list is assigned a random weight. + This random weight is either assigned during the call to + the minimum spanning tree algorithm (Kruskal's) algorithm or it is generated during the selection of the balanced edges (cf. :meth:`find_balanced_edge_cuts_memoization` and :meth:`find_balanced_edge_cuts_contraction`). This function returns the cut with the highest weight. - In the case of a situation where a region aware chain is run, - this will preferentially select for cuts that are between - regions, rather than within them (the likelihood of this + In the case where a region aware chain is run, this will + preferentially select for cuts that span different regions, rather + than cuts that are interior to that region (the likelihood of this is generally controlled by the ``region_surcharge`` parameter). - In all other cases, this is effectively the same as calling - random.choice() on the list of cuts since all of the weights + In any case where the surcharges are either not set or zero, + this is effectively the same as calling random.choice() on the + list of cuts. Under the above conditions, all of the weights on the cuts are randomly generated on the interval [0,1], and - there is no mechanism in place weight any cut edge over another. + there is no outside force that might make the weight assigned + to a particular type of cut higher than another. :param cut_edge_list: A list of Cut objects. Each object has an edge, a weight, and a subset attribute. @@ -452,14 +455,14 @@ def _region_preferred_max_weight_choice( """ This function is used in the case of a region-aware chain. It is similar to the as :meth:`_max_weight_choice` function except - that it will preferentially select one of the cuts that - has the highest surcharge preferentially. So, if we have a - weight dict of the form ``{region1: wt1, region2: wt2}`` , then - this function first looks for a cut that is a cut edge for both - ``region1`` and ``region2`` and then selects the one with the - highest weight. If no such cut exists, then it will then look for - a cut that is a cut edge for the region with the highest surcharge - (presumably the region that we care more about not splitting). + that it will preferentially select one of the cuts that has the + highest surcharge. So, if we have a weight dict of the form + ``{region1: wt1, region2: wt2}`` , then this function first looks + for a cut that is a cut edge for both ``region1`` and ``region2`` + and then selects the one with the highest weight. If no such cut + exists, then it will then look for a cut that is a cut edge for the + region with the highest surcharge (presumably the region that we care + more about not splitting). In the case of 3 regions, it will first look for a cut that is a cut edge for all 3 regions, then for a cut that is a cut edge for @@ -537,7 +540,7 @@ def bipartition_tree( max_attempts: Optional[int] = 100000, warn_attempts: int = 1000, allow_pair_reselection: bool = False, - cut_choice: Callable = random.choice + cut_choice: Callable = _region_preferred_max_weight_choice ) -> Set: """ This function finds a balanced 2 partition of a graph by drawing a @@ -572,8 +575,8 @@ def bipartition_tree( :param balance_edge_fn: The function to find balanced edge cuts. Defaults to :func:`find_balanced_edge_cuts_memoization`. :type balance_edge_fn: Callable, optional - :param choice: The function to make a random choice. Passed to ``balance_edge_fn``. - Can be substituted for testing. + :param choice: The function to make a random choice of root node for the population + tree. Passed to ``balance_edge_fn``. Can be substituted for testing. Defaults to :func:`random.random()`. :type choice: Callable, optional :param max_attempts: The maximum number of attempts that should be made to bipartition. @@ -586,7 +589,7 @@ def bipartition_tree( function to ask it to reselect the pair of nodes to try and recombine. Defaults to False. :type allow_pair_reselection: bool, optional :param cut_choice: The function used to select the cut edge from the list of possible - balanced cuts. Defaults to :meth:`_max_weight_choice` . + balanced cuts. Defaults to :meth:`_region_preferred_max_weight_choice` . :type cut_choice: Callable, optional :returns: A subset of nodes of ``graph`` (whose induced subgraph is connected). The other diff --git a/tests/test_reproducibility.py b/tests/test_reproducibility.py index 8f5ce1cc..755d499b 100644 --- a/tests/test_reproducibility.py +++ b/tests/test_reproducibility.py @@ -112,5 +112,5 @@ def test_pa_freeze(): # This needs to be changed every time we change the # tests around - assert hashlib.sha256(result.encode()).hexdigest() == "2e0d148c22f4d2f7f9ae39c8950892f4574ea65d197657c14446c359c5ccfd8e" + assert hashlib.sha256(result.encode()).hexdigest() == "7f355cd0f7c235f4d285db1c7593ba0d4a5558c404b70521c9837125df418384" \ No newline at end of file diff --git a/tests/test_tree.py b/tests/test_tree.py index 5ea3f65f..e419a3ca 100644 --- a/tests/test_tree.py +++ b/tests/test_tree.py @@ -53,7 +53,7 @@ def twelve_by_twelve_with_pop(): def test_bipartition_tree_returns_a_subset_of_nodes(graph_with_pop): ideal_pop = sum(graph_with_pop.nodes[node]["pop"] for node in graph_with_pop) / 2 result = bipartition_tree(graph_with_pop, "pop", ideal_pop, 0.25, 10) - assert isinstance(result, set) + assert isinstance(result, frozenset) assert all(node in graph_with_pop.nodes for node in result) @@ -240,7 +240,7 @@ def test_prime_bound(): def test_bipartition_tree_random_returns_a_subset_of_nodes(graph_with_pop): ideal_pop = sum(graph_with_pop.nodes[node]["pop"] for node in graph_with_pop) / 2 result = bipartition_tree_random(graph_with_pop, "pop", ideal_pop, 0.25, 10) - assert isinstance(result, set) + assert isinstance(result, frozenset) assert all(node in graph_with_pop.nodes for node in result)

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